Remote Access Mathematics of Computation
Green Open Access

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
DOI: https://doi.org/10.1090/S0025-5718-1973-0336960-9
MathSciNet review: 0336960
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 65D15

Retrieve articles in all journals with MSC: 65D15


Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1973-0336960-9
Keywords: Hermite polynomials, piecewise polynomials, projection method
Article copyright: © Copyright 1973 American Mathematical Society