Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/4985
Title: Higher order operator splitting methods via Zassenhaus product formula: Theory and applications
Authors: Geiser, Jürgen
Tanoğlu, Gamze
Gücüyenen, Nuran
Tanoğlu, Gamze
Gücüyenen, Nuran
Izmir Institute of Technology. Mathematics
Keywords: Iterative solver method
Operator splitting method
Parabolic differential equations
Weighting methods
Zassenhaus product
Issue Date: Aug-2011
Publisher: Elsevier Ltd.
Source: Geiser, J., Tanoǧlu, G.,and Gücüyenen, N. (2011). Higher order operator splitting methods via Zassenhaus product formula: Theory and applications. Computers and Mathematics with Applications, 62(4), 1994-2015. doi:10.1016/j.camwa.2011.06.043
Abstract: In this paper, we contribute higher order operator splitting methods improved by Zassenhaus product. We apply the contribution to classical and iterative splitting methods. The underlying analysis to obtain higher order operator splitting methods is presented. While applying the methods to partial differential equations, the benefits of balancing time and spatial scales are discussed to accelerate the methods. The verification of the improved splitting methods are done with numerical examples. An individual handling of each operator with adapted standard higher order time-integrators is discussed. Finally, we conclude the higher order operator splitting methods.
URI: http://doi.org/10.1016/j.camwa.2011.06.043
http://hdl.handle.net/11147/4985
ISSN: 0898-1221
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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