Тезисы докладов. Секция «Математика и механика» международной конференции студентов, аспирантов и молодых ученых «Ломоносов – 2009».

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Тезисы докладов. Секция «Математика и механика» международной конференции студентов, аспирантов и молодых ученых «Ломоносов – 2009».

М.: Издательство математико-механического факультета МГУ, 2009.

Editor-in-chief: И. Алешковский, П. Костылев, А. Андреев

Under the general editorship: Д. Р. Мартыненко

Локальная устойчивость ортотропных оболочек на упругом основании с учетом предварительных напряжений основания

Михеев А. В. В кн.: Тезисы докладов. Секция «Математика и механика» международной конференции студентов, аспирантов и молодых ученых «Ломоносов – 2009».. М.: Издательство математико-механического факультета МГУ, 2009. С. 93-94.

Added: Feb 4, 2013

Research target: Mathematics Physics

Priority areas: mathematics engineering science

Language: Russian

Keywords: shells stability fluctuations

Тезисы докладов. Секция «Математика и механика» международной конференции студентов, аспирантов и молодых ученых «Ломоносов – 2009».

Труды семинара «Компьютерные методы в механике сплошной среды», 2007–2008 г.

СПб.: Издательство Санкт-Петербургского университета, 2008.

Added: Feb 4, 2013

Локальная устойчивость сферической оболочки на упругом основании при силовом и температурном нагружении

Михеев А. В. В кн.: Шестые Поляховские чтения. Тезисы докладов. СПб.: Издательство Санкт-Петербургского университета, 2012. С. 235-235.

Added: Jan 31, 2013

Материалы V Конвента Российской ассоциации международных исследований. Мировая политика: взгляд из будущего

Братерский М. В., Голунов С., Зеличенко А. и др. Т. 5: Будущее стабильности и безопасности в регионе Центральной Азии. М.: МГИМО-Университет, 2009.

Added: Feb 10, 2013

A Numerov-Crank-Nicolson-Strang scheme with discrete transparent boundary conditions for the Schrödinger equation on a semi-infinite strip

Zlotnik A., Romanova A. V. arxiv.org. math. Cornell University, 2013. No. arxiv: 1307.5398.

We consider an initial-boundary value problem for a 2D time-dependent Schrödinger equation on a semi-infinite strip. For the Numerov-Crank-Nicolson finite-difference scheme with discrete transparent boundary conditions, the Strang-type splitting with respect to the potential is applied. For the resulting method, the uniqueness of a solution and the uniform in time L_2-stability (in particular, L_2-conservativeness) are proved. Due to the splitting, an effective direct algorithm using FFT in the direction perpendicular to the strip is developed to implement the splitting method for general potential. Numerical results on the tunnel effect for smooth and rectangular barriers together with the practical error analysis on refining meshes are included as well.

Added: Jul 24, 2013

On a family of finite-difference schemes with discrete transparent boundary conditions for a parabolic equation on the half-axis

Zlotnik A., Koltsova N. arxiv.org. math. Cornell University, 2012. No. arXiv:1211.3613 [math.NA].

An initial-boundary value problem for the 1D self-adjoint parabolic equation on the half-axis is solved. We study a broad family of two-level finite-difference schemes with two parameters related to averagings both in time and space. Stability in two norms is proved by the energy method. Also discrete transparent boundary conditions are rigorously derived for schemes by applying the method of reproducing functions. Results of numerical experiments are included as well.

Added: Jan 25, 2013

Efficient Mining of Subsample-Stable Graph Patterns

Buzmakov A. V., Kuznetsov S., Napoli A. In bk.: 2017 IEEE 17th International Conference on Data Mining (ICDM). New Orleans: IEEE, 2017. Ch. 89. P. 757-762.

