Operator splitting for dissipative delay equations

被引：0
|
作者：
András Bátkai
Petra Csomós
Bálint Farkas
机构：
[1] Eötvös Loránd University,Institute of Mathematics
[2] Bergische Universität Wuppertal,School of Mathematics and Natural Sciences
[3] Hungarian Academy of Sciences,MTA
来源：
Semigroup Forum | 2017年 / 95卷
关键词：
Lie–Trotter product formula; Operator splitting; Order of convergence; -semigroups; Delay equation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We investigate Lie–Trotter product formulae for abstract nonlinear evolution equations with delay. Using results from the theory of nonlinear contraction semigroups in Hilbert spaces, we explain the convergence of the splitting procedure. The order of convergence is also investigated in detail, and some numerical illustrations are presented.
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页码：345 / 365
页数：20
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