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Kathryn Lindsay - One of the best experts on this subject based on the ideXlab platform.

Debbie Kaleva - One of the best experts on this subject based on the ideXlab platform.

Amy Lippo - One of the best experts on this subject based on the ideXlab platform.

Tabzeera Dosu - One of the best experts on this subject based on the ideXlab platform.

Arieh Iserles - One of the best experts on this subject based on the ideXlab platform.

  • on highly oscillatory problems arising in Electronic Engineering
    Mathematical Modelling and Numerical Analysis, 2009
    Co-Authors: Marissa Condon, Alfredo Deano, Arieh Iserles
    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.