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Radial basis approximation and its application to biharmonic equation

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Abstract

Order of approximating functions and their derivatives by radial bases on arbitrarily scattered data is derived. And then radial bases are used to construct solutions of biharmonic equations that approximate potential integrals for the exact solutions with the order of approximation derived.

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Authors and Affiliations

  1. Department of Mathematical Sciences, University of Nevada, Las Vegas, Las Vegas, NV, 89154-4020, USA

    Xin Li

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  1. Xin Li
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Correspondence to Xin Li.

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Communicated by Juan Manuel Peña.

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Li, X. Radial basis approximation and its application to biharmonic equation. Adv Comput Math 32, 275–302 (2010). https://doi.org/10.1007/s10444-008-9107-2

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  • DOI: https://doi.org/10.1007/s10444-008-9107-2

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