A scalable method for mining graph patterns stable under subsampling is proposed. The existing subsample stability and robustness measures are not antimonotonic according to definitions known so far. We study a broader notion of antimonotonicity for graph patterns, so that measures of subsample stability become antimonotonic. Then we propose gSOFIA for mining the most subsample-stable graph patterns. The experiments on numerous graph datasets show that gSOFIA is very efficient for discovering subsample-stable graph patterns.

Added: Sep 26, 2017

Семейство разностных схем с прозрачными граничными условиями для нестационарного уравнения Шрёдингера в полуполосе

Злотник А. А., Злотник И. А. Доклады Академии наук. 2011. Т. 436. № 1. С. 19-25.

An initial–boundary value problem for the generalized Schrödinger equation in a semi-infinite strip is solved.

A new family of two level finite-difference schemes with averaging over spatial variables on a finite mesh is constructed, which covers a set of finite-difference schemes built using various methods. For the family, an abstract approximate transparent boundary condition (TBC) is formulated and the solutions are proved to be absolutely stable in two norms with respect to both initial data and free terms. A discrete TBC is derived, and the stability of the family of schemes with this TBC is proved. The implementation of schemes with the discrete TBC is discussed.

Added: Jul 5, 2012

A splitting higher order scheme with discrete transparent boundary conditions for the Schrödinger equation in a semi-infinite parallelepiped

Ducomet B., Zlotnik A., Romanova A. V. arxiv.org. math. Cornell University, 2013. No. 1309.7280 .

An initial-boundary value problem for the $n$-dimensional ($n\geq 2$) time-dependent Schrödinger equation in a semi-infinite (or infinite) parallelepiped is considered. Starting from the Numerov-Crank-Nicolson finite-difference scheme, we first construct higher order scheme with splitting space averages having much better spectral properties for $n\geq 3$. Next we apply the Strang-type splitting with respect to the potential and, third, construct discrete transparent boundary conditions (TBC). For the resulting method, the uniqueness of solution and the unconditional uniform in time $L^2$-stability (in particular, $L^2$-conservativeness) are proved. Owing to the splitting, an effective direct algorithm using FFT (in the coordinate directions perpendicular to the leading axis of the parallelepiped) is applicable for general potential. Numerical results on the 2D tunnel effect for a P\"{o}schl-Teller-like potential-barrier and a rectangular potential-well are also included.

Added: Oct 1, 2013

Региональные экономические системы и их устойчивость

Бородин А. И., Киселева Н. Н. Вестник Удмуртского университета. 2011. № 2-4. С. 3-7.

The object of study of this paper is a regional economic system which is complex, dynamic and developable by nature. The reproduction of material wealth necessary for the region is provided in the process of functioning of the above system through the interaction between the combinations of subjective (personal) and objective (material) elements, thereby meeting regional environmental and economic needs.

Added: Sep 11, 2012

Осцилляции спредов цен короткого кредита

Смирнов А. Д. Экономический журнал Высшей школы экономики. 2012. Т. 16. № 4. С. 444-463.

Added: Jan 25, 2013

Bounded limit cycles of polynomial foliations of ℂP²

Goncharuk N. B., Kudryashov Y. arxiv.org. math. Cornell University, 2015. No. 1504.03313.

In this article we prove in a new way that a generic polynomial vector field in ℂ² possesses countably many homologically independent limit cycles. The new proof needs no estimates on integrals, provides thinner exceptional set for quadratic vector fields, and provides limit cycles that stay in a bounded domain.

Added: Apr 15, 2015

Моделирование использования солнечного ветра для орбитальных маневров космического аппарата

Чумаченко Е. Н., Малашкин А. В., Федоренко А. Н. Вестник Воронежского государственного технического университета. 2011. Т. 7. № 11.2. С. 71-75.

Added: Apr 12, 2012

Спектральный анализ термоволновых колебаний в слоистых системах

Бондаренко Г. Г., Кокин М. А., Пятых Д. С. и др. Перспективные материалы. 2011. № 5. С. 91-95.

