A CLASS OF NUMERICAL ALGORITHMS FOR LARGE TIME INTEGRATION - THE NONLINEAR GALERKIN METHODS

被引：24

作者：

DEVULDER, C

MARION, M

机构：

[1] Ecole Centrale de Lyon, Ecully

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1992年 / 29卷 / 02期

关键词：

INTEGRATION METHOD; LONG-TERM INTEGRATION; APPROXIMATE INERTIAL MANIFOLDS;

D O I：

10.1137/0729028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The nonlinear Galerkin methods are numerical schemes well adapted to the long-term integration of evolution partial differential equations. They consist of looking for approximate solutions lying in nonlinear manifolds that are "close" (in some sense) to the attractor. The aim of this paper is to extend these schemes to a large class of manifolds. Convergence results are derived for the schemes introduced.

引用

页码：462 / 483

页数：22

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