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

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

Mathematics and Computers in Simulation (MATCOM), 1999, vol. 48, issue 3, 307-317

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.

Keywords: Boundary collocation; Stochastic arithmetic; Interval arithmetic; CADNA; PROFIL; Grating; Rayleigh ansatz (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:48:y:1999:i:3:p:307-317

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