Using two types of computer algebra systems to solve maxwell optics problems

To synthesize Maxwell optics systems, the mathematical apparatus of tensor and vector analysis is generally employed. This mathematical apparatus implies executing a great number of simple stereotyped operations, which are adequately supported by computer algebra systems. In this paper, we distinguish between two stages of working with a mathematical model: model development and model usage. Each of these stages implies its own computer algebra system. As a model problem, we consider the problem of geometrization of Maxwell’s equations. Two computer algebra systems—Cadabra and FORM—are selected for use at different stages of investigation. © 2016, Pleiades Publishing, Ltd.

Авторы
Редакторы
-
Издательство
-
Номер выпуска
2
Язык
Английский
Страницы
77-83
Статус
Опубликовано
Подразделение
-
Номер
-
Том
42
Год
2016
Организации
  • 1 Department of Applied Probability and Informatics, Peoples’ Friendship University of Russia, ul. Miklukho-Maklaya 6, Moscow, 117198, Russian Federation
  • 2 Laboratory of Information Technologies, Joint Institute for Nuclear Research, ul. Zholio-Kyuri 6, Dubna, 141980, Russian Federation
Ключевые слова
Maxwell equations; Problem solving; Computer algebra systems; Different stages; Mathematical apparatus; Model development; Model problems; Optics systems; Vector analysis; Algebra
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/3994/