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Rational approximants using Levin-Weniger transforms

✍ Scribed by Dhiranjan Roy; Ranjan Bhattacharya; Siddhartha Bhowmick

Book ID
103049393
Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
989 KB
Volume
93
Category
Article
ISSN
0010-4655

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✦ Synopsis

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 that the freedom of choosing an additional parameter /3 in these transforms can be exploited to dramatically increase their effectiveness in certain situations.

πŸ“œ SIMILAR VOLUMES

Rational interpolation using Levin-Wenig
Rational interpolation using Levin-Weniger transforms
✍ Ranjan Bhattacharya; Dhiranjan Roy; Siddhartha Bhowmick πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 617 KB

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 i

Rational approximants using the Levin u-
Rational approximants using the Levin u-transform: application to the excluded-volume problem in polymers
✍ Dhiranjan Roy; Ranjan Bhattacharya; Siddhartha Bhowmick πŸ“‚ Article πŸ“… 1992 πŸ› Elsevier Science 🌐 English βš– 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