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RBF based quadrature on the sphere
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Title: RBF based quadrature on the sphere

Creator:

Kindelan, Manuel ; González-Rodríguez, Pedro ; Álvarez, Diego

Date:

2022

Resource Type:

artykuł

Contributor:

Wiśniewski, Remigiusz - ed. ; Gomes, Luis - ed. ; Wan, Shaohua - ed.

Subtitle:

.

Group publication title:

AMCS, volume 32 (2022)

Abstract:

The paper describes a new RBF-FD based technique to compute quadrature weights on the sphere. In the proposed method, the sphere is divided into rectangles in the latitude-azimuth coordinate system, and the function is integrated over each rectangle using RBF interpolation. The method is easy to implement and its accuracy is comparable to that based on SPH expansions. One advantage of the proposed method is its ability to handle non-uniform node distributions. On this respect, we propose a new algorithm to cluster nodes in regions of steep changes in the function. It is a repulsion-based algorithm with a non-uniform distribution of electrical charges. We show that, using node clustering, the accuracy of the method can be significantly improved.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Resource Identifier:

oai:zbc.uz.zgora.pl:86459

DOI:

10.34768/amcs-2022-0034

Pages:

467-478

Source:

AMCS, volume 32, number 3 (2022) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego

Subject and keywords:

RBF-FD quadrature sphere

Object collections:

Last modified:

Jul 23, 2025

In our library since:

Jul 23, 2025

Number of object content hits:

13

All available object's versions:

https://zbc.uz.zgora.pl/repozytorium/publication/101509

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Edition name Date
RBF based quadrature on the sphere Jul 23, 2025

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