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Methods of numerical solution of the Dirichlet problem for Poisson’s equation in an arbitrary number of dimensionsстатья
Дата последнего поиска статьи во внешних источниках: 28 мая 2015 г.
- Авторы: Nikolaev E.S., Samarskii A.A.
- Журнал: Doklady Mathematics
- Том: 13
- Номер: 5
- Год издания: 1972
- Издательство: Maik Nauka/Interperiodica Publishing
- Местоположение издательства: Russian Federation
- Первая страница: 1325
- Последняя страница: 1329
- Аннотация: A new difference scheme is proposed with increased (fourth)order of accuracy for Poisson's equation in a p-dimensional parallelepiped having the strong elliptic property for any p ≥ 2. For the solution iterative methods of variable directions are applied, and the alternate-triangular method with Chebyshev and cyclic families of parameters. Comparison with early proposed methods shows that the methods considered here significantly diminish the number of iterations necessary for obtaining the desired accuracy.
- Добавил в систему: Николаев Евгений Сергеевич