Inertial manifolds and linear multi-step methods

被引：0
|
作者：
Tony Shardlow
机构：
[1] Stanford University,Scientific Computing and Computational Mathematics
来源：
Numerical Algorithms | 1997年 / 14卷
关键词：
inertial manifolds; linear multi-step methods; 65M06;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We determine the existence and C1 convergence of an inertial manifold for a strongly A(α) stable, pth order, p≧1, linear multi-step method approximating a sectorial evolution equation that satisfies a gap condition. This inertial manifold gives rise to a one-step method that C1 approximates the inertial form of the evolution equation and yields further approximation properties of the multi-step method.
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页码：189 / 209
页数：20
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