Analysis of higher order phase fitted variational integrators

Kosmas O, Leyendecker S (2016)


Publication Language: English

Publication Type: Journal article, Review article

Publication year: 2016

Journal

Book Volume: 42

Pages Range: 605-619

Journal Issue: 3

DOI: 10.1007/s10444-015-9436-x

Abstract

In the present, the linear stability properties of the higher order phase fitted variational integrators are investigated. Towards this purpose, at first we calculate the eigenvalues of the amplification matrix for each method. Then, since the proposed integrators are derived specifically for the numerical integration of systems with oscillatory solutions, the linear stability analysis verifies their good behavior, when used for these problems. Finally, we test the proposed methods on several numerical examples, first with regard to their stability and secondly concerning the behavior in long term integration of highly oscillatory problems.

 
 

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APA:

Kosmas, O., & Leyendecker, S. (2016). Analysis of higher order phase fitted variational integrators. Advances in Computational Mathematics, 42(3), 605-619. https://dx.doi.org/10.1007/s10444-015-9436-x

MLA:

Kosmas, Odysseas, and Sigrid Leyendecker. "Analysis of higher order phase fitted variational integrators." Advances in Computational Mathematics 42.3 (2016): 605-619.

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