Optimal constant shape parameter for multiquadric based RBF-FD method (Q655060)

scientific article; zbMATH DE number 5992210

Language	Label	Description	Also known as
English	Optimal constant shape parameter for multiquadric based RBF-FD method	scientific article; zbMATH DE number 5992210

Statements

instance of

scholarly article

0 references

title

Optimal constant shape parameter for multiquadric based RBF-FD method (English)

0 references

0 references

0 references

0 references

Journal of Computational Physics

0 references

publication date

28 December 2011

0 references

zbMATH Keywords

radial basis functions

0 references

multiquadric

0 references

mesh-free

0 references

shape parameter

0 references

describes a project that uses

Matlab

0 references

MaRDI profile type

Publication

0 references

full work available at URL

https://doi.org/10.1016/j.jcp.2011.06.005

0 references

cites work

RBF-FD formulas and convergence properties

0 references

Optimal variable shape parameter for multiquadric based RBF-FD method

0 references

Use of singularity capturing functions in the solution of problems with discontinuous boundary conditions

0 references

The parameter \(R^ 2\) in multiquadric interpolation

0 references

Local RBF-FD solutions for steady convection–diffusion problems

0 references

Adaptive meshless centres and RBF stencils for Poisson equation

0 references

Error estimates of local multiquadric-based differential quadrature (LMQDQ) method through numerical experiments

0 references

Interpolation in the limit of increasingly flat radial basis functions

0 references

Adaptive residual subsampling methods for radial basis function interpolation and collocation problems

0 references

Q3446085

0 references

On choosing ``optimal'' shape parameters for RBF approximation

0 references

Rotational transport on a sphere: local node refinement with radial basis functions

0 references

Stable computation of multiquadric interpolants for all values of the shape parameter

0 references

The Runge phenomenon and spatially variable shape parameters in RBF interpolation

0 references

Stabilization of RBF-generated finite difference methods for convective PDEs

0 references

Scattered Data Interpolation: Tests of Some Method

0 references

On the efficiency of certain quasi-random sequences of points in evaluating multi-dimensional integrals

0 references

Error estimate, optimal shape factor, and high precision computation of multiquadric collocation method

0 references

Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates

0 references

Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations

0 references

Improved accuracy of multiquadric interpolation using variable shape parameters

0 references

Circumventing the ill-conditioning problem with multiquadric radial basis functions: Applications to elliptic partial differential equations

0 references

A numerical study of some radial basis function based solution methods for elliptic PDEs

0 references

Theoretical and computational aspects of multivariate interpolation with increasingly flat radial basis functions

0 references

Local multiquadric approximation for solving boundary value problems

0 references

An algorithm for selecting a good value for the parameter \(c\) in radial basis function interpolation

0 references

A local radial basis functions -- finite difference technique for the analysis of composite plates

0 references

Local radial basis function based gridfree scheme for unsteady incompressible viscous flows

0 references

Meshfree explicit local radial basis function collocation method for diffusion problems

0 references

Q3411984

0 references

Minimal positive stencils in meshfree finite difference methods for the Poisson equation

0 references

Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier--Stokes equations

0 references

The use of PDE centres in the local RBF Hermitian method for 3D convective-diffusion problems

0 references

On using radial basis functions in a ``finite difference mode'' with applications to elasticity problems

0 references

A point interpolation meshless method based on radial basis functions

0 references

The role of the multiquadric shape parameters in solving elliptic partial differential equations

0 references

Scattered node compact finite difference-type formulas generated from radial basis functions

0 references

Identifiers

zbMATH Open document ID

1343.65128

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

10.1016/J.JCP.2011.06.005

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:655060