On Numerical Methods for One Problem of Mixed Type
2001-12-12 00:00:00
This article is devoted to further investigation of numerical methods for one differential problem of mixed type.
Номер статьи
7345
Название на английском языке
On Numerical Methods for One Problem of Mixed Type
Язык (русский, белорусский, английский)
Английский
Автор(ы) на английском языке
S.Sytova
Организация на английском
Institute for Nuclear Problems, Belarusian State University
Аннотация на английском языке
This article is devoted to further investigation of numerical methods for one differential problem of mixed type. We consider a two-dimensional first-order differential equation with one complex-valued and one real constant coefficients. So, we have an elliptic problem with respect to the first argument and a hyperbolic problem with respect to the second one. The equations of such type are generalized transfer equations. Firstly, in this paper the correctness of the problem stated is discussed. Secondly, possible difference scheme of the multicomponent modification of the alternating direction method is proposed. Its stability and convergence is investigated. Results of numerical experiments on modelling of nonlinear regime of surface volume free electron laser are analyzed.
Ключевые слова на английском языке
volume free electron laser, surface scheme, simulation
Дата публикации
2001-03-01
Количество страниц, число рисунков, число таблиц
6
Библиографические данные
Mathematical Modelling and Analysis. 2001. Vol. 6, № 2. P. 321–326.