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Vodi konferencije
Conference Information
č
Справочник конференции
Matematičke i informacione tehnologije
Mathematical and Informational Technologies
Математические и информационные технологии
Univerzitet u Prištini
Prirodno-matematički fakultet
Kosovska Mitrovica
MIT 2009August, 27 - 31, 2009, Kopaonik, Serbia
August, 31 - September, 5, 2009, Budva, Montenegro
MIT 2009 1
Kopaonik, 27.08 - 31.08.2009 Budva, 31.08. - 05.09.2009.
Vodič konferencijeСправочник конференции
Conference Informa on
MIT 2009 2
Kopaonik, 27.08 - 31.08.2009 Budva, 31.08. - 05.09.2009.
Matema čke i informacione tehnologijeМатематические и информационные технологииMathema cal and Informa onal Technologies
Vodič konferencijeСправочник конференцииConference Informa on
Tehnički urednik: Dragan Aćimović
Izdavač: Prirodno-matema čki fakultet Kosovska Mitrovica Lole Ribara br. 29 tel: 028/425-396
Za izdavača: Prof. dr Ka ca Kosanović
Tiraž: 150 primeraka
MIT 2009 3
Kopaonik, 27.08 - 31.08.2009 Budva, 31.08. - 05.09.2009.
Organizatori konferencije:• Ins tut računarskih tehnologija SO RAN, Novosibirsk, Rusija• Univerzitet u Priš ni, Prirodno-matema čki fakultet, Kosovska Mitrovica,
Srbija• Novosibirski državni tehnički univerzitetet, Novosibirsk, Rusija• Kazahstanski nacionalni univerzitet “Al Farabi”, Alma Ata, Kazahstan
Организаторы конференции: • Институт вычислительных технологий СО РАН, Новосибирск, Россия• Приштинский университет, Естественно-математический факультет,
Косовска Митровица, Сербия• Новосибирский государственный технический университет,
Новосибирск, Россия• Казахский национальный университет им. аль-Фараби, Алматы,
Казахстан
The conference is organized by • Ins tute of Computa onal Technologies, Siberian Branch of the Russian
Academy of Sciences, Novosibirsk, Russia• University of Pris na, Kosovska Mitrovica, Serbia• Novosibirsk State Technical University, Novosibirsk, Russia• Al-Farabi Kazakh Na onal University, Almaty, KazakhstanPokrovitelji konferencije:• Ministarstvo za nauku i tehnološki razvoj Republike Srbije• Prirodno-matema čki fakultet, Kosovska Mitrovica• Državni Univerzitet u Novom Pazaru• Univerzitet u Priš ni, Kosovska Mitrovica• Medicinski fakultet, Kosovska Mitrovica• Prof. dr Hranislav Milošević
Конференция проводится при поддержке:• Министерства науки и технологического развития Республики Сербия• Естественно-математического факультета университета Приштины, Косовска
Митровица, Сербия• Государственного университета в Нови Пазаре, Сербия• Университета Приштины, Косовска Митровица, Сербия• Медицинский факультет , Косовска Митровица, Сербия• Профессора Хранислава Милошевича
The Conference is supported by the:• Ministry of Science and Technological Development of the Republic of Serbia• Natural-mathema cal department, University of Pris na, Kosovska Mitrovica, Serbia• Novi Pazar State University• University of Pris na, Kosovska Mitrovica, Serbia• School of Medicine, Kosovska Mitrovica, Serbia• Prof. Dr. Hranislav Milosevic
MIT 2009 4
Kopaonik, 27.08 - 31.08.2009 Budva, 31.08. - 05.09.2009.
Teme Konferencije: Računarske tehnologije:Računski metodi i računarski algoritmi za modelovanje složenih fi zičkih pojava, or-ganizacija paralelnog i distribuiranog računanrstva, teorija paralelnih procesa.
Informacione i telekomunikacione tehnologije:Integracija distribuiranih informacionih resursa, obrada prostorno-raspoređenih po-dataka, tematski i programski orjen sani informacioni sistemi za geografske podatke i znanja, nove telekomunikacione tehnologije.
Matema čke tehnologije:Diferencijalne jednačine u prirodnim naukama i tehnici, kompleksna analiza, osnovni i primenjeni zadaci matema čke sta s ke i terije verovatnoće.
Направления работы:Вычислительные технологии: Численные методы и вычислительные алгоритмы для моделирования сло-жных физических явлений; организация параллельных и распределенных вычислений, теория параллельных процессов.
Информационные и телекоммуникационные технологии: Интеграция распределенных информационных ресурсов, обработка пространственно-распределенных данных; проблемно-ориентированные и предметно-ориентированные базы географических данных и знаний; новые телекоммуникационные технологии.
Математические технологии: Дифференциальные уравнения в задачах естествознания и техники, компле-ксный анализ; фундаментальные и прикладные задачи математической ста-тистики и теория вероятности.
Conference Topics:Compu ng technologies:Numerical methods and computa onal algorithms for modelling of the complex physical phenomena, parallel and distributed calcula ons, theory of parallel proc-esses.
Informa on and telecommunica on technologies:Integra on of distributed informa on resources, processing of spa ally distributed data; problem-oriented and subject-oriented informa on systems for geographical data and knowledge; new telecommunica onal technologies.
Mathema cal technologies:Diff eren al equa ons in problems of natural sciences and engineering; complex analysis; fundamental and applied problems of mathema cal sta s cs and prob-ability theory.
MIT 2009 5
Kopaonik, 27.08 - 31.08.2009 Budva, 31.08. - 05.09.2009.
Programski odbor:Šokin J. I., akademik, Rusija, predsednikDoličanin Ć., rektor Univerziteta u N. Pazaru, Srbija, kopredsednikŽumagulov B. T., akademik, Kazahstan, kopredsednikJovanović А., prorektor Univerziteta u Priš ni, Srbija, kopredsednikKosanović K., dekan PMF Univerziteta u Priš ni, Srbija, kopredsednikMilošević H., profesor, Srbija, predsednik Organizacionog odboraPetković D., profesor, Srbija, naučni sekretarČubarov L. B., profesor, Rusija, naučni sekretarBanjanin М., profesor, Bosna i HercegovinaVuković М., profesor, Bosna i HercegovinaGovedarica V., profesor, Bosna i HercegovinaPikula M., profesor, Bosna i HercegovinaKrener D., profesor, NemačkaRozner K., profesor, NemačkaReš М., profesor, NemačkaŠokina N., doktor, NemačkaKit E., profesor, IzraelSladkević М., doktor, IzraelDanaev N. T., profesor, KazahstanMansurov Z. A., profesor, KazahstanOrunhanov М. К., profesor, KazahstanTemirbekov N. М., profesor, KazahstanŽajnakov А. Ž., profesor, KirgistanDimitrovski D., profesor, MakedonijaBičkov I. V., član RAN, RusijaJerohin G. N., profesor, RusijaMoskvićev V. V., profesor, RusijaPotapov V. P., profesor, RusijaRičkov A. D., profesor, RusijaSmagin S. I., član RAN, RusijaStempkovskij A. L., akademik, RusijaFedotov A. M., član RAN, RusijaHoroševskij V. G., član RAN, Rusija
MIT 2009 6
Kopaonik, 27.08 - 31.08.2009 Budva, 31.08. - 05.09.2009.
Šajdurov V. V., član RAN, RusijaBanković B., profesor, SrbijaGajić L., profesor, SrbijaDoroslovački R., profesor, SrbijaŽorić А., profesor, SrbijaMijailović Ž., profesor, SrbijaMilovanović G., akademik, SrbijaMilovanović I., profesor, SrbijaMijailović B., profesor, SrbijaPetrović М., profesor, SrbijaPilipović S., akademik, SrbijaPro ć Е., profesor, SrbijaRadenković S., profesor, SrbijaRakočević V., profesor, SrbijaRajović М., profesor, SrbijaCakić N., profesor, SrbijaKanantaj А., profesor, TajlandTahir Beriri Mohamed, profesor, TunisJuldašev Z. H., profesor, UzbekistanPavićević Ž., profesor, Crna GoraEjnarson B., profesor, ŠvedskaRadenković B., profesor, SrbijaSamodurov A. A., profesor, Belorusija
MIT 2009 7
Kopaonik, 27.08 - 31.08.2009 Budva, 31.08. - 05.09.2009.
Программный комитет:Шокин Ю.И., академик, Россия, председательДоличанин Ч., профессор, Сербия, сопредседательЖумагулов Б.Т., академик, Казахстан, сопредседательЁванович А., профессор, Сербия, сопредседательКосанович К., профессор, Сербия, сопредседательМилошевич Х. , профессор, Сербия, председатель Орг. комитетаПеткович Д., профессор, Сербия, ученый секретарьЧубаров Л.Б., профессор, Россия, ученый секретарьСамодуров А.А., профессор, БеларусьБанянин М., профессор, Босния и ГерцеговинаВукович М., профессор, Босния и ГерцеговинаГоведарица В., профессор, Босния и ГерцеговинаПикула М., профессор, Босния и ГерцеговинаКренер Д., профессор, ГерманияРознер K., профессор, ГерманияРэш М., профессор, ГерманияШокина Н., доктор, ГерманияКит Э., профессор, ИзраильСладкевич М., доктор, ИзраильДанаев Н.Т., профессор, КазахстанМансуров З.А., профессор, КазахстанОрунханов М.К., профессор, КазахстанТемирбеков Н.М., профессор, КазахстанЖайнаков А.Ж., профессор, КыргызстанДимитровски Д., профессор, МакедонияБычков И.В., чл.-к. РАН, РоссияЕрохин Г.Н., профессор, РоссияМосквичев В.В., профессор, РоссияПотапов В.П., профессор, РоссияРычков А.Д., профессор, РоссияСмагин С.И., чл.-к. РАН, РоссияСтемпковский А.Л., академик, РоссияФедотов А.М., чл.-к. РАН, Россия
MIT 2009 8
Kopaonik, 27.08 - 31.08.2009 Budva, 31.08. - 05.09.2009.
Хорошевский В.Г., чл.-к. РАН, РоссияШайдуров В.В., чл.-к. РАН, РоссияБанкович Б., профессор, СербияГаич Л., профессор, СербияДорословачки Р., профессор, СербияЖорич А., профессор, СербияМияилович Б., профессор, СербияМияилович Ж., профессор, СербияМилованович Г., академик, СербияМилованович И., профессор, СербияПетрович М., профессор, СербияПилипович С., академик, СербияПротич Е., профессор, СербияРаденкович Б., профессор, СербияРаденович С., профессор, СербияРакочевич В., профессор, СербияРаёвич М., профессор, СербияЦакич Н., профессор, СербияКанантай А., профессор, ТаиландТахар Берири Мохамед, профессор, ТунисЮлдашев З.Х., профессор, УзбекистанПавичевич Ж., профессор, ЧерногорияЭйнарссон Б., профессор, Швеция
MIT 2009 9
Kopaonik, 27.08 - 31.08.2009 Budva, 31.08. - 05.09.2009.
Programm Commi ee:Shokin Yu.I., Academician, Russia , Chairman Dolicanin C., Professor, Serbia, Co-chairman Zhumagulov B.T., Academician, Kazakhstan, Co-chairman Jovanovic A., Professor, Serbia, Co-chairman Kosanovic K., Professor, Serbia, Co-chairman Milosevic H. , Professor, Serbia, Chairman of Organizing Commi eePetkovic D., Professor, Serbia, Scien fi c Secretary Chubarov L.B., Professor, Russia, Scien fi c Secretary Samodurov A.A., Professor, BelarusBanjanin M., Professor, Bosnia and HerzegovinaVukovic M., Professor, Bosnia and HerzegovinaGovedarica V., Professor, Bosnia and HerzegovinaPikula M., Professor, Bosnia and HerzegovinaKroener D., Professor, GermanyResch M., Professor, GermanyRoesner K., Professor, GermanyShokina N.Yu., Doctor, GermanyKit E., Professor, IsraelSladkevich M.S., Doctor, Israel Danaev N.T., Professor, KazakhstanMansurov Z.A., Professor, KazakhstanOrunkhanov M.K., Professor, KazakhstanTemirbekov N.M., Professor, KazakhstanZhainakov A.Zh., Professor, KyrgyzstanDimitrovski D., Professor, MacedoniaPavicevic Z., Professor, MontenegroBychkov I.V., Corresponding Member of RAS, Russia Erokhin G.N., Professor, Russia Fedotov A.M., Corresponding Member of RAS, Russia Khoroshevskii V.G., Corresponding Member of RAS, Russia Moskvichev V.V., Professor, Russia Potapov V.P., Professor, Russia Rychkov A.D., Professor, Russia
MIT 2009 10
Kopaonik, 27.08 - 31.08.2009 Budva, 31.08. - 05.09.2009.
Shaidurov V.V., Corresponding Member of RAS, Russia Smagin S.I., Corresponding Member of RAS, Russia Stempkovskii A.L., Academician, Russia Bankovic B., Professor, SerbiaCakic N., Professor, SerbiaDoroslovacki R., Professor, SerbiaGaic L., Professor, SerbiaMijailovic B., Professor, SerbiaMijailovic Z., Professor, SerbiaMilovanovic G., Academician, SerbiaMilovanovic I., Professor, SerbiaPetrovic M., Professor, SerbiaPilipovic S., Academician, SerbiaPro c J., Professor, SerbiaRadenkovic B., Professor, SerbiaRadenovic S., Professor, SerbiaRajevic M., Professor, SerbiaRakocevic V., Professor, SerbiaZoric A., Professor, SerbiaEinarsson B., Professor, SwedenKanantai A., Professor, Thailand Tahar Berriri Mohamed, Professor, TunisYuldashev Z.Kh., Professor, Uzbekistan
MIT 2009 11
Kopaonik, 27.08 - 31.08.2009 Budva, 31.08. - 05.09.2009.
Plan rada konferencije MIT 2009 - Kopaonik
Četvrtak,27.08.2009. 14:00 - 22:00 Dolazak i registracija učesnika
Petak,28.08.2009.
08:0009:0009:3011:0011:3013:3014:3016:3016:4518:30
20:30
Registracija učesnika Otvaranje konferencijePlenarna sednicaPrijem kod Dekana - koktelPlenarna sednicaRučakRad po sekcijama Kafe pauza Rad po sekcijama Okrugli sto „Matematika i informatika, savremeni tokovi“ Večera
Subota,29.08.2009.
09:0011:0011:1513:3014:3016:3016:4518:3020:30
Plenarna sednica Kafe pauza Plenarna sednica Ručak Rad po sekcijamaKafe pauzaRad po sekcijamaZavršetak rada po sekcijamaSvečana večera - banket (restoran hotela Grand)
nedelja,30.08.2009.
09:0011:0011:1513:3015:0020:30
Plenarna sednica Kafe pauza Završna plenarna sednicaRučakIzlet žičarom na Pančićev vrhVečera
ponedeljak,31.08.2009.
09:00 Odlazak učesnika kući09:00 Deo učesnika Konferencije, koji nastavljaju
sa radom u Budvi, putuje uz obilazak manastira Gradac i Sopoćani.
MIT 2009 12
Kopaonik, 27.08 - 31.08.2009 Budva, 31.08. - 05.09.2009.
Plan rada konferencije MIT 2009 - Budva
Utorak,01.09.2009.
09:0013:3014:3016:3016:4519:00
Prezentacija postera T1RučakZasedanje radne grupe W2Kafe pauzaZasedanje radne grupe W2Završetak rada
Sreda,02.09.2009.
09:0013:3014:3016:3016:4519:00
Prezentacija postera T2RučakZasedanje radne grupe W3Kafe pauzaZasedanje radne grupe W3Završetak rada
Četvrtak,03.09.2009.
09:0013:3014:3016:3016:4519:00
Prezentacija postera T3RučakZasedanje radne grupe W4Kafe pauzaZasedanje radne grupe W4Završetak rada
Petak,04.09.2009.
09:0011:3013:30
Zasedanje radne grupe W5Zatvaranje konferencijeRučak
MIT 2009 13
Kopaonik, 27.08 - 31.08.2009 Budva, 31.08. - 05.09.2009.
Расписание работы конференции МИТ 2009- Копаоник
Четверг, 27.08.2009.
14:00 - 22:00 Приезд и регистрация участников
Пятница, 28.08.2009.
08:0009:0009:3011:0011:3013:3014:3016:3016:4518:30
20:30
Регистрация участниковОткрытие конференцииПленарное заседание Перерыв (прием у декана)Пленарное заседание Обед Секционные заседания Перерыв Секционные заседания Круглый стол «Математика и информатика, современные проблемы»Ужин
Суббота, 29.08.2009.
09:0011:0011:1513:3014:3016:3016:4518:3020:30
Пленарное заседаниеПерерывПленарное заседаниеОбедСекционные заседанияПерерывСекционные заседанияОкончание работыТоржественный ужин – банкет (ресторан гостиницы Гранд)
Воскресенье, 30.08.2009.
09:0011:0011:1513:3015:00
20:30
Пленарное заседаниеПерерывЗавершающее пленарное заседаниеОбедПодъем на фуникулере к вершине «Панчи-чев Врх»Ужин
Понедельник, 31.08.2009. 09:00 Отъезд участников, завершивших работу на
конференции09:00 Отъезд участников, продолжающих работу в
Будве, с посещением по дороге монастырей Градац и Сопочаны.
MIT 2009 14
Kopaonik, 27.08 - 31.08.2009 Budva, 31.08. - 05.09.2009.
Расписание работы конференции МИТ- Будва
Вторник,01.09.2009.
09:0013:3014:3016:3016:4519:00
Стендовые доклады T1ОбедЗаседание рабочей группы W2ПерерывЗаседание рабочей группы W2Окончание работы
Среда,02.09.2009.
09:0013:3014:3016:3016:4519:00
Стендовые доклады T2ОбедЗаседание рабочей группы W3ПерерывЗаседание рабочей группы W3Окончание работы
Четверг,03.09.2009.
09:0013:3014:3016:3016:4519:00
Стендовые доклады T3ОбедЗаседание рабочей группы W4ПерерывЗаседание рабочей группы W4Окончание работы
Пятница,04.09.2009.
09:0011:3013:30
Заседание рабочей группы W5Закрытие конференцииОбед
MIT 2009 15
Kopaonik, 27.08 - 31.08.2009 Budva, 31.08. - 05.09.2009.
MIT 2009 Timetable - Kopaonik
Thursday, 27.08.2009.
14:00 - 22:00 Arrival and registra on of par cipants
Friday, 28.08.2009.
08:00 09:0009:3011:0011:3013:3014:3016:3016:4518:30
20:30
Registra on of par cipantsConference openingPlenary sessionWelcome reception - coctailPlenary sessionLunchWorkshops Coff ee breakWorkshopsRound table „Mathema cal and Informa on Sciences, contemporary tendencies “ Dinner
Saturday, 29.08.2009.
09:0011:0011:1513:3014:3016:3016:4518:3020:30
Plenary session Coff ee breakPlenary session LunchWorkshopsCoff ee BreakWorkshopsEnd of dayBanquet (restaurant of hotel Grand))
Sunday, 30.08.2009.
09:0011:0011:1513:3015:0020:30
Plenary session Coff ee Break Closing plenary sessionLunchTour to the Pancic’s Peak Dinner
Monday, 31.08.2009.
09:00 Departure09:00 Par cipants con nue Conferernce are travel-
ling to Budva, Montenegro, and they will visit monasteries Gradac and Sopocani on their way.
MIT 2009 16
Kopaonik, 27.08 - 31.08.2009 Budva, 31.08. - 05.09.2009.
MIT 2009 Timetable - Budva
Tuesday,01.09.2009.
09:0013:3014:3016:3016:4519:00
Poster session T1LunchWorking group W2Coffee breakWorking group W2End of day
Wednesday,02.09.2009.
09:0013:3014:3016:3016:4519:00
Poster session T2LunchWorking group W3Coff ee breakWorking group W3End of day
Thursday,03.09.2009.
09:0013:3014:3016:3016:4519:00
Poster session T3LunchWorking group W4Coffee breakWorking group W4End of day
Friday,04.09.2009.
09:0011:3013:30
Working group W5Conference closingLunch
MIT 2009 17
Kopaonik, 27.08 - 31.08.2009 Budva, 31.08. - 05.09.2009.
RADNE GRUPE
W1 – Radna grupa (okrugli sto) “Matema ka i informa ka, savremeni tokovi”Profesor Jurij Jakovlevič BelovProfesor Dojčin PetkovićProfesor Miloje Rajović Profesor Vladica StojanovićProfesor Stana CvejićProfesor Vladimir Viktorovič Šajdurov
W2 – Radna grupa (okrugli sto)“Problemi savremenog matema čkog obrazovanja”Profesor Jurij Ivanovič ŠokinProfesor Jurij Jakovlevič BelovProfesor Hranislav MiloševićProfesor Mihail Petrovič FedorukProfesor Vladimir Viktorovič Šajdurov
W3 – Radna grupa (okrugli sto) “Matema čko modeliranje”Profesor Vladimir Viktorovič ŠajdurovProfesor Sergej Kuzmič GoluškoProfesor Eliezer KitProfesor Hranislav MiloševićProfesor Vladimir Viktorovič MoskvićevProfesor Aleksandar Dimitrijevič RičkovProfesor Mihail Petrovič Fedoruk
W4 – Radna grupa (okrugli sto)“Informacione tehnologije”Profesor Jurij Ivanovič ŠokinProfesor Konstan n Jevgenjevič AfanasjevProfesor Igor Vjačeslavovič Bičkov Profesor Dojčin PetkovićProfesor Vadim Petrovič PotapovProfesor Anatolij Mihajlovič Fedotov
W5 – Radna grupa (okrugli sto)“Sistemi monitoringa životne sredine”Profesor Jurij Ivanovič ŠokinProfesor Igor Vjačeslavovič Bičkov Doktor Nikolaj Nikolajevič DobrecovProfesor Vadim Petrovič PotapovProfesor Dragan RadovanovićProfesor Leonid Borisovič Čubarov
MIT 2009 18
Kopaonik, 27.08 - 31.08.2009 Budva, 31.08. - 05.09.2009.
РАБОЧИЕ ГРУППЫ
W1 – Рабочая группа (круглый стол)«Математика и информатика; современные проблемы»Профессор Юрий Яковлевич БеловПрофессор Дойчин Петкович Профессор Милое Раевич Профессор Владица СтояновичПрофессор Стана ЦвейичПрофессор Владимир Викторович Шайдуров
W2 – Рабочая группа (круглый стол)«Проблемы современного математического образования»Профессор Юрий Иванович ШокинПрофессор Юрий Яковлевич БеловПрофессор Хранислав МилошевичПрофессор Михаил Петрович ФедорукПрофессор Владимир Викторович Шайдуров
W3 – Рабочая группа (круглый стол) «Математическое моделирование»Профессор Владимир Викторович ШайдуровПрофессор Сергей Кузьмич ГолушкоПрофессор Элиезер Кит Профессор Хранислав МилошевичПрофессор Владимир Викторович МосквичевПрофессор Александр Дмитриевич РычковПрофессор Михаил Петрович Федорук
W4 – Рабочая группа (круглый стол)«Информационные технологии»Профессор Юрий Иванович ШокинПрофессор Константин Евгеньевич АфанасьевПрофессор Игорь Вячеславович Бычков Профессор Дойчин ПетковичПрофессор Вадим Петрович ПотаповПрофессор Анатолий Михайлович Федотов
W5 – Рабочая группа (круглый стол)«Системы мониторинга окружающей среды»Профессор Юрий Иванович ШокинПрофессор Игорь Вячеславович Бычков Доктор Николай Николаевич Добрецов Профессор Вадим Петрович ПотаповПрофессор Драган РадовановичПрофессор Леонид Борисович Чубаров
MIT 2009 19
Kopaonik, 27.08 - 31.08.2009 Budva, 31.08. - 05.09.2009.
WORKING GROUPS
W1 – Work group (round table) “Mathema cal and Informa on Sciences, contemporary tendencies”Professor Yurij Yakovlevich BelovProfessor Dojcin PetkovicProfessor Miloje Rajovic Professor Vladica StojanovicProfessor Stana CvejicProfessor Vladimir Victorovich Shaidurov
W2 – Work group (round table)“The problems of contemporary mathema cal educa on”Professor Yuri Ivanovitch ShokinProfessor Yurij Yakovlevich BelovProfessor Hranislav MilosevicProfessor Michail Petrovich FedorukProfessor Vladimir Victorovich Shaidurov
W3 – Work group (round table) “Mathema cal modeling”Professor Vladimir Victorovich ShaidurovProfessor Sergey Kuzmich GolushkoProfessor Eliezer KitProfessor Hranislav MilosevicProfessor Vladimir Victorovich MoskvichevProfessor Alexander Dmitrievich RychkovProfessor Michail Petrovich Fedoruk
W4 – Work group (round table)“Informa on Technology”Professor Yuri Ivanovitch ShokinProfessor Konstan n Evgenievich AfanasievProfessor Igor Vyacheslavovich Bychkov Professor Dojcin PetkovicProfessor Vadim Petrovich PotapovProfessor Anatoilii Michailovich Fedotov
W5 – Work group (round table)“Environmental monitoring systems ”Professor Yuri Ivanovitch ShokinProfessor Igor Vyacheslavovich BychkovDoctor Nikolay Nikolayevich Dobretsov Professor Vadim Petrovich PotapovProfessor Dragan RadovanovicProfessor Leonid Borisovich Chubarov
MIT 2009 20
Kopaonik, 27.08 - 31.08.2009 Budva, 31.08. - 05.09.2009.
Kopa
onik
, Srb
ijaBu
dva,
Crn
a Go
raDan
12
34
56
78
910
Dan
Vrem
e
27av
gust
(čet
vrta
k)
28av
gust
(pet
ak)
29av
gust
(sub
ota)
30av
gust
(ned
elja
)
31av
gust
(pon
edel
jak)
1se
ptem
bar
(uto
rak)
2se
ptem
bar
(sre
da)
3se
ptem
bar
(čet
vrta
k)
4se
ptem
bar
(pet
ak)
5 septembar
(subota)
08:0
0
Dolazak na Kopaonik
Regi
stra
cija
Odlazak sa Kopaonika
Obilazak manastira Gradac i Sopoćani
Odlazak iz Budve
09:0
0O
tvar
anje
Plen
arna
sedn
ica
P3Pl
enar
na se
dnic
a P5
Prezentacija radova T1
Prezentacija radova T2
Prezentacija radova T3
Zasedanje radne grupe
W5
09:3
0Pl
enar
na se
dnic
a P1
11:0
0Pr
ijem
kod
Dek
ana
Kafe
pau
za11
:15
Plen
arna
sedn
ica
P4Pl
enar
na se
dnic
a P6
11:3
0Pl
enar
na se
dnic
aP2
Zatv
aran
je
konf
eren
cije
13:3
0
Registracija na Kopaoniku
Ruča
kRu
čak
14:3
0
Sekcija S1
Sekcija S2
Sekcija S3
Sekcija S1
Sekcija S2
Sekcija S5
Izlet žičarom na Pančićev vrh
Dolazak u Budvu
Zasedanje radne grupe
W2
Zasedanje radne grupe
W3
Zasedanje radne grupe
W4
16:3
0Ka
fe p
auza
Kafe
pau
za
16:4
5
Sekcija S1
Sekcija S2
Sekcija S4
Sekcija S1
Sekcija S2
Sekcija S5
Zasedanje radne grupe
W2
Zasedanje radne grupe
W3
Zasedanje radne grup W4
18:3
0Za
seda
nje
radn
e gr
upe
W1
Zavr
šeta
k ra
da p
o se
kcija
ma
19:0
0Za
vrše
tak
rada
20:3
0Ve
čera
Sveč
ana
veče
ra(b
anke
t)Ve
čera
MIT 2009 21
Kopaonik, 27.08 - 31.08.2009 Budva, 31.08. - 05.09.2009.
