A matrix decomposition RBF algorithm: approximation of functions and their derivatives

DOI10.1016/j.apnum.2006.03.028zbMath1107.65305OpenAlexW1970674367MaRDI QIDQ870303

Andreas Karageorghis, Yiorgos-Sokratis Smyrlis, Ching-Shyang Chen

Publication date: 12 March 2007

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2006.03.028

zbMATH Keywords

interpolationalgorithmnumerical examplesradial basis functionsderivativeselliptic boundary value problemscirculant matriceslarge-scale problemsboundary meshless methods

Mathematics Subject Classification ID

Numerical interpolation (65D05) Numerical differentiation (65D25)

Related Items (24)

An adaptive-hybrid meshfree approximation method ⋮ Matrix decomposition MFS algorithms for elasticity and thermo-elasticity problems in axisymmetric domains ⋮ The MFS as a basis for the PIM or the HAM -- comparison of numerical methods ⋮ Circulant matrix and conformal mapping for solving partial differential equations ⋮ Efficient MFS algorithms for inhomogeneous polyharmonic problems ⋮ Radial basis function interpolation on irregular domain through conformal transplantation ⋮ A Kansa-radial basis function method for elliptic boundary value problems in annular domains ⋮ A meshless method for solving mKdV equation ⋮ Matrix decomposition RBF algorithm for solving 3D elliptic problems ⋮ On the selection of a better radial basis function and its shape parameter in interpolation problems ⋮ Leave-two-out cross validation to optimal shape parameter in radial basis functions ⋮ Local RBF Algorithms for Elliptic Boundary Value Problems in Annular Domains ⋮ Efficient Kansa-type MFS algorithm for elliptic problems ⋮ Kansa-RBF Algorithms for Elliptic Problems in Axisymmetric Domains ⋮ Kansa-RBF algorithms for elliptic problems in regular polygonal domains ⋮ The method of fundamental solutions for elliptic problems in circular domains with mixed boundary conditions ⋮ Multi-level meshless methods based on direct multi-elliptic interpolation ⋮ Efficient MFS algorithms in regular polygonal domains ⋮ RBF-DQ algorithms for elliptic problems in axisymmetric domains ⋮ The radial basis function-differential quadrature method for elliptic problems in annular domains ⋮ A meshless method for numerical solution of the one-dimensional wave equation with an integral condition using radial basis functions ⋮ A shock-capturing meshless scheme using RBF blended interpolation and moving least squares ⋮ Multiquadric quasi‐interpolation methods for solving partial differential algebraic equations ⋮ Computing with Functions in Spherical and Polar Geometries II. The Disk

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