Sie sind hier:Universität Wienu:scholarDetail o:423905
Titel
Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part III: The nonlinear case
Autor*in
Winfried Auzinger
Technische Universität Wien
Autor*in
Harald Hofstätter
Technische Universität Wien
Autor*in
Othmar Koch
Technische Universität Wien
... show all
Abstract
The present work is concerned with the efficient time integration of nonlinear evolution equations by exponential operator splitting methods. Defect-based local error estimators serving as a reliable basis for adaptive stepsize control are constructed and analyzed. In the context of time-dependent nonlinear Schrödinger equations, asymptotical correctness of the local error estimators associated with the first-order Lie-Trotter and second-order Strang splitting methods is proven. Numerical examples confirm the theoretical results and illustrate the performance of adaptive stepsize control.
Stichwort
Nonlinear evolution equationsTime-dependent nonlinear Schrödinger equationsExponential operator splitting methodsA priori local error analysisA posteriori local error analysis
Objekt-Typ
Sprache
Englisch [eng]
Persistent identifier
https://phaidra.univie.ac.at/o:423905
Erschienen in
Titel
Journal of Computational and Applied Mathematics
Band
273
Seitenanfang
182
Seitenende
204
Verlag
Elsevier BV
Projektnummer
P24157-N13 – Austrian Science Fund (FWF)
Verfügbarkeitsdatum
2017-01-02
Datum der Annahme zur Veröffentlichung
2015
Zugänglichkeit

Herunterladen

Universität Wien | Universitätsring 1 | 1010 Wien | T +43-1-4277-0