Копа
оник
, Сер
бия
Будв
а, Чер
ногори
ядень
12
34
56
78
910
день
врем
я
27ав
густа
(четве
рг)
28ав
густа
(пятни
ца)
29ав
густа
(суб
бота
)
30ав
густа
(воскр
есен
ье)
31ав
густа
(пон
едел
ьник
)
1сентяб
ря(вторн
ик)
2сентяб
ря(сре
да)
3сентяб
ря(четве
рг)
4сентяб
ря(пятни
ца)
5 сентября(суббота)
8-00
Заезд в Копаоник
Регистра
ция
Отъезд из Копаоника
Экскурсия в монастыриГрадац и Сопочаны
Отъезд из Будвы
9-00
Откры
тие
Плен
арно
е заседа
ние
P3
Плен
арно
е заседа
ние
P5
Стендовые доклады T1
Стендовые доклады T2
Стендовые доклады T3
Заседание рабочей группы
W5
9-30
Плен
арно
е заседа
ние
P1
11-0
0Пр
ием
у дек
ана
Пере
рыв
11-1
5Пл
енар
ное заседа
ние
P4
Плен
арно
е заседа
ние
P611
-30
Плен
арно
е заседа
ние
P2За
крытие
конф
ерен
ции
13-3
0
Регистрация в Копаонике
Обе
дОбе
д
14-3
0
Секция S1
Секция S2
Секция S3
Секция S1
Секция S2
Секция S5
Подъем на фуникулере к вершине «Панчичев Врх»
Переезд из в Будву
Заседание рабочей
группы W2
Заседание рабочей
группы W3
Заседание рабочей
группы W4
16-3
0Пе
реры
вПе
реры
в
16-4
5
Секция S1
Секция S2
Секция S4
Секция S1
Секция S2
Секция S5
Заседание рабочей группы
W2
Заседание рабочей группы
W3
Заседание рабочей группы
W4
18-3
0За
седа
ние ра
боче
й груп
пы W
1Око
нчан
ие раб
оты
19-0
0Око
нчан
ие раб
оты
20-3
0Уж
инТорж
ествен
ный уж
инУж
ин
MIT 2009 22
Kopaonik, 27.08 - 31.08.2009 Budva, 31.08. - 05.09.2009.
Kopa
onik
, Ser
bia
Budv
a, M
onte
negr
oDay
12
34
56
78
910
Day
Tim
e
27Au
gust
(Thu
rsda
y)
28Au
gust
(Frid
ay)
29Au
gust
(Sat
urda
y)
30Au
gust
(Sun
day)
31Au
gust
(Mon
day)
1Se
ptem
ber
(Tue
sday
)
2Se
ptem
ber
(Wed
nesd
ay)
3Se
ptem
ber
(Thu
rsda
y)
4Se
ptem
ber
(Frid
ay)
5 September(Saturday)
08:0
0
Arrival of participants
Regi
stra
tion
Departure
Visit monasteries Gradac and Sopocani
Departure
09:0
0Co
nfer
ence
ope
ning
Plen
ary
sess
ion
P3Pl
enar
y se
ssio
n P5
Poster sessionT1
Poster sessionT2
Poster sessionT3
Working groupW5
09:3
0Pl
enar
y se
ssio
n P1
11:0
0W
elco
me
rece
ptio
nCo
ffee
brea
k11
:15
Plen
ary
sess
ion
P4Pl
enar
y se
ssio
n P6
11:3
0Pl
enar
y se
ssio
nP2
Conf
eren
ce
clos
ing
13:3
0
Registration of participants
Lunc
hLu
nch
14:3
0
WorkshopS1
WorkshopS2
WorkshopS3
WorkshopS1
WorkshopS2
WorkshopS5
Tour to the Pancic’s Peak
Arriving Budva
Working group W2
Working groupW3
Working group W4
16:3
0Co
ffee
brea
kCo
ffee
brea
k
16:4
5
WorkshopS1
WorkshopS2
WorkshopS4
WorkshopS1
WorkshopS2
WorkshopS5
Working group W2
Working group W3
Working group W4
18:3
0W
orki
ng g
roup
W1
Endi
ng w
orks
hops
w
ork
19:0
0En
ding
wor
k20
:30
Dinn
erBa
nque
tDi
nner
MIT 2009 23
Kopaonik, 27.08 - 31.08.2009 Budva, 31.08. - 05.09.2009.
Raspored ak vnos po objek ma
1. Registracija učesnika smeštenih u objek ma “Sunčani vrhovi” na recepc-iji hotela “Sunčani vrhovi”,- četvrtak 27.08.2009. od 14:00 do 22:00 sata- petak, 28.08.2009. od 08:00 do 12:00 sa
2. Registracija učesnika smeštenih u hotelu “Grand” na recepciji hotela “Grand”, -četvrtak 27.08.2009. od 14:00 do 22:00 sata
3. Ceremonija otvaranja - sala “Holidej”, hotel “Sunčani vrhovi”4. Sva plenarna zasedanja - sala “Holidej”, hotel “Sunčani vrhovi”5. Zasedanje sekcije S1 - sala “Holidej”, hotel “Sunčani vrhovi”6. Zasedanje sekcije S2 - sala “Malo jezero”, hotel “Sunčani vrhovi”7. Zasedanje sekcije S3 - sala “Prezident”, hotel “Sunčani vrhovi”8. Zasedanje sekcije S4 - sala “Prezident”, hotel “Sunčani vrhovi”9. Zasedanje sekcije S5 - sala “Prezident”, hotel “Sunčani vrhovi”10. Zasedanje Radne grupe W1 - sala “Prezident”, hotel “Sunčani vrhovi”
Места проведения мероприятий Конференции
1. Регистрация участников, проживающих в гостинице “Сунчани Врхови” – холл гостиницы “Сунчани Врхови”,- четверг 27.08.2009: с 14:00 до 22:00,- пятница, 28.08.2009: с 08:00 до 12:00.
2. Регистрация участников, проживающих в гостинице “Гранд” – холл гостиницы “Гранд”- четверг 27.08.2009. С 14:00 до 22:00,
3. Церемония открытия - зал “Холидей” гостиницы “Сунчани Врхови”4. Все пленарные заседания - зал “Холидей” гостиницы “Сунчани
Врхови”5. Заседание секции S1 - зал “Холидей” гостиницы “Сунчани Врхови”6. Заседание секции S2 - зал “Мало езеро” гостиницы “Сунчани
Врхови”7. Заседание секции S3 - зал “Президент” гостиницы “Сунчани Врхови”8. Заседание секции S4 - зал “Президент” гостиницы “Сунчани Врхови”9. Заседание секции S5 - зал “Президент” гостиницы “Сунчани Врхови”10. Заседание Круглого стола W1 - зал “Президент” гостиницы “Сунчани
Врхови”
MIT 2009 24
Kopaonik, 27.08 - 31.08.2009 Budva, 31.08. - 05.09.2009.
Venues
1. Registra on of par cipants, who are living in the hotel “Suncani vrhovi”, at the lobby of the hotel “Suncani vrhovi”,- Thursday 27.08.2009: since 02:00 PM ll 10:00 PM- Friday 28.08.2009: since 08:00 AM ll 12:00 AM
2. Registra on of par cipants, who are living in the hotel “Grand”, at the lobby of the hotel “Grand”,- Thursday 27.08.2009. since 02:00 PM ll 10:00 PM
3. Conference opening - room “Holidej”, hotel “Suncani vrhovi”4. All plenary seccions - room “Holidej”, hotel “Suncani vrhovi”5. Workshop S1 - room “Holidej”, hotel “Suncani vrhovi”6. Workshop S2 - room “Malo jezero”, hotel “Suncani vrhovi”7. Workshop S3 - room “Prezident”, hotel “Suncani vrhovi”8. Workshop S4 - room “Prezident”, hotel “Suncani vrhovi”9. Workshop S5 - room “Prezident”, hotel “Suncani vrhovi”10. Working group W1 - room “Prezident”, hotel “Suncani vrhovi”
MIT 2009 25
Kopaonik, 27.08 - 31.08.2009 Budva, 31.08. - 05.09.2009.
ПЛЕН
АРНЫ
Е ДОКЛ
АДЫ
зал
“Хол
идей
” гостин
ицы
“Су
нчан
и Вр
хови
”Ав
густ
, 28
(ден
ь втор
ой)
Стра
наАв
торы
Докад
чик
Док
лад
9:30
Пред
седа
тели
: Hra
nisl
av M
ilose
vic,
Юри
й Ива
нови
ч Шок
ин
Серб
ияM
ilova
novi
c G.
Milo
vano
vic
Grad
imir
Num
eric
al tr
eatm
ent o
f Fre
dhol
m in
tegr
al
equa
ons
Россия
Гура
рий М
.М., Русаков С.Г.,
Стем
пков
ский
А.Л
., Ульяно
в С.Л.
, Жар
ов М
.М.
Русаков Се
ргей
Григор
ьеви
чВы
числител
ьные аспе
кты
ада
птив
ного
метод
а гарм
онич
еского
бал
анса
в
схем
отехни
ческом
мод
елир
ован
ии11
:00
пере
рыв
11:3
0Пр
едседа
тели
: Gra
dim
ir M
ilova
novi
c, Сер
гей Григор
ьеви
ч Ру
сако
вРо
ссия
Бычков
И.В
.Бы
чков
Игорь
Вя
чеславов
ичИнф
раструктур
а пр
остран
стве
нно-
распре
деле
нных да
нных в зада
чах
упра
влен
ия регио
наль
ным
разви
тием
Россия
Голушко
С.К
., Голушко
К.С
.Голушко
Сер
гей
Кузьмич
О некотор
ых по
стан
овках об
ратных
зада
ч механ
ики ко
мпо
зитных пл
астин и
обол
очек
и метод
ах их ре
шен
ияРо
ссия
Захаро
в Ю
.Н., Зеле
нски
й Е.Е.
, По
тапо
в В.П.
, Счастли
вцев
Е.Л.
, Тол
стых М
.А.
Захаро
в Юри
й Ни
кола
евич
Об од
ной мод
ели по
дзем
ной
газифи
каци
и угля
13:3
0Обе
д
MIT 2009 26
Kopaonik, 27.08 - 31.08.2009 Budva, 31.08. - 05.09.2009.
Август
, 29
(ден
ь третий
)9:
00Пр
едседа
тели
: Mija
jlović
Žark
o, Вла
димир
Вик
торо
вич Шай
дуро
в
Серб
ияM
ijajlo
vić
Ž.M
ijajlo
vić
Žark
oAp
plic
a o
n of
info
rma
on
scie
nce
in d
igi
-za
on
of sc
ien
fi c
and
cultu
ral h
erita
ge
Россия
Шай
дуро
в В.В.
, Ка
репо
ва Е
.Д.
Шай
дуро
в Вл
адим
ир
Виктор
ович
Матем
атич
ески
е аспе
кты
пар
алле
льны
х ре
ализац
ий М
КЭ для
кра
евой
зад
ачи дл
я ур
авне
ний мел
кой во
ды
Россия
Бело
липе
цкий
В.М
., Бе
лоли
пецк
ий П
.В., Гено
ва
С.Н.
, Дегер
мен
джи А.Г.,
Ро
гозин Д
.Ю.
Бело
липе
цкий
Ви
ктор
Михай
лови
ч
Одн
омер
ная мод
ель ве
ртик
альн
ой
структур
ы сол
еного озер
а
11:0
0 пе
реры
в11
:15
Пред
седа
тели
: Elie
zer K
it, Игорь
Вяч
есла
вови
ч Бы
чков
Израи
льBe
isel S
., Ch
ubar
ov L
., Ki
t E.,
Levi
n A.
, Sho
kin
Yu.,
Slad
kevi
-ch
M.
Kit E
lieze
rАн
ализ
возмож
ных во
лн цун
ами у
Израи
льского бе
рега
Сре
диземно
го
мор
яРо
ссия
Смагин
С.И
.См
агин
Сер
гей
Ивано
вич
О числе
нных метод
ах реш
ения
зад
ач
дифр
акци
и в ин
теграл
ьных по
стан
овках
Россия
Фио
нов А.Н.
, Ряб
ко Б
.Я.
Фио
нов Ан
дрей
Ни
кола
евич
Теор
етик
о-ин
форм
ацио
нные метод
ы
решен
ия зад
ач стегано
граф
ииКы
ргызстан
Жай
нако
в А.Ж
.Жай
наков
Аман
бек
Жай
накови
ч
Числен
ный ра
счет
эле
ктри
ческой
дуги
метод
ом устан
овле
ния
13:3
0Обе
д
MIT 2009 27
Kopaonik, 27.08 - 31.08.2009 Budva, 31.08. - 05.09.2009.
Август
, 30
(ден
ь че
твер
тый)
9:00
Пред
седа
тели
: Bož
idar
Rad
enko
vić,
Ана
толи
й Мих
айло
вич Фед
отов
Россия
Фед
отов
А.М
.Фед
отов
Ан
атол
ий
Михай
лови
ч
Проб
лемы
интегра
ции ин
форм
ацио
нных
ресурсов
Россия
Бело
в Ю
.Я., Фро
ленк
ов И
.В.
Бело
в Юри
й Як
овле
вич
Некоторы
е зада
чи иде
нтиф
икац
ии
коэф
фици
ентов па
рабо
лических
ур
авне
ний
Россия
Москвич
ев В
.В.
Москвич
ев
Влад
имир
Ви
ктор
ович
Прик
ладн
ые зада
чи вер
оятностного
риск
-ана
лиза
технич
ески
х систем
11:0
0 пе
реры
в11
:15
Пред
седа
тели
: Dojči
n Pe
tkov
ić, Ю
рий Як
овле
вич Бе
лов
Серб
ияRa
denk
ović
B.
Rade
nkov
iс
Božid
arIn
form
a o
n te
chno
logi
es a
nd re
ligio
n
Серб
ияBa
njan
in M
., M
iladi
nović
D.M
ilora
d Ba
njan
inO
ntol
ogy
Conc
epts
of M
ul a
gent
Sys
tem
sРо
ссия
Афан
асьев К.Е.
, Рей
н Т.С.
, Ка
рабц
ев С
.Н.
Афан
асьев
Константин
Евгень
евич
Числен
ное мод
елир
ован
ие зад
ач
гидр
один
амик
и со
сво
бодн
ыми
гран
ицам
и метод
ом естествен
ных
соседе
й
Россия
, Се
рбия
Рычков
А.Д
., Шок
ин Ю
.И.,
Мил
ошев
ич Х
.Мил
ошев
ич
Хран
исла
вПр
имен
ение
импуль
сной
аэрозол
ьной
систем
ы пож
аротуш
ения
для
бор
ьбы
с
пожар
ами в угол
ьных шахтах
13:3
0Обе
д
MIT 2009 28
Kopaonik, 27.08 - 31.08.2009 Budva, 31.08. - 05.09.2009.
СЕКЦ
ИОНН
ЫЕ ДОКЛ
АДЫ
Стра
наАв
торы
Докад
чик
Док
лад
Август
, 28
(ден
ь втор
ой)
Секц
ия 1
зал
“Хол
идей
” гостин
ицы
“Су
нчан
и Вр
хови
”14
:30
Пред
седа
тели
: Raj
ović
Milo
je, А
лексан
др Лео
нидо
вич Ка
зако
в Се
рбия
Cvej
ic S
., Le
kic
M.,
Dim
itrov
ski D
.Cv
ejic
Sta
naPr
oper
es o
f coe
ffi ci
ents
of a
naly
cal
per
i-od
ic fu
nc o
nsРо
ссия
Лемпе
рт А
.А., Горн
ов
А.Ю
.Ле
мпе
рт Анн
а Ан
аньевн
аАл
гори
тм стохастич
еско
й ап
прок
симац
ии
мно
жества до
стиж
имости
упр
авля
емой
систем
ы на пл
оско
сти
Серб
ияPe
trov
ic I.
, Ste
fano
vic
C.,
Seku
lovi
c N
., Pe
trov
ic M
., St
efan
ovic
M.
Petr
ovic
Ivan
aSe
cond
ord
er st
a s
cs o
f ra
o o
f tw
o ra
n-do
m v
aria
bles
Серб
ияPe
trov
ic I.
, Pet
rovi
c M
., Sp
alev
ic P.
Petr
ovic
Ivan
aSe
cond
ord
er st
a s
cs o
f SC
dive
rsity
syst
em
in th
e pr
esen
ce o
f fad
ing
Серб
ияPe
tkov
ic D
., Ar
andj
elov
ic I.
Petk
ovic
Doj
cin
On
the
conv
erge
nce
of d
iago
nal a
ppro
xim
a- o
nСе
рбия
Milo
vano
vic
G., S
pale
vic
M.,
Paun
ovic
L.
Paun
ovic
Ljil
jana
Erro
r bou
nds o
f Gau
ss-T
uran
-Kro
nrod
qua
d-ra
ture
s with
Gor
i-Mic
chel
li w
eigh
t fun
c o
ns
for a
naly
c fu
nc o
nsГрец
ияLe
on ts
is A.
, Lek
kas E
., Pa
nge
J.Pa
nge
Jenn
yA
simul
a o
n ap
proa
ch o
n Cr
onba
ch’s
alph
a st
a s
cal
sign
ifi ca
nce
16:3
0пе
реры
в
MIT 2009 29
Kopaonik, 27.08 - 31.08.2009 Budva, 31.08. - 05.09.2009.
Август
, 28
(ден
ь втор
ой)
Секц
ия 1
зал
“Хол
идей
” гостин
ицы
“Су
нчан
и Вр
хови
”16
:45
Пред
седа
тели
: Nik
olai
Vas
iliev
ich
Chem
etov
, Сер
гей Ива
нови
ч См
агин
Се
рбия
Rajk
ovic
P.M
., M
arin
kovi
c S.
D. S
tank
ovic
M.S
.Ra
jkov
ic P
redr
agTh
e fra
c o
nal q
-ope
rato
rs a
nd c
orre
spon
d-in
g eq
ua o
nsСе
рбия
Kevk
ić T.
S., P
etko
vić
D.M
.Ke
vkić
Tija
na S
.So
me
anal
y c
al so
lu o
n of
non
linea
r poi
s-so
n eq
ua o
n fo
r inv
ersio
n la
yer o
f mos
st
ruct
ure
Серб
ияVu
jako
vić
J., R
ajov
ić M
.Vu
jako
vić
Jele
na
An id
ea fo
r det
erm
ina
on
of ze
ros l
oca
ons
of
com
plex
diff
eren
al e
qua
ons
Се
рбия
, Макед
ония
Dim
itrov
ski D
., Vu
jako
vic
J.,
Rajo
vic
M.
Vuja
kovi
c Je
lena
On
loca
on
of ze
ros o
f sec
ond
orde
r com
-pl
ex d
iff er
en a
l equ
a o
ns
18:3
0За
верш
ение
раб
оты
Август
, 28
(ден
ь втор
ой)
Секц
ия 2
зал
“Мал
о езер
о” го
стин
ицы
“Су
нчан
и Вр
хови
”14
:30
Пред
седа
тели
: Mic
hael
Sla
dkev
ich,
Васил
ий Васил
ьеви
ч Максимов
Израи
льSl
adke
vich
M.
Slad
kevi
ch M
icha
elN
umer
ical
Sim
ula
ons
of L
ong
Wav
es P
roc-
esse
s at C
oast
al Z
one
Usin
g Sh
allo
w W
a-te
r Mod
el. I
n M
emor
y of
Dr.
A.N
. Mili
teev
(1
943-
2003
)Ро
ссия
Бейзел
ь С.А.
, Худяков
а В.К.
, Чуб
аров
Л.Б
., Шок
ин Ю
.И.
Чуба
ров Ле
онид
Бо
рисови
чМод
елир
ован
ие опо
лзне
вого
механ
изма гене
раци
и во
лн цун
ами у
Сред
изем
номор
ского по
бере
жья
Израи
ля
MIT 2009 30
Kopaonik, 27.08 - 31.08.2009 Budva, 31.08. - 05.09.2009.
Россия
Каре
пова
Е.Д
., Мал
ышев
А.В.
, Шай
дуро
в В.В.
Каре
пова
Евген
ия
Дмитри
евна
Иссле
довани
е эф
фектив
ности па
ралл
е-ль
ных ре
ализац
ий М
КЭ для
кра
евой
зада
чи для
ура
внен
ий мел
кой во
дыРо
ссия
Стар
ченк
о А.
В., Трун
ов
А. А
., Турч
анов
ский
И. Ю
., Шкляев В.А.
Стар
ченк
о Ал
ександ
р Ва
силь
евич
Пара
ллел
ьная
реа
лизаци
я ал
гори
тма
решен
ия зад
ач дин
амик
и пучков
заря
жен
ных частиц
метод
ом “частиц
ы-в
-ячей
ках”
Россия
Khab
akhp
ashe
va T.
I.Ха
бахпаш
ева
Татьян
а Ивано
вна
Entr
y an
d ex
it of
an
elas
c sh
ell o
n a
thin
la
yer o
f the
wat
erРо
ссия
Максимов
В.В
., Ну
днер
И.С
.Максимов
Васил
ий
Василь
евич
Взаи
мод
ействи
е гравитац
ионн
ых во
лн с
частич
но про
ница
емыми пр
егра
дами
16:3
0пе
реры
вАв
густ
, 28
(ден
ь втор
ой)
Секц
ия 2
зал
“Мал
о езер
о” го
стин
ицы
“Су
нчан
и Вр
хови
”16
:45
Пред
седа
тели
: Pre
drag
Raj
ković,
Геор
гий Ал
ексеев
ич Хаб
ахпа
шев
Россия
Архипо
в Д
.Г., В
ерещ
етин
И
.А., Ха
бахпаш
ев Г.А.
Хаба
хпаш
ев
Геор
гий
Алексеев
ич
Неустойч
ивость
лин
ейны
х и не
лине
йных
гравитац
ионн
ых во
лн на гран
ице ра
здел
а дв
ухслой
ного
течени
я Пу
айзеля
Россия
Пере
гуди
н С.И
., Хо
лодо
ва
С.Е.
Холо
дова
Светлан
а Евгень
евна
О ге
остроф
ически
х дв
ижен
иях во
вра
ща-
ющем
ся сфе
рическом
сло
е не
одно
родн
ой
электроп
рово
дной
жид
кости
Россия
Якуб
айли
к Т.В.
, Ко
мпа
ниец
Л.А
.Як
убай
лик Татьян
а Ва
лерь
евна
О некотор
ых ан
алитич
ески
х ре
шен
иях
мод
ели ветров
ого дв
ижен
ия вязко
й не
сжим
аемой
жид
кости
(тре
хмер
ный
случай
)
MIT 2009 31
Kopaonik, 27.08 - 31.08.2009 Budva, 31.08. - 05.09.2009.
Россия
Мар
тюшов
С.Н
.Мар
тюшов
Сер
гей
Никола
евич
Расчет
диф
ракц
ии уда
рной
вол
ны на теле
как тест
на точн
ость
по вр
емен
и явно
го
алгори
тма
Россия
Захаро
в Ю
.Н., Гейд
аров
Н.А.
Захаро
в Юри
й Ни
кола
евич
Устойч
ивость
реш
ения
стаци
онар
ной
зада
чи о
течени
и вязкой
несжим
аемой
жид
кости,
вызван
ной зада
нным
пе
репа
дом
давле
ния
18:3
0За
верш
ение
раб
оты
Август
, 28
(ден
ь втор
ой)
Секц
ия 3
зал
“Пре
зиде
нт” гостин
ицы
“Су
нчан
и Вр
хови
”
14:3
0Пр
едседа
тели
: Vla
dica
Sto
jano
vić,
Сауле
Джум
акан
овна
Маусумбе
кова
Серб
ияO
dalo
vić
M.T.
, Pet
ković
D.M
.O
dalo
vić
Mih
ajlo
T.A
stoc
has
c m
odel
of g
amm
a-ra
y in
duce
d ch
arge
in si
licon
dio
xide
fi lm
s of m
os tr
ansis
-to
rsСе
рбия
Popo
viс
B., S
toja
noviс
V.St
ojan
ovic
Vla
dica
Disc
rete
aut
oreg
ress
ive
mod
el o
f con
di o
nal
dura
on
Серб
ияSt
amen
kovi
c N
., St
ojan
ovic
V.
Stam
enko
vic
Neg
ovan
Sign
al p
roce
ssin
g sim
ula
on
base
d on
the
resid
ue n
umbe
r sys
tem
Серб
ияM
i ć
D.Z.
, Pet
ković
D.M
.Pe
tkov
ic D
ejan
Char
acte
riza
on
of h
eavy
dop
ed se
mic
on-
duct
ors u
sing
anal
y c
al a
ppro
xim
a o
n of
Fe
rmi i
nteg
rals
MIT 2009 32
Kopaonik, 27.08 - 31.08.2009 Budva, 31.08. - 05.09.2009.
Серб
ияPe
trov
ić L
., St
anoj
ević
D.,
Dim
itrije
vić
S.St
anoj
ević
Dra
gana
Sta
s c
al c
ausa
lity,
wea
k so
lu o
ns a
nd m
ar-
nga
le p
robl
ems o
f sto
chas
c d
iff er
en a
l eq
ua o
ns d
riven
with
bro
wni
an m
o o
nСе
рбия
Raic
evic
A.,
Pric
a B.
Raic
evic
And
elija
One
solu
on
for d
iffer
en a
l equ
a o
n fo
r no
n-lin
ear m
ode
PLL
loop
16:3
0 пе
реры
вАв
густ
, 28
(ден
ь втор
ой)
Секц
ия 4
зал
“Пре
зиде
нт” гостин
ицы
“Су
нчан
и Вр
хови
”16
:45
Пред
седа
тели
: Ćem
al D
olič
anin
, Вик
тор Ко
нстантин
ович
Анд
реев
Се
рбия
Petk
ovic
D.,
Petr
ovic
M.
Petr
ovic
Mile
naA
trul
y th
ird o
rder
fi ni
te v
olum
e sc
hem
e on
qu
adril
ater
al m
esh
Россия
Косогоро
в О
.М.,
Макар
ов А
.А.
Макар
ов Антон
Ал
ександ
рови
чSp
line
wav
elet
dec
ompo
si o
n an
d pa
ralle
l co
mpr
essio
nСе
рбия
Rado
savl
jević
D., R
is ć
J.,
Milo
jević
S., M
ilenk
ović
N.
Rado
savl
jević
Drag
ana
MS
Exce
l in
mat
hem
a c
s
Серб
ияBo
žinov
ić M
.Bo
žinov
ić M
ilan
Mat
hem
a c
al m
odel
of m
onop
oly
com
pe -
on
Серб
ияPo
povi
c Z.
, Bog
dano
vic
S.Po
povi
c Za
rko
Mat
hem
a c
al m
odel
ling
of c
apita
l rei
nsur
-an
ceСе
рбия
Min
ic S
.G.,
Vork
apic
M.,
Tana
skov
ic D
.M
iniс
Sin
isaU
sing
LABW
indo
ws p
rogr
ams i
n ac
quisi
on
and
proc
essin
g of
dat
a at
the
mea
sure
men
t re
sista
nt th
erm
omet
erСе
рбия
Bogd
anov
ić Z
., Ra
denk
ović
B.
, Bar
ać D
., De
spot
ović
M.
Rade
nkov
ić B
ozid
arCr
ea n
g ad
ap v
e m
oodl
e-ce
ntric
cou
rses
us
ing
busin
ess i
ntel
ligen
ce
MIT 2009 33
Kopaonik, 27.08 - 31.08.2009 Budva, 31.08. - 05.09.2009.
