Operator splitting for dissipative delay equations
Functional Analysis
2016-07-07 v4 Numerical Analysis
Abstract
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.
Cite
@article{arxiv.1009.1981,
title = {Operator splitting for dissipative delay equations},
author = {András Bátkai and Petra Csomós and Bálint Farkas},
journal= {arXiv preprint arXiv:1009.1981},
year = {2016}
}
Comments
to appear in Semigroup Forum