APPROXIMATION OF SOME DIFFUSION EVOLUTION-EQUATIONS IN UNBOUNDED-DOMAINS BY HERMITE FUNCTIONS

被引：4

作者：

FUNARO, D ^{[1
]}

KAVIAN, O ^{[1
]}

机构：

[1] UNIV NANCY 1,DEPT MATH,INST ELIE CARTAN,F-54506 VANDOEUVRE NANCY,FRANCE

来源：

MATHEMATICS OF COMPUTATION | 1991年 / 57卷 / 196期

关键词：

PARABOLIC EQUATIONS; SPECTRAL APPROXIMATION; HERMITE POLYNOMIALS; UNBOUNDED DOMAINS;

D O I：

10.2307/2938707

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Spectral and pseudospectral approximations of the heat equation are analyzed. The solution is represented in a suitable basis constructed with Hermite polynomials. Stability and convergence estimates are given and numerical tests are discussed.

引用

页码：597 / 619

页数：23

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