On one class of dynamic transportation models

Хачатрян Нерсес Карленович; Бекларян Лева Андреевич

Article

Об одном классе динамических моделей грузоперевозок

Журнал вычислительной математики и математической физики. 2013. Т. 53. № 10. С. 1649-1667.

Хачатрян Н. К., Бекларян Л. А.

A model is studied that describes the process of good transportation occurring in some technologies. Transportation regimes satisfying a given management system are examined. Such regimes are described by traveling-wave solutions to a nonlinear finite-difference analogue of a parabolic equation. Possible transportation regimes are described, and the stability of stationary regimes is analyzed.

Priority areas: IT and mathematics

Language: Russian

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Keywords: нелинейный конечно-разностный аналог параболического уравнения решения типа бегущей волны устойчивость динамические модели грузоперевозок

Выбор устойчивой формы стратегического альянса в инновационном процессе

Александровский С. В., Фоменков Д. А. Экономический анализ: теория и практика. 2011. № 48. С. 8-16.

Added: Jun 30, 2012

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

Основы теории управления

Казанский И. Н., Денисова Т. С., Володин С. М. М.: Московский государственный институт электроники и математики, 2011.

Added: Apr 12, 2012

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

Системы дифференциальных уравнений и устойчивость. Расчетные задания

Перескоков А. В., Григорьев В. П. М.: Издательский дом МЭИ, 2012.

Added: Nov 29, 2012

Признаки неколебательности и колебательности. Признаки устойчивости

Иванов А. И., Зубова А. Ф., Клемина А. В кн.: Математические методы исследования колебаний и качественный анализ систем управления. СПб.: ВВМ, 2013. С. 122-136.

Added: Feb 8, 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

XXIV Межведомственная научно-техническая конференция «Проблемы обеспечения эффективности и устойчивости функционирования сложных технических систем»: Сборник трудов

Ч. 7. Серпухов: Серпуховской ВИ РВ, 2005.

Added: Mar 25, 2014

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

Разложения решений пятого уравнения Пенлеве вблизи его неособой точки

Брюно А. Д., Парусникова А. В. Институт прикладной математики им. М.В. Келдыша Российской академии наук, 2011. № 18.

Added: Apr 18, 2012

Автоматическая обработка текстов на естественном языке и компьютерная лингвистика

Большакова Е. И., Клышинский Э. С., Ландэ Д. В. и др. М.: Московский государственный институт электроники и математики, 2011.

Added: Apr 12, 2012

Многовариантный анализ процессов прокатки на базе компьютерного моделирования

Аксенов С. А., Чумаченко Е. Н., Сырчина О. О. Вестник Воронежского государственного технического университета. 2011. Т. 7. № 11.2. С. 62-64.

Added: Apr 12, 2012

Асимптотические разложения решений пятого уравнения Пенлеве

Парусникова А. В., Брюно А. Д. Институт прикладной математики им. М.В. Келдыша Российской академии наук, 2010. № 39.

Added: Apr 18, 2012

Локальные разложения решений пятого уравнения Пенлеве

Брюно А. Д., Парусникова А. В. Институт прикладной математики им. М.В. Келдыша Российской академии наук, 2010. № 72.

Added: Apr 18, 2012

Труды ХХ Международного совещания «Радиационная физика твердого тела» (Севастополь, 5 июля - 10 июля 2010 г.)

Edited by: Г. Г. Бондаренко Т. 1-2. М.: ФГБНУ "НИИ ПМТ", 2010.

Added: Apr 12, 2012

Труды ХХI Международного совещания «Радиационная физика твердого тела» (Севастополь, 22-27 августа 2011 г.)

Бондаренко Г. Г. Т. 1-2. М.: ФГБНУ "НИИ ПМТ", 2011.

Added: Apr 12, 2012

Применение информационных и космических технологий в задачах о движении небесных объектов

Чумаченко Е. Н., Кулагин В. П., Назиров Р. Р. и др. Информатизация образования и науки. 2011. № 3 (11). С. 178-187.

One of directions of activity of the scientifically-educational centre "SPACE" created by the Moscow state institute of electronics and mathematics (technical university) and Space research institute of the Russian Academy of Sciences is discussed. The general statements of problems connected with working out of models of movement of asteroids and comets taking into account not gravitational indignations and construction of models for measurement of trajectories are considered. On a space vehicle orbit in a vicinity of libration’s points the traffic control model is discussed with application of a solar sail with operated reflective characteristics.

Added: Apr 12, 2012

Анализ методов компьютерного моделирования механических испытаний

Чумаченко Е. Н., Аксенов С. А., Борхсениус С. С. Вестник Воронежского государственного технического университета. 2011. Т. 7. № 11.2. С. 9-11.

Added: Apr 12, 2012