18:3
0За
верш
ение
раб
оты
Август
, 29
(ден
ь третий
)Се
кция
1зал
“Хол
идей
” гостин
ицы
“Су
нчан
и Вр
хови
”14
:30
Пред
седа
тели
: Dojči
n Pe
tkov
ić, Н
аргозы
Тур
сынб
аеви
ч Дан
аев
Черн
огор
ияPa
viće
vić
Z.Pa
viće
vić
Žark
oHy
perb
olic
geo
met
ry, c
urvi
linea
r ang
les a
nd
poin
ts o
f por
osity
in in
ves
ga
on
of b
ound
-ar
y pr
oper
es o
f fun
c o
nsСе
рбия
Man
dak
A.M
anda
k Al
ijaO
n co
nstr
uc o
n w
eigh
ted
proj
ec v
e pl
ane
of o
rder
4 a
nd (2
, 4 –
1)-q
uasig
roup
Серб
ияLj
ajko
E.,
Pavl
ičić
Z.
Ljaj
ko E
ugen
Geog
ebra
and
hig
h sc
hool
ana
ly c
geo
met
ry
inst
ruc
on
Серб
ияRa
denk
ović
N.
Rade
nkov
ić N
ataš
aDa
ta w
areh
ouse
solu
ons
for C
RM16
-30
пере
рыв
Август
, 29
(ден
ь третий
)Се
кция
1зал
“Хол
идей
” гостин
ицы
“Су
нчан
и Вр
хови
”16
:45
Пред
седа
тели
: Milo
rad
Banj
anin
, Аман
бек Жай
нако
вич Жай
нако
вБо
сния
и
Герц
егов
ина
Piku
la M
., Vl
adič
ić V
.Vl
adič
ić V
ladi
mir
Abou
t str
uctu
res o
n th
e se
t of t
riang
les
Черн
огор
ияM
eštr
ović
R.,
Paviće
vić
Z.M
eštr
ović
Rom
eoTo
polo
gies
on
the
Priv
alov
spac
es w
ith a
p-pl
ica
ons
in th
e th
eory
of B
anac
h al
gebr
asСе
рбия
Gajic
L.
Gajic
Ljil
jana
A fi x
ed p
oint
theo
rem
for m
appi
ngs w
ith a
co
ncra
c v
e ite
rate
at a
poi
nt o
n D*
-met
ric
spac
es
MIT 2009 34
Kopaonik, 27.08 - 31.08.2009 Budva, 31.08. - 05.09.2009.
Кыргызстан
Жай
нако
в А.Ж
., Аш
ирба
ев Б
.Ы.
Жай
наков Ам
анбе
к Жай
накови
чАн
алитич
еско
е ко
нструи
ровани
е ли
нейн
ого ре
гуля
тора
по сингуляр
ным
во
змущ
ения
мБо
сния
и
Герц
егов
ина
Vuko
vic
M.
Vuko
vic
Mirj
ana
Kras
ner’s
and
Vuk
ović
’s Pa
ragr
adua
ons
Серб
ияSt
evan
ovic
M.R
.St
evan
ovic
Milo
rad
Spen
ce b
ira o
nal t
rans
form
a o
n in
serie
s18
:30
Заве
ршен
ие раб
оты
Август
, 29
(ден
ь третий
)Се
кция
2зал
“Мал
о езер
о” го
стин
ицы
“Су
нчан
и Вр
хови
”14
:30
Пред
седа
тели
: Hra
nisl
av M
ilose
vic,
Але
ксан
др Васил
ьеви
ч Стар
ченк
оСе
рбия
Milo
šević
H.M
iloše
vić
Hran
islav
Appl
ica
on
of lo
w-te
mpe
ratu
re p
lasm
a in
st
eel-m
akin
g co
nver
ters
Россия
Казаков А.Л.
Казаков Ал
ександ
р Ле
онид
ович
Прим
енен
ие обо
бщен
ной зада
чи Кош
и дл
я оп
исан
ия сло
жны
х течени
й газа
с
удар
ными во
лнам
иРо
ссия
Стар
ченк
о А.В.
, Бар
т А.А
., Бе
лико
в Д
.А.,
Дан
илки
н Е.А.
Стар
ченк
о Ал
ександ
р Ва
силь
евич
Мезом
асштабн
ые мод
ели вы
соко
го
разреш
ения
для
иссле
довани
я качества
атмосфе
рного во
здуха в горо
дах
Серб
ияPe
trov
ic V
. V.
Petr
ovic
Ver
aKi
ne c
s of s
inte
ring
with
mat
hem
a c
al
theo
ry o
f Gro
pjan
ovРо
ссия
Амел
ина Е.В.
, Голушко
С.К
., Юрч
енко
А.В
.
Юрч
енко
Анд
рей
Василь
евич
Вычи
слител
ьные аспе
кты
мод
елир
ован
ия
и ан
ализа по
веде
ния ко
мпо
зитных
пластин и об
олоч
ек
MIT 2009 35
Kopaonik, 27.08 - 31.08.2009 Budva, 31.08. - 05.09.2009.
Россия
Гавр
илов
А.А
., Дектере
в А.А.
Гавр
илов
Анд
рей
Анатол
ьеви
чЧи
слен
ное мод
елир
ован
ие
нестац
иона
рного кави
таци
онно
го те
чени
я пр
и об
текани
и гидр
окры
ла16
:30
пере
рыв
Август
, 29
(ден
ь третий
)Се
кция
2зал
“Мал
о езер
о” го
стин
ицы
“Су
нчан
и Вр
хови
”16
:45
Пред
седа
тели
: Nat
han
Blau
nste
in, Л
еони
д Бо
рисови
ч Чу
баро
вРо
ссия
Андр
еев В.К.
Андр
еев Ви
ктор
Ко
нстантин
ович
Дви
жен
ие двух тепл
опро
водн
ых
жид
костей
в цил
индр
ическо
й труб
еИзраи
льBl
auns
tein
N.
Blau
nste
in N
atha
nM
odel
ing
of R
adio
Pro
paga
on
in th
e La
nd-
Sate
llite
Lin
k th
roug
h th
e St
orm
me
Iono
-sp
here
Серб
ияDo
lican
in C
., N
ikol
ic V
., Ra
dojk
ovic
M.
Nik
olic
Ver
aM
athe
ma
cal
mod
els a
nd a
pplic
a o
n of
nu-
mer
ical
met
hods
in so
lvin
g a
phen
omen
on
of th
e th
eory
of t
hin
plat
esРо
ссия
Фед
отов
а З.И
., Ха
кимзяно
в Г.С
.Фед
отов
а Зи
наид
а Ивано
вна
Нели
нейн
о-ди
спер
сион
ные ур
авне
ния
мел
кой во
ды на вр
ащаю
щей
ся сфе
ре.
Казахстан
Маусумбе
кова
С.Д
., На
йман
ова А.Ж
.Маусумбе
кова
Са
уле
Джум
акан
овна
Числен
ное мод
елир
ован
ие обтекан
ия
сжим
аемым
поток
ом двух тел,
ра
спол
ожен
ных танд
емом
Россия
Садо
вская О
.В.,
Садо
вски
й В.М
.Са
довская Оксан
а Ви
ктор
овна
Числен
ное мод
елир
ован
ие про
цессов
ра
спро
стра
нени
я во
лн в
упр
угоп
ла-
стич
ески
х и сы
пучи
х сред
ах на мно
гопр
о-це
ссор
ных вы
числител
ьных систем
ах
MIT 2009 36
Kopaonik, 27.08 - 31.08.2009 Budva, 31.08. - 05.09.2009.
Россия
Люба
шев
ская
И.В
., Ба
нщик
ова И
.А.
Люба
шев
ская
Ири
на Васил
ьевн
аДеф
ормир
ован
ие пла
стин
из спла
вов с
разными свой
ствами на
растяжен
ие и
сж
атие
при
пол
зучести
18:3
0За
верш
ение
раб
оты
Август
, 29
(ден
ь третий
)Се
кция
5зал
“Пре
зиде
нт” гостин
ицы
“Су
нчан
и Вр
хови
”14
:30
Пред
седа
тели
: Dam
njan
Rad
osav
ljević,
Мих
аил Пе
тров
ич Фед
орук
Ро
ссия
Шок
ин Ю
.И., Фед
орук
М
.П., Чу
баро
в Д
.Л.,
Юрч
енко
А.В
.
Фед
орук
Михаи
л Пе
тров
ичОб ор
гани
заци
и де
ятел
ьности
ре
сурсны
х це
нтро
в ра
спре
деле
нной
ин
форм
ацио
нно-вы
числител
ьной
сре
дыСе
рбия
Milo
savl
jevi
c S.
, Tra
jkov
ic S
.M
ilosa
vlje
vic
Srdj
an
M-c
omm
erce
i sa
vrem
ene
tele
kom
unik
a-ci
one
tehn
olog
ijeРо
ссия
Лямин
а В.А.
, Зол
ьник
ов
И.Д
., Ко
ролю
к А.Ю
., Доб
рецо
в Н.Н.
, См
олен
цев Б.А.
, Глуш
кова
Н.В
.
Доб
рецо
в Ни
кола
й Ни
кола
евич
Картогра
фиро
вани
е и мон
итор
инг
гетеро
генн
ых ла
ндшаф
тов метод
ами ГИ
С и ДЗ
Россия
Мар
тысеви
ч У.В.
, Бо
лдыре
в И
.И.,
Доб
рецо
в Н.Н.
Доб
рецо
в Ни
кола
й Ни
кола
евич
Метод
ики ко
ррекци
и и пр
едвари
тель
ной
обра
ботки мультиспе
ктра
льны
х да
нных
для мод
елир
ован
ия ге
ологич
ески
х и
ланд
шаф
тных об
стан
овок
Россия
Якуб
айли
к О
.Э.
Якуб
айли
к Оле
г Эд
уард
ович
Геои
нфор
мац
ионн
ая Интер
нет-систем
а мон
итор
инга
состоян
ия окр
ужаю
щей
пр
ирод
ной сред
ы в
зон
е де
йствия
пр
едпр
иятий не
фтегазов
ой отрасли
MIT 2009 37
Kopaonik, 27.08 - 31.08.2009 Budva, 31.08. - 05.09.2009.
Россия
Массель
Л.В
.Массель
Людм
ила
Василь
евна
Интегра
ция ра
спре
деле
нных
инфо
рмац
ионн
ых ре
сурсов
для
исслед
ован
ий эне
ргетик
иСе
рбия
Rado
savl
jević
D., T
rajk
ovic
S.
, Ral
evic
P., P
anic
S.
Rado
savl
jević
Dam
njan
Info
rma
on
syst
em o
f stu
dent
serv
ices
don
e in
pro
gram
s C++
16:3
0 пе
реры
вАв
густ
, 29
(ден
ь третий
)Се
кция
5зал
“Пре
зиде
нт” гостин
ицы
“Су
нчан
и Вр
хови
”16
:45
Пред
седа
тели
: Dra
gan
Rado
vano
vić,
Ник
олай
Ник
олае
вич Доб
рецо
вСе
рбия
Valja
revi
c A.
, Rad
ovan
ović
D.
, Biro
vlje
v N
.Va
ljare
vic
Ale-
ksan
dar
Appl
ica
on
of G
eogr
aphi
cal i
nfor
ma
on
syst
em o
n th
e m
aps
Россия
Пчел
ьник
ов Д
.В.,
Доб
рецо
в Н.Н.
, Сла
дких
Л.А.
Доб
рецо
в Ни
кола
й Ни
кола
евич
Постро
ение
системы
про
гнозир
ован
ия
урож
айно
сти на
основ
е об
ъектно
-ор
иентир
ован
ной ар
хитектур
ы систем
мон
итор
инга
Россия
Решетни
кова
Г.Н.
Решетни
кова
Гали
на Ник
олае
вна
След
ящие
системы
ада
птив
ного
упра
влен
ия эко
номич
ески
ми пр
оцессами
Серб
ияBa
njan
in M
., Dr
akul
ić G
.M
ilora
d Ba
njan
inIn
tero
pera
bilit
y of
info
rma
on-
com
mun
ica-
on
and
spa
al i
nfor
ma
on
infra
stru
ctur
eРо
ссия
Рогале
в А.Н.
Рогале
в Ал
ексей
Никола
евич
Иссле
довани
е бе
зопа
сности
сло
жны
х систем
и оце
нки об
ластей
доп
устимых
отклон
ений
Серб
ияRa
dosa
vlje
vić
D., T
rajk
ovic
S.
, Pre
drag
R.,
Petr
ovic
S.
Rado
savl
jević
Dam
njan
Crea
ng
WEB
app
lica
ons
usin
g Fr
ontP
age
and
Acce
ss18
:30
Заве
ршен
ие раб
оты
MIT 2009 38
Kopaonik, 27.08 - 31.08.2009 Budva, 31.08. - 05.09.2009.
СТЕН
ДОВЫ
Е ДОКЛ
АДЫ
Стра
наАв
торы
Докад
чик
Док
лад
Сентяб
рь, 1
(ден
ь шестой)
Пред
седа
тели
: Вла
димир
Вик
торо
вич Шай
дуро
в, Ю
рий Ни
кола
евич
Захар
ов
Россия
Вары
гина
М.П
., Са
довски
й В.М
.Са
довски
й Вл
адим
ир
Михай
лови
ч
Пара
ллел
ьные вы
числен
ия в
зад
ачах
дин
амик
и мом
ентного ко
нтин
уума Ко
ссер
а
Россия
Захаро
в Ю
.Н., Гейд
аров
Н.А.
Захаро
в Юри
й Ни
кола
евич
О гр
адие
нтно
м расшир
ении
метод
а по
след
овател
ьной
вер
хней
рел
аксаци
и (S
OR)
ре
шен
ия систем
лин
ейны
х и не
лине
йных
алгебр
аических
ура
внен
ийРо
ссия
Мад
жар
а Т.И
.Мад
жар
а Тара
с Игоре
вич
Адап
тивн
ая те
хнол
огия
реш
ения
зада
ч оп
тимал
ьного
упра
влен
ия с
вычи
слител
ьными особ
енно
стям
иРо
ссия
Захаро
в Ю
.Н., Ивано
в К.С.
Захаро
в Юри
й Ни
кола
евич
Числен
ное ре
шен
ие тр
ехмер
ных не
стац
иона
рных
уравне
ний На
вье-Сток
са в
пер
емен
ных
«вихрь
- ве
ктор
ный по
тенц
иал»
Россия
Бекежан
ова В.Б.
Бекежан
ова
Виктор
ия Бахытовн
аНе
устойч
ивость
стаци
онар
ного
двухсло
йного
течени
я жид
кости пр
и на
личи
и пр
одол
ьного
град
иента темпе
ратуры
Казахстан
Даи
рбаева
Г.Даи
рбае
ва
Гуль
лазата
Град
иентны
е метод
ы реш
ения
некор
ректно
й зада
чи
Коши
MIT 2009 39
Kopaonik, 27.08 - 31.08.2009 Budva, 31.08. - 05.09.2009.
Сентяб
рь, 2
(ден
ь седь
мой
)Пр
едседа
тели
: Вик
тор Мих
айло
вич Бе
лоли
пецк
ий, С
ергей Ку
зьмич
Голу
шко
Россия
Банщ
иков
а И
.А.
Банщ
иков
а Инн
а Ан
атол
ьевн
аМод
елир
ован
ие ани
зотроп
ной по
лзучести
с
испо
льзовани
ем те
ории
Хил
лаРо
ссия
Архипо
в Д
.Г.,
Хаба
хпаш
ев Г.А.
, Ли
твин
енко
А.А
., Са
фаро
ва Н
.С.
Хаба
хпаш
ев Ге
оргий
Алексеев
ичСр
авне
ние чи
слен
ных ре
шен
ий по ра
злич
ным
мод
елям
для
нел
иней
ных пл
анар
ных во
лн на
своб
одно
й по
верхно
сти не
глуб
оких
жид
костей
Казахстан
Камал
ова Г.А
., Ра
мазан
ова Г.И
.Ка
мал
ова Гаухар
Аб
думутал
ипов
наЧи
слен
ное мод
елир
ован
ие взаим
одей
стви
я твер
дых
частиц
с га
зовы
м поток
омРо
ссия
Шай
дуро
в В.В.
, Щеп
анов
ская
Г.И
.Вл
адим
ир
Виктор
ович
Шай
дуро
в
Вычи
слител
ьный экспер
имен
т сфе
рически-
симметри
чного мод
елир
ован
ия гл
убин
ной
геод
инам
ики
MIT 2009 40
Kopaonik, 27.08 - 31.08.2009 Budva, 31.08. - 05.09.2009.
Сентяб
рь, 3
(ден
ь во
сьмой
)Пр
едседа
тели
: Гульн
ар Тултаев
на Бал
акае
ва, И
горь
Вяч
есла
вови
ч Бы
чков
Россия
Шок
ин Ю
.И., Кл
имен
ко О
.А.,
Рычков
а Е.В.
Рычков
а Ел
ена
Влад
имир
овна
Рейтин
г сай
тов на
учны
х ор
гани
заци
й Ре
спубли
ки Сер
бия
Россия
Коба
лински
й М
.В., Си
бгатулин
В.Г.,
Сим
онов
К.В
., Пе
ретоки
н С.А.
, Худоб
ерди
н И
.Р.,
Красно
рамен
ская
Т.Г.
Коба
лински
й Михаи
л Ви
ктор
ович
Инф
ормац
ионн
о-вы
числител
ьная
технол
огия
для
оце
нки
геод
инам
ически
х ри
сков
Россия
Черн
яков
а Н.А.
Черн
яков
а На
таль
я Ал
ександ
ровн
аИспол
ьзов
ание
метод
а Мон
те-Кар
ло в
оце
нках
на
дежно
сти элем
ентов ко
нструкци
йРо
ссия
Москвич
ева Л.Ф.
, Бур
ов А
.Е.,
Богуль
ская
Н.А
.Москвич
ева
Людм
ила
Фед
оров
на
Мод
ульн
ый магистерски
й курс
«Си
стем
ы
автоматизир
ован
ного
про
ектиро
вани
я и ин
жен
ерно
го
анал
иза»
Россия
Решетни
ков М
.Т.
Решетни
ков
Михаи
л Тере
нтьеви
ч
Матем
атик
а и ин
форм
ацио
нные технол
огии
в российски
х об
разователь
ных стан
дартах
Россия
Шар
апов
Р.В
., Шар
апов
а Е.В.
Шар
апов
Русла
н Вл
адим
иров
ичОпр
едел
ение
ссы
лочн
ого спам
а на
основ
е ан
ализа
контен
таРо
ссия
Шигар
ов А
.О.
Шигар
ов Але
ксей
Оле
гови
чСи
стем
а автоматизац
ии извле
чени
я табл
ично
й ин
форм
ации
из электрон
ных до
кумен
тов ра
зных
форм
атов
MIT 2009 41
Kopaonik, 27.08 - 31.08.2009 Budva, 31.08. - 05.09.2009.
Raspored sala
Šematski prikaz sala
Sala “Holidej” Sala “Prezident” Sala “Malo jezero”
MIT 2009 42
Kopaonik, 27.08 - 31.08.2009 Budva, 31.08. - 05.09.2009.
Местоположение залов
Схемы залов
Зал “Холидей” Зал “Президент” Зал “Мало езеро”
MIT 2009 43
Kopaonik, 27.08 - 31.08.2009 Budva, 31.08. - 05.09.2009.
Conference rooms posi on
Conference rooms scheme
Room “Holidej” Room “Prezident” Room “Malo jezero”
MIT 2009 44
Kopaonik, 27.08 - 31.08.2009 Budva, 31.08. - 05.09.2009.
A
MIT 2009 45
Kopaonik, 27.08 - 31.08.2009 Budva, 31.08. - 05.09.2009.
Afanasiev K.E., Kemerovo State University, KemerovoRein T.S., Kemerovo State University, KemerovoKarabtcev S.N., Kemerovo State University, Kemerovo
Numerical simula on hydrodynamics problems with free boundaries by natural element methodOne of the most complex for numerical simula on classes of hydrodynam-ics problems is the problems with the free boundaries accompanying with strong - nonlinear deforma on of fl uid fl ow. Essen al drawback of classical numerical mesh methods, such as boundary element method, fi nite element and fi nite diff erence methods, is impossibility to con nue computa on a er changing of coherency of calcula on area. For example, breaking wave can be calculated ll the moment of contact of a crest of a wave with its sole, further spend calcula on begins impossible by virtue of change coherency of calcula on area and pping over boundaries. The given methods are suit-able only for modelling an ini al stage of the physical phenomenon. Complex research of such phenomena needs development of numerical methods, not cri cal to the specifi ed complexi es of calcula on.With development of condi onally meshfree numerical methods, such as Meshfree Finite Element Method (MFEM) [1] and Natural Element Method (NEM) [2], became possible to modelling of the processes concerned with breaking waves in an incompressible fl uid fl ow. In the present work interac- on of a soliton wave with a rectangular body, located at the bo om, is solved
by modifi ed Natural Element Method.Variable parameters of a problem are the amplitude of a wave, width and height of a body. The behaviour of a wave in the last before breaking the moments of me is essen ally nonlinear, that complicates numerical modelling this phenomenon. From the lead series of calcula ons infl uence of whirlwinds is established, formed near to a body, on amplitudes of the past and refl ected waves.In the present work modifi ca on of NEM - the Generalized Natural Element Method (GNEM) [3] is submi ed, which allows to receive decisions of prob-lems of dynamics of viscous fl uid fl ows with free boundaries and also to cal-culate hydrodynamical characteris cs of modelled physical process. The dam breaking problem is solved by GNEM and comparison of the received results with experimental data is presented. The me analysis of hydrodynamical loadings on ver cal walls of area for various values of height of a fl uid layer at the basis is carried out.Crea on of eff ec ve realiza ons of numerical algorithms represents doubt-less interest and the big prac cal value. Use of these methods allows to ex-pand a class of decided problems and to receive new results.REFERENCES1.Idelsohn, S., O~nate E., Calvo, N., Del Pin, F. The meshless fi nite element method Interna onal Journal for Numerical Methods in Engineering, 2003. – Vol. 58, № 4.2.Sukumar, N., Moran, B., Belytchko, T. The natural element method in solid mechan-ics, Interna onal journal of numerical methods in engineering, 1998. – Vol. 43, №5. – Р. 839–887.3.Афанасьев, К.Е. Моделирование задач гидродинамики вязкой несжимаемой жидкости со свободными границами бессеточным методом естественных соседей, К.Е. Афанасьев, Т.С. Рейн, Вычислительные технологии. - 2008. – Т. 13, №4. – С. 7-24.
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Amelina E.V., ICT SB RAS, NovosibirskGolushko S.K., ICT SB RAS, NovosibirskYurchenko A.V., ICT SB RAS, Novosibirsk
The aspects of numerical methods implementa on when modeling and analyzing the behavior of composite plates and shellsWe are considering the problems of numerical modeling and the behavior analysis of composite plates and shells. Thus problems are especially brightly shown in case we use nonclassical improved theories of plates and shells in a combina on with structural models of a composite material. One of the peculiari es of corresponding boundary-value problems is the presence of rapidly changing components in their decisions and strong boundary eff ects. Because of that the use of tradi onal numerical schemes and algorithms becomes impossible.The off ered approach to the solving of two-dimensional boundary-value problems of theories of plates and shells is in the reducing of the dimension of a problem. It is reached by represen ng the components of the solu on in the form of fi nite trigonometrical series. The order of a system of ordinary diff eren al equa ons of the fi nal one-dimensional problem is generally propor onal to the number of kept harmonics in the series expansion of required func ons. Though there are parameters of the ini al problem of the stressed-deformed state of composite plates and shells determina on at which the fi nal one-dimensional boundary value problem can be spli ed into several independent sub-problems with the smaller order of the system of equa ons.To solve the aroused one-dimensional boundary-value problems two methods are used: the method of discrete orthogonalisa on, realized by authors in so ware package GMDO, and the method of spline-colloca on, realized in so ware package COLSYS. The applica on of two essen ally diff erent numerical methods allows us to raise the reliability of received results. Wide researches of possibili es and peculiari es of using of the method of discrete orthogonalisa on use for solving ill-condi oned boundary-value problems of mechanics of composite plates and shells are conducted. The algorithms of an automa c choice of a grid step and a distribu on of orthogonalisa on nodes are developed to provide stable calcula on process.The applica on of off ered techniques is demonstrated on the solu on of problems of determina on and analysis of the stressed-deformed state of the round mul layered reinforced plates with the round central or displaced aperture. The ques on of necessary number of harmonics kept in series is inves gated. The comparison of effi ciency of numerical algorithms is carried out. Besides, the infl uence of a choice of used variants of the theory of plates and shells, models of a composite material on results of calcula ons, structural parameters of a composite material and geometrical parameters of plates on their stressed-deformed state is inves gated. In that specifi c case, at isotropic layers and the central aperture, analy cal solu ons are received and used to inves gate accuracy of applied numerical algorithms.
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Andreev V.K., ICM SB RAS, Krasnoyarsk
The mo on of two heat condac ng liquids in a cylindrical pipe
We shall consider the joint non-sta onary mo on of two immiscible viscous heat conduc ng liquids with an common interface in a cylindrical pipe. Sup-pose, that the densi es, the kinema c viscosi es and the thermal diff usivi es of the liquids are posi ve constants. We also assume that there no external mass forces ac ng on the liquids. Under these assump ons, the equa ons of con nuity, momentum and energy in the cylindrical coordinates admit the specifi c one-parameters subgroup of transforma ons. The invariant solu on corresponding to this subgroup can be interpreted as follows. Suppose that on the cylindrical interface between liquids the surface tension linearity de-pends on the temperature. Ini ally, the liquids are at rest and occupy the cylindrical domains, respec vely. At the ini al me the temperature fi elds which are linearity depend on coordinate along pipe, instantly created in the whole domains. The thermocapillary eff ect and non-sta onary pressure gradients induce the mo on of liquids. In this mo on, the interface remains cylindrical surface and the trajectories are straight lines parallel to the axes of pipe. The liquid layer near rigid wall of pipe may be interpreted as a lubri-cant. The required veloci es and temperatures can be called as the perturba- ons of the quiescent state of liquids. Subs tu ng the invariant expressions
of the veloci es and temperatures in the governing equa ons and taking into account the condi ons on the interface, we obtain the three conjugate ini- al boundary value problems for unknowns. These problems can be solved
successively.
