球面有限差分法的高度局部化 RBF 拉格朗日函数

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2024-03-15 DOI:10.1007/s10543-024-01016-x

W. Erb, T. Hangelbroek, F. J. Narcowich, C. Rieger, J. D. Ward

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引用次数: 0

摘要

本文旨在展示如何利用球面上快速衰减的 RBF 拉格朗日函数来创建一种基于径向基函数的数值可行、稳定的有限差分方法（类 RBF-FD 方法）。对于某些类别的 PDEs，这种方法可为随着离散化精细度的增加而适度增长的模板带来严格的收敛估计值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Highly localized RBF Lagrange functions for finite difference methods on spheres

The aim of this paper is to show how rapidly decaying RBF Lagrange functions on the sphere can be used to create a numerically feasible, stable finite difference method based on radial basis functions (an RBF-FD-like method). For certain classes of PDEs this approach leads to rigorous convergence estimates for stencils which grow moderately with increasing discretization fineness.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.

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