Stability of Rational Multistep Approximations of Holomorphic Semigroups
- 1 April 1995
- journal article
- Published by JSTOR in Mathematics of Computation
- Vol. 64 (210) , 591-599
- https://doi.org/10.2307/2153441
Abstract
In this paper we prove the stability of semidiscretizations in time of holomorphic semigroups in Banach spaces by means of ${\text {A}}(\alpha )$-stable rational multistep methods. No assumptions on the method other than ${\text {A}}(\alpha )$-stability are required. Our result is applicable in the maximum norm analysis of parabolic problems.Keywords
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