Abstract

We consider the problem of interpolating large sets of scattered data on the sphere using Shepard-Bernoulli operators constructed based on two types of basis functions. We study the interpolation properties and the approximation errors of the methods proposed here. We evaluate the efficiency using several test functions and the practical applicability through two real-data problems.

Authors

Teodora Cătinaş
Faculty of Mathematics and Computer Science, Babeş-Bolyai University, Cluj-Napoca, Romania

Andra Malina
Faculty of Mathematics and Computer Science, Babeş-Bolyai University, Cluj-Napoca, Romania
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy, Cluj-Napoca, Romania

Keywords

Interpolation of scattered data; Interpolation on sphere; Shepard operator; Bernoulli operator; Error estimations

Paper coordinates

T. Catinas, A. Malina, Spherical Shepard-Bernoulli operator, J. Appl. Math. Comput., 2024, https://doi.org/10.1007/s12190-024-02285-z

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About this paper

Journal

Journal of Applied Mathematics and Computing

Publisher Name

Springer Link

DOI

https://doi.org/10.1007/s12190-024-02285-z

Print ISSN
1598-5865
Online ISSN

1865-2085

Paper (preprint) in HTML form

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2024

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