2023
DOI: 10.48550/arxiv.2301.12998
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Towards stability results for global radial basis function based quadrature formulas

Jan Glaubitz,
Jonah A. Reeger

Abstract: Quadrature formulas (QFs) based on radial basis functions (RBFs) have become an essential tool for multivariate numerical integration of scattered data. Although numerous works have been published on RBF-QFs, their stability theory can still be considered as underdeveloped. Here, we strive to pave the way towards a more mature stability theory for global and function-independent RBF-QFs. In particular, we prove stability of these for compactly supported RBFs under certain conditions on the shape parameter and … Show more

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