A stable algorithm for divergence-free radial basis functions in the flat limit

The direct method used for calculating smooth radial basis function (RBF) interpolants in the flat limit becomes numerically unstable. The RBF-QR algorithm bypasses this ill-conditioning using a clever change of basis technique. We extend this method for computing interpolants involving matrix-value...

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Veröffentlicht in:	arXiv.org 2020-05
Hauptverfasser:	Drake, Kathryn P, Wright, Grady B
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Computer Science - Numerical Analysis Divergence Fields (mathematics) Ill-conditioned problems (mathematics) Mathematics - Numerical Analysis QR algorithms Radial basis function
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