SHAPE-PRESERVING C-3 DATA INTERPOLATION AND C-2 HISTOPOLATION WITH SPLINES ON THREEFOLD REFINED GRIDS

Authors
HESS W SCHMIDT JW
Citation
W. Hess et Jw. Schmidt, SHAPE-PRESERVING C-3 DATA INTERPOLATION AND C-2 HISTOPOLATION WITH SPLINES ON THREEFOLD REFINED GRIDS, Zeitschrift fur angewandte Mathematik und Mechanik, 76(9), 1996, pp. 487-496
Citations number
21
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mechanics,Mathematics
Journal title
Zeitschrift fur angewandte Mathematik und Mechanik → ACNP
ISSN journal
00442267
Volume
76
Issue
9
Year of publication
1996
Pages
487 - 496
Database
ISI
SICI code
0044-2267(1996)76:9<487:SCDIAC>2.0.ZU;2-9
Abstract
This paper is concerned with the convex C-3 interpolation of univariat e data sets. An algorithm based on Me use of quartic splines on threef old refined grids is presented which is always successful for data set s in strictly convex position. These splines are suitable also for mon otone as well as positive C-3 interpolation. Further, the derived algo rithms apply to the monotone and positive C-2 histopolation with cubic splines on grids refined as before.