Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4639674 | Journal of Computational and Applied Mathematics | 2012 | 17 Pages |
Abstract
We introduce a defect correction principle for exponential operator splitting methods applied to time-dependent linear Schrödinger equations and construct a posteriori local error estimators for the Lie–Trotter and Strang splitting methods. Under natural commutator bounds on the involved operators we prove asymptotical correctness of the local error estimators, and along the way recover the known a priori convergence bounds. Numerical examples illustrate the theoretical local and global error estimates.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Winfried Auzinger, Othmar Koch, Mechthild Thalhammer,