Arkhipov D. G., Kutateladze Ins tute of Thermophysics SB RAS, NovosibirskKhabakhpashev G.A., Kutateladze Ins tute of Thermophysics SB RAS, NovosibirskVeresche n I.A. Kutateladze Ins tute of Thermophysics SB RAS, Novosibirsk
Instability of linear and nonlinear gravity waves on an interface of the two layered Poiseuille fl ow
The stability of the two layered Poiseuille fl ow in a plane horizontal chan-nel is considered. The problem in the linear order is reduced to a pair of Orr – Sommerfeld equa ons with homogeneous boundary condi ons on the interface, lid and bo om of the channel. As is well known there are many modes of disturbances with diff erent phase velocity. Although the linear sta-bility problem of two superposed immiscible viscous liquids was detailed re-searched [1] no special a en on was paid to gravity mode. However interac-
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on of such waves with the fl ow is interes ng. Due to numerical s ff ness of Orr – Sommerfeld equa on we used special algorithms such as compound matrix method [2] and Abramov’s method [3]. As a result we received the de-pendences of phase velocity and amplifi ca on factor of disturbances on the wave number for diff erent fl ow speed. It is shown that long gravity waves can be unstable. Moreover under some circumstances the gravity mode is only one long unstable wave. The reason of this instability is the fl ow velocity joint on the interface. In the case when the viscous eff ects are strong (α Re << 1, where α is the wave number and Re is the Reynolds number) it corresponds to well known interface instability [4]. Also profi les of velocity disturbances were calculated. Based on the velocity profi les received from linear analysis the nonlinear evolu on equa on for the interface disturbance of two lay-ered fl ow was obtained like it was done in the paper [5]. Coeffi cients in the equa on are presented as integrals on layers from func on depended from fl ow and disturbance profi les. Notable that coeffi cient at dissipa ve member changes the sign in the region of linear instability. This fact corresponds to energy pumping from basic fl ow to the fl ow disturbances. References:[1] Yiantsios S.G. Linear stability of plane Poiseuille fl ow of two superposed fl uids. Phys. Fluids. 1988. V.31. No 11. P. 3225-3238.[2] Zheltuhin N.A. Compound matrix method for solving Orr – Sommerfeld equa on. Aerogazodinamika: Collected ar cles of 1 Siberian aerodynamic conference. 1973. P.70-73[3] Goldsh k M.A., Shtern V.N. Hydrodynamic stability and turbulence. Novosibirsk: Nauka, 1977. P.33-39.[4] Yih C.S. Instability due to viscous stra fi ca on. J. Fluid Mech. 1967. V.27 P.337-353.[5] Arkhipov D.G., Khabakhpashev G.A. Evolu on of long nonlinear waves on the interface of a stra fi ed viscous fl uid fl ow in a channel, Journal of Applied Mechanics and Technical Physics, 2007. V.48 No 4. P.508-518.
Arkhipov D.G., Kutateladze Ins tute of Thermophysics SB RAS, NovosibirskKhabakhpashev G.A., Kutateladze Ins tute of Thermophysics SB RAS, NovosibirskLitvinenko A.A., Kutateladze Ins tute of Thermophysics SB RAS, NovosibirskSafarova N.S., Kutateladze Ins tute of Thermophysics SB RAS, Novosibirsk
Comparison of numerical solu ons by diff erent models for nonlinear planar waves on a free surface of shallow liquidsAt the recent decades much a en on of researchers has been a racted to essen ally three-dimensional fi nite-amplitude disturbances (for instance,
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books [1–3]). However, most models (e.g., papers [4–6]) are applicable only to nonlinear waves propaga ng chiefl y in one direc on. Only in these cas-es the problem is reduced to one equa on for the perturba on of the free surface. For this reason, fi nite-amplitude waves travelling simultaneously in diff erent direc ons can be described only by systems of equa ons incorpo-ra ng both the disturbance of the free boundary and the fl uid velocity. In the systems proposed earlier (for example, [7–9]), even the linear terms of all equa ons involve terms depending on the fl uid velocity. The new com-bined system of equa ons, which is more well-behaved was proposed in the paper [10]. There are assumed that liquid is incompressible, its sta onary fl ow is absent, the disturbance amplitudes are small but fi nite, characteris c horizontal lengths of waves and of the bo om topography are larger and the thickness of unsteady viscous boundary layer is smaller than the fl uid depth, and fi nally, capillary eff ects are moderate. The ini al system of the Stokes equa ons and of the con nuity equa on for the shallow water above a gen-tly sloping bo om was reduced to one basic nonlinear evolu on equa on for spa al perturba ons of the free surface and two linear auxiliary diff eren al equa ons for a determina on of the horizontal velocity vector averaged over the layer depth which is contained in the main equa on only in one term of the second order of smallness. The suggested model is suitable for fi nite-amplitude waves running on any angles. Even in the case of inviscid liquids this approach is in essence easier than known systems of equa ons, where all equa ons contain both linear and nonlinear items (e.g., [7–9]). Some so-lu ons of our model equa ons were found numerically. The calcula ons ac-cording to the model [6] were performed with the help of the implicit three-layer diff erence scheme, which is described in detail in the paper [11]. This scheme has the second order of approxima on in all variables. The results of several numerical experiments for a transforma on of ini ally plane mod-erately long nonlinear waves were adduced in the paper [11] too. A dynam-ics of the three-dimensional disturbance which is solitary in the space were demonstrated in the paper [12]. The calcula ons according to the model [10] were carried out in the following way. At the step “predicator” the calcula- ons were made with the help of the simplest replacement for the velocity
vector. At the step “corrector” the velocity vector was determined using the simple linear auxiliary equa ons. Poisson’s equa on for a determina on of the velocity vector was resolved by the method of the fast Fourier transfor-ma on by both horizontal coordinates on the each step of me. Formally the evolu on equa on of the model [6] allows to study a collision of two plane waves running towards each other. But it is shown that at the point of me of their maximal interac on the calcula on error may be equals 10 % approxi-mately. A comparison of the numerical results for three-dimensional solitary in the space perturba ons of small but fi nite amplitude was carried out too. Some test solu ons were found in the pools with diff erent topographies. As it should be not only the changing of the wave veloci es but also the inten-sifi ca on of disturbances moving towards the lower liquid depth and other-
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wise their weakening when the waves are moving to the deeper area were observed. It is seen, that the addi onal peaks and troughs took place over the bo om irregulari es. References:1. Marchuk An. G., Chubarov L. B., Shokin Yu. I. Numerical Simula on of Tsunami Waves. Los-Alamos: LA–TR–85, 1985.2. Frank A. M. Discrete Models of Incompressible Liquid. Moscow: Fizmatlit, 2001.3. Khakimzyanov G. S., Shokin Yu. I., Barakhnin V. B., Shokina N. Yu. Numerical Simula- on of Currents with Surface Waves. Novosibirsk: Publishing House of SB RAS, 2001.
4. Kim K.Y., Reid R.O., Whitaker R.E. On an open radia onal boundary condi on for weakly dispersive tsunami waves. J. Comput. Phys. 1988. V. 76, no. 2. P. 327–348.5. Pelinovsky D. E., Stepanyants Yu. A.: Solitary wave instability in the posi ve-disper-sion media described by the two-dimensional Boussinesq equa ons. J. Exper. Theor. Phys. 1994. V. 79, no. 7. P. 105–112.6. Khabakhpashev G.A.: Nonlinear Evolu on Equa on for Suffi ciently Long Two-Di-mensional Waves on the Free Surface of a Viscous Liquid Comput. Technol. 1997. V. 2, no. 2. P. 94–101.7. Peregrine D. H. Long waves on a beach. J. Fluid Mech. 1967. V. 27, no. 4. P. 815–827.8. Karpman V. I. Nonlinear Waves in Dispersive Media. N.Y. – Oxford: Pergamon Press, 1975.9. Green A. E., Naghdi P. M. A Deriva on of equa ons for wave propaga- on in water of variable depth J. Fluid Mech. 1976. V. 78, no. 2. P. 237–246.
10. Arkhipov D. G., Khabakhpashev G. A. New approach to the descrip on of spa al nonlinear waves in dispersive media. Doklady Physics. 2006. V. 51, no. 8. P. 418–422.11. Litvinenko A. A., Khabakhpashev G. A. Numerical simula on of suffi ciently long nonlinear two-dimensional waves on water in pools with a gently sloping bo om. Comput. Technol. 1999. V. 4, no. 3. P. 95–105.12. Litvinenko A. A., Safarova N. S., Khabakhpashev G. A. Numerical simula on of es-sen ally three-dimensional nonlinear disturbances of a free surface of shallow ponds with gently sloping bo om. In Abstracts of the IХ All-Russian Conf. «State-of-the-art Methods of Mathema cal Simula on of Natural and Man-made Disasters». Bar-naul: Altay State University, 2007. P. 65.
Banjanin M., Faculty of Philosophy, PaleMiladinovic D., Faculty of Technical Science, Novi Sad
Ontology Concepts of Mul agent Systems
Defi ning ontology for the MAS will be realized by the fundamental specifi ca- on collabora ons and rela ons that exist between the par cipants in the SC
and the set of rules (or axioms) that restrict the seman cs of the concepts and rela ons in ontology. The development and presenta on of the MAS on-tology are based on the union of concepts presented as 4S: [Streams, Struc-
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tures, Scenarios, Socie es], where for each “S” there is a concept and rela on in which they take part. The general meaning of the MAS ontology can be presented as an arranged set =(Ontol_Concepts, Ontol_Rels) [3], in which Ontol_Concepts represent a family of ontology concepts, and Ontol_Rels a family of rela ons between the concepts. This work focuses on ontologies for mul agent systems that are now increas-ingly used in modelling the distributed and autonomous characteris cs of diff erent en es involved in logis c fl ows. Knowledge and informa on on logis c fl ows originate from diff erent par cipants, so effi cient communica- on and inter-exchange of informa on between agents should be based on
ontologies. Ontologies have the role of seman c knowledge organiza on and as such they simplify sharing and reuse of knowledge between the par ci-pants in supply chain. In that way it is possible to increase responsibility and effi ciency of logis c processes, whereas an applica on of ontology on all en- es in supply chain enables the effi cient increase in materials, fi nance and
informa on fl ow management in diff erent phases of supply chain.
Banjanin M., Faculty of Philosophy, PaleDrakulic G., Faculty of Technical Science, Novi Sad
Interoperability of informa on-communica on and spa al informa on infrastructureThe rela vely newer idea in projects of European Union is about informa- on-communica on (IC) and spa al informa on infrastructures interop-
erability. This work is focused on specifi ci es of transporta on markets in the designing of the new and op miza on of exis ng por olio of services through „3-eff “ integra on of the technical, human, fi nance and IC resources in the diff erent space domains. Effi cient IC infrastructure of transporta on may be achieved only through the applica on of authen c registers (or „key registers”) for warehousing cri cal data which are interoperable in the wider geographic space and accessible for the coopera on, coordina on and col-labora on by the mul ple usages of diff erent users.Spa al informa on and informa on-communica on infrastructure for transport services The com-plex approach to the analysis of spa al informa on infrastructure (SII) and informa on-communica on infrastructure (ICI) in transport industry enables the reinforcement of transport service realisa on processes, namely the aug-menta on of their quality and level of user desires sa sfac on. Simultane-ously, this work represents an important resource for the design of transport
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resource administra on domain model and establishing the transforma on direc ons of SII and ICI roles in the modern transport service providers’ busi-ness. That ques on is diff erent from the design of general networks and pri-mary algorithmic improvements in eff ec veness and effi ciency of transport processes.
Banshchikova I.A., Lavrentyev Ins tute of Hydrodynamics SB RAS, Novosibirsk
Modeling anisotropic creep by using Hill’s theory
At the problems solving of the shaping thin-sheet details made of modern construc onal alloys and forecas ng of their further successful it is necessary to take into account features of strain-strength behaviour of a material. The proper es of anisotropy on direc ons (along, across, on a normal to a plate) and diff erent resistance to a tension and compression, hardening and so -ening at creep have the majority of sheet materials that make mathema -cal simula on of process of shaping very diffi cult. Anisotropic creep model equivalent to Hill’s model for anisotropic plas city was tested on the prob-lems of a stretching of cubic samples by using of fi nite-element program AN-SYS. Factors of anisotropy have been determined in view of possible weaker deforma on of sheet details on a normal to a sheet and under a corner 45. «The coeffi cient of anisotropy» on a normal to a sheet k was defi ned by av-eraging of the rela on of the size change on thickness of a sheet (i.e. in a direc on of a normal to a sheet) to the size change on width of a fl at sample at various degrees of axial deforma on from experiments on a stretching. In case of the shaping plane panels at creep with surfaces of complex contour special interest for tes ng is represented by problems of a bending of the square plate, which realize experimentally. Calcula on by a method of fi nite-elements in three-dimensional statement, and also analy cal es ma ons and numerical calcula on in one-dimensional statement for problems of a bending of a plate in a cylindrical surface and for problems of a torsions of a plate in a sign-variable saddle surface tes fy to essen al infl uence of anisot-ropy on a normal to a sheet and about insignifi cant infl uence of anisotropy under a corner 45 in comparison with calcula on in isotropic statement.
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Beisel S., Ins tute of Computa on Technologies SB RAS, NovosibirskChubarov L., Ins tute of Computa on Technologies SB RAS, NovosibirskKit E., Faculty of Engineering, Tel-AvivLevin A., Coastal and Marine Engineering Ins tute Ltd, HaifaShokin Yu., Ins tute of Computa on Technologies SB RAS, NovosibirskSladkevich M. , Coastal and Marine Engineering Ins tute Ltd, Haifa
Анализ возможных волн цунами у Израильского берега Средиземно-го моряВ рамках совместного Российско-Израильского проекта рассмотрены возможные источники волн цунами в Средиземном море, которые мо-гут проявиться у израильского берега. С этой целью проанализированы исторические сведения о цунами в рассматриваемом регионе. В рамках модели мелкой воды проведено предварительное численное модели-рование распространения волны цунами от источников, расположенных в разных регионах Средиземного моря (Сицилия, Эгейское море, южное побережье острова Крит, Кипр и районы в непосредственной близости к израильскому морскому шельфу). В качестве источников цунами были рассмотрены как тектонические механизмы, связанные с землетрясе-нием, так и подводные оползни на израильском шельфе. В результате анализа имеющихся данных и предварительного моделирования было получено, что заметные значения высот волн цунами могут быть полу-чены от источников, расположенных на израильском шельфе, а также от источников, расположенных на юге от Кипра. Даже большие волны, источники которых расположены в районе Сицилии и в Эгейском море слабо проявляются у израильского берега. В качестве примера, приво-дятся результаты моделирования и натурная запись Греческого цунами 9 июля 1956 года. При этом событии в районе источника высота волны достигала около 30 м, а у израильского берега (Яфо) высота волны со-ставила только около 20 см, что было зафиксировано мареографом и по-лучено нашим моделированием.
Beisel S., Ins tute of Computa on Technologies SB RAS, NovosibirskChubarov L., Ins tute of Computa on Technologies SB RAS, NovosibirskKhudyakova V., Novosibirsk Federal University, NovosibirskShokin Yu., Ins tute of Computa on Technologies SB RAS, Novosibirsk
Modeling of landslide mechanism of tsunami wave genera on near the Mediterranean coast of Israel
Настоящая работа посвящена исследованию влияния особенностей реального рельефа дна на характеристики волнового режима, порож-даемого движением подводного оползня. Используя в качестве моде-
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ли оползня простейшее представление в виде твердого тела, авторы рассматривают различные типы движения, отличающиеся способами учета геометрических свойств рельефа подстилающей поверхности. По-становка задач для вычислительных экспериментов учитывает особен-ности рельефа дна акваторий, прилегающих к средиземноморскому по-бережью Израиля, а также соответствующие геодинамические условия. Авторами предложена иерархия модельных акваторий, позволяющая исследовать влияние различных эффектов на процесс волнообразова-ния. Для моделирования волновых процессов в работе используются различные приближения теории мелкой воды (линейное, нелинейное и нелинейно-дисперсионное). По результатам вычислительных экспе-риментов определены базовые неизменные характеристики волновых процессов и параметры, зависящие от особенностей законов движения оползня. Обсуждаются вопросы важности учета нелинейных и диспер-сионных эффектов на различных стадиях развития исследуемых процес-сов. Анализ полученных в ходе исследования результатов показал, что в случае сильной неоднородности распределения угла наклона подсти-лающей поверхности вдоль трассы движения оползня, что, в частности, имеет место у Средиземноморского побережья Израиля, учет этого угла может существенно изменить амплитуды волн, генерируемых движени-ем оползня типа «слайд». Эффект нелинейности естественно проявляет-ся на мелководье, определяя характерные особенности отраженной от берега и распространяющейся в мористом направлении волны. Диспер-сия оказывает свое влияние в области средних глубин, в том числе и на параметры волн, возникающих при остановке оползня, а также на глубо-ководье. Это влияние проявляется в уменьшении абсолютных значений порождаемых волн понижения и в образовании характерного цуга дис-пергирующих волн.
Bekezhanova V.B., Ins tute of computa onal modelling SB RAS, Krasnoyarsk
Instability of sta onary two-layer fl uid fl ow with longitudinal gradient of temperature
Many applica ons challenge scien sts with the problem of common mo on of two liquid media contac ng along some surface and stability of such mo- on. Side by side with free convec on mechanism the cause of these mo- ons is thermocapillary eff ect. In the present work we consider plane sta on-
ary fl ow of two immiscible incompressible viscous heat-conduc ng liquids with common interface. Having assumed that the surface tension coeffi cient
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linearly depends on temperature we inves gate stability of the system on inclined plane with longitudinal temperature gradient. There is change of in-stability mechanisms when the system incline is varied. We have only mono-tonic disturbances when system has horizontal orienta on. If there is any horizontal devia on the structure of spectrum is changed and oscillatory dis-turbances is appeared.
Belolipetskii V.M., Ins tute of Compu ng Modeling SB RAS, KrasnoyarskBelolipetskii P.V., Siberian Federal University, KrasnoyarskGenova S.N., Siberian Federal University, KrasnoyarskDegermendszhi A.G., Siberian Federal University, KrasnoyarskRogozin D.Yu., Siberian Federal University, Krasnoyarsk
One dimensional model of ver cal structure of salt lake (on example of Shira Lake)Ver cal density stra fi ca on has a decisive infl uence on the spa al and tem-poral distribu on of chemical components and the ecology of planktonic or-ganisms in deep lakes. In the water column of stra fi ed water bodies are forming ecologically signifi cant ver cal gradients of temperature, light, oxy-gen, salinity, redox poten al, nutrients and other components of the eco-system. There are diff erent ecological niches of planktonic microorganisms along gradients of physical and chemical characteris cs. This leads to the forma on of stable heterogeneous ver cal distribu on of various species of bacteria, phytoplankton and zooplankton. The aim of this work was to create a one-dimensional ver cal model describing the annual dynamics of ver cal structure of a saline lake including processes of forma on and mel ng of ice. Mathema cal models [1, 2] are used for inves ga on of ver cal structure of a reservoir. Modifi ca on of the model [1] for the determina on of the ver -cal distribu on of hydrobiological and hydrochemical characteris cs under the ice during winter was done. A er defi ni on of the thickness of convec ve mixing layer we solve one-dimensional transport and diff usion equa ons. We take into account se ling for the heavy components. We use special pa-rameteriza on of coeffi cient of ver cal exchange: in the layer of convec ve mixing coeffi cient is taken suffi ciently large, and below this layer is equal to the minimum value.We inves gated seasonal regimes of ver cal structure of Lake Shira with the help of developed computer models and fi eld data. We showed that the thickness of the convec ve mixing under ice signifi cantly depends on the meteorological data in the autumn. The diff erent ver cal dis-tribu on in diff erent years were explained by diff erences of meteorological condi ons.Important elements of the ver cal hydrophysical structure of the saline lake are thermocline, halocline and pycnocline. There are the great-
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est changes in the ver cal temperature, salinity and water density in these layers. These layers separate a water with homogeneous characteris cs. Ac-cording to fi eld data depths of thermocline, pycnocline and halocline are the same for lake Shira. They depend on meteorological data and the period of the year. It follows from the fi eld data that a redox zone (boundary between oxygen or hydrogen sulfi de) in lake Shira coincides with pycnocline for the autumn and winter seasons. Pycnocline depth calculated by hydrophysical model is in good agreement with fi eld data. In summer and spring redox zone is signifi cantly lower than pycnocline. In the zone of transi on from the aero-bic layers of the water column to the anaerobic (redox zone) it is generally observed increased ac vity of plankton communi es. The depth of the redox zone is an essen al feature of stra fi ed reservoir.References:1. Belolipetskii VM, Genova SN Numerical simula on of the annual dynamics of the ver cal structure of the Salt Lake //Computa onal Technologies. 2008. T.9. № 4. PP. 34-43.2. Degermendzhy, A.G., V.M. Belolipetsky, T.A. Zo na, R.D. Gula . (2002) Aqua c Ecology. 2002, v. 36, № 2. PP. 271-297.
Belov Yu.Ya., Siberian Federal University, KrasnoyarskFrolenkov I.V., Siberian Federal University, Krasnoyarsk
An iden fi ca on problems of the coeffi cients of the parabolic equa onsIn the report iden fi ca on problems of unknown coeffi cients for the two-dimensional and mul dimensional parabolic equa ons in case of given Cau-chy data are considered. The local existence theorem and the theorem of uniqueness of the solu on for a iden fi ca on problem of two coeffi cients in classes of the smooth limited func ons for the mul dimensional semilinear parabolic equa on with non-linearity of enough general view are proved. The case of the unknown factors standing at a nonlinear member and func on of a source, and a two-dimensional case of the unknown factors standing at a deriva ve on me and a nonlinear member is considered. The existence and uniqueness of the solu on are proved and es ma ons of stability by the ini al data for solu on of iden fi ca on problems of coeffi cients at lower terms in the parabolic equa on are obtained. The mul dimensional inverse problems for the parabolic equa on with the ellip c operator in the right part which coeffi cients depend on all spa al variables and have a special ap-pearance in the case of enough smooth ini al data are considered. For the proof of existence of the solu on the weak approxima on method is used. This method is a spli ng method of the equa on at the diff eren al level, and was named so by N.N. Yanenko.
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Blaunstein N., Ben-Gurion University of the Negev, Beer-Sheva
Modeling of Radio Propaga on in the Land-Satellite Link through the Stor-m me Ionosphere
This paper presents the intensity and phase fl uctua ons dependence on the degree of ionospheric plasma perturba ons occur during magne c storm based on experiments by GPS monitoring of the ionosphere. During this nat-ural phenomenon, anomalous absorp on caused by decrease of the total electronic content, and fast fading of GPS radio signals caused by genera- on of plasma small-scale irregulari es are observed experimentally. In order
to present the eff ect of sca ering caused by plasma irregulari es generated during magne c storm, 2-D phase-screen model is introduced. A sa sfacto-ry explana on of fading phenomena observed experimentally is presented based on the corresponding theore cal framework. It was found that during magne c storm, when experimentally observed devia ons of plasma density in the perturbed ionosphere can be changed at 10%-20%, the corresponding small-scale and moderate-scale plasma density irregulari es in the storm- me F region yield strong fast fading of VHF/UHF radio signals with suffi cient
signal intensity fl uctua ons (up to 10%) and phase fl uctua ons (up to hun-dreds radians), which fi nally can signifi cantly decrease the spectral effi ciency, capacity and signal data rate in mul path land-satellite communica on link with fading passing through the perturbed ionosphere.
Bogdanovic Z., Faculty of organiza onal sciences, BelgradeRadenkovic B., Faculty of organiza onal sciences, BelgradeBarac D., Faculty of organiza onal sciences, BelgradeDespotovic M., Faculty of organiza onal sciences, BelgradeCrea ng adap ve moodle-centric courses using business intelligence
This paper describes a method for crea ng adap ve Moodle courses based on learning styles using business intelligence techniques and tools. Building an eff ec ve e-learning framework depends on fi nding adequate means for discovering users’ interests, preferences, mo va on and needs. Data mining and its techniques are discussed as the most appropriate and sophis cated tools for swi ly determining students’ learning styles and classifi ca on into groups. Each group a ended an adapted Moodle course. The evalua on of the system showed that students achieved be er results with higher level of sa sfac on when a ending courses adapted to learning styles. An experi-ment was conducted within the distance educa on system of Laboratory for E-Business, Faculty of Organiza onal Sciences in Belgrade.
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Bozinovic M., Faculty of Economics, Kosovska Mitrovica
Mathema cal model of monopoly compe onEssence of monopoly compe on consists in the way that, off er and demand are being specifi ed by only one compe tor on the market. In this case, there is no chance of increasing numbers of bidders and goods which is off ered on the market, could’t have an own replacement. Considering this new condi- ons, market price is result of off er and demand opera ng law. Therefore, if
consumers want to pay an actual price, shopping power will be shown up as limited factor for price increasing.
Bychkov I.V., IDSTU SB RAS, IrkutskGachenko A.S., IDSTU SB RAS, IrkutskRuzhnikov G.M., IDSTU SB RAS, IrkutskFereferov E.S., IDSTU SB RAS, IrkutskKhmelnov A.E., IDSTU SB RAS, IrkutskContemporary informa on technologies: applica on in regional andmunicipal projectsSolving priority problems of regional socio-economic development and eleva- on of effi ciency of ac vity of the regional and municipal authori es (RMAs)
necessitates development of a fl exible system of informa on-analy cal sup-port, which is grounded on a set of problem-oriented databases character-ized by diverse formats [1]. Such an objec ve shall employ all the known contemporary informa on technologies.The systems to be developed shall allow the user to conduct modeling socio-economic processes, execute mul variant simula on and goal-oriented com-puta ons intended for es ma ng the development of the territory, analyze the infl uence of macroeconomic indicators on the situa on in the region.In this connec on, the technologies allowing one to automate the process of elabora on of complex informa on-analy cal systems, which would aid to increase the level of substan a on and validity of decisions made by RMAs, are of defi nite interest.Within the frames of the priority direc on of fundamental research conduct-ed by Siberian Branch of RAS “Basic and Technological Problems of Informa- on, Telecommunica on and Computa onal Systems”, ISDCT has developed
(i) methods for development of corpora ve systems intended to provide support of making management decisions, (ii) contemporary informa on technologies intended for intelligent forma on and selec on of decisions, processing spa ally distributed data and mul dimensional analysis of the data (OLAP), (iii) geoinforma on technologies, what has allowed to conduct development of research and applied projects at a qualita vely higher level.
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Cvejic S., Faculty of science and mathema cs, Kosovska MItrovicaLekic M., Faculty of science and mathema cs, Kosovska MItrovicaDimitrovski D., Faculty of science and mathema cs, Skopje
Proper es of coeffi cients of analy cal periodic func ons
If func on f (x) is analy cal, then it can be presented by convergent ex-ponen al sequence which, due to its convergence (d’Alember’s crite-rium), can be diff eren ated and integrated, member by member and as a rule it has Taylor’s coeffi cients. However, in this work we have de-termined the proper es of coeffi cient sequence when func on is ana-ly cal, but also periodic with period . We have also shown that for the periodic func on the coeffi cient sequence has the following form
!)(
!)2(
!)( )()()(
kn
kka
kkk
k
In this way we have obtained infi nite number of Taylor’s formulae which are valid near the points 0, 2 ,…,n .
Dairbayeva G. , Al-Farabi Kazakh Na onal University, Almaty
Gradient methods of solving Ill-Posed Cauchy problem
Let be a bounded simply connected domain in R = {(x,y)} with a con nu-ous piece-smooth boundary = . Let be divided into two connected parts ,21
21 .Consider the following problem
(x,y)u ,0 , (1)
1),( , ),(1
yxyxfu , (2)
.01
nu (3)
The problem (1)-(3) is ill-posed according to Hadamard. The solu on is unique, but it is not stable with respect to a small perturba ons of the func- on f. In this connec on we use the solu ons of the stable boundary prob-
lems for the same diff eren al equa on (1) instead of solving the ill-posed problem (1)-(3). Such idea was proposed by Kabanikhin S.I. and Karchevskiy A. L. [1], and developed in [2].
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As a well-posed problem for (1)-(3), for instance, the Neumann problem for the ini al Laplace equa on in the domain may be used, which requires knowledge of boundary values of a normal deriva ve of the solu on on the whole boundary. Though according to the condi on (3), we are only given boundary condi ons on a part of the boundary. That is why it is necessary to associate boundary values of the ini al func on f with the boundary values of the normal deriva ve of the solu on on the addi onal part of the bound-ary that is quite a dis nct problem.Researching proper es of the operator connec ng f with the above men- oned boundary values of the normal deriva ve of the solu on and its con-
jugate operator, allows to use varia onal method to look for an approximate solu on of the ini al problem (1)-(3}.Analogous approach for other problems may be found in [2].In this paper jus fi ca on of the use of the conjugate gradient method is given for solving the problem (1)-(.3) and its convergence.References:1. Kabanikhin S.I., Karchevskiy A.L. Op miza onal method for solving the Cauchy
problem for an ellip c equa on// J. Inv. III - Posed Problems. 1995. Vol. 3, N 1. P. 21-46.
