The Linear Rational Pseudospectral Method with Preassigned Poles |
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Authors: | Richard Baltensperger Jean-Paul Berrut Yves Dubey |
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Institution: | (1) Département de Mathématiques, Université de Fribourg, CH-, 1700 Fribourg/Pérolles, Switzerland |
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Abstract: | We present a linear rational pseudospectral (collocation) method with preassigned poles for solving boundary value problems. It consists in attaching poles to the trial polynomial so as to make it a rational interpolant. Its convergence is proved by transforming the problem into an associated boundary value problem. Numerical examples demonstrate that the rational pseudospectral method is often more efficient than the polynomial method. |
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Keywords: | pseudospectral method linear rational collocation preassigned poles |
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