Computation of Hermite polynomials

Eisenhart, Laurance C.; Trapp, George E.

doi:10.1090/S0025-5718-1973-0336960-9

Computation of Hermite polynomials
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by Laurance C. Eisenhart and George E. Trapp PDF

Math. Comp. 27 (1973), 625-632 Request permission

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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