On Systems of Differential Equations with Extrinsic Oscillation Articles uri icon

publication date

  • December 2010

start page

  • 1345

end page

  • 1367


  • 4


  • 28

International Standard Serial Number (ISSN)

  • 1078-0947

Electronic International Standard Serial Number (EISSN)

  • 1553-5231


  • We present a numerical scheme for an efficient discretization of nonlinear systems of differential equations subjected to highly oscillatory perturbations. This method is superior

    to standard ODE numerical solvers in the presence of high frequency
    forcing terms,and is based on asymptotic expansions of the solution in
    inverse powers of the oscillatory

    parameter w, featuring modulated Fourier series in the expansion
    coefficients. Analysis of numerical stability and numerical examples are