Operator splittings and spatial approximations for evolution equations
Functional Analysis
2009-06-21 v2 Numerical Analysis
Abstract
The convergence of various operator splitting procedures, such as the sequential, the Strang and the weighted splitting, is investigated in the presence of a spatial approximation. To this end a variant of Chernoff's product formula is proved. The methods are applied to abstract partial delay differential equations.
Cite
@article{arxiv.0810.1694,
title = {Operator splittings and spatial approximations for evolution equations},
author = {András Bátkai and Petra Csomós and Gregor Nickel},
journal= {arXiv preprint arXiv:0810.1694},
year = {2009}
}
Comments
to appear in J. Evol. Equations. Reviewers comments are incorporated