A NEW METHOD OF STABILIZATION FOR SINGULAR PERTURBATION PROBLEMS WITH SPECTRAL METHODS

被引：16

作者：

EISEN, H

HEINRICHS, W

机构：

[1] Mathematisches Inst der, Heinrich-Heine-Univ Duesseldorf, Duesseldorf

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1992年 / 29卷 / 01期

关键词：

SINGULAR; PERTURBATION; SPECTRAL; STABILIZATION;

D O I：

10.1137/0729007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A stabilized treatment of singular perturbation problems with spectral methods is presented. The stabilization is achieved by introducing one additional collocation point. The resulting overdetermined system leads to the normal equations which yield a stabilized system. Numerical results in one and two dimensions are presented which show the improved condition number of the stabilized spectral system.

引用

页码：107 / 122

页数：16

共 6 条

[1]

CANUTO C, 1988, MATH COMPUT, V51, P615, DOI 10.1090/S0025-5718-1988-0930226-2

[2]

CANUTO C, 1988, SERIES COMPUTATIONAL

[3]

Gottlieb D., 1977, CBMS REGIONAL C SERI, V26

[4] LINE RELAXATION FOR SPECTRAL MULTIGRID METHODS [J].