Adaptive radial basis function methods for time dependent partial differential equations
type: Item
instance of: scholarly article
title: Adaptive radial basis function methods for time dependent partial differential equations
zbMATH Open document ID: 1069.65109
author: Scott A. Sarra
published in: Applied Numerical Mathematics
publication date: 2005-06-01T00:00:00Z
Mathematics Subject Classification ID: 65M70
zbMATH DE Number: 2173601
zbMATH Keywords: radial basis function
zbMATH Keywords: adaptive grid
zbMATH Keywords: numerical examples
zbMATH Keywords: Burgers equation
zbMATH Keywords: advection equation
zbMATH Keywords: adaptive algorithm
zbMATH Keywords: collocation
zbMATH Keywords: spectral methods
describes a project that uses: MOVCOL
MaRDI profile type: Publication
full work available at URL: j.apnum.2004.07.004
OpenAlex ID: W2137046381
cites work: A Moving Finite Element Method with Error Estimation and Refinement for One-Dimensional Time Dependent Partial Differential Equations
cites work: An adaptive pseudospectral method for discontinuous problems
cites work: An adaptive pseudo-spectral method for reaction diffusion problems
cites work: On the numerical solution of one-dimensional PDEs using adaptive methods based on equidistribution
cites work: Spectral convergence of multiquadric interpolation
cites work: Q4550961
cites work: Q4039908
cites work: The parameter \(R^ 2\) in multiquadric interpolation
cites work: Analytic wavelets generated by radial functions
cites work: Dual bases and discrete reproducing kernels: a unified framework for RBF and MLS approximation
cites work: Observations on the behavior of radial basis function approximations near boundaries
cites work: Stable computation of multiquadric interpolants for all values of the shape parameter
cites work: Theory and applications of the multiquadric-biharmonic method. 20 years of discovery 1968-1988
cites work: Review of some adaptive node-movement techniques in finite-element and finite-difference solutions of partial differential equations
cites work: A moving collocation method for solving time dependent partial differential equations
cites work: A Wavelet-Optimized, Very High Order Adaptive Grid and Order Numerical Method
cites work: Circumventing the ill-conditioning problem with multiquadric radial basis functions: Applications to elliptic partial differential equations
cites work: A modified Chebyshev pseudospectral method with an \(O(N^{-1})\) time step restriction
cites work: Q3973499
cites work: Multivariate Interpolation and Conditionally Positive Definite Functions. II
cites work: Interpolation of scattered data: distance matrices and conditionally positive definite functions
cites work: Q4026010
cites work: An algorithm for selecting a good value for the parameter \(c\) in radial basis function interpolation
cites work: A simple adaptive technique for nonlinear wave problems
cites work: Family of spectral filters for discontinuous problems
cites work: Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
cites work: Error estimates for interpolation by compactly supported radial basis functions of minimal degree
DOI: 10.1016/J.APNUM.2004.07.004
description: scientific article; zbMATH DE number 2173601