๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Some error expansions for Gaussian quadrature

โœ Scribed by D. B. Hunter

Publisher
Springer Netherlands
Year
1995
Tongue
English
Weight
595 KB
Volume
35
Category
Article
ISSN
0006-3835

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Quadrature error expansions
Quadrature error expansions
โœ J. N. Lyness; E. de Doncker ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Springer-Verlag ๐ŸŒ English โš– 763 KB
Error estimates for Gaussian quadratures
Error estimates for Gaussian quadratures of analytic functions
โœ Gradimir V. Milovanoviฤ‡; Miodrag M. Spaleviฤ‡; Miroslav S. Praniฤ‡ ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 417 KB

For analytic functions the remainder term of Gaussian quadrature formula and its Kronrod extension can be represented as a contour integral with a complex kernel. We study these kernels on elliptic contours with foci at the points ยฑ1 and the sum of semi-axes > 1 for the Chebyshev weight functions of

Error bounds of certain Gaussian quadrat
Error bounds of certain Gaussian quadrature formulae
โœ Miodrag M. Spaleviฤ‡; Miroslav S. Praniฤ‡ ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 322 KB

We study the kernel of the remainder term of Gauss quadrature rules for analytic functions with respect to one class of Bernstein-Szegรถ weight functions. The location on the elliptic contours where the modulus of the kernel attains its maximum value is investigated. This leads to effective error bou