A comparison analysis between unsymmetric and symmetric radial basis function collocation methods for the numerical solution of partial differential equations
type: Item
instance of: scholarly article
title: A comparison analysis between unsymmetric and symmetric radial basis function collocation methods for the numerical solution of partial differential equations
zbMATH Open document ID: 0999.65135
DOI: 10.1016/S0898-1221(01)00305-4
author: V. Barraco
author: H. Power
publication date: 2002-08-15T00:00:00Z
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 1781521
zbMATH Keywords: numerical examples
zbMATH Keywords: symmetric radial basis function
zbMATH Keywords: mesh free technique
zbMATH Keywords: numerical comparison
zbMATH Keywords: collocation methods
zbMATH Keywords: convection-diffusion equation
zbMATH Keywords: symmetric method
zbMATH Keywords: algorithm
zbMATH Keywords: unsymmetric method
zbMATH Keywords: high Péclet number
zbMATH Keywords: free boundary conditions
zbMATH Keywords: unbounded domains
MaRDI profile type: Publication
cites work: Q4380745
cites work: Interpolation of scattered data: distance matrices and conditionally positive definite functions
cites work: Scattered Data Interpolation: Tests of Some Method
cites work: Estimation of gradients from scattered data
cites work: Q4110059
cites work: The uniform convergence of thin plate spline interpolation in two dimensions
cites work: Multivariate Interpolation and Conditionally Positive Definite Functions. II
cites work: The parameter \(R^ 2\) in multiquadric interpolation
cites work: Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
cites work: Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
cites work: Q4018018
cites work: Advances in Computational Mathematics
cites work: Convergence order estimates of meshless collocation methods using radial basis functions
cites work: On the use of radial basis functions in the solution of elliptic boundary value problems
cites work: Application of the multiquadric method for numerical solution of elliptic partial differential equations
cites work: An efficient numerical scheme for Burger equation
cites work: Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
cites work: Improved multiquadric method for elliptic partial differential equations via PDE collocation on the boundary
full work available at URL: s0898-1221(01)00305-4
OpenAlex ID: W1977027705
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 1781521