A primer on radial basis functions with applications to the geosciences

By Bengt Fornberg, Natasha Flyer. CBMS-NSF Regional Conference Series in Applied Mathematics, 2015

310 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

The AAA Algorithm for Rational Approximation (2016, background): “Radial basis functions, for example, have excellent conditioning properties when they are composed of pieces that are well separated [30].”
On the role of polynomials in RBF-FD approximations: II. Numerical solution of elliptic PDEs (2017, background): “This approach benefits from the properties of RBF-FD methods (such as high-order convergence, local node refinement, geometric flexibility, ease of program, etc) while it bypasses complications related to the selection of a shape parameter, ill-conditioning of some RBF collocation matrices and poten”