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Mathematics of Computation
Article . 1973 . Peer-reviewed
Data sources: Crossref
Mathematics of Computation
Article . 1973 . Peer-reviewed
Data sources: Crossref
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Computation of Hermite polynomials

Authors: George E. Trapp; Laurance C. Eisenhart;

Computation of Hermite polynomials

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.

Keywords

Numerical solution of boundary value problems involving ordinary differential equations, Computation of special functions and constants, construction of tables, Numerical methods for ordinary differential equations, Numerical methods for functional equations

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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