The Trotter-Kato theorem and approximation of PDEs期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

The Trotter-Kato theorem and approximation of PDEs

Authors:	Kazufumi Ito Franz Kappel

Institution:	Department of Mathematics, North Carolina State University, Raleigh, North Carolina 27695 ; Institut für Mathematik, Universität Graz, Heinrichstraße 36, A8010 Graz, Austria

Abstract:	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 to 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.

Keywords:	Semigroups of transformations Trotter-Kato-Theorems numerical approximation of linear evolutionary equations

	点击此处可从《Mathematics of Computation》浏览原始摘要信息
	点击此处可从《Mathematics of Computation》下载免费的PDF全文