Computational test of approximation of functions and their derivatives by radial basis functions

Authors:
Xin Li;C. H. Ho;C. S. Chen
Affiliations:
Department of Mathematical Sciences, University of Neveda, Las Vegas, Las Vegas, NV 89154-4020, USA;Department of Mathematical Sciences, University of Neveda, Las Vegas, Las Vegas, NV 89154-4020, USA;Department of Mathematical Sciences, University of Neveda, Las Vegas, Las Vegas, NV 89154-4020, USA
Venue:
Neural, Parallel & Scientific Computations
Year:
2002

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Abstract

Based on the theoretical results of (Li & Micchelli, 2000) on approximation by radial basis functions, a rich class of new radial basis functions has been explicitly constructed for the purpose of implementing the simultaneous approximation of functions and their derivatives, which 2D and 3D numerical examples are conducted to show the efficiency of the computation.