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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



Computation of Hermite polynomials

Authors: Laurance C. Eisenhart and George E. Trapp
Journal: Math. Comp. 27 (1973), 625-632
MSC: Primary 65D15
MathSciNet review: 0336960
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Abstract: Projection methods are commonly used to approximate solutions of ordinary and partial differential equations. A basis of the subspace under consideration is needed to apply the projection method. This paper discusses methods of obtaining a basis for piecewise polynomial Hermite subspaces. A simple recursive procedure is derived for generating piecewise Hermite polynomials. These polynomials are then used to obtain approximate solutions of differential equations.

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Keywords: Hermite polynomials, piecewise polynomials, projection method
Article copyright: © Copyright 1973 American Mathematical Society