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Optimal variable shape parameter for multiquadric based RBF-FD method - MaRDI portal

Optimal variable shape parameter for multiquadric based RBF-FD method (Q419601)

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scientific article; zbMATH DE number 6036607

Language	Label	Description	Also known as
English	Optimal variable shape parameter for multiquadric based RBF-FD method	scientific article; zbMATH DE number 6036607

Statements

scholarly article

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

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Journal of Computational Physics

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publication date

18 May 2012

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zbMATH Keywords

radial basis functions

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multiquadric

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mesh-free

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shape parameter

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MaRDI profile type

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full work available at URL

https://doi.org/10.1016/j.jcp.2011.11.036

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RBF-FD formulas and convergence properties

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Optimal constant shape parameter for multiquadric based RBF-FD method

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

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Local RBF-FD solutions for steady convection–diffusion problems

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Adaptive meshless centres and RBF stencils for Poisson equation

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

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Stabilization of RBF-generated finite difference methods for convective PDEs

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

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

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

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Optimization by Simulated Annealing

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

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Local multiquadric approximation for solving boundary value problems

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

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

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Meshfree explicit local radial basis function collocation method for diffusion problems

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

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

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

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

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A point interpolation meshless method based on radial basis functions

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

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.JCP.2011.11.036

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Sitelinks

Mathematics(1 entry)

mardi Publication:419601

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