First All-Union School of young scientists “Numerical Methods of Solving Problems of Mathematical Physics”

1975 ◽  
Vol 15 (3) ◽  
pp. 258-259
Author(s):  
A.N. Chekalin
Keyword(s):  
Numerical Methods ◽  
Mathematical Physics

NEW PROPERTIES OF QUASIPERIODIC SOLUTIONS OF THE COMPLEX GINZBURG-LANDAU EQUATION

1992 ◽  
Vol 02 (04) ◽  
pp. 955-972 ◽  
Author(s):  
TATIANA S. AKHROMEYEVA ◽  
GEORGE G. MALINETSKII ◽  
ALEXEY B. POTAPOV ◽  
GEORGE Z. TSERTSVADZE
Keyword(s):  
Numerical Methods ◽  
Initial Data ◽  
Landau Equation ◽  
Mathematical Physics ◽  
Ginzburg Landau ◽  
New Class ◽  
A Value ◽  
Ginzburg Landau Equation ◽  
New Type ◽  
No Fluxes

By using analytical and numerical methods the authors study one of the basic models of mathematical physics—the so-called complex Ginzburg-Landau equation [Formula: see text] with the provision that no fluxes exist at the segment boundaries. A new class of solutions is found for this equation. It is shown that among its solutions there are analogs of limiting cycles of the second kind. A value describing these analogs is introduced, and a scenario of its variation depending on the parameters of the problem is given. A new type of spontaneous appearance of symmetry is shown when we go from initial data in the general form to spatially symmetrical solutions describing quasiperiodic regimes.

scholarly journals AUTOMATION OF CONSTRUCTION OF A SCHEME FOR SOLVING COMPUTE- INTENSIVE PROBLEMS OF MATHEMATICAL PHYSICS ON SUPERCOMPUTERS

2022 ◽  
pp. 50-59
Author(s):  
Борис Михайлович Глинский ◽  
Анна Федоровна Сапетина ◽  
Алексей Владимирович Снытников ◽  
Галина Борисовна Загорулько ◽  
Юрий Алексеевич Загорулько ◽  
...  
Keyword(s):  
Numerical Methods ◽  
Semantic Web ◽  
Mathematical Models ◽  
Mathematical Physics ◽  
Subject Area ◽  
Problem Area ◽  
Parallel Architectures ◽  
Semantic Web Technology ◽  
Parallel Code ◽  
Analytical System

В статье представлен подход к разработке информационно-аналитической системы, помогающей исследователю решать вычислительно сложные задачи математической физики на суперкомпьютерах. Система автоматически строит схему решения задачи по спецификации пользователя, введенной им в режиме диалога. Схема включает наиболее подходящие математические модели для решения задачи, численные методы, алгоритмы и параллельные архитектуры, ссылки на доступные фрагменты параллельного кода, которые пользователь может использовать при разработке собственного кода. Построение схемы осуществляется на основе онтологии проблемной области «Решение вычислительно сложных задач математической физики», онтологии заданной предметной области и экспертных правил, построенных с использованием технологии Semantic Web. The paper presents an approach to the development of an information-analytical system that helps a researcher to solve compute-intensive problems of mathematical physics on supercomputers. The system automatically builds a scheme for solving the problem according to the user's specification entered by him in the dialogue mode. The scheme includes the most suitable mathematical models for solving the problem, numerical methods, algorithms and parallel architectures, links to available fragments of parallel code that the user can use when developing their own code. The construction of the scheme is carried out on the basis of the ontology of the problem area "Solving compute-intensive problems of mathematical physics", the ontology of a given subject area and expert rules built using the Semantic Web technology.

scholarly journals Modeling of heat transport phenomena using the equations of mathematical physics

2021 ◽  
Vol 2102 (1) ◽  
pp. 012016
Author(s):  
C Nolasco Serna ◽  
N Afanador Garcia ◽  
G Guerrero Gómez
Keyword(s):  
Numerical Methods ◽  
Heat Transport ◽  
Transport Model ◽  
Physical Phenomenon ◽  
Mathematical Physics ◽  
Research Field ◽  
Temperature Function ◽  
Equations Of Mathematical Physics ◽  
Physical Phenomena

Abstract The study of physical phenomena that include conservative principles is part of the research field of the equations of mathematical physics. To deepen in methods to solve the equations of mathematical physics is a contribution in understanding the modeling of applications in different areas. This research studies the physical phenomenon of heat transport with convection from the viewpoint of modeling with differential equations. The advantage of working with equations is to apply the techniques of mathematical analysis and numerical methods to obtain the temperature function. In the research, the solution of the heat transport model is computed according to the analytical method of separable variables in order to represent the temperature function as a trigonometric series. With the help of a simple numerical method, it is possible to derive a scheme of calculation of the temperature function. By performing a case study, the methods are compared, and their fit is verified by simulation.

scholarly journals The automated construction of a scheme for solving compute-intensive problems based on the ontological approach and Semantic Web technologies

2021 ◽  
Vol 2099 (1) ◽  
pp. 012022
Author(s):  
B M Glinskiy ◽  
A F Sapetina ◽  
A V Snytnikov ◽  
Y A Zagorulko ◽  
G B Zagorulko
Keyword(s):  
Numerical Methods ◽  
Semantic Web ◽  
Mathematical Physics ◽  
Parallel Architectures ◽  
Semantic Web Technologies ◽  
Web Technologies ◽  
Semantic Web Technology ◽  
Ontological Approach ◽  
Knowledge Area ◽  
Parallel Code

Abstract This paper describes the tools for supporting researchers in the development of a parallel code. The tools are based on the ontology of the knowledge area “Support for solving compute-intensive problems of mathematical physics on supercomputers”. The main result of these tools operation is a scheme for solving the problem, built according to its specification provided by the user. The scheme includes the most suitable mathematical models for solving the problem, numerical methods, algorithms, and parallel architectures, links to available fragments of a parallel code that the user can use when developing his own code. The scheme construction is carried out on the basis of ontology and expert rules built using the Semantic Web technology.

Numerical Methods

2019 ◽  
Author(s):  
Rajesh Kumar Gupta
Keyword(s):  
Numerical Methods
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