Applications of Radial Basis Functions: Sobolev-Orthogonal Functions, Radial Basis Functions and Spectral Methods
JUSTUS-LIEBIG-UNIV GIESSEN (GERMANY) MATHEMATICS INST
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In this paper we consider an application of Sobolev-orthogonal functions and radial basis function to the numerical solution of partial differential equations. We develop the fundamentals of a spectral method, present examples via reaction-diffusion partial differential equations and discuss briefly some links with theory of wavelets.
- Numerical Mathematics
- Theoretical Mathematics