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On highly oscillatory problems arising in electronic engineering

Condon, Marissa and Deaño, Alfredo and Iserles, Arieh (2009) On highly oscillatory problems arising in electronic engineering. ESAIM Mathematical Modelling and Numerical Analysis, 43 (4). pp. 785-804. ISSN 0764-583X

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Abstract

In this paper, we consider linear ordinary differential equations originating in electronic engineering, which exhibit exceedingly rapid oscillation. Moreover, the oscillation model is completely different from the familiar framework of asymptotic analysis of highly oscillatory integrals. Using a Bessel-function identity, we expand the oscillator into asymptotic series, and this allows us to extend Filon-type approach to this setting. The outcome is a time-stepping method that guarantees high accuracy regardless of the rate of oscillation.

Item Type:Article (Published)
Refereed:Yes
Additional Information:The original publication is available at www.esaim-m2an.org
Uncontrolled Keywords:high oscillation; quadrature; ordinary differential equations;
Subjects:Mathematics > Differential equations
DCU Faculties and Centres:DCU Faculties and Schools > Faculty of Engineering and Computing > School of Electronic Engineering
Publisher:EDP Sciences
Official URL:http://dx.doi.org/10.1051/m2an/2009024
Copyright Information:© EDP Sciences, SMAI 2009
Use License:This item is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 3.0 License. View License
Funders:Science Foundation Ireland, SFI 05/IN.1/I18
ID Code:4698
Deposited On:13 Jul 2009 16:16 by DORAS Administrator. Last Modified 24 May 2010 11:20

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