Buchbeiträge:
W. Auzinger, H. Hofstätter, O. Koch, M. Quell, M. Thalhammer:
"A Posteriori Error Estimation for Magnus-Type Integrators";
in: "ASC Report 1/2018",
herausgegeben von: Institute for Analysis and Scientific Computing;
Vienna University of Technology,
Wien,
2018,
ISBN: 978-3-902627-11-7,
S. 1
- 19.
Kurzfassung englisch:
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 a model of solar cells composed of heterostructures based on transition metal oxides.
Elektronische Version der Publikation:
http://www.asc.tuwien.ac.at/preprint/2018/asc01x2018.pdf
Erstellt aus der Publikationsdatenbank der Technischen Universität Wien.