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Publications in Scientific Journals:

W. Auzinger, H. Hofstätter, O. Koch, M. Quell, M. Thalhammer:
"A posteriori error estimation for Magnus-type integrators";
ESAIM: Mathematical Modelling and Numerical Analysis, 53 (2019), 1; 197 - 218.



English abstract:
We study high-order Magnus-type exponential integrators for large systems of ordinary di˙erential equations defined by a time-dependent skew-Hermitian matrix. We construct and analyze defect-based local error estimators as the basis for adaptive stepsize selection. The resulting procedures provide a posteriori information on the local error and hence enable the accurate, efficient, and reliable time integration of the model equations. The theoretical results are illustrated on two numerical examples.


"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1051/m2an/2018050


Created from the Publication Database of the Vienna University of Technology.