On Numerical Methods for Highly Oscillatory Problems in Circuit Simulation Articles uri icon

publication date

  • January 2009

start page

  • 1607

end page

  • 1618


  • 6


  • 28

International Standard Serial Number (ISSN)

  • 0332-1649


  • 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