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Birkhoff quadrature formulae based on the zeros of Jacobi polynomials

✍ Scribed by M. Lénaárd

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
549 KB
Volume
38
Category
Article
ISSN
0895-7177

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✦ Synopsis

The main object of this paper is to construct a Birkhoff quadrature formula of the form

which is exact for the polynomials of degree < 2n + 2k + 1. We construct the formula when the nodes {Xi}; and {zt}F-' are the zeros of the ultraspherical polynomials P~k'(z) and P,$""(z), respectively.

📜 SIMILAR VOLUMES

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The main object of this paper is to construct a new quadrature formula based on the zeros of the polynomial (1 -x2)P(a'f~)(x)P(a'B)' (x), where P(a'f~)(x) is the Jacobi polynomial of degree n. It is interesting to mention that this quadrature formula is closely related to the wellknown Gaussian Quad

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