On the Chebyshev penalty method for parabolic and hyperbolic equations

被引：4

作者：

Dettori, L

Yang, BL

机构：

[1] Division of Applied Mathematics, Brown University, Providence

来源：

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 1996年 / 30卷 / 07期

关键词：

D O I：

10.1051/m2an/1996300709071

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose, in this article, several versions of the penalty method for the pseudospectral Chebyshev discretization of hyperbolic and parabolic equations. We demonstrate the stability for a range of the penalty parameter. For the hyperbolic equation we find the optimal estimate for the parameter, whereas the estimate for the parabolic case is not optimal.

引用

页码：907 / 920

页数：14

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