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Zeitschriftenartikel:

W. Auzinger, H. Hofstätter, O. Koch, M. Quell, M. Thalhammer:
"A posteriori error estimation for Magnus-type integrators";
angenommen für ESAIM: Mathematical Modelling and Numerical Analysis (2018).



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 two numerical examples.

Erstellt aus der Publikationsdatenbank der Technischen Universitšt Wien.