Work

Spherical Shepard-Bernoulli operator

Year: 2024

Type: article

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.

Source: Journal of Applied Mathematics and Computing

DOI: 10.1007/s12190-024-02285-z

Authors: Teodora Cătinaş, Andra Malina

Institutions: Babeș-Bolyai University, Tiberiu Popoviciu Institute of Numerical Analysis

Language: English

Topic: Mathematical Approximation and Integration

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

OpenAlex ID: W4403790198