Operator splitting for non-autonomous evolution equations
Functional Analysis
2010-10-22 v4 Numerical Analysis
Abstract
We provide general product formulas for the solutions of non-autonomous abstract Cauchy problems. The main technical tool is the application of evolution semigroup methods, allowing the direct application of existing results on autonomous problems. The results are then illustrated by the example of a imaginary time Schr\"odinger equation with time dependent potential. We also obtain convergence rates for the Strang-splitting applied to this problem.
Cite
@article{arxiv.1002.0164,
title = {Operator splitting for non-autonomous evolution equations},
author = {András Bátkai and Petra Csomós and Bálint Farkas and Gregor Nickel},
journal= {arXiv preprint arXiv:1002.0164},
year = {2010}
}
Comments
Referees suggestions incorporated, misprints corrected. Final version