SPECTRAL APPROXIMATION OF A SCHRODINGER TYPE EQUATION

被引：10

作者：

BERNARDI, C

PELISSIER, MC

机构：

[1] UNIV TOULON & VAR,ETMA,F-83957 LA GARDE,FRANCE

[2] UNIV PARIS 06,F-75230 PARIS 05,FRANCE

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 1994年 / 4卷 / 01期

关键词：

D O I：

10.1142/S0218202594000054

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with a linear Schrodinger type equation in a rectangular domain with mixed Dirichlet-Neumann boundary conditions. The well-posedness of the continuous problem is proved, then a discrete problem is defined by combining a Legendre type spectral method in the first direction and a leap-frog scheme in the other one. The numerical analysis of the discretization is performed and error estimates are given. Numerical tests are presented.

引用

页码：49 / 88

页数：40

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