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Radial Functions on Compact Support

by M. D. Buhmann

(Report number 1995-13)

Abstract
In this paper, radial basis functions that are compactly supported and give rise to positive definite interpolation matrices for scattered data are discussed. They are related to the well-known thin plate spline radial functions which are highly useful in applications for gridfree approximation methods. Also, encouraging approximation results for the compactly supported radial functions are shown.

Keywords: scalar advection equation, difference scheme,accuracy, stability, order star, algebraic function, Riemann surface

@Techreport{B95_180,
  author = {M. D. Buhmann},
  title = {Radial Functions on Compact Support},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {1995-13},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports1995/1995-13.pdf },
  year = {1995}
}

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