On multivariate lagrange interpolation

Mathematics of Computation

Volumn 64, Issue 211, 1995, Pages 1147-1170

  Sauer, Thomas ^a   Xu, Yuan ^b  

^a UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

^b UNIVERSITY OF OREGON   (United States)

Author keywords

Algorithm; Finite difference; Lagrange interpolation; Remainder formula; Simplex spline

Indexed keywords

EID: 84968481084     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-1995-1297477-5     Document Type: Article

References (5)

1. C. de Boor and A. Ron, Computational aspects of polynomial interpolation in several variables, Math. Comp. 58 (1992), 705-727.
2. M. Gasca, Multivariate polynomial interpolation Computation of Curves and Surfaces (W. Dahmen, M. Gasca, and C. A. Micchelli, eds.), Kluwer, Dordrecht, 1990, pp. 215-236.
3. E. Isaacson and H. B. Keller, Analysis of numerical methods, Wiley, New York, 1966.
4. R. A. Lorentz, Multivariate Birkhoff interpolation, Lecture Notes in Math., vol. 1516, Springer-Verlag, Berlin and New York, 1992.
5. C. A. Micchelli, On a numerically efficient method of computing multivariate B-splines, Multivariate Approximation Theory (W. Schempp and K. Zeller, eds.), Birkhauser, Basel, 1979, pp. 211-248.