2. Kabanikhin S.I. Inverse and ill-Posed Problems. Novosibirsk: The Siberian scien fi c publishing house, 2008.
Dimitrovski D., Faculty of Science and Mathema cs, SkopjeVujakovic J., Faculty of Science and Mathema cs, Kosovska MitrovicaRajovic M. ., Faculty of Science and Mathema cs, Kosovska Mitrovica
ON LOCATION OF ZEROS OF SECOND ORDER COMPLEX DIFFERENTIAL EQUATIONS (Comparison of R. Nevanlinna’s method of assessment of solu ons number with classical theorem on loca on of Sturm’s zeros of real diff eren al equa ons)
For second order real diff eren al equa on 0 yxAy 1
in, so called, period of Sturm, form 1806 to 1826, the fi rst qualita ve theorems on numbers of zero solu ons xy in dependence of xA and ba, posi ve interval where 0xA , have been established. At that me the concept of itera on were not known enough (it has been strictly introduced in 1860.), so at that me the loca on of zeros could not be precisely determined,
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according to Sturm. Later, the appearance of group theory on diff eren al equa on enabled an exact approach to loca on of zero oscilla on. However, this has not been the best solu on since the oscilla ons are the fundamental natural phenomena related to the Newton’s law, while the method based on group theory was too diffi cult for such an elementary issue. So, the problem of loca on of zeros, and of courses the number of zeros, remain unsolved un l the me and forthcoming wave of new mathema cs did not push this issue at the corner of mathema cal science.Recently, we are going back to the problem of zeros of Sturm’s equa on (1), and naturally we are looking for analogy to Sturm’s zeros of real diff eren al equa on (1), if we are observing the complex diff eren al equa on of oscilla on
2
20d w A z w
d z
2
which is corresponding to 1 only for , 0z x i y x y . Of course that 2does not have to be an equa on of some oscilla on (that is certain only for
, 0z x i y y and 0xA ), and (2) is also called complex diff eren al equa on of oscilla ons. Due to historical con nuity the equa on (2) can have several possibili es of solu on varie es. This paper will show various ways of bringing down the equa on (2) to the system of second order par al equa ons, and than to one simple diff eren al equa on of order IV that further could be brought down to the two simple second order equa on of Sturm, given by (1).
Therefore, the ques on is rela on between two milestones in the qualita ve theory of diff eren al equa ons:
Sturm’s theorem on the number of zeros Nevanlinna’s theorem on assessment of growth and rang.
Dolicanin C., State University of Novi Pazar, Novi PazarNikolic V., State University of Novi Pazar, Novi PazarRadojkovic M., State University of Novi Pazar, Novi Pazar
Mathema cal models and applica on of numerical methods in solving a phenomenon of the theory of thin plates
The term thin plate implied a elas c body with cylindrical or prisma c shape of small thicknes in rela on to other two dimensions. The basic dependences between geometrical and physical proper es come to mostly to se ng up
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of rela ons between stress and strain condi ons, which has been described by diff eren al equa ons, simple and par al. Methods used for solving of es-tablished equa ons, with respect of outline and ini al condi ons, may be classifi ed in analy cal and numerical. In case of complex and big construc- on systems subjected to the arbitrary loads, including a complex boundary
condi on s, solving of diff eren al equa ons by analy cal methods is almost impossible. Then the solu on is applica on of numerical methods. One of the basic numerical methods is Finite Diff erence Method (FDM) based on replacing of diff eren al equa ons with corresponding diff erence equa ons. Using of this method, the problem come to solving of system of paired alge-braic equa ons, making the problem more easier for solving. In this paper, besides FDM, is also used Finite Element Method (FEM) for considera on of this phenomenon in fl at isotropic fi eld, respec vely at thin plates with dif-ferent boundary condi ons and loadings. In the end, more comments and farther direc ons of inves ga ons are given.
Fedotov A.M., NSU, Novosibirsk
Informa on resource interga on problems
The given report to development of the technology buildings of the distrib-uted integrable systems of the processing, keeping and issues informa on resource on base opened specifi ca on of the models data.The model of “virtual environment for interchange of the results of scien fi c researches” would be discussed – the enterprise or regional informa on system, which integrates the systems for scien fi c research and organiz-ing ac vity. Its dis nc ve feature are: complex support of scien fi c ac vity, orienta on at various categories of users such as graduates, researchers, managers, secretaries, etc.The researches that generalize applying of introduced technology for us-ing at regional-scaled applica ons was done. Func oning to intellectual informa onal systems in terms of informa cs was described, the needs for informa on of scien fi c society explored.Technological approach for exchanging catalogized data and integra ng informa onal systems was tested while crea ng new and modifying exist-ing systems for storing and exchanging bibliographical records. Another important result is crea ng of unifi ed informa onal space for researching in environmental science.Models, procedures and interfaces of registra on the poli cian of the con-trol of access in a control system of access to the distributed informa on
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resources (CSADIR) are developed. Comple on created before prototype CSADIR for research of model of the distributed management by access is in addi on spent. Thus, condi ons for transi on to performance of a follow-ing stage of works under the project pre-produc on opera on of the test monitoring system of access to resources and the analysis of this opera on will be which primary goal are created.
Fedotova Z.I., ICT SB RAS, NovosibirskKhakimzyanov G.S., ICT SB RAS, Novosibirsk
The nonlinear dispersive equa ons of shallow water on a rota ng sphere
In the paper the nonlinear dispersive equa ons of a shallow water on a rotat-ing sphere are derived. The received equa ons are completely nonlinear. The opportunity of a moveable bo om surface is taken into account. The new model will be useful to the descrip on of long waves (tsunami) over vast la -tudinal and longitudinal direc ons of water areas during long me.
Fionov A., Siberian State University of Telecommunica ons and Informa cs, NovosibirskRyabko B., Siberian State University of Telecommunica ons and Informa cs, Novosibirsk
Informa on-Theore c Methods for Solving Steganography Problem
Сегодня в сфере защиты информации велик интерес к проблемам сте-ганографии, т.е. (говоря упрощённо) методам внедрения скрытой ин-формации в файлы, и стегоанализу, т.е. методам выявления скрытой информации. Оба эти направления развиваются параллельно и взаим-но обогащают друг друга. Несмотря на достигнутый прогресс, всё еще остаётся большое поле для исследований как путей повышения стойко-сти стегосистем, так и увеличения разрешающей способности методов стегоанализа. В настоящем докладе представлены результаты, получен-ные авторами в течение нескольких последних лет совместно с их аспи-рантами и магистрантами на основе применения идей и методов теории информации, прежде всего, универсального кодирования источников. Ранее эти идеи с успехом были применены для построения просто реа-лизуемых идеальных шифров, а также для криптоанализа генераторов псевдослучайных последовательностей и блоковых шифров, см. [1].
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Рассмотрим вначале суть теоретико-информационного подхода к зада-чам стеганографии. В одной из первых работ в этой области [2] было вве-дено понятие совершенной стегосистемы, т.е. такой системы внедрения данных, для которой в принципе не возможно создать алгоритм выявле-ния факта наличия скрытой информации. При построении совершенной стегосистемы контейнер рассматривается как сообщение, порождён-ное вероятностным источником, а (зашифрованные) данные, которые необходимо внедрить – как последовательность равновероятных и не-зависимых нулей и единиц. Необходимо так внедрить данные, чтобы вероятностная структура контейнера осталась той же самой. Тогда за-полненный контейнер становится сообщением того же источника, что и пустой, поэтому невозможно сказать, присутствует скрытая информация или нет. Впервые конструкция совершенной стегосистемы для источни-ков конечной памяти с неизвестной статистикой была предложена в [3]. Эта конструкция основывается на идеях нумерационного кодирования и в простейшем случае может быть пояснена следующим примером. Рас-смотрим источник без памяти над алфавитом {a,b}. Допустим, источник породил сообщение aaba. Мы не знаем вероятности появления этого сообщения, однако с уверенностью можем сказать, что она та же самая, что и для сообщений baaa, abaa и aaab, т.к. они содержат одинаковое число букв a и b. Все эти четыре сообщения принадлежат одному клас-су эквивалентности – классу равновероятных сообщений для данного источника. Теперь мы можем скрыть два бита информации, используя отображение 00 → aaab, 01 → aaba, 10 → abaa, 11 → baaa. Как видим, скрываемая информация – это просто номер в лексикографически упо-рядоченном множестве равновероятных сообщений. Таким образом, чтобы скрыть информацию, нужно решить задачу денумерации для за-данного сообщения и типа источника. Извлечение скрытой информации выполняется путём определения номера сообщения, т.е. решения зада-чи нумерации. Авторами построены эффективные методы нумерации и денумерации для широкого класса источников, включая марковские источники произвольного порядка.Не все контейнеры, используемые в практической стеганографии, на-пример, цифровые фотографии, можно точно описать некоторым слу-чайным процессом. Однако построение приближённой вероятностной модели этих контейнеров часто оказывается полезным. Такая вероят-ностная модель (явная или неявная) строится, например, при сжатии графических файлов. Мы предлагаем использовать вероятностные мо-дели для решения задач стеганографии. В этом случае внедряемое со-общение перекодируется таким образом, чтобы кодовые символы под-чинялись тем же распределениям вероятностей, что и заменяемые ими символы в контейнере. Быстрые методы кодирования, обеспечивающие в точности заданные вероятности появления кодовых символов, пред-
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ложены в [4]. Иногда целесообразно использовать методы, приближён-но решающие эту задачу, например, арифметическое декодирование. Нами построен алгоритм внедрения информации в растровые изобра-жения, учитывающий статистику младших бит цветовых составляющих в некотором окружающем контексте. Экспериментальные исследова-ния алгоритма показали его заметное преимущество в стойкости по от-ношению к известным аналогам: увеличение стойкости на 15–40 % на случайной выборке файлов и на 95 % на «удобных» файлах (с плавными переходами цветов) по отношению к известным программам HIDE4PGP и STEGOTOOLS.Применение идей теории информации для решения задач стегоанали-за основывается на теоретическом фундаменте, построенном в [5, 6]. В этих работах было показано, как можно использовать методы универ-сального кодирования для эффективного решения многих задач мате-матической статистики. Для стегоанализа графических файлов, в част-ности, важно уметь решать задачу выявления степени статистической зависимости младших бит цветовых составляющих или частотных коэф-фициентов от остальной информации в файле. Дело в том, что при вне-дрении информации эта статистическая связь искажается или теряется вовсе. Наиболее успешная практическая реализация этих идей была выполнена при построении системы стегоанализа BMP-файлов [7], а за-тем и JPEG-файлов. Основная идея состоит в сравнении степеней сжатия полученного файла и этого же файла с различным уровнем внедрения в него случайных данных. Если разность степеней сжатия превышает некоторый порог, делается вывод о наличии в полученном файле скры-той информации. В результате экспериментальных исследований на выборке из 1000 файлов было установлено, что ошибка первого рода (пустой контейнер принимается как заполненный) не превосходит 1 %. При уровне внедрения информации 40 % и выше ошибка второго рода (заполненный контейнер признаётся пустым) не превосходит 2 %. Со-вокупность этих показателей лучше, чем у известных методов, таких как STEGDETECT.Литература1. Рябко Б. Я., Фионов А. Н. Криптографические методы защиты информации. М.: Горячая линия-Телеком, 2005. 229 с.2. Cachin С. An informa on-theore c model of steganography // Lecture Notes in Computer Science (Proc. 2nd Informa on Hiding Workshop). Springer Verlag, 1998. V. 1525. P. 306–318.3. Ryabko B., Ryabko D. Informa on-theore c approach to steganographic systems // IEEE Inter-na onal Symposium on Informa on Theory. Nice, France, 2007. P. 2461–2464.4. Fionov A., Ryabko B. Simple ideal steganographic systems for containers with known sta s cs // XI Interna onal Symposium on Problems of Redundancy. St.-Petersburg, July 2–6, 2007. P. 184–188.5. Ryabko B., Astola J. Universal codes as a basis for me series tes ng // Sta s cal
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Methodology. 2006. V. 3. P. 375–397.6. Ryabko B, Astola J. Universal codes as a basis for nonparametric tes ng of serial independence for me series // Journal of Sta s cal Planning and Inference. 2006. V. 136, N. 12. P. 4119–4128.7. Zhilkin M., Melentsova N., Ryabko B. Data compression based method of reveal-ing hidden in-forma on in steganographic systems // XI Interna onal Symposium on Problems of Redun-dancy. St.-Petersburg, July 2–6, 2007. P. 42–44.
Gajic Lj., University of Novi Sad, Novi Sad
A fi xed point theorem for mappings with a concrac ve iterate at a point on D*-metric spaces
The concept of D* -metric space introduced by S. Sedghi et al. seems to be more appropriate in fi xed point theory then S. Gahler and B. C. Dhage defi ni- ons of distance for three (or more) points. In this paper I am going to prove
a fi xed point theorem for self-mappings with contrac ve iterate at a point on closed subset of D*-metric space. At the end a common fi xed point theorem for sequence of self-mappings on D*-metric space will be proved. Let us re-call that func on T X: →X with property: for any x in X there exists n=n(x) in N such that any y,z in X D*(Tnx,Tny,Tnz) ≤ qD*(x,y,z) , q in [0,1), we say that T has a contrac ve iterate at a point.
Gavrilov A., Ins tute of Thermophysics of SB RAS, KrasnoyarskDekterev A., Ins tute of Thermophysics of SB RAS, Krasnoyarsk
Numerical simula on of unsteady cavita ng fl ow over hydrofoil
Modeling of the cavita ng turbulent fl ow over hydrofoil NACA6602-12% in 2D statement at various angles of a ack and cavita ng numbers has been carried out. Modeling of cavita ng turbulent fl ow is carried out within the framework of homogeneous approxima on for the two-phase medium. For the purpose of vapor phase transfer descrip on a number of models ap-proved for the problems of cavita ng fl ow around streamline bodies (blades, hydrofoils) is chosen. Two-phase turbulent fl ow modeling is based on the non-sta onary formula on of the RANS approach. For the closure of Reyn-olds averaged equa ons dissipa ve models of turbulence are used: modifi ed high-Reynolds k-epsilon model and two-layer k-omega Menter model. Basing
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on the operator-spli ng techniques for non-steady form of con nuity and fl ow equa on, there is proposed the scheme of the Douglas-Rachford type for problems with strong coupling between pressure and density fi elds. The numerical implementa on of this scheme is performed as a predictor-correc-tor procedure similar to SIMPLEC algorithm. The simula on of fl ows over a number of axisymmetric cylindrical bodies and a planar hydrofoil at various cavita on numbers has been performed for the purpose of cavita on models and numerical methods verifi ca on. The numerical modeling of the cavitat-ing turbulent fl ow over the hydrofoil has predicted a development of the self-oscilla ng mode. On the rear side of hydrofoil near to a head part the vapor cavity is formed. In the tail of cavity the re-entrant jet is observed, resul ng in the separa on of vapor cavi es and development of the bubbly fl ow mode. The obtained numerical results are compared to available experimental data for the pressure fi eld distribu on, Strouhal number and the maximal length of the a ached vapor cavity.
Golushko S.K., ICT SB RAS, NovosibirskGolushko K.S, ICT SB RAS, Novosibirsk
On certain statements of inverse problems in mechanics of composite plates and shells and methods of a solu on thereof
Тонкостенные изделия типа пластин и оболочек являются важнейши-ми элементами многих современных конструкций атомной эне-ргетики, авиационной, космической и машиностроительной техники, глубоководных аппаратов, строительной индустрии.При анализе работоспособности и надежности таких конструкций, их экономической эффективности первостепенное значение имеют расчеты их прочности, жесткости, обеспечения минимального веса и стоимости. Высокие удельные прочностные характеристики традиционных материалов (сталей, алюминиевых, магниевых и титановых сплавов) достигли своего предела и возможности их дальнейшего прогресса невелики. Значительное повышение требований к современным конструкциям, заставило использовать при их изготовлении новые композиционные материалы. Принцип армирования высокопрочными и высокомодульными волокнами открыл пути к практически нео-граниченному совершенствованию современных композитных ко-нструкций, сочетающих высокие показатели прочности, жесткости, на-дежности с другими ценными качествами: относительно малым весом, регулируемыми свойствами электро и теплопроводности, высокой
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стойкостью к агрессивным средам и т.п.В работе рассматриваются некоторые новые постановки обратных задач механики тонкостенных однородных, слоистых и армированных пластин и оболочек. Обсуждаются возможные критерии рационального и оптимального проектирования однородных и гибридных конструкций. Представлен оригинальный метод решения широкого класса за-дач рационального проектирования композитных конструкций. Исследован ряд конкретных задач рационального проектирования армированных оболочек, когда в качестве критериев рациональности выступают требования безмоментности и безызгибности напряженно-деформированного состояния, равнонапряженности арматуры, посто-янства удельной потенциальной энергии оболочки.
Gourary M M., IPPM RAS, MoscowRusakov S. G., IPPM RAS, MoscowStempkovsky A.L., IPPM RAS, MoscowUlyanov S. L., IPPM RAS, MoscowZharov M.M., IPPM RAS, Moscow
Numerical Aspects of Adap ve Harmonic Balance Method in Circuit Simu-la onThe Harmonic Balance (HB) is the powerful and effi cient method of steady-state analysis in many prac cal simula on problems in par cular in nonlinear automa c control systems, in electrical simula on and others. HB is the fre-quency-domain technique of nonlinear simula on and it has well known ad-vantages in comparison with me-domain steady-state simula on. In par c-ular, applying to simula on of nonlinear radio frequency (RF) circuits it fi nds solu ons effi ciently for problems with widely separated me constants and also with mul tone excita on. However, though the conven onal HB method is well suited for weakly and mildly nonlinear problems it has essen al limi-ta ons for analysis of strong nonlinear circuits. Actually the each variable is presented by a truncated Fourier series, resul ng in a system of equa ons of order ORD=(2K+1)N, where K is the number of terms in the Fourier series (harmonics) and N is the number of state variables in the analyzed circuit. To obtain desired accuracy highly nonlinear problems require a large number of harmonics, which may increase the size of the system to be solved beyond prac cal limits. Therefore the problem of solving of large dimension system is the key computa onal problem of the HB technique. New techniques are required to extend the Harmonic Balance method for solving strong nonlin-ear problems. New computa onal approach - Adap ve HB Analysis (AHBA-
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approach) is discussed. The approach is based on adjus ng the order of HB problems by adapta on to nonlinearity degree. The suggested adap ve har-monic balance analysis is intended to reduce computa onal eff orts for HB large problems during simula on process due to automa c varying number of harmonics. The main purposes of AHBA approach are the following: - de-velop computa onal schemes that support reducing HB problems by adapta- on to nonlinearity degree; - reduce computa onal eff orts for solving large
dimension HB problems with large number of rela vely small entries. The de-veloped computa onal procedures are based on Krylov subspace techniques.
Jainakov A., Ins tute Physics, BishkekAshirbaev B.Y., Ins tute Physics, Bishkek
Analy cal design of linear regulator on singular perturba ons
In ar cle is considered sta onary singularly pertubed opera ng system. Of-fered the way of designing of linear regulator based on method of mo on separa on and characteris cs of Grama operator. The results were obtained:
controlling, which provides passing the system from ini al state to the fi nal state, possesses the decomposi on, and it can be deter-mined in diff erent scales of me by vectors, which belongs to the area of values corresponding to inverse operators Grama;
matrixes-operator Grama - an symmetric and depending on me of moving the prepared subsystems, have the diff erent scales of inte-gra on area;
for operated sta onary system with slow and quick mo on is con-structed the linear regulator, consis ng of two sub regulators, which provide the transla on of system from any point in space to the origin of coordinate system moreover under their ac on are apart adjusted (on rate of ac on depending on me) diff erent phase mo- on of the system
Jainakov A., Ins tute Physics, Bishkek
Numerical analysis of electric arc by the relaxa on method
In this work a mathema cal model is proposed, in the basis of which there is a total nonsta onary system of magnetogasdynamic equa ons. Produc on of the steady-state condi on of gas fl ow and gas hea ng with electric arc in a channel by the relaxa on /pseudoviscosity method is inves gated. This
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model and the developed algorithm and program of calcula on may be used for studies of nonsta onary processes related to connec on and interrup on of arcs, transient processes and use of alterna ng current sources. Besides, this computa on method allows to study stability of sta onary solu on pro-duced by the relaxa on method.
Kamalova G.A., Ins tute of Mathema cs, AlmatyRamazanova G.Y., Ins tute of Mathema cs, Almaty
Numerical modeling of interac on of solid par cles with a gas fl ow
In the present work the injec on of two-phase gas-dispersed fl ows (air-solid par cles) are simulated. For the solu on of the problem the Euler-Lagrange approaches is used. The mechanism of an interchange of gases with par cles is studied.
Karepova E.D., Ins tute of Computa onal Modelling SB RAS, KrasnoyarskMalyshev A.V., Ins tute of Computa onal Modelling SB RAS, KrasnoyarskShaidurov V.V., Ins tute of Computa onal Modelling SB RAS, Krasnoyarsk
Research of effi ciency of parallel realiza on of FEM for boundary problem of shallow water equa ons
In this work effi ciency of some parallel realiza ons of an algorithm for the numerical solu on of a boundary-value problem for the shallow water equa- ons which were performed with the help of the MPI library for C language
is compared. The fi rst approach is based on the decomposi on of a com-puta onal domain without overlapping subdomains, the second approach is based on the decomposi on with shady sides. Theore cal es mates of accel-era on for the parallel algorithm are given. Numerical results for a model grid and nonstructured grid for the Okhotsk sea are presented. Results concern-ing accelera on of computa ons depending on the number of processes, the type of communica on realiza on, and the method of the decomposi on of a computa onal domain are presented.
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Kazakov A.L., Ins tute of System Dynamics and Contriol Theory SB RAS, Irkutsk
Generalized Cauchy problem for the descrip on of complicated gas fl ow with shock waves
A study of the fl ows with singulari es, including shock waves, is on the mod-ern problems of gas dynamics. Mathema cal descrip on of such fl ows one can transform to generalized Cauchy problem (GKP) for the system of PDEs. A diff erence in the GKP from the Cauchy problem in tradi onal se ng lies in fact that ini al (boundary) condi ons are given not on one, but on two or on various surfaces. The number of surfaces does not exceed the number of independent variables. The number of condi ons coincides with the number unknown func ons. Existence and uniqueness theorems of GKP in a class of analy c func ons are proved. The proved theorems are used for mathema -cal descrip on of various gas fl ows with shock waves.
Kevkic T.S., Faculty of Science and Mathema cs, Kosovska MitrovicaPetkovic D.M., Faculty of Science and Mathema cs, Kosovska Mitrovica
Some analy cal solu on of nonlinear poisson equa on for inversion layer of mos structure
In this paper, some analy cal solu ons of the nonlinear Poisson equa on for inversion layer of MOS structure are presented. These solu ons are based on smoothing func ons and parameters than on physical approximate expres-sions available in the weak and strong inversion. On this way an explicit sur-face poten al versus gate voltage rela ons in the case of strong inversion in semiconductor are derived. Comparison with numerical data shows that the solu on gives good approxima ons of poten al for MOS structure. These so-lu ons can be applied to es mate classical and quantum mechanical density of carriers of nanoscale MOSFETs.
Khabakhpasheva T.I., Lavrentyev Ins tute of Hydrodynamic, Novosibirsk
Entry and exit of an elas c shell on a thin layer of the water
The paper is concerned with a problem of elas c shell fall down onto a thin layer of an ideal incompressible liquid. The shell ini ally touches the liquid free surface at a single point and then penetrates the liquid layer. The prob-lem is coupled because the liquid fl ow, the shape of the elas c shell and the geometry of the contact region between the body and the liquid must be
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determined simultaneously. The 2D-problem of a circular cylindrical shell impact and axisymmetrical case were considered before by the method of matched asympto c expansions for analyzes of liquid fl ow. This method was developed by Korobkin (1995) for the case of the fl at rigid body penetrate onto a the thin layer of the liquid. The structural analysis is based on the nor-mal-mode method. Strain- me histories of the inner surface of the spherical shell are of par cular interest. At the present study velocity of the interac on is small and eff ects of gravity taken into account. It is allow us to considered not only exit, but also exit of shell from the water layer under the buoyancy forces.
Kobalinsky M.В., Siberian Federal University, KrasnoyarskSibgatulin V.G., Siberian Federal University, KrasnoyarskSimonov K.V., Siberian Federal University, KrasnoyarskPeretokin S.A., Siberian Federal University, KrasnoyarskHudoberdin I.R., Siberian Federal University, KrasnoyarskKrasnoramenskaja T.G., Siberian Federal University, Krasnoyarsk
Informa on technology for the geodynamic risks es ma on
Research is directed on sa sfac on of increasing volumes of building in dif-fi cult geodynamic condi ons, taking into account development of the mar-ket of the real estate, for the purpose of decrease in geodynamic risks, with reference to territory of Krasnoyarsk region. As a result of researches the informa on technology which components are the analysis of the data of geomonitoring about adverse geodynamic factors, se lement modules of an es ma on сотрясаемости грунтов, and also the account of geodynamic risk at a cadastral both market es ma on of the ground areas and real estate insurance is developed. Working out of the GIS-SCHEME of division into dis-tricts of Krasnoyarsk on degree of geodynamic danger, razlomno-blokovomu to a structure and neotectonic movements is carried out by carrying out of tool geophysical researches. Bases of records axelerogramms, which allows to create the rynochno-a rac ve informa on for the building companies are created. Points of supervision of geomonitoring have been placed on pro-fi les from known pointed zones Altai Sayansk seismoac ve area in a direc on to Krasnoyarsk for recep on axelerogramms and characteris cs of a enua- on of seismic fl uctua ons with distance. Within the limits of the specifi ed
researches it is developed informa on-methodical maintenance for the ac-count of geodynamic factors at a cadastral both market es ma on of the ground areas and real estate insurance.
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Kosogorov O.M., St. Petersburg State University, St. PetersburgMakarov A.A., St. Petersburg State University, St. Petersburg
Spline wavelet decomposi on and parallel compression
Splines and wavelets are extensively applied to designing effi cient algorithms for processing of digital data fl ows. If spline spaces on a refi ning sequence of grids are embedded in each other, the chain of embedded spaces decom-poses into a direct sum of wavelet spaces, and basis func ons with minimum support length are given, then a wavelet decomposi on of the correspond-ing data fl ow can be constructed, which substan ally reduces computa onal expenditures. Moreover, by using non-uniform grids, it is possible to improve approxima on without complica ng computa ons. Thus, we can split the ini- al data fl ow so as to dis nguish main and refi ning data fl ows. This allows us
to compress the input digital signal and transmit the main data fl ow at higher speed; the refi ning fl ow can be transmi ed only fragmentarily, depending on needs. We regard spline wavelet decomposi on of B-spline spaces for ar-bitrary refi ning of non-uniform grids. Thus a new algorithm for compression (decomposi on formulas) and decompression (reconstruc on formulas) of digital data fl ows is developed. Numerical simula on results of compression of model digital data fl ows are done. Mul processor systems or mul core processors give the best fi t to spline wavelet spli ng of digital fl ows: every fl ow processing can appoint to one of processors (cores). Even two cores ap-preciably increase compressing and decompressing of digital signals. Parallel forms of decomposi on and reconstruc on formulas are done.
