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Numerical integration with polynomial exactness over a spherical cap

✍ Scribed by Kerstin Hesse; Robert S. Womersley

Book ID
113060269
Publisher
Springer
Year
2011
Tongue
English
Weight
655 KB
Volume
36
Category
Article
ISSN
1019-7168

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πŸ“œ SIMILAR VOLUMES

Numerical integration over a spherical s
Numerical integration over a spherical shell
✍ M. Defranceschi; M. Sarrazin πŸ“‚ Article πŸ“… 1989 πŸ› Elsevier Science 🌐 English βš– 298 KB

A numerical integration rule is given for the calculation of three dimensional integrals on a spherical coordinate grid: integrals are considered as a weighted sum of integrand values. The program computes the points of the grid where the functions are to be determined and the associated weights. Tw

Exact integration of polynomial-exponent
Exact integration of polynomial-exponential products with application to wave-based numerical methods
✍ Gabard, G. πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 143 KB

## Abstract Wave‐based numerical methods often require to integrate products of polynomials and exponentials. With quadrature methods, this task can be particularly expensive at high frequencies as large numbers of integration points are required. This paper presents a set of closed‐form solutions