An examination of evaluation algorithms for the RBF method

DOI10.1016/j.enganabound.2016.11.006zbMath1403.65010OpenAlexW2559180736MaRDI QIDQ1655226

Scott A. Sarra, Samuel Cogar

Publication date: 9 August 2018

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2016.11.006

zbMATH Keywords

radial basis functionnumerical PDEsalternative basisextended precision

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Approximation by other special function classes (41A30) Error analysis and interval analysis (65G99)

Related Items (9)

A semi-analytical collocation Trefftz scheme for solving multi-term time fractional diffusion-wave equations ⋮ Solution of multi-dimensional Klein-Gordon-Zakharov and Schrödinger/Gross-Pitaevskii equations via local radial basis functions-differential quadrature (RBF-DQ) technique on non-rectangular computational domains ⋮ Kansa-RBF algorithms for elliptic BVPs in annular domains with mixed boundary conditions ⋮ Leave-two-out cross validation to optimal shape parameter in radial basis functions ⋮ A rational radial basis function method for accurately resolving discontinuities and steep gradients ⋮ An efficient boundary collocation scheme for transient thermal analysis in large-size-ratio functionally graded materials under heat source load ⋮ A Unified Meshfree Pseudospectral Method for Solving Both Classical and Fractional PDEs ⋮ A boundary-type meshless solver for transient heat conduction analysis of slender functionally graded materials with exponential variations ⋮ Adaptive selection strategy of shape parameters for LRBF for solving partial differential equations

Uses Software

• Matlab
• advanpix
• RBFT
• GaussQR
• rbf_qr

Cites Work

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• A random variable shape parameter strategy for radial basis function approximation methods
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• Stable Computations with Gaussian Radial Basis Functions
• On Deriving the Inverse of a Sum of Matrices
• Scattered Data Interpolation: Tests of Some Method
• The Early Use of Matrix Diagonal Increments in Statistical Problems
• Radial Basis Functions
• Enlargement Methods for Computing the Inverse Matrix
• Scattered Data Approximation

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