Hermite interpolation on the unit sphere and limits of Lagrange projectors-Reference-Cited by-同舟云学术

Hermite interpolation on the unit sphere and limits of Lagrange projectors

Published:2020-05-20 Issue:2 Volume:41 Page:1441-1464
ISSN:0272-4979
Container-title:IMA Journal of Numerical Analysis
language:en
Short-container-title:

Author:

Van Manh Phung¹

Affiliation:

1. Department of Mathematics, Hanoi National University of Education, 136 Xuan Thuy Street, Cau Giay, Hanoi, Vietnam

Abstract

Abstract We construct new Hermite and Lagrange interpolation schemes on the unit sphere in $\mathbb R^3$. We give Newton-type formulas for interpolation polynomials and use them to show that the Hermite projectors are the limits of Lagrange projectors when interpolation points coalesce.

Publisher

Oxford University Press (OUP)

Subject

Applied Mathematics,Computational Mathematics,General Mathematics

Link

http://academic.oup.com/imajna/article-pdf/41/2/1441/37315845/draa026.pdf

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