Error estimation for the invariant scheme of charge simulation method on a disc with scattered points

DOI10.1007/S13160-014-0135-7zbMath1300.65077OpenAlexW2024560653MaRDI QIDQ403841

Yoshihito Kazashi, Masaaki Sugihara

Publication date: 29 August 2014

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13160-014-0135-7

zbMATH Keywords

numerical exampleerror estimationcollocationradial basis functioncharge simulation method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

Cites Work

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• Approximation on the sphere using radial basis functions plus polynomials
• Unique solvability of the linear system appearing in the invariant scheme of the charge simulation method
• \(L_{p}\)-error estimates for radial basis function interpolation on the sphere
• Improved error bounds for scattered data interpolation by radial basis functions
• Scattered Data Approximation

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