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.
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