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Mathematics of Computation

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Approximation of some diffusion evolution equations in unbounded domains by Hermite functions

Authors: Daniele Funaro and Otared Kavian
Journal: Math. Comp. 57 (1991), 597-619
MSC: Primary 35K60; Secondary 35A35, 35K05, 65N12, 65N35
MathSciNet review: 1094949
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Abstract: Spectral and pseudospectral approximations of the heat equation are analyzed. The solution is represented in a suitable basis constructed with Hermite polynomials. Stability and convergence estimates are given and numerical tests are discussed.

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Keywords: Parabolic equations, spectral approximation, Hermite polynomials, unbounded domains
Article copyright: © Copyright 1991 American Mathematical Society