On the discrete convergence of multistep methods for differential inclusions
作者:
H.-D. Niepage,
W. Wendt,
期刊:
Numerical Functional Analysis and Optimization
(Taylor Available online 1987)
卷期:
Volume 9,
issue 5-6
页码: 591-617
ISSN:0163-0563
年代: 1987
DOI:10.1080/01630568708816249
出版商: Marcel Dekker, Inc.
数据来源: Taylor
摘要:
We consider a differential inclusion together with a sequence of general multistep methods. For the solutions of the approximate problems by discretization-theoretic tools we prove, under general assumptions, a convergence result ensuring the existence of a solution of the diffe rential inclusion simultaneously. This result is applied to set-valued analogues of linear m ultistep methods and Runge-Kutta methods as specifications of the general muitistep method.
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