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

Advances in Computational Mathematics Springer Verlag (Germany)

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.

Authors with CRIS profile

Odysseas Kosmas Institute of Applied Dynamics Sigrid Leyendecker Institute of Applied Dynamics

Related research project(s)

Phase lag analysis of variational integrators using interpolation techniques Jan. 1, 2011 - Jan. 1, 2013

How to cite

APA:

Kosmas, O., & Leyendecker, S. (2016). Analysis of higher order phase fitted variational integrators. Advances in Computational Mathematics, 42(3), 605-619. https://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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