Spectral approximation orders of radial basis function interpolation on the Sobolev space

SIAM Journal on Mathematical Analysis

Volumn 33, Issue 4, 2001, Pages 946-958

  Yoon, Jungho ^a  

^a ARIZONA STATE UNIVERSITY   (United States)

Author keywords

"Shifted" surface spline; Interpolation; Multiquadric; Positive definite function; Radial basis function; Sobolev space

Indexed keywords

EID: 0035556014     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141000373811     Document Type: Article

References (23)

1. Regarding the p-norms of radial basis interpolation matrices
2. New developments in the theory of radial basis functions interpolation
3. Spectral convergence of multiquadric interpolation
4. Interpolation and approximation by radial and related functions
5. Error estimates for approximation by radial basis functions
6. Interpolation of scattered data: Distance matrices and conditionally positive functions
7. Multivariate interpolation and conditionally positive function I
8. Multivariate interpolation and conditionally positive function II
9. Bounds on multivariate polynomials and exponential error estimates for multiquadric interpolation
10. Norms of inverses and condition numbers for matrices associated with scattered data
11. On condition numbers associated with radial-function interpolation
12. The theory of radial basis functions approximation in 1990
13. Error estimates and condition numbers for radial basis function interpolation
14. Approximation by radial functions with finitely many centers
15. Error estimates for interpolation by compactly supported radial basis functions of minimal degree
16. Local error estimates for radial basis function interpolation of scattered data
17. Embeddings and extensions in analysis
18. d) from a space spanned by the scattered shifts of radial basis function
19. Interpolation by radial basis functions on Sobolev space