Hermite pseudospectral approximations. An error estimate |
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| Authors: | Julián Aguirre |
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| Institution: | Departamento de Matemáticas, Universidad del País Vasco, Aptdo. 644, 48080 Bilbao, Spain |
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| Abstract: | We find an error bound for the pseudospectral approximation of a function in terms of Hermite functions, hn(x)=e−x2Hn(x), in certain weighted Sobolev spaces. We use properties of Hermite polynomials, as well as an asymptotic expression for their largest zeroes to achieve the mentioned estimate. |
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| Keywords: | Hermite functions Pseudospectral approximation |
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