๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Rational interpolation using Levin-Weniger transforms

โœ Scribed by Ranjan Bhattacharya; Dhiranjan Roy; Siddhartha Bhowmick

Book ID
104109668
Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
617 KB
Volume
101
Category
Article
ISSN
0010-4655

No coin nor oath required. For personal study only.

โœฆ Synopsis

The difficulty of solving sets of nonlinear equations to obtain these formulas is obviated by a new I;.nearization prescription which is used iteratively. A comparative study on some test functions reveals that these interpolation formulas work better than the ones obtained from Pad6-type rational interpolation. Among the different interpolants obtained with the Levin-Weniger transforms, those obtained with the Weniger r-transform are found to better approximate test functions over the range of interpolation.

๐Ÿ“œ SIMILAR VOLUMES

Rational approximants using Levin-Wenige
Rational approximants using Levin-Weniger transforms
โœ Dhiranjan Roy; Ranjan Bhattacharya; Siddhartha Bhowmick ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 989 KB

The existing work on generating rational approximants of functions from their series expansions is extended to include the generalization of the Levin transforms due to Weniger. It is seen that this leads to approximants even better than the u-approximants obtained previously. It is further seen tha

Rational approximants using the Levin u-
Rational approximants using the Levin u-transform: application to the excluded-volume problem in polymers
โœ Dhiranjan Roy; Ranjan Bhattacharya; Siddhartha Bhowmick ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 315 KB

The Levin u-transform is used as a method of summation of the divergent perturbation series expansion for the conformation factor in the excluded-volume problem of dilute polymer solutions. The rational approximants thereby generated are superior to Pad6 approximants regarding their consistency with