|
Quasi-interpolatory splines based on Schoenberg points
Author(s):
V.
Demichelis.
Journal:
Math. Comp.
65
(1996),
1235-1247.
MSC (1991):
Primary 65D30, 65D05
Retrieve article in:
PDF
This article is available free of charge
Abstract |
References |
Similar articles |
Additional information
Abstract:
By using the Schoenberg points as quasi-interpolatory points, we achieve both generality and economy in contrast to previous sets, which achieve either generality or economy, but not both. The price we pay is a more complicated theory and weaker error bounds, although the order of convergence is unchanged. Applications to numerical integration are given and numerical examples show that the accuracy achieved, using the Schoenberg points, is comparable to that using other sets.
References:
- 1.
- C. Dagnino, V. Demichelis, E. Santi, Numerical integration based on quasi-interpolating splines, Computing 50 (1993), 149-163. MR 94i:65028
- 2.
- ------, An algorithm for numerical integration based on quasi-interpolating splines, Numerical Algorithms 5 (1993), 443-452. MR 94k:65029
- 3.
- ------, Local spline approximation methods for singular product integration, to appear in Approximation Theory and its Applications.
- 4.
- C. Dagnino and P. Rabinowitz, Product integration of singular integrands using quasi-interpolatory splines, to appear in Intern. J. Comput. Math. special issue dedicated to 100th birthday of Cornelius Lanczos.
- 5.
- V. Demichelis, Uniform convergence for Cauchy principal value integrals of modified quasi-interpolatory splines, Intern. J. Comput. Math. 53 (1994), 189-196.
- 6.
- T. Lyche and L. L. Schumaker, Local spline approximation methods, J. Approx. Theory 15 (1975), 294-325. MR 53:1108
- 7.
- L. L. Schumaker, Spline functions, New York: John Wiley & Sons, 1981.
Similar Articles:
Retrieve articles in Mathematics of Computation
with MSC
(1991):
65D30, 65D05
Retrieve articles in all Journals with MSC
(1991):
65D30, 65D05
Additional Information:
V.
Demichelis
Affiliation:
Department of Mathematics, University of Torino, Via Carlo Alberto 10, I-10123, Torino, Italy
Email:
demichelis@dm.unito.it
DOI:
10.1090/S0025-5718-96-00728-4
PII:
S 0025-5718(96)00728-4
Received by editor(s):
June 10, 1994
Additional Notes:
Work supported by ``Ministero dell'Università e della Ricerca Scientifica e Tecnologica" and ``Consiglio Nazionale delle Ricerche" of Italy.
Copyright of article:
Copyright
1996,
American Mathematical Society
|
Comments: webmaster@ams.org