Comparing RBF-FD approximations based on stabilized Gaussians and on polyharmonic splines with polynomials

Using radial basis function-generated finite differences (RBF-FD) to solve heat transfer equilibrium problems in domains with interfaces

(2017) Bradley Martin et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

Seismic modeling with radial basis function-generated finite differences (RBF-FD) – a simplified treatment of interfaces

(2017) Bradley Martin et al.   JOURNAL OF COMPUTATIONAL PHYSICS

On the role of polynomials in RBF-FD approximations: II. Numerical solution of elliptic PDEs

(2017) Victor Bayona et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Enhancing finite differences with radial basis functions: Experiments on the Navier–Stokes equations

(2016) Natasha Flyer et al.   JOURNAL OF COMPUTATIONAL PHYSICS

On the role of polynomials in RBF-FD approximations: I. Interpolation and accuracy

(2016) Natasha Flyer et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Laurent series based RBF-FD method to avoid ill-conditioning

(2015) Pedro Gonzalez-Rodriguez et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

Interpolation with variably scaled kernels

(2014) M. Bozzini et al.   IMA JOURNAL OF NUMERICAL ANALYSIS

A novel upwind-based local radial basis function differential quadrature method for convection-dominated flows

(2013) Y.L. Chan et al.   COMPUTERS & FLUIDS

Stable calculation of Gaussian-based RBF-FD stencils

(2012) Bengt Fornberg et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Stable Evaluation of Gaussian Radial Basis Function Interpolants

(2012) Gregory E. Fasshauer et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Optimal constant shape parameter for multiquadric based RBF-FD method

(2011) Victor Bayona et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Optimal variable shape parameter for multiquadric based RBF-FD method

(2011) Victor Bayona et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Stable Computations with Gaussian Radial Basis Functions

(2011) Bengt Fornberg et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Local RBF-DQ method for two-dimensional transient heat conduction problems

(2010) Soheil Soleimani et al.   INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER

Numerical simulation of joule heating phenomenon using meshless RBF-DQ method

(2010) H. Bararnia et al.   INTERNATIONAL JOURNAL OF THERMAL SCIENCES

RBF-FD formulas and convergence properties

(2010) Victor Bayona et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A Stable Algorithm for Flat Radial Basis Functions on a Sphere

(2007) Bengt Fornberg et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING