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DISCRETIZATION BY RATIONAL AND QUASI-RATIONAL FUNCTIONS OF MULTI-DIMENSIONAL ELLIPTIC PROBLEMS IN THE WHOLE SPACE

Abstract : We propose a new spectral method for solving multi-dimensional second order elliptic equations with varying coefficients in the whole space. This method employs an orthogonal family of quasi-rational functions recently discovered by Arar and Boulmezaoud. After proving an error estimate, we present some computational tests which demonstrate the efficiency of the method and the significance of its developmental potential.
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Submitted on : Wednesday, June 26, 2019 - 5:15:47 PM
Last modification on : Wednesday, October 20, 2021 - 12:24:28 AM

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T. Z. Boulmezaoud, N. Arar, N. Kerdid, A. Kourta. DISCRETIZATION BY RATIONAL AND QUASI-RATIONAL FUNCTIONS OF MULTI-DIMENSIONAL ELLIPTIC PROBLEMS IN THE WHOLE SPACE. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2016, 50 (1), pp.263-288. ⟨10.1051/m2an/2015042⟩. ⟨hal-02166373⟩

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