The Use of Phase-Lag Derivatives in the Numerical Integration of ODEs with Oscillating Solutions

Journal Article · Mon Sep 01 00:00:00 EDT 2008 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.2990865· OSTI ID:21251326

Anastassi, Z A; Vlachos, D S; Simos, T E ^[1]

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1. Laboratory of Computer Sciences, Department of Computer Science and Technology, Faculty of Sciences and Technology, University of Peloponnese GR-22 100 Tripolis (Greece)

In this paper we consider the fitting of the coefficients of a numerical method, not only due to the nullification of the phase-lag, but also to its derivatives. We show that the method gains efficiency with each derivative of the phase-lag nullified for various problems with oscillating solutions. The analysis of the local truncation error analysis and the stability of the methods show the importance of zero phase-lag derivatives when integrating oscillatory differential equations.

• OSTI ID: 21251326
• Journal Information: AIP Conference Proceedings, Vol. 1048, Issue 1; Conference: International conference on numerical analysis and applied mathematics 2008, Psalidi, Kos (Greece), 16-20 Sep 2008; Other Information: DOI: 10.1063/1.2990865; (c) 2008 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

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