Author(s): Gregory E. Fasshauer
In this paper we report on two different experiments dealing with the nu-
merical solution of differential equations by radial basis functions: 1) the
solution of a two-point boundary value problem; 2) the solution of a two-
dimensional Poisson equation.
In the second experiment we contrast a mul-
tilevel collocation algorithm based on locally supported basis functions with
two different direct solution approaches (one based on locally supported
basis functions, the other on globally supported multiquadrics) .
experiments the effects of a smoothing operation are studied.
Since their introduction in the 1970s radial basis functions (RBFs) have
attracted a lot of attention from mathematicians working in the area of
Size: 1,032 kb
Paper DOI: 10.2495/BT990271
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