Stability and Convergence of Product Formulas for Operator Matrices
Functional Analysis
2012-12-03 v2 Numerical Analysis
Abstract
We present easy to verify conditions implying stability estimates for operator matrix splittings which ensure convergence of the associated Trotter, Strang and weighted product formulas. The results are applied to inhomogeneous abstract Cauchy problems and to boundary feedback systems.
Cite
@article{arxiv.1207.1118,
title = {Stability and Convergence of Product Formulas for Operator Matrices},
author = {András Bátkai and Petra Csomós and Klaus-Jochen Engel and Bálint Farkas},
journal= {arXiv preprint arXiv:1207.1118},
year = {2012}
}
Comments
to appear in Integral Equations and Operator Theory (ISSN: 1420-8989)