Article ID Journal Published Year Pages File Type
9502929 Journal of Mathematical Analysis and Applications 2005 9 Pages PDF
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.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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