Exact polynomial reproduction for oscillatory radial basis functions on infinite lattices

Computers and Mathematics with Applications

Volumn 51, Issue 8 SPEC. ISS., 2006, Pages 1199-1208

  Flyer, N ^a  

^a NATIONAL CENTER FOR ATMOSPHERIC RESEARCH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FUNCTION EVALUATION; INTERPOLATION; POLYNOMIALS; PROBLEM SOLVING;

INTERPOLATION PROBLEMS; POLYNOMIAL REPRODUCTION; RADIAL BASIS FUNCTIONS;

RADIAL BASIS FUNCTION NETWORKS;

EID: 33745902241     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2006.04.003     Document Type: Article

References (10)

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3. Fornberg B., Wright C., and Larsson E. Some observations regarding interpolants in the limit of flat radial basis functions. Computers Math. Applic. 47 1 (2004) 37-55
4. Fornberg B. A Practical Guide to Pseudospectral Methods (1996), Cambridge University Press
5. Fornberg B., and Wright G. Stable computation of multiquadric interpolants for all values of the shape parameter. Computers Math. Applic. 48 5/6 (2004) 853-867
6. R. Schaback, Multivariate interpolation by polynomials and radial basis functions, Constr. Approx., (submitted).
7. Powell M.J.D. The theory of radial basis function approximation in 1990. In: Light W. (Ed). Advances in Numerical Analysis, Volume II: Wavelets, Subdivision Algorithms and Radial Functions (1992), Oxford University Press, Oxford, UK 105-210
8. Buhmann M.D. Radial Basis Functions (2003), Cambridge University Press
9. Arsac J. Fourier Transforms and the Theory of Distributions (1966), Prentice-Hall, Englewood Cliffs, NJ
10. Lighthill M.J. Fourier Analysis and Generalised Functions (1958), Cambridge University Press