On optimization of the RBF shape parameter in a grid-free local scheme for convection dominated problems over non-uniform centers
type: Item
instance of: scholarly article
title: On optimization of the RBF shape parameter in a grid-free local scheme for convection dominated problems over non-uniform centers
zbMATH Open document ID: 1427.65300
author: Y. V. S. S. Sanyasiraju
author: Ch. Satyanarayana
published in: Applied Mathematical Modelling
publication date: 2018-10-09T00:00:00Z
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 65D05
zbMATH DE Number: 6949441
zbMATH Keywords: grid-free scheme
zbMATH Keywords: radial basis function
zbMATH Keywords: convection-diffusion
zbMATH Keywords: multi-quadric
zbMATH Keywords: optimal shape parameter
describes a project that uses: rbf_qr
MaRDI profile type: Publication
full work available at URL: j.apm.2013.01.054
OpenAlex ID: W2056083784
cites work: Determination of a control parameter in a one-dimensional parabolic equation using the method of radial basis functions
cites work: A numerical method for two-dimensional Schrödinger equation using collocation and radial basis functions
cites work: A numerical method for solution of the two-dimensional sine-Gordon equation using the radial basis functions
cites work: On the solution of the non-local parabolic partial differential equations via radial basis functions
cites work: Numerical solution of the nonlinear Klein-Gordon equation using radial basis functions
cites work: A not-a-knot meshless method using radial basis functions and predictor-corrector scheme to the numerical solution of improved Boussinesq equation
cites work: A method for solving partial differential equations via radial basis functions: application to the heat equation
cites work: A Meshless Method Using Radial Basis Functions for the Numerical Solution of Two-Dimensional Complex Ginzburg-Landau Equation
cites work: Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier--Stokes equations
cites work: Scattered node compact finite difference-type formulas generated from radial basis functions
cites work: Local RBF-FD solutions for steady convection–diffusion problems
cites work: Local radial basis function based gridfree scheme for unsteady incompressible viscous flows
cites work: Scattered Data Interpolation: Tests of Some Method
cites work: The near-equivalence of five species of spectrally-accurate radial basis functions (RBFs): Asymptotic approximations to the RBF cardinal functions on a uniform, unbounded grid
cites work: Error estimates and condition numbers for radial basis function interpolation
cites work: Stable computation of multiquadric interpolants for all values of the shape parameter
cites work: A Stable Algorithm for Flat Radial Basis Functions on a Sphere
cites work: Stable Computations with Gaussian Radial Basis Functions
cites work: Adaptive meshless centres and RBF stencils for Poisson equation
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: An algorithm for selecting a good value for the parameter \(c\) in radial basis function interpolation
cites work: Improved accuracy of multiquadric interpolation using variable shape parameters
cites work: The Runge phenomenon and spatially variable shape parameters in RBF interpolation
cites work: On choosing ``optimal'' shape parameters for RBF approximation
cites work: Numerical experiments on optimal shape parameters for radial basis functions
cites work: On the optimal shape parameter for Gaussian radial basis function finite difference approximation of the Poisson equation
cites work: Formulation and experiments with high‐order compact schemes for nonuniform grids
cites work: Discrete Weighted Mean Approximation of a Model Convection-Diffusion Equation
DOI: 10.1016/J.APM.2013.01.054
description: scientific article; zbMATH DE number 6949441