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.
APPROXIMATION OF SOME DIFFUSION EVOLUTION-EQUATIONS IN UNBOUNDED-DOMAINS BY HERMITE FUNCTIONS / Funaro, Daniele; O., Kavian. - In: MATHEMATICS OF COMPUTATION. - ISSN 0025-5718. - STAMPA. - 57:(1991), pp. 597-619. [10.2307/2938707]
APPROXIMATION OF SOME DIFFUSION EVOLUTION-EQUATIONS IN UNBOUNDED-DOMAINS BY HERMITE FUNCTIONS
FUNARO, Daniele;
1991
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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