Viscovatov-Like Algorithm of Thiele–Newton’s Blending Expansion for a Bivariate Function

Shengfeng Li and Yi Dong
Additional contact information
Shengfeng Li: Institute of Applied Mathematics, Bengbu University, Bengbu 233030, China
Yi Dong: School of Science, Bengbu University, Bengbu 233030, China

Mathematics, 2019, vol. 7, issue 8, 1-15

Abstract: In this paper, Thiele–Newton’s blending expansion of a bivariate function is firstly suggested by means of combining Thiele’s continued fraction in one variable with Taylor’s polynomial expansion in another variable. Then, the Viscovatov-like algorithm is given for the computations of the coefficients of this rational expansion. Finally, a numerical experiment is presented to illustrate the practicability of the suggested algorithm. Henceforth, the Viscovatov-like algorithm has been considered as the imperative generalization to find out the coefficients of Thiele–Newton’s blending expansion of a bivariate function.

Keywords: bivariate function; divided difference; inverse difference; blending difference; continued fraction; Thiele–Newton’s expansion; Viscovatov-like algorithm (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/7/8/696/pdf (application/pdf)
https://www.mdpi.com/2227-7390/7/8/696/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:7:y:2019:i:8:p:696-:d:254365

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().