| 1 |
M. J. D. Powell, The Theory of Radial Basis Function Approximation in 1990, Advances in Numerical Analysis Vol. II:Wavelets, Subdivision Algorithms and Radial Basis Functions (W.A. Light ed.), Oxford University Press, (1992), 105-210.
|
| 2 |
H. Wendland, Scattered Data Approximation, Cambridge Monographs on Applied and Computational Mathematics, Cambridge University Press, Cambridge, UK, 2005.
|
| 3 |
Z. Wu and R. Schaback, Local Error Estimates for Radial Basis Function Interpolation of Scattered Data, IMA J. Numer. Anal., 13 (1993), 13-27.
DOI
ScienceOn
|
| 4 |
J. Yoon, Approximation in $} "$L_{p}(R^{d})$") from a Space Spanned by the Scattered Shifts of a Radial Basis Function, Constr. Approx. 17 (2001), 227-247.
DOI
ScienceOn
|
| 5 |
J. Yoon, Computational Aspects of Approximation to Scattered Data by Using 'Shifted' Thin-Plate Spline, Adv. Comp. Math. 14 (2001), no. 4, 329-359.
DOI
ScienceOn
|
| 6 |
N. Dyn and A. Ron, Radial basis function approximation: from gridded centers to scattered centers, Proc. London Math. Soc. 71 (1995), 76-108.
DOI
|
| 7 |
G. B. Folland, Real Analysis, John Wiley & Sons, New York, 1984.
|
| 8 |
W. R. Madych and S. A. Nelson, Multivariate Interpolation and Conditionally Positive Functions I, Approx. Theory Appl. 4 (1988), 77-89.
|
| 9 |
I.M. Gelfand and G.E. Shilov, Generalized Functions, Vol. 1, Academic Press, 1964.
|
| 10 |
D. Levin, The approximation power of moving least-squares, Math. Comp. 67 (1998), 1517- 1531.
DOI
ScienceOn
|
| 11 |
W. R. Madych and S. A. Nelson, Multivariate Interpolation and Conditionally Positive Functions II, Math. Comp. 54 (1990), 211-230.
DOI
ScienceOn
|
| 12 |
N. Dyn, Interpolation and Approximation by Radial and Related Functions, Approximation Theory VI, (C. K. Chui, L. L. Schumaker and J. Ward eds.), Academic press, (1989), 211- 234.
|
| 13 |
M. Abramowitz and I. Stegun, A Handbook of Mathematical Functions, Dover Publications, New York, 1970.
|
| 14 |
M. D. Buhmann, Radial Basis Functions, Cambridge Monographs on Applied and Computational Mathematics, Cambridge University Press, 2004.
|
| 15 |
M. D. Buhmann, N. Dyn, and D. Levin, On quasi-interpolation with radial basis functions with scattered centres, Constr. Approx. 11 (1995), 239-254.
DOI
ScienceOn
|
| 16 |
N. Dyn, I.R.H. Jackson, D. Levin, and A. Ron, On Multivariate Approximation by Integer Translates of a basis Function, Israel J. Math. 78 (1992), 95-130.
DOI
ScienceOn
|
webmaster
