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Modified quadrature formulas for functions with nearby poles

โœ Scribed by Frank G. Lether

Publisher
Elsevier Science
Year
1977
Tongue
English
Weight
375 KB
Volume
3
Category
Article
ISSN
0377-0427

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โœฆ Synopsis

This paper is concerned with the numerical integration of functions with poles near the interval of integration. A method is given for modifying known quadrature rules, to obtain rules which are exact for certain classes of rational functions.

๐Ÿ“œ SIMILAR VOLUMES

Modified quadrature formula for integran
Modified quadrature formula for integrand with nearby poles
โœ Yue-Kuen Kwok; Kin-Kiu Tam ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 179 KB

The conventional trapezoidal approximation for the numerical evaluation of the integral formula for the Dirichlet problem inside the unit disc becomes highly inaccurate when the point of evaluation is approaching the boundary of the circular domain. This is due to the presence of two nearby poles of