Iterative operator-splitting methods for linear problems

The operator-splitting methods base on splitting of the complex problem into the sequence of the simpler tasks. A useful method is the iterative splitting method which ensures a consistent approximation in each step. In our paper, we suggest a new method which is based on the combination of splittin...

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Bibliographische Detailangaben
1. Verfasser: Farago, Istvan (VerfasserIn)
Weitere Verfasser: Geiser, Jürgen (VerfasserIn)
Format: UnknownFormat
Sprache:eng
Veröffentlicht: Berlin WIAS 2005
Schriftenreihe:Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik 1043
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Zusammenfassung:The operator-splitting methods base on splitting of the complex problem into the sequence of the simpler tasks. A useful method is the iterative splitting method which ensures a consistent approximation in each step. In our paper, we suggest a new method which is based on the combination of splitting the time interval and the traditional iterative operator splitting. We analyze the local splitting error of the method. Numerical examples are given in order to demonstrate the method.
Beschreibung:16 S.