Lempert A. A., Ins tute of System Dynamics and Contriol Theory SB RAS, IrkutskGornov A.Yu., Ins tute of System Dynamics and Contriol Theory SB RAS, Irkutsk
Algorithm of stochas c approxima on of set of a ainability for controlled system on plane
Algorithm of the internal approxima ons construc on for the a ainability set of controlled system with parallelepiped limita ons for two-dimensional systems Is considered. Algorithm is based on the method of stochas c ap-proxima on, which includes the genera on procedure of the collec on of func ons, which can cover suffi ciently ghtly the set of admissible controls, and integra on method of system under selected control. As the class of ap-proxima ng controls, the random relay func ons with random number of switching are used. To inves gate the proper es of proposed algorithm, the collec on of test problems is developed. Carried out comparisons with re-
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sults of other authors confi rm the fi tness for work of proposed method. We give some results of computational experiments.
Ljajko E., Faculty of Science and Mathema cs, Kosovska MitrovicaPavlicic Z., Faculty of Science and Mathema cs, Kosovska Mitrovica
Geogebra and high school analy c geometry instruc on
All modern versions of educa onal so ware simply a ract high school teach-ers as well as their students to apply them in the process of teaching/learning mathema cs. GeoGebra off ers extraordinary high possibili es to modernize the process of teaching/learning analy c geometry in high schools. Never-theless, how effi cient is such a process? How much eff ort should teachers and students invest in the process to combine GeoGebra and mathema cs in a meaningful manner? Does such an eff ort pay off ? In this ar cle we try to an-swer these and other similar ques ons. Our source of informa on was an ex-perimental instruc on we held in technical school “Nikola Tesla” in Leposavić, Serbia. Results of earlier researches in this fi eld (dr. Dragoslav Herceg, 2003 – 2008 dr. Radivoje Stojković, 2003 – 2006) were used while organizing and carrying out the instruc on process. GeoGebra was embedded in the ana-ly c geometry instruc on using appropriate dynamic worksheets. There are shown in the ar cle some of the worksheets used as well as possible ways to organize and perform such a process of teaching/ learning, ways to organize an appropriate classroom and advantages and disadvantages of the process.
Lyamina V.A., IGM SB RAS, NovosibirskZolnikov I.D., IGM SB RAS, NovosibirskKorolyuk A.Yu., CSBG SB RAS, NovosibirskDobretcov N.N., IGM SB RAS, NovosibirskSmolentcev B.A., ISA SB RAS, NovosibirskGlushkova N.V., IGM SB RAS, Novosibirsk
Mapping and monitoring of heterogeneous landscapes by methods of GIS and RS
The complex technology of mapping and monitoring of heterogeneous land-scapes with use of methods of remote sensing and geoinforma on modeling is presented. Development and approba on of complex technology was pro-
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vided on etalon polygone “Kasmalinsky forest”, wich represents complex of pinery and grassy landscapes of south-western part of Altay region. Strip for-ests of steppe area of Ob-Irtysh interriver are unique natural phenomenon. They form a series of north-east extended stripes, occupying troughs. Such landscapes have complex spa al structure of soil-plant cover, that makes them a rac ve for heterogeneous landscape analysis on diff erent hierarchic levels.Proposed technology is realized for images of all scales (MODIS, Landsat, QuickBird) and for all ecosystem levels in the same way. This technology al-lows to analyze heterogeneous landscapes with complex spa al structure by methods of GIS and RS. It is based on using geodatabases, including geology-geomorphologic, soils and botanic data normalized to the interdisciplinary standard. This technology includes image processing of the diff erent spa al resolu on by methods of supervised classifi ca ons, and also density analy-sis of territorial heterogeneity with use of grid models (with applica on of so ware packages ENVI and ArcGIS). Alloca on of landscapes on the basis of image processing and geoinforma on modelling allows to map not only homogeneous, but also heterogeneous land ecosystems and also to conduct monitoring of their dynamics.The work was made in frameworks of project “Development complex indica- on system of deser fi ca on processes and es ma on of modern ecosys-
tems condi on of Siberia and Central Asia”, and supported by RFBR (##09-05-00732, 08-04-00055)
Lyubashevskaya I.V., Lavrentyev Ins tute of Hydrodynamics SB RAS, NovosibirskBanshchikova I.A., Lavrentyev Ins tute of Hydrodynamics SB RAS, Novosibirsk
Deforma on of plates from alloys with diff erent proper es on tension and compression at creep
The results of calcula ons received by using various techniques in one- and twodimensional statements for a problem of torsion of a square plate at the high temperature with taking into account diff erent resistance of a materi-al to tension and compression at creep are submi ed. Kinema c and sta c statements of a problem are considered also. Calcula on for materials with diff erent resistance at creep by using the standard fi nite-elements packages is problema c enough, but such programs can be used for an es ma on of the received decisions. Comparison of numerical results and experimental data of curvature of a plate for two aluminium alloys is executed. It is shown
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not taking into account of real proper es of creep at the decision of applied problems of details shaping and forecas ng of their further exploita on can result in essen al mistakes which can reach one order and more.
Madzhara T., Ins tute for System Dynamics and Control Theory SB RAS, Irkutsk
Adap ve technology for the numerical solu on of the op mal control problems with the computa onal peculiari es
В докладе рассмотрен класс задач оптимального управления с вычис-лительными особенностями, описаны подходы, позволяющие успешно находить оптимальные решения. В целях автоматизации процесса ре-шения таких задач разработан интеллектуальный динамический плани-ровщик - компонент программного комплекса, имитирующий действия эксперта при работе с программным комплексом в диалоговом режи-ме. Представлена формальная модель эксперта, на основании которой разработан планировщик, приведена архитектура программного ком-плекса, учитывающая возможность решения задач рассматриваемого класса. Работоспособность разработанного программного комплекса проверена на пакете тестовых задач и ряде модельных прикладных за-дач из области биохимии и аэродинамики.
Mandak A., Teacher-training Faculty of Prizren, Leposavic
On construc on weighted projec ve plane of order 4 and (2, 4 – 1)-quasig-roup
We introduce a no on of weighted projec ve planes which is a generaliza on of usual projec ve planes. We prove that a Frobenius group G of order 10 operates on a projec ve plane P of order 4 as a colinea on group. Using this opera on the plane P may be constructed. A weighted projec ve plane P’ of order 4 is equivalent to a totally symmetric (2, 4 – 2)-quasigroup.
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Martysevich U.V., Ins tute of Geology and Mineralogy for SB RAS, NovosibirskBoldyrev I.I., Ins tute of Geology and Mineralogy for SB RAS, NovosibirskDobretsov N.N., Ins tute of Geology and Mineralogy for SB RAS, Novosibirsk
Mul spectral satellite data correc on and preprocessing techniques for simula ng of geological and landscape condi ons
Despite great achievements in Earth remote sensing techniques so far vi-sual image interpreta on based on knowledge of decoding indica ons of considering objects is applying most of me then using mul spectral data for geological purposes. Recogni on of rock types on mul spectral satellites images of cross-country areas and areas with presence of vegeta on is dif-fi cult. A empt of integrated solu on of research of natural rock outcropping components specifi city in spectral characteris c of satellite images includ-ing infl uence of landscape and vegeta on is undertaken in presented ar cle. Diff erent methods of satellite images topographic correc on are analyzed in the proceeding. Such as methods to minimize infl uence eff ect of variable illu-mina on of surface in visible and infrared spectral bands. And also were ana-lyzed diff erent techniques for suppression of vegeta ve spectral contribu on in areas with par al growth. Verifi ca on and evalua on of satellite data spectral correc on results was done by example of test polygons with diff erent typical landscapes with considera on of fi eld data: assessment of vegeta on fi ll, grain composi on, contents of forming minerals in rocks, illumina on. It was found that vegeta on type and illumina on range (for regions with compound relief) impact on refl ectance of rocks more than their grain and mineral composi on. Technique of shadow suppression on satellite pictures may be used for stud-ies of diff erent landscape proper es: spectral and visual assessment of veg-eta on proper es located on low illuminated mountainsides and modeling of landscape parts contribu ons (vegeta on, underlying surface, illumina on). Topographic correc on is promising with respect to resolving of geological problems: satellite images classifi ca on for geological subjects in mountain areas where iden cal rocks may have diff erent refl ectance because of illumi-na on diff erences; hidden tectonic structures recogni ons without demon-stra on in relief.
Martyushov S.N., State Duma of Russian Federa on, Moscow
Numerical simula on of shock wave diff rac on on the body as the test for me accuracy of explisit algorithm
At calcula ons of sta onary or slowly varying fl ow near a fl ying body the main a en on gives to increase the accuracy of the decision on spa al co-
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ordinates. Some mes large me step is used for achieving of sta onary de-cision. The other situa on appears for numerical simula on of essen ally non-sta onary processes. So for diff rac on of a shock wave on a fl ying body, there is the impulse of displacing forces genera ng non-sta onary forward and rotary movement of a body. Change of a trajectory, a direc on of move-ment and speed in turn change value and the direc on and value of infl uence to a body. There is a problem with a feedback. For such problems the error of calcula on on me coordinate is integrated at calcula on of integral charac-teris cs of fl ow, fi rst of all works of displacing forces and, in consequence of it, sizes of displacement, a direc on of movement or a turn of a body. As the result absolutely diff erent decisions can be received, depending on me ac-curacy of algorithm. Diff rac on of a shock wave on the free and fi xed sphere in a shock tube was numerically simulated. Two similar numerical algorithms were used: TVD schemes of Harten and Chakravarty. In the fi rst case the sec-ond order of approxima on on me in a mul dimensional case was reached by spli ng of the operator of a step on symmetric sequence of operators of a step in coordinate direc ons. In the second case me approxima on of Run-ge-Cu a of diff erent orders of accuracy was used. Calcula ons were made on sequence of structured ellip c grads. Points of grid where condensed on the surface of sphere. The algorithm of grid construc on is based on the decision of system of Poisson equa ons. Results of calcula ons show essen al change of integral characteris cs of fl ow with increasing of decision accuracy.
Massel L.V., Energy Systems Ins tute named L.A. Melen ev SB RAS, Irkutsk
Intera on of the distributed informa on resourses for the power engineer-ing research
Energy Systems Ins tute named Melen ev L.A. of SB RAS carry out research-es of energy systems and fuel and energy complex (FEC). These researches are associated and have common informa on base. For the receiving of valid conclusions and recommenda ons prepared for the outside organiza ons was proposed virtual integra on of separate data bases and knowledge bas-es. Knowledge bases are realized as ontology space joining some ontology’s of energy applied fi elds. Integra on is made in the bounds of informa on infrastructure included into IT-infrastructure of power engineering research. In informa on infrastructure picked out three stratums: the fi rst stratum is metadata model of informa on infrastructure, the second is metadata stra-
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tum and the third is data stratum of IT-infrastructure. For the making of meta-data model are used ontology’s. The objects of IT-infrastructure are described by metadata on the base of crea ng ontology. The program components of informa on infrastructure are divided on three logical levels: fi le system lev-el, DBMS level and client level. In informa on infrastructure there are system and applied components. System components are Program core, Metadata base, File store, Administra ve program and Repository driver. Applied com-ponents are Data retrieval program, File retrieval program, Web-applica on for the revision of Repository, SOAP-interface and others. The realiza on of all program components of informa on infrastructure made accordance with SOA concep on. The central component is Repository which was realized on the base of DBMS Firebird 1.5.2 and Microso SQL Server 2000/2005.
Mausumbekova S.D., Al- Farabi Kazakh Na onal University, AlmatyNaimanova A. VNS Ins tute of mathema cs, Almaty
Numerical modeling of a stremnilining two bodies in tandem in the air fl ow
Численно моделируется процесс образования и взаимодействия вихрей при обтекании потоком воздуха двух тел, расположенных тандемом. Ис-следовано влияния расстояний между препятствиями на вихреобразо-вание. Определены расстояния между препятствиями, при которых про-исходит интерференция завихренности (эффект резонанса).
Maximov V.V., St. Petersburg State University of Technology and Design, St. PetersburgNudner I.S., Research Centre for Capital Construc on, St. Petersburg
The interac on of gravity waves with the par ally permeable obstacles
The interac on of surface waves with the mari me works having permeable members is considered. The waves of rela vely small height are studied. The liquid is ideal and incompressible, and its mo on has the poten al func on. The theore cal problem is solved by the eigenfunc on expansion method. The solu on is compared with the experimental data. The analysis shows the sa sfactory agreement.
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Mestrovic R., Faculty of Mari me Studies, KotorPavicevic Z., Faculty of Science and Mathema cs, Podgorica
Topologies on the Privalov spaces with applica ons in the theory of Ban-ach algebras
We compare diff erent topologies on the Privalov spaces of analy c func ons on the open unit disk in the complex plane. As an apllica on, we obtain the asympto c versions of some known theorems in the Theory of Banach Alge-bras.
Mijajlovic Z., Faculty of Science and Mathema cs, Beograd
Applica on of informa on science in digi za on of scien fi c and cultural heritage
The aim of this paper is to present the eff orts in the area of digi za on done by a group of Serbian scien sts from the Faculty of Mathema cs of the Uni-versity of Belgrade, the Mathema cal ins tute and the Archeological ins -tute of the Serbian Academy of Science and Art and since recently the Fac-ulty of natural sciences of the University in Pris na, now situated in Kosovska Mitrovica. Goals are development of standards for digi za on, development of metadata, development of computer technologies, so ware and database specifi c for digi za on and scien fi c research of theore cal disciplines on which digi za on is founded. Our achievements include the Virtual library (h p://elib.ma .bg.ac.yu:8080/virlib) which includes several hundred old and rare books in mathema cal sciences wri en by Serbian authors and most of doctoral disserta ons in mathema cs, astronomy and mechanics wri en at the Belgrade University. There is also the e-library of Serbian math-ema cal journals (h p://elib.mi.sanu.ac.rs) which contains, for example, the complete digi zed collec on (since 1932) of the leading and oldest Serbian mathema cal journal Publica ons de l’Ins tut Mathéma que. These two projects are oriented towards Digital mathema cal library, a world project on which works many world ins tu ons. The fi nal aim of this project is the fulfi llment of a mathema cal dream of a digital archive containing all peer-re-viewed mathema cal literature ever published, properly linked and validated (verifi ed). Finally we men on the Electronic catalog of cultural monuments in Serbia h p://spomenicikulture.mi.sanu.ac.yu. It includes various data, in-cluding GIS data, on more than 1000 most important monuments in Serbia (monasteries, archeological sites, historical sites etc).
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Milosavljevic S., Faculty of Economics, Kosovska MitrovicaTrajkovic S., Faculty of Science and Mathema cs, Kosovska Mitrovica
M-commerce i savremene telekomunikacione tehnologije
Mobile telecommunica ons is a link that connects people anywhere to be found. Voice and data over the mobile telecommunica on network enables the sending of informa on and perform transac ons on a new and unique way. They create a new business domain called mobile business or m-com-merce, which is an expanded founda on of Internet e-business with many unique features built. As a basic pla orm, mobile telecommunica on net-works play a crucial role in the mobile business today. Technical characteris- cs of mobile telecommunica ons and their development is determined by
the base for mobile business. In this paper we study and present the techni-cal characteris cs of mobile telecommunica on technology of 1g network to 3G and beyond.
Milosevic H.M., Faculty of Science and Mathema cs, Kosovska Mitrovica
Applica on of low-temperature plasma in steel-making converters
With the use of numerical modeling an inves ga on of the process of the jet gunni ng of the walls of a steel-making converter is considered. By the jet gunni ng is meant the process of making an addi onal protec ve refractory coa ng on the basic lining of the walls of the steel-making converter with the aid of a system of two-phase jets transpor ng a so ened refractory material (magnesite) to the converter wall. The results of numerical modeling agree quite sa sfactorily with the experimental results in terms that the highest penetra on rate of par cles takes place in the region of high temperatures near the nozzle block axis into which the par cles migrate under the ac on of turbulent fl uctua ons of the carrying gas fl ow.
Milovanovic G., College of Computer Science, Beograd
Numerical treatment of Fredholm integral equa ons
In this lecture we introduce and discuss some numerical methods, based on new results of polynomial approxima on, for solving Fredholm integral equa- ons of the second kind in the spaces of con nuous func ons equipped with
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certain uniform weighted norms, where is the unknown func on, and are given func ons, is a weight func on, and is a fi nite interval or the real semi-axis . Also, we men on some results for the Cauchy singular integral equa- ons. The case we treat with the Jacobi weight and the case on half-line with
the generalized Laguerre weight Assuming the con nuity of the kernel we use Nyström methods and prove the stability, the convergence and the well-condi oning of the corresponding matrices. Error es mates and numerical tests are also included.
Milovanovic G., Faculty of Electronic Engineering, NisSpalevic M. M., Faculty of Science, KragujevacPaunovic Lj., Teacher-training Faculty, Leposavic
Error bounds of Gauss-Turán-Kronrod quadratures with Gori-Micchelli weight func ons for analy c func ons
In this paper, Kronrod extensions of Chakalov-Popoviciu quadratures are in-troduced. We study some cases of Chakalov-Popoviciu-Kronrod quadrature formula for a subclass of Gori-Micchelli weight func ons, as well as for the generalized Chebyshev weights. For the Gori-Micchelli weight func ons in the case of the Gauss-Turán-Kronrod quadratures we succeeded to fi nd very eff ec ve error bounds, for func ons analy c on confocal ellipses.
Minic G. S., Teachers faculty, LeposavicVorkapic M., IHTM-CMTM, BelgradeTanaskovic D., IHTM-CMTM, Belgrade
ACQUISITION AND PROCESSING DATA AT THE MEASUREMENT RESISTANCE THERMOMETERS
This paper will talk about the crea on of virtual instrumenta on for test, measurement and data acquisi on at the measurement resistance thermom-eters with a Pt-100 sensor. In this way, engineers are given the opportunity to achieve the desired performance and accuracy in measurements. Virtu-al instrument is a combina on of hardware and so ware elemenanta, and used to display the LABWindows/CVI program. This program contains all the necessary elements for the development of advanced applica ons for mea-suring, tes ng and automa c control. The use of classical instruments that
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monitor and measure the temperature bands have a need for automa on of data, which is realized in combina on with virtually instruments.
Mi c Z. D., Faculty of Technical Science, Kosovska MitrovicaPetkovic M. D., Faculty of Science and Mathema cs, Kosovska Mitrovica
Characteriza on of heavy doped semiconductors using analy cal approxi-ma on of Fermi integrals
In heavy doped semiconductors the charge carriers have energy distribu on according Fermi-Dirac func on. Because that the carriers concentra on and electric fi eld and poten als in surface layers versus Fermi level rela ons are expressed as Fermi integrals. In this paper we are analyzed some analy cal approxima ons of Fermi integrals order of one half and tree half and their applicability for calcula on of carrier concentra ons and surface electric fi eld in heavy doped semiconductor. These results are also applicable on polycrystalline grains of polysilicon fi lms.
Moskvichev V.V., Presidium of Krasnoyarsk Scien fi c Center of SB RAS, Krasnoyarsk
Applied problems in probabilis c risk-analysis of technical systems
The study presents generaliza on of causes of failure and classifi ca on of the limit states for complex technical systems (CTS). Proposed are models and algorithms for risk-analysis of CTS, and data base for applied problems solv-ing. Calcula ons are based on probabilis c models of defects, crackresistance proper es, loading condi ons, and stress-strain and limit states. Assessment of structural risk is determined by the fracture probability of structure ele-ments for a given type of limit state. Model calcula ons of risk-analysis are carried out for a number of CTS construc ons including components of nu-clear and space engineering, pressure vessels and pipelines.
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Moskvicheva L.F, Ins tute of Computa onal Modeling, KrasnoyarskBurov A.E., Ins tute of Computa onal Modeling, KrasnoyarskBogulskaya N.A., Ins tute of Computa onal Modeling, Krasnoyarsk
Module structure of a master course “CAD and CAE systems”
A teaching-methodical complex on «Computer Aided and Computer Aided Engineering Systems» has been developed as part of a master program for specialists in carrying and li ing machines, and technological complexes. The discipline is indented to provide students with fundamental knowledge on ap-plica on of computer technologies in solving scien fi c and engineering prob-lems, as well as to develop skills in modeling, design and analysis of technical objects, developing engineering documenta on. The course consists of three modules. The module “Computer technologies in solving research problems” deals with methods used for solving engineering tasks and elabora ng ex-perimental data with means of MatLAB and MathCAD so ware. The module “Design and engineering in graphical CAD” teaches students how to use CAD-technologies in design and analysis of li ing machines. Digital prototyping of items and engineering documenta on are developed using Autodesk Inven-tor so ware. The module “Computer aided engineering analysis” provides in-depth understanding and prac cal skills required in design and analysis of technical objects. The training is based on applica on of ANSYS so ware. The main objec ves of the module are: - fundamentals of mathema cal model-ing, numerical methods used to iden fy and analyze engineering problems; - fi nite elements methods in solid mechanics; - analysis of stress and limits states of structural components.
Odalovic M.T., Faculty of Science and Mathema cs, Kosovska MitrovicaPetkovic D.M., Faculty of Science and Mathema cs, Kosovska Mitrovica
A stochas c model of gamma-ray induced charge in silicon dioxide fi lms of mos transistors
In this paper a stochas c model of gamma-ray irradia on eff ects on density of induced charge in silicon dioxide fi lms of MOS transistors is explained. In this model the we are assumed that both of irradia on traps crea on and charge genera on-recombina on are stochas c processes. For es ma ng gamma-ray induced charges spa ally distributed in silicon dioxide fi lms Mon-te Carlo method was used. The developed model enables the gamma-ray induced threshold voltage shi determina on as a func on on gamma-ray doses. These results are compared with experimentally determined thresh-
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old voltage shi of gamma irradiated MOS transistors and sa sfactory agree-ments are obtained.
Alexandros Leontitsis, University of Ioannina, IoanninaEpameinondas Lekkas, General Hospital of Preveza, PrevezaEugenia Toki, University of Ioannina, IoanninaJenny Pange, University of Ioannina, Ioannina
An approach on Cronbach’s alpha
In this work we propose the prac cal use of the Cronbach’s alpha sta s cal signifi cance problem. This coeffi cient measures the reliability of a ques onnaire’s answers. Many analy cal tests have been developed over the years which gave birth to very complicated formulas. A previously adopted simula on approach to the solu on of this problem takes advantage of the computa onal power in order to give exact results for the distribu on of the null hypothesis regarding this coeffi cient. The applica on of this coeffi cient may apply to sta s cal analysis of medical data.
Pavicevic Z., Faculty of Science and Mathema cs, Podgorica
Hyperbolic geometry, curvilinear angles and points of porosity in inves ga- on of boundary proper es of func ons
The curvilinear angle in the open unit disk in the complex plane with the ver-tex a is a region generated by the hyperbolic disk with the hyperbolic center at a point w and the hyperbolic radius r when w passes along Jordan curve that ends at a point a from the boundary of the disk. We inves gate possibili- es for cover of region that arises by arc extension of curvilinear angle with
the vertex a by curvilinear angles whose ver ces are points of the set E on the boundary of the unit disk for which the vertex a is not the point of porosity. The obtained results can be used in the inves ga on of boundary proper es of arbitrary func on defi ned on the open unit disk.
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Pchelnikov D.V., Ins tute of Geology and Mineralogy for SB RAS, NovosibirskDobretsov N.N., Ins tute of Geology and Mineralogy for SB RAS, NovosibirskSladkih L.A., Data Recep on and Processing Center for West Siberian Region, Novosibirsk
Crop forecas ng system based on object-oriented monitoring concept
Crop yield forecas ng is very important task for agricultural development in Siberian region. Nowadays all informa on concerning arable lands usage in Russia is provided by farmers. Lack of reliable informa on points at the ne-cessity of development of agriculture monitoring system based on remote data, which will be independent from the informa on provided by the farm-ers. Since 2006 Novosibirsk Meteorological Survey has been developing ag-riculture monitoring system for Novosibirsk and neighborhood regions. The EPIC crop yield forecas ng model is used as base model with some regional adapta on. This presenta on discusses usage of object-oriented GIS archi-tecture, which is specially developed for motoring tasks, both automate data handling process and improve of measure parameters quan ty, as well as greater ability of system adapta on for local and regional condi ons. The main system component is the agriculture fi eld observa on model. This mod-el is based on the observa on model abstrac on class, which uses diff erent data exchange interfaces and allows using any diff erent data sources includ-ing satellite and meteorological data as well as fi eld observa ons. Supposed architecture doesn’t require ini al defi ni on of the agriculture fi eld geom-etry. The only base loca on of the monitoring object is required. It allows star ng the monitoring having minimal informa on and then collec ng the required data in process.
Peregudin S.I., St. Petersburg State University, St. PetersburgKholodova S.E., St. Petersburg State University, St. Petersburg
About geostrophic mo ons in a rota ng spherical layer of a non-uniform electrically conduc ng fl uid
Research of mechanisms of genera on of a magne c fi eld of the Earth owing to three-dimensional large-scale movement of the nonviscous, incompress-ible, non-uniform ideally spending electrowire rota ng liquid concentrated in a liquid terrestrial kernel is conducted. The off ered mathema cal model of inves gated physical process represents the closed system of the equa ons in the private deriva ves, consis ng of the equa ons of hydrodynamics tak-ing into account rota on of the Earth, Lorentz’s force and the corresponding equa ons of magne c dynamics with necessary boundary condi ons. With
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use of spherical co-ordinates and scales of func ons, suitable the analysis of mathema cal model is made for calcula on of three-dimensional move-ments with the big me scale and spa al horizontal scale, comparable with radius of the Earth. The basic idea of the analysis consists in construc on of the scheme consecu ve approach in which geostrophe approach is the fi rst step. The specifi ed method of the analysis allows, without being limited to heuris c reasonings, to deduce the general geostrophe equa ons describ-ing movements as homogeneous, so and the stra fi ed electrowire rota ng liquid. The analy cal decision of system of the nonlinear equa ons in the private deriva ves, modelling geostrophe movement in a layer of the ideal electrowire stra fi ed rota ng liquid is received. The analysis of structure of the presented fi elds magne c hydrodynamics values allows to draw a con-clusion on jus ce of a hypothesis of S.I.Braginsky about existence of strong changes in the thin layer of a terrestrial kernel adjoining border with a cloak.
Petkovic D., Faculty of Science and Mathema cs, Kosovska MitrovicaArandjelovic I., Faculty of Science and Mathema cs, Kosovska Mitrovica
On the convergence of diagonal approxima on
In fi rst part of this talk we present some recent results on the convergence of Diagonal approxima ons obtained by A.A. Gonchar and E.A. Rahmanov. Fulther we give solu on of one conjecture proposed by A.A. Gonchar. In the last sec on we prove some new results.
Petkovic D., Faculty of Science and Mathema cs, Kosovska Mitrovica Petrovic M., Faculty of Science and Mathema cs, Kosovska Mitrovica A truly third order fi nite volume schene on quadrilateral mesh
A third order fi nite volume method on a quadrilateral mesh is presented. By using quadrangles instead of rectangles as a basic element of the mesh, full generaliza on is archived. This work holds on a simple but valuable conser-va ve rule: inside a certain special domain (volume) the total amount of a contained quan ty (such as mass, energy, momentum) is preserved. Said in another way, the total quan ty in the volume doesn’t change except by fl ow (or due to the fl uxes) across the boundary of a domain. Effi cient tools for
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solving the conserva on laws are the fi nite volume methods. These methods are dealing with volumes (cells) and with averaged quan es within. In each of these cells we have exact conserva on. The dynamics of the average is determined by point values of the fl ux along the boundary. The aim is to ob-tain a third order accurate numerical solu on. This gives a mo va on for the reconstruc on of the numerical fl ux by some known func ons (polynomial, hyperbolic, logarithmic). In this work local double logarithmic reconstruc on was used. The components needed for developing LDRD func ons are sec-ond order approxima on to the fi rst deriva ves. These approxima ons are actually a crucial problem in this thesis and were solved specifi cally according to mul dimensional numerical integra on theory.