A method based on the spectral analysis of thermowave oscillations formed under the effect of radiation of lasers operated in a periodic pulsed mode is developed for investigating the state of the interface of multilayered systems. The method is based on high sensitivity of the shape of the oscillating component of the pyrometric signal to adhesion characteristics of the phase interface. The shape of the signal is quantitatively estimated using the correlation coefficient (for a film–interface system) and the transfer function (for multilayered specimens).

Added: Apr 12, 2012

Компьютерное моделирование проникновения криобота под ледяной покров Европы

Чумаченко Е. Н., Данхэм Д. У., Назиров Р. Р. и др. Вестник Нижегородского университета им. Н.И. Лобачевского. 2011. № 6 (1). С. 205-213.

Added: Apr 12, 2012

Математическая статистика

Энатская Н. Ю., Хакимуллин Е. Р. М.: МИЭМ, 2011.

Added: Apr 26, 2012

Физика для вузов. Механика и молекулярная физика

Никеров В. А. М.: Издательско-торговая корпорация «Дашков и Ко», 2011.

Added: Apr 12, 2012

Laminations from the Main Cubioid

Timorin V., Blokh A., Oversteegen L. et al. arxiv.org. math. Cornell University, 2013. No. 1305.5788.

According to a recent paper \cite{bopt13}, polynomials from the closure $\ol{\phd}_3$ of the {\em Principal Hyperbolic Domain} ${\rm PHD}_3$ of the cubic connectedness locus have a few specific properties. The family $\cu$ of all polynomials with these properties is called the \emph{Main Cubioid}. In this paper we describe the set $\cu^c$ of laminations which can be associated to polynomials from $\cu$.

Added: Oct 6, 2013

Kinetical processes in the non- equilibrium nitrogen-oxygen plasma//

Kostinskiy A., Matveev A., Silakov V. Preprint IOFAN. PL. Gen. Phys. Insth, 1990. No. 87.

Kinetical processes in the non- equilibrium nitrogen-oxygen plasma

Added: Sep 17, 2013

Введение в математическую статистику

Ивченко Г. И., Медведев Ю. И. М.: ЛКИ, 2010.

Added: Apr 12, 2012

Управление качеством информационных систем в экономике

Черников Б. В., Ильин В. В. М.: Издательский дом «Форум», 2010.

Added: Nov 29, 2012

Современные проблемы автоматизации расчётов надёжности

Жаднов В. В., Жаднов И. В., Полесский С. Н. Надежность. 2007. № 2. С. 3-12.

Added: Jan 12, 2014

Instantons beyond topological theory II

Frenkel E., Losev A. S., Nekrasov N. arxiv.org. math. Cornell University, 2008

Added: Feb 27, 2013

Системные проблемы надёжности, качества, информационно-телекоммуникационных и электронных технологий в инновационных проектах (ИННОВАТИКА - 2011). Часть 1

Ч. 1. М.: Энергоатомиздат, 2011.

Added: Feb 7, 2013

Альтернативные подходы к построению моделей измерительных приемников для виртуальных исследований в области ЭМС

Лемешко Н. В., Захарова С. С. Труды Научно-исследовательского института радио. 2013. № 1. С. 40-45.

Added: Dec 16, 2013

Разработка модели фликерметра для вертуальных исследований кондуктивных помех в электросетях

Захарова С. С., Лемешко Н. В. Труды Научно-исследовательского института радио. 2012. № 4. С. 48-54.

Added: Dec 16, 2013

Математическое моделирование социальных процессов

Edited by: А. Михайлов Вып. 14. М.: Социологический факультет МГУ, 2012.

Added: Mar 14, 2013

Conjugacy classes in discrete Heisenberg groups

Roman Budylin. arxiv.org. math. Cornell University, 2014

We study some extension of a discrete Heisenberg group coming from the theory of loop-groups and find invariants of conjugacy classes in this group. In some cases including the case of the integer Heisenberg group we make these invariants more explicit.

Added: Nov 14, 2014