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Comparison of four software packages applied to a scattering problem1Professor Ralph E. Kleinman, University of Delaware, USA, in memoriam.1

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  • Albertsen, Niels Christian
  • Chesneaux, Jean-Marie
  • Christiansen, Søren
  • Wirgin, Armand

Abstract

We investigate characteristic features of four different software packages by applying them to the numerical solution of a non-trivial physical problem in computer simulation, viz., scattering of waves from a sinusoidal boundary. The numerical method used is based on boundary collocation. This leads to highly ill-conditioned linear systems of equations, such that ensuing results may lose significant digits. The packages under consideration, each of which is based on a specific computer arithmetic, are the following: CADNA, PROFIL, MAPLE and MATLAB.

Suggested Citation

  • Albertsen, Niels Christian & Chesneaux, Jean-Marie & Christiansen, Søren & Wirgin, Armand, 1999. "Comparison of four software packages applied to a scattering problem1Professor Ralph E. Kleinman, University of Delaware, USA, in memoriam.1," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 48(3), pages 307-317.
    • Handle: RePEc:eee:matcom:v:48:y:1999:i:3:p:307-317
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    References listed on IDEAS

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    1. Vignes, J., 1978. "New methods for evaluating the validity of the results of mathematical computations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 20(4), pages 227-249.
    2. Vignes, J., 1993. "A stochastic arithmetic for reliable scientific computation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 35(3), pages 233-261.
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