Petrovic I., Higher Educa on Ins tu on for Electrical Engineering and Compu ng, BeogradPetrovic M., Higher Educa on Ins tu on for Electrical Engineering and Compu ng, BeogradSpalevic P., Higher Educa on Ins tu on for Electrical Engineering and Compu ng, Beograd
Second order sta s cs of SC diversity system in the presence of fading
In this paper second order sta s cs of SC (Selec on Combining) macrodi-versity sistem’s in presece of varius clases of input feding of macrodiversity sistem’s are analized. Inputs of microdiversity sistem’s are varius combining of high speed and low speed feding that are modeled with Vabull, Nakagami – m, Raly and Rice distribu on. Macrodiversity SC sistem consist two micro-diversity sistems and opserve signal selec on based on their averige outputs powers that is modeled with Gama distribu on. Gained results are applied in modeling and designing of wireless comunica on sistems, in defi n ing param-eters of equivalent code chanel based on Marcovie model with fi nite number of states, as well as assessment of posibility package erors with fi nite lenght.
Petrovic I., Higher Educa on Ins tu on for Electrical Engineering and Compu ng, BeogradStefanovic C., Higher Educa on Ins tu on for Electrical Engineering and Compu ng, BeogradSekulovic N., Higher Educa on Ins tu on for Electrical Engineering and Compu ng, BeogradPetrovic M., Higher Educa on Ins tu on for Electrical Engineering and Compu ng, BeogradStefanovic M., Higher Educa on Ins tu on for Electrical Engineering and Compu ng, Beograd
Second order sta s cs of ra o of two random variables
In this paper, joint probability density func on of ra o of two random vari-ables and its fi rst deriva ve is determined. Furthermore, for ra o of two ran-
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dom variables, level crossing rate is derived. Random variables have Rayleigh, Rice, Nakagami-m and Weibull distribu on. Obtained results can be used for evalua on the performance of mobile telecommunica on systems opera ng over fading channels. Numerical results are presented to illustrate the pro-posed mathema cal analysis.
Petrovic L., Faculty of Science and Mathema cs, Kosovska MitrovicaStanojevic D., Faculty of Science and Mathema cs, Kosovska MitrovicaDimitrijevic S. Faculty of Science and Mathema cs, Kosovska Mitrovica
Sta s cal causality, weak solu ons and mar ngale problems of stochas c diff eren al equa ons driven with brownian mo on
The paper introduces a sta s cal concept of causality in con nuous me in fi ltered probability spaces which is based on Granger”-”s defi ni on of causal-ity. Then, we consider Ito’s stochas c diff eren al equa on driven with a pro-cess of Brownian mo on and show the equivalence between some models of causality and weak uniqueness (for weak solu ons of stochas c diff eren al equa ons). We also show that the given concept of causality is closely con-nected to the extremal solu ons of mar ngale problem and stopped mar n-gale problem.
Petrovic V. V., Higher Educa on Ins tu on for Electrical Engineering and Compu ng, Beograd
Kine cs of sintering with mathema cal theory of Gropjanov
Ceramic materials have been in use in many diff erent areas of human wellbe-ing for a very long me. Important domains in ceramic materials are those materials that are applied in electronics. Our research is focused on magne-sium- tanate (MgTiO3). Most common way of obtaining this material is by using the process of sintering. During mechanical ac va on inorganic mate-rials are grinded when grain size is being reduced. Crystal structure submits distor on and also change, what is leading in some systems to chemical re-ac on and forma on of new compound. In this work we are explaining me-chanical ac va on infl uence on sintering kine cs in system MgO-TiO2 with mathema cal theory of Gropjanov. We no ced temperature drop and me reduc on needed for MgTiO3 sintering when dura on of mechanical ac va- on is longer.
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Pikula M., Faculty of Philosophy, Istočno SarajevoVladicic V., Faculty of Philosophy, Istočno Sarajevo
About structures on the set of triangles
In this paper we consider possibility of introduc on algebraic structures on the set of triangles, each of triangles we will represent as element of R3, with x1>0, x2>0, x3>0, where present lenght sides of triangle.
Popovic Z., Faculty of Economics, NisBogdanovic S., Faculty of Economics, Nis
Mathema cal modelling of capital reinsurance
The main topic of this paper is the capital reinsurance of enterprises.The no- on of capital reinsurance, its classifi ca on as well as mathema cal models
used in defi ning the reten on are discussed here.The models displayed in the paper are examined under the assump on that the ideal condi ons exist, which is ,generally, not true in prac ce.Reinsurance denotes the reinsurance of capital i.e. insurance of insurance.Reinsurance represents the most effi -cient form of risk sharing among insurance companies.
Popoviс B., Faculty of Science and Mathema cs, Nis,Stojanoviс V., Faculty of Science and Mathema cs, Kosovska Mitrovica
Discrete autoregressive model of condi onal dura on
In this paper we propose the discrete model which describes the me of changes in stock prices. We modeled the changes in some law frequency se-ries. As a basic distribu on, we used a discrete type distribu on and also an autoregressive sequence. So, we named this model Discrete Autoregressive Condi onal Dura on model (D--ACD). The main stochas c proper es of the model are given. We apply this model on the real data set from Belgrade Stock Exchange.
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Radenkovic B., Faculty of Organiza onal Sciences, Beograd
Informa on technologies and religion
The subject of this paper is analysis of the historical development of informa- on and communica on technologies as well as their connec on with reli-
gion. The paper gives an overview of methods of communica on between people, communica on with macrocosm in which the human history goes on and communica on with inner microcosm of each human being. The histori-cal analysis aims to discovering laws and analogies that are important for cre-a ng, developing and the future of human communica on regarding myths and religious sources. Internet today is the dominant media for communi-ca on in human society, and therefore represents central issue in historical analysis. Many religious, historical and scien fi c resources have been used while working on this paper. For the vision of future the prophets’ sources have been used. The focus in this paper is also on achievements of Serbs for developing modern communica on.
Radenkovic N., Faculty of Science and Mathema cs, Kosovska Mitrovica
Data warehouse solu ons for CRM
In today’s highly compe ve business environment, CRM (Customer Rela- onship Management) systems, which provide the framework for analyzing
customer profi tability and improving marke ng eff ec veness, have become an indispensable component in enterprise informa on systems. Typically, CRM ac vi es include data analysis, campaign design, response analysis of customer data. To eff ec vely support such ac vi es, a data warehouse (which is a repository that integrates informa on from mul ple opera onal data sources) must be developed to act as the back-bone of CRM systems. A data warehouse is a core part that determines the performance of CRM sys-tems and quality of CRM services.
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Radosavljevic D., Faculty of Technical Science, Kosovska MitrovicaRis c J., Faculty of Technical Science, Kosovska MitrovicaMilojevic S., Faculty of Technical Science, Kosovska MitrovicaMilenkovic N. Faculty of Technical Science, Kosovska Mitrovica
MS Excel in mathema cs
Mathema cs is a fundamental discipline which is used for formula ng and solving real problems. Nowaday computer became mathema cal tool par ex-ellance. We can use many specialized packages of mathema cal tools, such as: Mathlab, MathCad etc., to facilitate problems solving. Although those programs have many advantages upon MS Excel, it can be used for solving broad class of mathema cal problems. MS Excel is able to solve problems from diff erent mathema cal branches, such as: analy cal geometry, linear algebra, mathema cal analisys, diff eren al equa ons, integral equa ons, probability theory, sta s c, mathema cs for engineering, etc.
Radosavljevic D., High Business Technical School, UziceTrajkovic S., High Business Technical School, UzicePredrag R., High Business Technical School, UzicePetrovic S. High Business Technical School, Uzice
Crea ng WEB applica ons using FrontPage and Access
The paper gives a brief descrip on of student services in the high-school in-s tu on, a descrip on of the database performed for conduc ng business in the same services and described in detail as HTML for access to data in the database. Key words: Web, database, HTML pages.
Radosavljevic D., High Business Technical School, UziceTrajkovic S., High Business Technical School, UziceRalevic P., High Business Technical School, UzicePanic S., High Business Technical School, Uzice
Informa on system of student services done in programs C++
The paper gives a brief descrip on of student services, concepts and meth-ods of programming and interface descrip on. Modeling of real programs with the help of modern technology and design simula on so ware includes analysis of the structure and behavior of the observed system, registra on
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knowledge using verbal, graphic, mathema cal or logical model and the model in appropriate so ware. The aim of this paper is to develop and simu-late the work of student services using object-oriented programming in C + +. Namely, the program should complete all the requirements of the user that contains all the necessary real elements which would be used in student services.
Raicevic A., Faculty of Technical Science,Kosovska MitrovicaPrica B. Faculty of Technical Science,Kosovska Mitrovica
One solu on for diff eren al equa on for non-linear mode PLL loop
In this paper nonlinear mode PLL loop is shown and its diff eren al equa on is presented in detail. This equa on belongs to the group of nonlinear dif-feren al equa ons which solu on can not be found in closed form. In fact, the solu on which can be found is numerical, or approximate, and varia on depends on type of approxima on. Of course, nonlinear mode PLL loop is not desirable, because it results in big distor ons. To avoid this, we process boundary condi on which gives us cri cal values of circuit parameters with jump phenomenon in response.
Rajković P.M., Faculty of Mechanical Engineering, NisMarinković S.D., Faculty of Mechanical Engineering, NisStanković M.S., Faculty of Mechanical Engineering, Nis
The frac onal q-operators and corresponding equa ons
Based on the frac onal q-integral with the parametric lower limit of integra- on, we defi ne frac onal q-deriva ve of Riemann-Liouville and Caputo type.
The proper es are studied separately as well as rela ons between them and their composi ons. Also, we consider usage of Picard-Lindelof method for the solving the corresponding diff eren al equa ons.
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Reshetnikov M. T., Tomsk state university, Tomsk
Математика и информационные технологии в российских образовательных стандартах
Российское (а до этого - советское) высшее образование всегда отличалось наличием фундаментальной составляющей, позволяющей студентам успешно осваивать прикладные дисциплины, а выпускникам – достаточно легко адаптироваться к реалиям рынка труда.Если говорить об инженерном образовании, то к фундаментальным дисциплинам следует отнести, в первую очередь, математику и физику, причем математику имеет смысл поставить на первое место, поскольку современная физика базируется на математической основе. Неразрывна связь между математикой и информационными технологиями ( ИТ ): математика в сложных случаях аналитически невыводимых конструкций вынуждена обращаться к численным методам, а ИТ, в свою очередь, базируются на фундаментальных математических выводах.В этой связи представляет определенный интерес анализ места и роли математических и ИТ-дисциплин в государственных образовательных стандартах (ГОС) современного, в частности, инженерного образования, а также сравнение объемов соответствующего образования в учебных планах российских и зарубежных вузов.Для сравнения были проанализированы три крупных направления подготовки дипломированных специалистов: «Автоматизация и управление», «Радиотехника», «Электроника и микроэлектроника». Общее число часов по учебным планам этих направлений ( также, как и большинства других технических направлений) одинаково и составляет 8260 часов за 5 лет обучения. При этом количество часов, отводимых на изучение математики, также примерно одинаково – 800 – 880, что составляет около 10% от общей учебной нагрузки.Трудоемкость ИТ-дисциплин, общих для специальностей всех трех направлений, составляет 440 – 540 часов (5 – 6% от общей трудоемкости учебных планов). В то же время за счет общепрофессионального и специального циклов дисциплин на направлении «Автоматизация и управление» существенно (до 12% - 1030 часов) увеличен объем информатики в широком понимании этого термина.Чтобы понять, много это или мало, можно сравнить приведенные цифры с количеством часов, отводимых на гуманитарно-социальный блок: 1800 часов, или 22% от общей нагрузки (напомним, что речь идет о сугубо технических направлениях).В рамках выполнявшегося в 2005 – 2007 г.г. проекта европейской программы TEMPUS аналогичный анализ был проведен в отношении направления «Электроника и микроэлектроника», имеющегося в
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ТУСУРе и в нескольких зарубежных вузах, а именно в технических университетах и высших технических школах Делфта (Голландия), Лондона (Великобритания), Цюриха (Швейцария), Нюрнберга и Аахена (Германия).Сравнение показало, что математике в зарубежных вузах уделяется почти в два раза больше часов: от 14,5% в Лондоне до 27% в Аахене. Удельный объем ИТ-курсов в два раза меньше, чем математических, но в то же время в два раза больше, чем в России: от 11% до 13,5% от общей трудоемкости.Таким образом, можно сделать вывод о том, что как математическая, так и ИТ-подготовка в российских вузах остается недостаточной, особенно учитывая высокою наукоемкость и технологичность современных инженерных специальностей и направлений.В качестве рекомендации можно было бы предложить при разработке ГОС нового поколения, во-первых, уменьшить гуманитарно-социальную составляющую учебных планов, во-вторых, оставить больше степеней свободы для самих вузов, которые смогли бы самостоятельно планировать направленность учебной нагрузки исходя из специфики подготовки специалистов.
Reshetnikova G.N., Tomsk State University, Tomsk
Следящие системы адаптивного управления экономическими процессами
В последнее время появилось новое научное направление – динамическая экономика, когда в качестве математических моделей экономических процессов используются системы обыкновенных дифференциальных уравнений. При этом оказываются применимыми методы теории управления в пространстве состояний, разработанные для технических систем. В докладе рассматриваются алгоритмы совмещенного синтеза адаптивного управления стохастическими системами при неполной информации применительно к двум задачам управления: управление поставками, отгрузкой и хранением товара на складе; управление поставками и рекламой товара, когда темпы продаж и потребления зависят от затрат на рекламу и цены товара. При этом реклама разделяется на статическую и динамическую с различным временем воздействия. Приводятся математические модели экономических систем для рассматриваемых задач и вводятся ограничения, вид которых определяется конкретной экономической
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задачей. Предлагается модификация локального критерия, что позволяет формировать управление при слежении только за прибылью.Моделирование для обеих задач осуществлялось по данным работы конкретных предприятий с целью увеличения прибыли на 5%. Результаты моделирования доказывают применимость предложенных методов к экономическим задачам управления поставками.
Rogalyov A. N., Ins tute of Computa onal Modeling SB RAN, Krasnoyarsk
An analysis of complex systems reliability and the es ma on of maximum devia ons of solu ons
In this report it is off ered to es mate ODE solu ons bounds under ac on of fi nal, constantly opera ng perturba ons. Among mathema cal descrip ons of similar problems we will allocate control of the guaranteed safety con-di ons and reachable sets es ma on. Examples of the constructed guar-anteed bounds of solu ons in problems of the es ma on of the zones of dangerous states and threshold values of parameters are resulted.
Rychkov A.D., Ins tute of Computa onal Technologies SB RAS, NovosibirskShokin Yu.I., Ins tute of Computa onal Technologies SB RAS, NovosibirskMiloshevich H., Faculty of Science and Mathema cs, Kosovska Mitrovica
Applica on of pulse aerosol system for fi re fi gh ng in coal mines
A working of pulse aerosol system of fi re fi gh ng (PASFF) for ex nguishing of ini a on of combus on of air - methane mixture in sha bo om and dri of coal mines is modeling. Results of numerical experiments were shown that PASFF can stop of movement of shock wave in burning air - methane mixture and to provide eff ec ve suppression of combus on process in the mixture. Furthermore the using of PASFF may protect people and mining equipment from shock wave impact.
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Sadovskaya O.V., Ins tute of Computa onal Modelling of SB RAS, KrasnoyarskSadovskii V.M., Ins tute of Computa onal Modelling of SB RAS, Krasnoyarsk
Numerical analysis of the waves propaga on processes in elas c-plas c and granular media on mul processor computer systems
Processes of the waves propaga on in elas c-plas c and granular media under small strains are analyzed within the framework of a new rheological model. The model takes into account diff erent resistance of materials with respect to tension and compression. Cons tu ve rela onships are formu-lated in the form of varia onal inequali es. The Mises-Schleicher destruc- on criterion is used to describe the granularity of medium, and the Mises
yield criterion is used to determine the plas city of grains. Algorithm for nu-merical realiza on of the model is worked out on the basis of the spli ng method with respect to physical processes and space variables. For the so-lu on of one-dimensional hyperbolic systems of equa ons in space direc- ons, the explicit monotone ENO-scheme is used. Special procedure of the
stresses correc on is applied to take into account irreversible strains. Parallel program system is proposed for the analysis of 2D and 3D dynamic problems on mul processor computer systems. The programming was carried out in Fortran using the MPI library and the SPMD technology. The universality of programs is achieved by a special packing of the variables used at each node of the cluster into large one-dimensional arrays. Computa onal domain is distributed between the cluster nodes by means of 1D, 2D or 3D decompo-si on so as to load the nodes uniformly. The paralleliza on is performed at the stage of spli ng the problem with respect to the space variables. Test-ing of the algorithm and the programs was fulfi lled on 1D problems, a good correspondence between the results of computa ons and exact solu ons was obtained. Numerical computa ons of 3D interac on of signotons (shock waves, on the fronts of which the strain changes its sign) in inhomogeneously loosened granular medium with the cumula ve splash forma on, computa- ons of the waves propaga on in double-layer heterogeneous medium with
curvilinear interface under ac on of concentrated impulsive load on one of its boundaries, and also similar computa ons for a medium with rigid inclu-sion were carried out at the clusters of Ins tute of Computa onal Modeling of SB RAS (Krasnoyarsk) and Joint Supercomputer Center of RAS (Moscow). The level surfaces of veloci es and stresses, seismograms of the par cles dis-placement, on which one can see incident longitudinal and transverse waves, conical, refl ected and refracted waves, the Rayleigh surface waves, were con-structed on results of computa ons.
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Shaidurov V. V., Ins tute of Computa onal Modeling SB RAS, KrasnoyarskShchepanovskaya G. I., Ins tute of Computa onal Modeling SB RAS, KrasnoyarskThe computa onal experiment of the spherically symmetric modeling of deep-seated geodynamics
In present paper compu ng model allowing considering geodynamic process of expansion, compression, hea ng and cooling of the Earth is suggested. Dynamic of geosphere is inves gated in the context of viscous heat-conduct-ing coercible gas when density and viscosity of medium depend on me and coordinates. Suggested model allows considering not only crust and mantle of Earth but also internal structure including Earth core.Thus, in this paper dynamics of the inner structure of the Earth is described by a model of a vis-cous compressible heat-conduc ng medium in the form of the Navier-Stokes equa ons. For the discre za on of the spherically symmetric model the fi -nite element method is used. The method is shown turned out to be highly sensi ve to the state equa on used. This results in decreasing or increas-ing the radius of the Earth, smoothing the boundaries of phase, chemical, or metamorphic transi ons of the Earth’s geodynamic layers. Therefore, in addi on to the solu on of the mathema cal problems, a correct and accu-rate formula on of the state equa on on the basis of the modern no on of the substance of the Earth and its physical and chemical proper es at corre-sponding temperatures and pressures is of major importance.
Sharapov R.V., Murom Ins tut of Vladimir State University, MuromSharapova E.V., Murom Ins tut of Vladimir State University, Murom
Content based link spam detec on
The Internet becomes not only means of informa on recep on and dialogue, but also business dealing means. The site fi nding by the most popular search queries and site posi on in list of search results is an actual problem for the site owners. Because sites of one subjects some mes happens too much, and everyone wishes to be at top of list of search results in queries, owners use spam of search engines (web spam). There is a considerable quan ty of the techniques, used to web spam. We will consider one of them – a link spam.The increase in a links number at sites became one of the basic methods of search engines manipula on. Manipula on scales constantly grow. If several years ago the basic way was the so-called exchange of links which was spent manually now to it on change various ways of automa c placing of links have come. It is possible to allocate some variants of such placing:
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1. Use of specialized programs for automa c addi on of links in catalogues, guest books, forums etc.2. Purchases of links at adver sing brokers.With the fi rst variant search engines have learnt to struggle, revealing re-sources where there is a possibility of simple, not moderated addi on of links. The weight of links from such resources strongly decreases. Placing of links with use of adver sing brokers represents much big problem for search engines.Now in Russian segment the Internet operates about ten the large adver s-ing brokers who are engaged in sale of text links. Only one of them, Sape.ru, has possibility to place the links on more than 55 million pages. In spite of fact that links in such systems name “adver sing”, their main objec ve - not adver sing for the purpose of a rac on of visitors (links take places o en in the most impercep ble places of page and their user simply does not no ce), and improvement of the posi on in search engines. Cost of such “adver s-ing” also happens o en nominal, some mes only 0.01$ for a month of plac-ing.In what the basic danger of the large-scale reference spam, observed the last some years? Danger consists that links are ac vely used by modern search engines for ranging of search results. With links it is connected concepts of the Quote Index in Yandex and defi ni on PageRank in Google. The mass in-crease in links of an unnatural origin (link spam) can strongly “spoil” effi cien-cy of their job. The situa on becomes complicated that “paid” links can take places on any sites including on very dear and popular resources. Thus, there is impossible a simple division of pages on “good” and pages for link spam.Detec ng of Link spamLet’s consider signs of defi ni on paid links:1. The links noted as adver sing. For this purpose it is necessary to see link vicinity (the text, adjoining to the link). Signs of paid link - words: “Adver s-ing”, “Sponsors”, “Our Partners”, etc. 2. The big block of links. The raised density of links on a small site of page (block of links) can tes fy to their unnatural origin.3. Links to agencies on sale of links/adver sing. O en near to adver sing blocks it is possible to see links to adver sing brokers.4. On a site there is informa on on how it is possible to buy links. If on site or about the block of links such informa on contains, then links are paid.5. Thema c affi nity of link. If text of link or site subjects on which the link strongly conducts diff ers from page subjects on which the link is located it is possible to consider the link as a spam.However defi ni on of link subjects not always is a trivial problem. The link can se le down in the off er (though and not to be a part of body page text). Therefore to be guided by the text in immediate proximity to the link it is not always jus fi ed.
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O en links specify in a resource with enough general subjects (for example, at references to the source of news or a site of the author of any ar cle).For correct defi ni on of link subjects deep analysis site subjects on which link conducts can help. This problem diffi cult also demands me considerable quan ty.6. Thema c affi nity of next links. For this purpose it is necessary to analyze subjects of group links placed on page. If links are not thema c and have dis-order of subjects, they are adver sing.7. The loca on of links. For this purpose it is necessary to analyze an arrange-ment of links on page. Than further the link from the basic maintenance of page, it is especially probable, that they are adver sing. For example, o en such links take places in the bo om of page or in the right column when the body text se les down in the middle.8. Code of links. Many automated systems of links placing (stock exchange, exchangers, brokers) establish code automa cally on template. Presence of iden cal links block on code can specify in their spam origin.9. Dynamism/ me of links life. Frequent change of links on pages without change of other maintenance can tes fy to their unnatural origin. Links can or disappear for a while simply from pages (in case of malfunc ons of systems on automa c placing of links), or their part can be replaced with new links.10. The message on paid links. Compe tors, the former buyers of links, the former employees can inform on paid links.11. Viewing of page by person. Viewing of pages by a moderator and detect link spam manually.Algorithm of link spam detec onNow we will consider the algorithm, capable to detect spam links. It consists of several stages.Stage 1: Forma on of a preliminary set of spam links S. The set is formed of following references:• chosen manually;• defi ned by algorithm early, as spam;• defi ned by analysis of adver sing brokers code.The greatest interest represents last way. Some adver sing brokers have dis- nc ve features in placing of codes which could help to iden fy.
One more method consists in tracing of dynamics of change of the mainte-nance of page. If during me for page the group of links this group can be paid links changes only.It is necessary to no ce, what not all links defi ned by algorithm as a spam should be brought in set S but only what signs of a spam have obviously ex-pressed character (to exclude casual hit of links in the spam category).At a stage 1 it is possible to use various algorithms classifi ca on and machine training.Stage 2: Detec on of spam links on the basis of page content. The basic idea
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consists in the analysis of page content and detec ng of spam signs. For each spam sign the foul shot is imposed on the link qi. If the total foul shot exceeds a certain threshold, the link admits a spam.Step 1. The page is scanned on presence of links Sb, put into list S generated at the Stage 1. At detec on of such links the area round them is scanned. If links are found out, it is appointed a foul shot q1 which size decreases in pro-cess of removal from link Sb.Step 2. The page is scanned on presence of signs of the adver sing block. As a sign can serve words “Adver sing”, “Sponsors”, “Our Partners” etc. At detec on of adver sing block signs, to links in its vicini es is appointed a foul shot q2.Step 3. The page is scanned on presence of links to the adver sing broker. At detec on of such signs of the adver sing block, to links in its vicini es it is appointed a foul shot q3.Step 4. The page is scanned on presence of informa on on sale of links (and about what can be bought). At detec on of such signs, to links in their vicini- es it is appointed a foul shot q4.
Step 5. Page is scanned on presence of the big block of links. If the quan ty of links in the block more than a certain threshold, is appointed it a foul shot q5.Step 6. Links are scanned on signs of a code of the adver sing broker in case of which detec on to links it is appointed a foul shot q6.Step 7. Conformity of subjects of the link and the general subjects of page is checked. In case of discrepancy, the link it is appointed a foul shot q7. For subjects check o en happens simply enough to scan the page text on coinci-dence of words to the link text.Step 8. Conformity of subjects of the link and subjects of links in its vicini es is checked. In case of discrepancy, the link it is appointed a foul shot q8.Step 9. The place of placing of the link is checked. If the link is in the end of page, to it is appointed a foul shot q9.Stage 3. The analysis of site structure for the purpose of spam reveal-ing. This stage is the most diffi cult. Its purpose - to reveal features of structure of a site and a place on pages where there are “paid” links.For this purpose from site pages all changing content (except links) leaves. Further associa on of pages with an iden cal template in clusters is made. The following stage: for each cluster repea ng links leave and areas where links vary on everyone cluster pages are iden fi ed. For the links entering into such areas it is appointed a foul shot qr.Stage 4. For each link all added foul shots are summarized. If the sum exceeds a certain threshold, the conclusion, that the link is spam. In this case the link is put into list S.ResultsThe off ered algorithm shows good results in defi ni on of spam links. Preci-sion of algorithm is 0.94, Recall - 0.89.
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Shigarov A.O., Ins tute for System Dynamics and Control Theory SB RAS, Irkutsk
A system for an automa on of extrac on of table informa on from docu-ments of various formats
For the purpose of solving many research and applied problems it is necessary to extract data from the tables contained in various documents. The paper discusses the system for an automa on of extrac on of the tabular informa- on from documents of various formats. Unlike exis ng systems of extrac on
of the tabular informa on the proposed system uses the Enhanced metafi les as the input data. It allows applying this system to documents presented in various formats, for example, DOC, XLS, PDF, the ASCII-text or HTML. The system provides automa c table detec on in documents, table segmenta on on separate cells, the func onal analysis of the table (defi ni on of header and data cells), and the structural analysis of the table (defi ni on of rela on-ships between cells). The extracted tabular informa on can be presented as rela on in terms of rela onal databases. The system has demonstrated high performance for table processing in scien fi c papers, the government and medical sta s cal reports, fi nancial documents.
Shokin Y.I., Ins tute of computa onal technologies SB RAS, NovosibirskKlimenko O.A., Ins tute of computa onal technologies SB RAS, NovosibirskRychkova E.V., Ins tute of computa onal technologies SB RAS, Novosibirsk
Website ranking for scien fi c & research organiza ons of the Republic of Serbia
In the present work we analyze the websites of the Republic of Serbia Aca-demic Ins tu ons using webometrics techniques. In order to determine the quan ta ve characteris cs of the web sites, we use Yandex, Google and Ya-hoo search engines. The offi cial domains of scien fi c organiza ons of Serbian Academy of Sciences and Arts and Zajednice ins tuta Srbije (ZIS) have been analyzed.
