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On numerical methods for highly oscillatory problems in circuit simulation

Condon, Marissa and Deaño, Alfredo and Iserles, Arieh and Maczynski, Kornel and Xu, Tao (2009) On numerical methods for highly oscillatory problems in circuit simulation. COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 28 (6). pp. 1607-1618. ISSN 0332-1649

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We propose in this paper a novel technique for an efficient numerical approximation of systems of highly oscillatory ordinary differential equations. In particular, we consider electronic systems subject to modulated signals. A Filon-type method is proposed for use and compared with traditional trapezoidal rule and Runge–Kutta methods. The Filontype method is combined with the waveform relaxation technique for nonlinear systems. Preliminary numerical examples highlight the efficacy of this approach.

Item Type:Article (Published)
Uncontrolled Keywords:circuits; oscillators;
Subjects:Mathematics > Differential equations
Engineering > Electronic engineering
DCU Faculties and Centres:DCU Faculties and Schools > Faculty of Engineering and Computing > School of Electronic Engineering
Publisher:Emerald Group Publishing Limited
Official URL:
Copyright Information:© 2009 Emerald Group Publishing Limited This article is (c) Emerald Group Publishing and permission has been granted for this version to appear here. Emerald does not grant permission for this article to be further copied/distributed or hosted elsewhere without the express permission from Emerald Group Publishing Limited. - See more at:
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:15245
Deposited On:23 Feb 2010 14:41 by DORAS Administrator. Last Modified 06 Aug 2014 09:07

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