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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
Publication Date:
2009
Type: Other
Peer-Reviewed: Unknown
Language(s): English
Institution: Dublin City University
Publisher(s): EDP Sciences
File Format(s): application/pdf
Related Link(s): http://doras.dcu.ie/4698/,
http://dx.doi.org/10.1051/m2an/2009024,
doi:10.1051/m2an/2009024
First Indexed: 2009-11-05 02:01:37 Last Updated: 2018-07-21 07:00:31