Article ID Journal Published Year Pages File Type
4639674 Journal of Computational and Applied Mathematics 2012 17 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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