𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Convergence of Gaussian Quadrature Formulas

✍ Scribed by Ying Guang Shi

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
124 KB
Volume
105
Category
Article
ISSN
0021-9045

No coin nor oath required. For personal study only.

✦ Synopsis

Convergence of a general Gaussian quadrature formula is shown and its rate of convergence is also given.

πŸ“œ SIMILAR VOLUMES

Generalized Gaussian Birkhoff Quadrature
Generalized Gaussian Birkhoff Quadrature Formulas
✍ Y.G. Shi πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 190 KB

Existence of a generalized Gaussian Birkhoff quadrature formula is proved for a wide class of incidence matrices which satisfy the delayed PΓ³lya conditions and contain no odd non-Hermitian sequences in the interior rows. 1995 Academic Press, Inc.

On the Convergence of Quadrature Formula
On the Convergence of Quadrature Formulas Connected with Multipoint PadΓ©-Type Approximation
✍ P. GonzΓ‘lez-Vera; M.JimΓ©nez Paiz; R. Orive; G.LΓ³pez Lagomasino πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 275 KB

We consider quadrature formulas for I F which are exact with respect to rational w x functions with prescribed poles contained in ‫ރ‬ \_ y1, 1 . Their rate of convergence is studied.

Evaluations of hypersingular integrals u
Evaluations of hypersingular integrals using Gaussian quadrature
✍ C.-Y. Hui; D. Shia πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 99 KB πŸ‘ 1 views

A Gaussian quadrature formula for hypersingular integrals with second-order singularities is developed based on previous Gaussian quadrature formulae for Cauchy principal value integrals. The formula uses classical orthonormal polynomials, and the formula is then specialized to the case of Legendre