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On highly oscillatory problems arising in electronic engineering
Condon, Marissa; Deaño, Alfredo; Iserles, Arieh
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.
Keyword(s): Differential equations; high oscillation; quadrature; ordinary differential equations;
Publication Date:
Type: Other
Peer-Reviewed: Unknown
Language(s): English
Institution: Dublin City University
Citation(s): Condon, Marissa, 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
Publisher(s): EDP Sciences
File Format(s): application/pdf
Related Link(s):,
First Indexed: 2009-11-05 02:01:37 Last Updated: 2019-02-09 06:58:33