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Titel
Adaptive splitting methods for nonlinear Schrödinger equations in the semiclassical regime
Autor*in
Winfried Auzinger
Technische Universität Wien
Autor*in
Thomas Kassebacher
Universität Innsbruck
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Abstract
The error behavior of exponential operator splitting methods for nonlinear Schrödinger equations in the semiclassical regime is studied. For the Lie and Strang splitting methods, the exact form of the local error is determined and the dependence on the semiclassical parameter is identified. This is enabled within a defect-based framework which also suggests asymptotically correct a posteriori local error estimators as the basis for adaptive time stepsize selection. Numerical examples substantiate and complement the theoretical investigations.
Objekt-Typ
Sprache
Englisch [eng]
Stichwort
Nonlinear Schrödinger equationsSemiclassical regimeSplitting methodsAdaptive time integrationLocal errorConvergence
Verfügbarkeitsdatum
2016-08-19
Datum der Annahme zur Veröffentlichung
2015-08-18
Seitenanfang
1
Seitenende
35
Erschienen in
Titel
Numerical Algorithms
Verlag
Springer
Projektnummer
MA14-002 – Vienna Science and Technology Fund (WWTF)
Persistent identifier
https://phaidra.univie.ac.at/o:423908
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