RBF Collocation

C.T. Mouat and R.K. Beatson

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Abstract

In this paper we present new numerical results for solution of partial differential equations by RBF collocation. These results show that collocation with a basic function from the Matern class can be more accurate than collocation with the multiquadric basic function. Also, we present and implement an algorithm which solves linear and non-linear collocation equations with the multiquadric when N is large and c < 2 / N.

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