Approximation orders for interpolation by surface splines to rough functions

IMA Journal of Numerical Analysis

Volumn 24, Issue 2, 2004, Pages 179-192

  Brownlee, Rob ^a   Light, Will ^a  

^a UNIVERSITY OF LEICESTER   (United Kingdom)

Author keywords

Error estimates; Extension theorems; Interpolation; Sobolev space; Surface splines

Indexed keywords

ERRORS; SOBOLEV SPACES;

APPROXIMATION OF FUNCTIONS; APPROXIMATION ORDERS; ASYMPTOTIC BEHAVIOUR; ERROR ESTIMATES; EXTENSION THEOREM; INTERPOLATION POINTS; NATURAL FUNCTIONS; RADIAL BASIC FUNCTION;

INTERPOLATION;

EID: 4043109241     PISSN: 02724979     EISSN: None     Source Type: Journal    
DOI: 10.1093/imanum/24.2.179     Document Type: Article

References (7)

1. ADAMS, R. A. (1978) Sobolov Spaces. San Diego, CA: Academic.
2. BRAESS, D. (1997) Finite Elements. Theory, Fast Solvers, and Applications in Solid Mechanics. Cambridge: Cambridge University Press.
3. CHENEY, E. W. & LIGHT, W. A. (2000) A Course in Approximation Theory. Pacific Grove, CA: Brooks Cole.
4. DUCHON, J. (1976) Splines minmizing rotation-invariant seminorms in Sobolov spaces. Constructive Theory of Functions of Several Variables (Proc. Conf., Math. Res. Inst.), Lecture Notes in Mathematics, Vol. 571. (W. Schempp & K. Zeller, eds). Berlin: Springer, pp. 85-100.
5. m-splines. RAIRO Anal. Numèr., 12, 325-334.
6. JOHNSON, M. J. (2002) A note on the limited stability of surface spline interpolation. Preprint.
7. p-error estimates for 'shifted' surface spline interpolation on Sobolev space. Math. Comput., 72, 1349-1367.