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On highly oscillatory problems arising in electronic engineering

Condon, Marissa, Deaño, Alfredo, Iserles, Arieh (2009) On highly oscillatory problems arising in electronic engineering. ESAIM: Mathematical Modelling and Numerical Analysis (ESAIM: M2AN), 43 (4). pp. 785-804. ISSN 0764-583X. (doi:10.1051/m2an/2009024)

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https://doi.org/10.1051/m2an/2009024

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
DOI/Identification number: 10.1051/m2an/2009024
Subjects: Q Science > QA Mathematics (inc Computing science) > QA297 Numerical analysis
Q Science > QA Mathematics (inc Computing science) > QA299 Analysis, Calculus
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Applied Mathematics
Depositing User: Alfredo Deano-Cabrera
Date Deposited: 21 Nov 2018 10:59 UTC
Last Modified: 30 May 2019 08:21 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/70235 (The current URI for this page, for reference purposes)
Deaño, Alfredo: https://orcid.org/0000-0003-1704-247X
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