Effective condition number for the selection of the RBF shape parameter with the fictitious point method

DOI10.1016/j.apnum.2022.04.003zbMath1503.65305OpenAlexW4226109954MaRDI QIDQ2143088

Yanyan Li

Publication date: 30 May 2022

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2022.04.003

zbMATH Keywords

radial basis functionscollocationmultiquadricseffective condition numbershape parameterKansa methodfictitious point method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical computation of matrix norms, conditioning, scaling (65F35) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Numerical radial basis function approximation (65D12)

Related Items (3)

The enhanced boundary knot method with fictitious sources for solving Helmholtz-type equations ⋮ On the selection of a better radial basis function and its shape parameter in interpolation problems ⋮ On the determination of locating the source points of the MFS using effective condition number

Uses Software

• Matlab

Cites Work

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• Scattered Data Interpolation: Tests of Some Method
• The Lack of Influence of the Right-Hand Side on the Accuracy of Linear System Solution
• Improved RBF Collocation Methods for Fourth Order Boundary Value Problems
• Effective condition number and its applications

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