Approximation on the sphere using radial basis functions plus polynomials

Author:

Sloan Ian H.,Sommariva Alvise

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Reference19 articles.

1. Chen, D., Menegatto, V.A., Sun, X.: A necessary and sufficient condition for strictly positive definite functions on spheres. Proc. Amer. Math. Soc. 131, 2733–2740 (2003)

2. NASA.: The NASA GSFC and NIMA Joint Geopotential Model. http://cddis.gsfc.nasa.gov/926/egm96/ (1998)

3. Fasshauer, G.E., Schumaker, L.L.: Scattered data fitting on the sphere. In: Daehlen, M., Lyche, T., Schumaker, L.L. (eds.) Mathematical Methods for Curves and Surfaces II, pp. 117–166. Vanderbilt University Press, Nashville, TN (1998)

4. Freeden, W.: On spherical spline interpolation and approximation. Math. Methods Appl. Sci. 3, 551–575 (1981)

5. Freeden, W., Gervens, T., Schreiner, M.: Constructive Approximation on the Sphere (With Applications to Geomathematics). Oxford Science (Clarendon), Oxford, UK (1998)

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