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Asymptotic solvers for second-order differential equation systems with multiple frequencies

Condon, Marissa, Deaño, Alfredo, Gao, Jing and Iserles, Arieh (2013) Asymptotic solvers for second-order differential equation systems with multiple frequencies. Calcolo, 51 . pp. 109-139. ISSN 1126-5434

Abstract
In this paper, an asymptotic expansion is constructed to solve second-order dierential equation systems with highly oscillatory forcing terms involving multiple frequencies. An asymptotic expansion is derived in inverse of powers of the oscillatory parameter and its truncation results in a very eective method of dicretizing the dierential equation system in question. Numerical experiments illustrate the eectiveness of the asymptotic method in contrast to the standard Runge-Kutta method.
Metadata
Item Type:Article (Published)
Refereed:Yes
Uncontrolled Keywords:Highly oscillatory problems; Second-order differential equations ; Modulated Fourier expansions; Multiple frequencies; Numerical analysis
Subjects:Engineering > Electronic engineering
DCU Faculties and Centres:DCU Faculties and Schools > Faculty of Engineering and Computing > School of Electronic Engineering
Publisher:Springer Verlag
Official URL:http://dx.doi.org/10.1007/s10092-013-0078-4
Copyright Information:© 2013 Springer-Verlag. The original publication is available at www.springerlink.com
Use License:This item is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 3.0 License. View License
ID Code:18422
Deposited On:11 Jun 2013 10:26 by Fran Callaghan . Last Modified 28 Apr 2017 08:46
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