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A note on spline approximation for Hadamard finite-part integrals

โœ Scribed by Annamaria Palamara Orsi

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
417 KB
Volume
79
Category
Article
ISSN
0377-0427

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โœฆ Synopsis

In this paper we construct product quadrature rules, based on spline interpolation, for the numerical evaluation of singular integrals in the sense of Hadamard. We give a convergence result and examine the behaviour of the stability factor. We also present some numerical tests.

๐Ÿ“œ SIMILAR VOLUMES

A Chebyshev Quadrature Rule for One Side
A Chebyshev Quadrature Rule for One Sided Finite Part Integrals
โœ Philsu Kim ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 153 KB

This paper is concerned with a Chebyshev quadrature rule for approximating one sided finite part integrals with smooth density functions. Our quadrature rule is based on the Chebyshev interpolation polynomial with the zeros of the Chebyshev polynomial T N+1 ({)&T N&1 (t). We analyze the stability an