ISSN:
0748-8025
Schlagwort(e):
Engineering
;
Engineering General
Quelle:
Wiley InterScience Backfile Collection 1832-2000
Thema:
Mathematik
,
Technik allgemein
Notizen:
This paper is concerned with the numerical construction of Hermite interpolatory product integration rules at arbitrarily prescribed nodes. The heart of the computational scheme is the efficient construction of Hermite functions of any order for any set of points. For the purpose of illustration, quadrature formulae based on the use of Basu. Clenshaw, Filippi, Filon and Polyá nodes are generated for oscillatory integrals. Of the nodes considered. Basu nodes yield the most accurate results in the interesting case of rapid oscillations, while Filippi nodes give rise to efficient common-point quadrature rules when the integrand has slight oscillations. The results also demonstrate that Hermite rules compare well with the Lagrange quadrature for the same number of function evaluations.
Zusätzliches Material:
2 Tab.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1002/cnm.1630020503
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