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Shokin Yu.I., Ins tute of computa onal technologies SB RAS, NovosibirskFedoruk M.P., Ins tute of computa onal technologies SB RAS, NovosibirskChubarov D.L., Ins tute of computa onal technologies SB RAS, NovosibirskYurchenko A.V., Ins tute of computa onal technologies SB RAS, Novosibirsk
Building a resource center for the Grid infrastructure
Increasing effi ciency and availability of informa onal and compu ng resourc-es is one of the key problem addressed by integra ng distributed resources into common system. The integra on is achieved through building unifi ed in-terfaces available via dedicated or public network infrastructure. One of the essen al par cipants in an integrated system is the resource provider that makes its resources accessible on demand. Resource providers may share one or more resources. Providers that share many resources of diff erent type are called Resource Centers. We defi ne the concept of a Resource Center and study possible approaches to the organiza on of the working process that run within a resource center or involve several resource centers. Further we compare the no on of a Resource Center in a Distributed Informa onal and Compu ng Environment and the well understood no on of a Collec ve Ac-cess Center. Finally we present organiza onal and technological solu ons to support the opera on of Resource Centers.
Sladkevich M., Coastal and Marine Engineering Ins tute Ltd, Haifa
Numerical Simula ons of Long Waves Processes at Coastal Zone Using Shal-low Water Model Memory Dr. A. N. Militeev (1943-2003)
Приводятся результаты совместных исследований в период 1980-1999 в области численного моделирования в рамках математической модели мелкой воды. Небольшая часть из этих результатов была ранее опубли-кована в ограниченном виде и в труднодоступных изданиях. При разра-ботке численного алгоритмы мы исходили из необходимости получения устойчивого алгоритма, обеспечивающего приемлемое решение в усло-виях резко неоднородной области с возможным образованием разрыв-ных решений и осушенных отдельных участков области. Была разрабо-тана двумерная, явная конечно разностная схема для расчета течений с любым, даже очень большим, числом Фруда при наличии разрывов большой интенсивности, а также непрерывных течений с большими из-менениями глубины. Течения подобного рода возникают, в частности, при накате длинных волн, особенно на берег со сложной топографией, при входе оползня в водоем и т.п. Было проведено моделирование на-ката на реальный берег и затопление Северо-Курильска от цунами 1952
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(1982). На базе этой схемы была разработана двумерная, двухслойная модель мелкой воды и проведено моделирование схода оползня и об-разования волны в Сарезском озере (1988). Виду того, что большая часть результатов не была опубликована и утеряна, в данной работе приведе-ны результаты новых расчетов по ранее разработанным алгоритмам и приведены сравнения с имеющимися результатами расчетов и измере-ний. Представлены результаты тестовых задач распада разрыва на гори-зонтальном и наклонном дне, моделирование оползня, входа оползня в водоем и образование длинных волн. Приведены результаты моделиро-вания оползня Vaiont (October 9, 1963).
Smagin S. I., Compu ng Center FEB RAS, Khabarovsk
On numerical methods for solving diff rac on problems in integral state-ments
Numerical simula on problems of spreading and sca ering processes of waves of various physical nature in unlimited areas with three-dimensional inclusions are considered.For developing eff ec ve algorithms of numerical solving of such problems integral statements of these problems can be used. In this case solu ons are searched in the form of integrals of poten al type, defi ned on the inclusion boundary. They should sa sfy corresponding equa ons for oscilla ons inside and outside the inclusion, and also to comply with condi ons in infi nite for the waves refl ected from the inclusion. Unknown integrands (densi es) are determined from contact (conjuga on) condi ons for wave fi elds on inclu-sion boundary.At such approach there are no essen al dis nc ons between interior and ex-terior boundary value problems as well as boundary-contact problems. Along with lowering of dimensions of ini al problems it allows to reduce a quan ty of required func ons, and also to reduce the same problem to integral equa- ons with various proper es. In this work the solu ons of ini al problems
are searched in a form of such combina ons of integrals of poten al type which allow to reduce them to two diff erent weakly singular integral equa- ons of I or II kind with one unknown density, each of which taken separately
is equivalent to the ini al problem. Approximate solu ons of ini al problems are searched by approxima on of the men oned integral equa ons by lin-ear algebraic equa on systems and their numerical solving. In this case for approxima on of integral operators with power singulari es in kernels the method of averaging of such kerns, coordinated with sampling step, is used, which allows to create rather simple and exact computa onal algorithms.
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Outcomes of theore cal researches of the developed algorithms and com-pu ng experiments for three-dimensional diff rac on (transmission) prob-lems of acous c, elas c and electromagne c waves are described.The work was carried out under fi nancial support of the RFFI and FEB RAS (grants 08-01-00947, 09-I-P2-01).
Stamenkovic N., Faculty of Science and Mathema cs, Kosovska MitrovicaStojanovic V., Faculty of Science and Mathema cs, Kosovska Mitrovica
Signal processing simula on based on the residue number system
Signal processing simula on based on residue number system in program package MATLAB is shown in this paper. Digital signal processing, based on residue arithme c’s, allows high speed signal processing that consist only op-era ons of addi on and mul plica on. In the course of signal processing op-era on of division and condi on code in the suggested arithme c opera ons should be avoided. Program package MATLAB does not contains so ware for signal processing simula on in residue number system. Goal of this paper is development of so ware for signal processing simula on in MATLAB, with 31st order fi nite impulse response fi lter based on residue number system. So ware should consist MATLAB func ons for basic opera ons in residue number system , as well as func ons for conver ng numbers from fi xed point to integer and contrariwise. Results of fi lter response for unitary array and simply periodic func on are shown.
Starchenko A.V., Tomsk State University, TomskBart A.A., Tomsk State University, TomskBelikov D.A., Tomsk State University, TomskDanilkin E.A., Tomsk State University, Tomsk
Mesoscale models for urban air quality research with high resolu on
The results of applica on of developed meteorological and photochemical mesoscale models for numerical predic on of aerodynamics, physical and chemical processes above a city are presented. The main features of the meteorological model are possibility of explicit representa on of some spe-cifi c for urban territory (‘heat iceland’) atmospheric phenomena and taking
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into account interac on between boundary layer and surface with specifi c roughness and heat transfer for urban obstacles. The photochemical model has horizontal resolu on up to 500 meters and allows predic ng in detail infl uence of turbulent structure of an atmospheric boundary layer on trans-port and dispersion of primary and secondary pollutants in an urban air. Also it has both reduced kine c schemes, modeling genera on of troposphere ozone and more complicated schemes, taking into account tens of chemical and photochemical reac ons between pollutants. The considered mesoscale models are numerically realized with supercomputers. These models are used to analyze infl uence of meteorological condi ons and features of un-derling surface on genera on and development of atmospheric circula ons and pollu on transport above idealized and real urbanized territories and forma on of secondary pollutants near ci es.
Starchenko A.V., Tomsk State University, TomskTrunov A. A., Tomsk State University, TomskTurchanovsky I. Yu, Ins tute of High Current Electronics, TomskShklyaev V. A., Tomsk State University, Tomsk
A parallel par cle-in-cell code for charged par cle beam dynamics simula- on
A parallel electromagne c par cle-in-cell code (PIC) in (r-z) geometry for charged par cle beam dynamics simula on was developed.Finite diff erence me domain method (FDTD) is used to solve Maxwell equa- ons. Staggered on half-step in space and me Yee meshes provide second-
order approxima on in space and me. Widespread Boris’s algorithm for cy-lindrical coordinates based on leap-frog method is used for solving par cle mo on equa on. Boris’s algorithm also provides second-order approxima- on and conserves momentum of par cle. A second-order, exact charge-con-
serving algorithm for accumula ng charge and current on spa al grid is used.Since the me for electromagne c fi eld computa on much less than the me for solu on of par cles mo on equa ons at exploited par cles and grid cells amounts, we parallelized only par cles handling.A parallel par cle-in-cell algorithm was developed within single program - mul ple data paradigm (SPMD). We used Fortran 90 programming language with Message Passing Interface library (MPI) for the algorithm implementa- on.
A new dynamic load balance scheme was proposed for the parallel program performance improvement. Its core idea is to distribute injected on new me-step par cles among processes so that to equalize par cle quan es at
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each process, i.e. the process with a minimal amount of par cles gets maxi-mal amount of par cles to be injected on the new me-step.We illustrate the applica on of the proposed approach on the simula on of the thin tubular magne zed monoenerge c electron beam transporta on in equipoten al cylindrical dri channel. Obtained solu on on the Skif Cyberia Cluster at Tomsk State University shows a good agreement with solu on of the same task using well-known PIC codes OOPIC and KARAT and with ana-ly cal solu on.Performance tests show good effi ciency defi ned as ra o of parallel program real accelera on to theore cal accelera on, calculated according to the Am-dahl law.
Cherniakova N.A., Ins tute of Computa onal Modelling SB RAS, Krasnoyarsk
Use of the Monte-Carlo analysis for reliability assessments of structure elements
In this study, reliability assessment of structures by Monte-Carlo analysis is considered. Distribu on func ons of durability and structure opera onal safety under certain exploit condi ons are taken as parameters for reliability calcula on. It is assumed that the source of failure is a crack of random size. Loads and material proper es are also considered to be stochas c with known probability density func ons. Calcula on model for the crack growth rate is defi ned by a modifi ed Volkov-Mikheev’s empirical rela onship, which variables are assigned by a random number generator at given probability distribu on laws. Calculated are the es mates for sta s cal reliability of structure elements with growing cracks (typical weld joints, pressure vessels, handling facili es, main pipelines).
Valjarevic A., Faculty of Science and Mathema cs, Kosovska MitrovicaRadovanovic D., Faculty of Science and Mathema cs, Kosovska MitrovicaBirovljev N., Primary school “Gavrilo Princip”, Beograd
Applica on of Geographical informa on system on the maps
Communica on, through ages of civiliza on is based on signs. A human knew to draw before he could write, and he represented his surrounding through
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things from nature. Man transforms the objects from nature into symbols, thanks to his ability for visualiza on. Modern cartography is defi ned as a sci-ence of transfer of graphical informa on, and the chart as an informa onal channel. Language of a cart is graphics, and cartography symbols are graphic elements. Map is a graphic-visual model of the space and cartography com-munica on is graphic-visual communica on. Then Gographical informa on system is necessary for processing more and more informa ons. Today is age of digital maps.
Varygina M.P., Institute of Computational Modelling SB RAS, KrasnoyarskSadovskii V.M., Institute of Computational Modelling SB RAS, Krasnoyarsk
Parallel Computa ons in the Problems of Dynamics of the Cosserat Con- nuum
Mathema cal model of the Cosserat con nuum can be applied for the de-scrip on of stressed-strained state of composites, grained, powdered and granular media. It implicitly includes the small parameter that characterizes the size of par cles in the microstructure of material. So, in order to obtain correct numerical solu ons it is necessary to perform computa ons on grids whose mesh size corresponds to this parameter. To solve 3D dynamic prob-lems, parallel algorithms occur to be eff ec ve, which allow to distribute the computa onal load among a large number of processors, and use fi ne grids thus improving the accuracy of numerical solu on.For numerical modeling of the propaga on of stress and strain waves in the framework of the Cosserat elas city theory, a parallel shock-capturing al-gorithm is worked out. Two-cyclic spli ng method with respect to spa al variables and explicit monotone ENO-scheme for solving one-dimensional problems adapted to the calcula on of discon nui es are used. Parallel pro-gram system is created for numerical analysis of 3D dynamic problems on mul processor computer systems. Comparison of numerical and analy cal solu ons of the problem about propaga on of the Rayleigh surface waves in couple-stress medium was carried out. Computa ons of 3D Lamb’s problem about the ac on of concentrated load on the surface of homogeneous elas c half-space, and also the problem about the ac on of concentrated impulsive periodic load were performed.Shock waves of four types - longitudinal, transverse, torsional and rota onal waves - were recognized in the seismograms, constructed by results of com-puta ons. A dis nc ve feature of the wave fi eld in the Cosserat medium as compared with the classical linear elas city theory was found, which con-
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sists in the appearance of self-oscilla ons of rota onal mo on of par cles on waves fronts. The ques on of the parameters iden fi ca on of a couple-stress medium by the results of dynamic tes ng is discussed.This work was supported by the Russian Founda on for Basic Research (proj-ect no. 08-01-00148), by Complex Fundamental Research Program no. 2 of the Presidium of RAS (Intelligent Informa on Technologies, Mathema cal Modeling, System Analysis and Automa on) and by the Interdisciplinary In-tegra on Project no. 40 of the Siberian Branch of RAS.
Vujakovic J., Faculty of Science and Mathema cs, Kosovska MitrovicaRajovic M., Faculty of Mechanical Engineering, Kraljevo
An idea for determina on of zeros loca ons of complex diff eren al equa- ons
Ques on of evalua on of number of zero en re solu ons of analy cal dif-feren al equa ons is very old and very important ques on regarding the range of solu on increase and coeffi cient range. Ques on of loca on of zeros is closely related to evalua on of zeros number. It is prac cal ques on, be-cause the zeros of analy cal solu ons of analy cal diff eren al equa ons are isolated. This paper presents that the basic problem is the determina on of fundamental Sturm’s zeros of ordinary linear diff eren al equa ons of second and fourth order. The following authors: D. Dimitrovski, M. Rajovic, M. Lekic, S. Cvejic, V. Rajovic and A. Dimitrovski have already presented criterion and algorithms through simple geometrical procedures for these zeros.
Vukovic M., Faculty of Science, Pale
Krasner’s and Vukovic’s Paragradua ons
In our papers ([4], [5], [6]) and monograph “Paragraded structures” (groups, rings, moduls) [7], Marc Krasner and myself developed a theory of paragrad-ed structures which generalises the theory of graded structures as is exposed in Bourbaki [1], as well as the previous Krasner’s [3] and M. Chadeyras’s [2] results.Star ng from Bourbaki’s and Krasner’s classic graded structures (groups, rings, moduls), which compose the categories that are not closed with respect to direct and cartesian product, we introduced algebraic structures
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wich have the property of closure and called this structures paragraded. But, this is true only in trivial case for the graded groups, that is to say when there is only one of the star ng groups with the star ng groups with the trivial gradua on. Therefore, the achieved results jus fy the obtained generalisa on. I shall talk about some new results and open ques ons.References: [1] Bourbaki, N., Algèbre, Glava I, Hermann et Cie, Paris, 2 e edit., 3 e edit. 1958. [2] Chadeyras, M.,Essai d’une théorie noetherienne homogène pour les anneaux commuta fs dont la gradua on est aussi générale que possible, Bull. Soc. Math. France, Supplément, Mémoire No. 22 Paris (1970), 1-143. [3] Krasner, M., Anneaux gradués généraux, Colloque d’algèbre, Renns (1980), 209-308. [4] Krasner, M. and Vuković, M., Structures paragraduées (groupes, anneaux, mod-ules) I. Proc. Japan Acad., Ser. A, 62, (1986), No. 9, 350-352; [5] Krasner, M. and Vuković, M., ibd. II : 62 (1986), Ser. A, No. 10, 389-391; [6] Krasner, M. and Vuković, M., ibd. III: 63 (1987), Ser. A, No. 1, 10- 12. [7] Krasner,M. and Vuković, M., Structures paragraduées (groupes, anneaux, modules), Queen’s Papers in Pure and Applied Mathema cs, No.77, Kingston, Ontario,Canada, Queen’s University (1987), 163 p.
Yakubailik O. E., Ins tute of Computa onal Modeling SB RAS, Krasnoyarsk
Geospa al Web informa on system for environmental monitoring in the area of oil and gas industry
Исследования мониторинга состояния окружающей природной среды в зоне действия предприятий нефтегазовой отрасли Красноярского края начались в Сибирском федеральном университете в 2008 году, при поддержке Министерства природных ресурсов и лес-ной отрасли Красноярского края. Основное внимание на данном этапе уделяется задачам оценки современного состояния компонентов окружающей природной среды, оценки эффективности действующих систем производственного экологического мониторинга, оценки потенциальных экологических рисков в районах размещения объектов нефтегазовой отрасли Красноярского края, и проч. Важной составной частью этих исследований является проектирование и реализация геоинформационной Интернет-системы экологического мониторинга, которая должна стать интегрирующей информационной основой проекта. Ее задачами являются организация технологической среды для
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интеграции формируемых в процессе мониторинга информационных ресурсов, решение задач информационного взаимодействия пользо-вателей, создание централизованной базы геопространственных данных, набора интерфейсов и сервисов для визуализации и аналитической обработки накапливаемой информации, тематических веб-приложений. Реализация системы основана на открытом и свободном программном обеспечении ГИС.В статье рассматриваются требования к системе, ее технологиче-ская основа, различные программно-технологические аспекты реализации. Созданная первая версия системы построена на основе свободно распространяемых технологий и программного обеспечения (open source). Для хранения данных использована СУБД PostgreSQL 8.x с модулем PostGIS. Основным программным языком для разработки выбран язык сценариев PHP 5.x. В разработке был использован ряд сторонних программных библиотек и модулей – Ext2js, TinyMCE, HTML_MetaForm, Smarty, PEAR, Zend Framework, и др.Текущая версия системы доступна в Интернет на веб-портале «ГИС мониторинга состоя-ния окружающей природной среды в зоне действия предприятий нефтегазовой отрасли Красноярского края» (h p://ecomo-nitoring.sfu-kras.ru/).
Yakubailik T.V., Ins tute of Computa onal Modelling SB RAS, KrasnoyarskKompaniets L.A., Ins tute of Computa onal Modelling SB RAS, Krasnoyarsk
On some analy cal solu ons for the model of the wind-induced mo on of the viscous incompressible liquid (the case of three dimensions)
Рассматривается трехмерное стационарное ветровое движение одно-родной жидкости в замкнутом бассейне [1]. Предполагается, что нели-нейными членами в уравнениях движения можно пренебречь, на дне ставится условие проскальзывания, коэффициенты турбулентного обмена постоянны.Известны аналитические решения для дрейфовой и геострофической составляющей течения в случае, когда членами с горизонтальной вязкостью можно пренебречь (модель Экмана) [2].В настоящей работе рассмотрена общая постановка задачи для трехме-рного течения вязкой жидкости. Получено аналитическое решение как для дрейфовой, так и для геострофической составляющей скорости
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течения в бассейне прямоугольной формы. Решение для комплексной скорости имеет довольно простой вид, позволяет легко проводить анализ изменения величины и направления скорости потока по глубине водоема в зависимости от ветрового воздействия, коэффициентов верти-кального и горизонтального турбулентного обмена.Найденные решения могут быть полезны при проверке работоспособности численных алгоритмов, предназначенных для расчета ветровых течений однородной и неоднородной жидкости [3]Литература:1. Саркисян А. С. Моделирование динамики океана. СПб: Гидрометеоиздат, 1991.2. Компаниец Л. А., Якубайлик Т. В., Гаврилова Л. В., Гуревич К.Ю. Модели экмановского типа в задачах гидродинамики - Новосибирск, Наука, 2007. 156 с3. Добровольская З. Н., Епихов Г. П., Корявов П. П., Моисеев Н. Н. Математические модели для расчета динамики и качества сложных водных систем // Водные ресурсы. 1981. №3. С. 33-51.
Zakharov Y.N., Kemerovo State University, KemerovoGeidarov N.A., Kemerovo State University, Kemerovo
About gradient extension of successive over relaxa on method of solu on of system of linear and nonlinear algebraic equa ons
SOR method is used for solu on of system linear algebraic equa ons suc-cessfully. The reason of this is both simplicity of realiza on and high rate of convergence in a case of precise assignment of op mal itera on parameter. Using of nonop mal parameter appreciably decrease rate of convergence of SOR method. Itera on methods of solu on of system linear algebraic equa- ons and system bilinear algebraic equa ons have been considered in this
paper. These methods are SOR in linear case and - successive over and block relaxa on method in nonlinear case. Constant itera on parameter is replaced by diagonal matrix of parameters in these itera on schemes. Elements of this matrix are selected based on sequen al minimums of error func onal. Higher rate of convergence for our scheme than for SOR method is proved in linear case. Monotone decrease residual vector norm for general ini al data is proved in nonlinear case. It may be showed nonlinear successive over re-laxa on method converge in case of restric on on nonlinear system operator. Our calcula ons show high effi ciency of these methods.
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Zakharov Y.N., Kemerovo State University, KemerovoGeidarov N.A., Kemerovo State University, Kemerovo
Stability of solu on of sta onary viscous incompressible fl uid fl ow pro-duced by a given pressure drop problem
It’s considered mostly two problem defi ni ons for Navier-Stokes equa on set which has been wri en rela ve to velocity and pressure. One of them is most popular and consists in adherence condi ons demanding on solid walls and velocity demand on fl ow boundary parts. Second problem defi ni on consists in pressure demanding on fl ow boundary parts, so that fl ow is realized for pressure drop. In this paper we present the results of research of one-valued numerical solvability and stability of channel fl uid fl ow pressure drop prob-lem.
Zakharov Y.N., Kemerovo State University, KemerovoIvanov K.S., Kemerovo State University, Kemerovo
Numerical simula on of three-dimensional non-sta onary Navier-Stokes equa on using «rota on - vector poten al» formula on
The me-depended incompressible Navier-Stokes equa ons in three-dimen-sions are solved numerically. In the most cases this problem is formulated using the velocity and pressure variables and solved by spli ng method. The advantage of this way is the rela ve simplicity of the algorithm realiza on. However, signifi cant disadvantage of this way is diffi cul es to sa sfy to the con nuity equa on at every physical me step. This problem is discussed by many authors [1]. In this paper we propose to use «rota on - vector po-ten al» formula on. Thus, we automa cally provide the solenoidal velocity fi eld [2]. Depending on the way of the convec ve terms diff erencing the lin-ear or nonlinear numerical system of equa ons is formed at every physical me step. The system is solved using the parallel minimal residuals itera ve
method with the mul parametric op miza on based on the componentwise minimiza on of the approximate solu on residual norm [3]. The method al-lows solving the linear and nonlinear algebraic systems of equa ons requir-ing only a minimum of informa on about the system operator. For example, in case of the linear system of equa ons it doesn’t require that the system operator must be symmetric or fi xed sign. Proposed solving method converg-es suffi ciently fast for any star ng data. Also the convergence accelera on procedure can be applied to it that increases the effi ciency of the method convergence process. The comparison of numerical solu on results with lab-
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oratory experiments is given.References:1.Roache P. Computa onal fl uid dynamics M, 1980.2.Belolipetsky V.M., Kostjuk V. Yu., Shokin Yu. I. Mathema cal modeling of the stra -fi ed fl uid fl ows N. 1991.3.Zakharov Y.N. Gradient itera ve methods for the solving of hydrodynamic prob-lems N., 2004.
Zakharov Y.N., Kemerovo State University, KemerovoZelensky E.E., Kemerovo State University, KemerovoPotapov V.P., Kemerovo State University, KemerovoSchstlivtsev E.L., Kemerovo State University, KemerovoTolstykh M.A., Kemerovo State University, Kemerovo
About One Model Of Underground Cjal Gasifi ca onThe idea of underground gasifi ca on of coal has been stated more than a century ago to known Russian scien sts D.I.Mendeleyew at research of the underground fi res which have arisen from self-igni on of coal in Urals Mountains. D.I.Mendeleyew wrote « Concerning these fi res of coal layers to it seems to me that it’s possible to use them, governing them and correct-ing the ma er so, that the combus on would occur as in a generator, i.e., at access of a few air». This statement has put ini ally possibility to control combus on condi ons, so, ar burning and its products take place in a closed (isolated) volume. Actually, the burning occurs in the process involving many components of the natural environment, these components in the combus- on process are undergoing signifi cant changes. The two-dimensional mod-
el of underground gasifi ca on of coal is represented in a work we present. Let the coal layer lies on certain depth under a surface of the earth and has the set capacity. A high-temperature center is created in the fuel. There is a source of oxidizer on one of the boundaries, and a drain for the yield of gas on another boundary. As a result of that, there is an exothermic chemi-cal reac on of decomposi on occurring in the fuel, witch goes according to the diagram v1A1=v2A2+v3A3, where A1, A2, A3 - symbols of the fuel, the condensed product (coke) and a gaseous phase accordingly, vi, i=1,2,3 - the stoichiometric coeffi cients of these products. The mass fl ow rate of reac on is determined by Arrhenius’s law. The formed coke enters reac on of oxida- on with the oxygen, arriving from a source on a border of the center of
burning. There are equa ons, wri en for the volumetric propor on of the fuel, coke and the gaseous phase, witch describe their changes over me. A temperature distribu on in the thickness of breed and coal, taking into ac-count their heterogeneity and heat exchange with external environment, is described by the heat conduc vity equa on, coeffi cients of which depend on
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spa al coordinates, me and from mass frac ons of fuel, coke and gas. As a result, we get a system of the nonlinear diff eren al equa ons, describing a process of coal gasifi ca on.
Лямина В.А., ИГМ СО РАН,Зольников И.Д., ИГМ СО РАН,Королюк А.Ю., ЦСБС СО РАН,Добрецов Н.Н., ИГМ СО РАН,Смоленцев Б.А., ИПА СО РАН (Новосибирск),Глушкова Н.В., ИГМ СО РАНКартографирование и мониторинг гетерогенных ландшафтов методами ГИС и ДЗ
В статье представлена комплексная технология картографирования и мониторинга гетерогенных ландшафтов с использованием методов дистанционного зондирования и геоинформационного моделирования. Разработка и апробация комплексной технологии проводилась на эталонном полигоне «Касмалинский бор», который представляет сложный комплекс сосновых лесов и травяных ландшафтов юго-западной части Алтайского края. Ленточные боры степной зоны юга Обь-Иртышского междуречья – уникальное природное явление. Они формируют серию вытянутых в северо-восточном направлении лент, занимающих ложбины. Данные ландшафты имеют сложную пространственную структуру почвенно-растительного покрова, что делает их привлекательными для анализа гетерогенных ландшафтов разных иерархических уровней.Предлагаемая технология реализуется однотипно для космических снимков всего масштабного ряда (MODIS, Landsat, QuickBird) и соответственно для всех уровней организации наземных экосистем. Эта технология позволяет анализировать гетерогенные ландшафты со сложной пространственной организацией методами ГИС и ДЗ. Она базируется на использовании баз геоданных, включающих унифицированные по междисциплинарному стандарту геолого-геоморфологические, почвенные и ботанические характеристики наземных экосистем. Комплексная технология включает обработку космоснимков разного пространственного разрешения методами управляемых классификаций, а также плотностной анализ территориальных неоднородностей с использованием сеточных моделей (с использованием программных пакетов ENVI и ArcGIS). Выделение ландшафтов на основе обработки
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космоснимков и геоинформационного моделирования позволяет картографировать не только гомогенные, но и гетерогенные наземные экосистемы, а также вести мониторинг их динамики, поскольку изменения удельных площадей элементов гетерогенных ландшафтов и пограничных образований являются чувствительными индикаторами изменений глобальных и региональных экологических факторов.Работа выполнена в рамках проекта «Разработка системы комплексной индикации процессов опустынивания и оценка современного состояния экосистем Сибири и Центральной Азии», а также при поддержке Российского фонда фундаментальных исследований (гранты 09-05-00732, 08-04-00055).
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SADRŽAJ
Organizatori konferencije 3
Teme Konferencije 4
Programski odbor 5
Plan rada konferencije MIT 2009 - Kopaonik 11
Plan rada konferencije MIT 2009 - Budva 12
Radne grupe 17
Plan ak vnos na Kopaoniku i Budvi 20
Raspored ak vnos po objek ma 23
Raspored izlaganja plenarnih radova 25
Raspored izlaganja sekcionih radova 28
Raspored prezentacije postera 38
Raspoored sala u hotelu “Sunčani vrhovi” 41
Apstrak 44
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