Nonlinear Extension of Multiproduct Expansion Schemes and Applications to Rigid Bodies
Author
Source
International Journal of Differential Equations
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-18
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
In this paper we discuss time integrators for nonlinear differential equations.
In recent years, splitting approaches have become an important tool for reducing the computational time needed to solve differential equations.
Moreover, nonlinearity is a challenge to splitting schemes, while one has to extend the exp-functions in terms of a nonlinear Magnus expansion.
Here we discuss a novel extension of the so-called multiproduct expansion methods, which is used to improve the standard Strang splitting schemes as to their nonlinearity.
We present an extension of linear splitting schemes and concentrate on nonlinear systems of differential equations and generalise in this respect the recent MPE method; see (Chin and Geiser, 2011).
Some first numerical examples, of rigid body problems, are given as benchmarks.
American Psychological Association (APA)
Geiser, Juergen. 2013. Nonlinear Extension of Multiproduct Expansion Schemes and Applications to Rigid Bodies. International Journal of Differential Equations،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-490082
Modern Language Association (MLA)
Geiser, Juergen. Nonlinear Extension of Multiproduct Expansion Schemes and Applications to Rigid Bodies. International Journal of Differential Equations No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-490082
American Medical Association (AMA)
Geiser, Juergen. Nonlinear Extension of Multiproduct Expansion Schemes and Applications to Rigid Bodies. International Journal of Differential Equations. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-490082
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-490082