Stable computation of differentiation matrices and scattered node stencils based on Gaussian radial basis functions

E Larsson, E Lehto, A Heryudono, B Fornberg - SIAM Journal on Scientific …, 2013 - SIAM
Radial basis function (RBF) approximation has the potential to provide spectrally accurate
function approximations for data given at scattered node locations. For smooth solutions, the …

Solution to PDEs using radial basis function finite-differences (RBF-FD) on multiple GPUs

EF Bollig, N Flyer, G Erlebacher - Journal of Computational Physics, 2012 - Elsevier
This paper presents parallelization strategies for the radial basis function-finite difference
(RBF-FD) method. As a generalized finite differencing scheme, the RBF-FD method …

Multi-GPU solutions of geophysical PDEs with radial basis function-generated finite differences

EF Bollig - 2013 - search.proquest.com
Many numerical methods based on Radial Basis Functions (RBFs) are gaining popularity in
the geosciences due to their competitive accuracy, functionality on unstructured meshes …