The Trotter-Kato theorem and approximation of PDEs

被引：53
|
作者：
Ito, K
Kappel, F
机构：
[1] N Carolina State Univ, Dept Math, Raleigh, NC 27695 USA
[2] Graz Univ, Inst Math, A-8010 Graz, Austria
来源：
MATHEMATICS OF COMPUTATION | 1998年 / 67卷 / 221期
关键词：
semigroups of transformations; Trotter-Kato-theorems; numerical approximation of linear evolutionary equations;
D O I：
10.1090/S0025-5718-98-00915-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present formulations of the Trotter-Kato theorem for approximation of linear C-0-semigroups which provide very useful framework when convergence of numerical approximations tu solutions of PDEs are studied. Applicability of our results is demonstrated using a first order hyperbolic equation, a wave equation and Stokes' equation as illustrative examples.
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页码：21 / 44
页数：24
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