An improved order of approximation for thin-plate spline interpolation in the unit disc

Numerische Mathematik

Volumn 84, Issue 3, 2000, Pages 451-474

  Johnson, M J ^a  

^a KUWAIT UNIVERSITY   (Kuwait)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034405078     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110050005     Document Type: Article

References (10)

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2. Duchon, J. (1977): Splines minimizing rotation-invariant seminorms in Sobolev spaces. Constructive Theory of Functions of Several Variables, Lecture Notes in Mathematics 571. (W. Schempp, K. Zeller, eds.), Springer, Berlin, pp. 85-100
3. m-splines. RAIRO Analyse Numerique 12, 325-334
4. Gelfand, I.M., Shilov, G.E. (1964): Generalized Functions, vol. 1. Academic Press
5. Gilbarg D., Trudinger, N.S. (1983): Elliptic Partial Differential Equations of Second Order (2nd ed). Springer, Berlin Heidelberg New York
6. Johnson, M.J. (1998): A bound on the approximation order of surface splines. Constr. Approx. 14, 429-438
7. Powell, M.J.D. (1994): The uniform convergence of thin plate spline interpolation in two dimensions. Numer. Math. 68 107-128
8. Rudin, W. (1973): Functional Analysis. McGraw-Hill, New York
9. Stein, E.M., Weiss, G. (1971): Introduction to Fourier Analysis on Euclidean Spaces. Princeton Univ. Press, Princeton, NJ
10. Wu, Z., Schaback, R. (1993): Local error estimates for radial basis function interpolation of scattered data. IMA J. Numer. Anal. 13 13-27