Relaxation scheme for the nonlinear Schrodinger equation and Davey-Stewartson systems

被引：27
|
作者：
Besse, C
机构：
[1] Univ Bordeaux 1, UPRESA 5466, F-33405 Talence, France
[2] Univ Toulouse 3, UFR MIG, F-31062 Toulouse 4, France
来源：
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1998年 / 326卷 / 12期
关键词：
D O I：
10.1016/S0764-4442(98)80405-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we introduce a new numerical scheme for the nonlinear Schrodinger equation and the Davey-Stewartson systems. This is a relaxation type;scheme that avoids the resolution of nonlinear systems. We give convergence results for the semi-discret version, locally in time for all data and globally in time for small data. (C) Academie des Sciences/Elsevier, Paris.
引用
收藏
页码：1427 / 1432
页数：6
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