AN ALWAYS SUCCESSFUL METHOD IN UNIVARIATE CONVEX C-2 INTERPOLATION

Authors
SCHMIDT JW HESS W
Citation
Jw. Schmidt et W. Hess, AN ALWAYS SUCCESSFUL METHOD IN UNIVARIATE CONVEX C-2 INTERPOLATION, Numerische Mathematik, 71(2), 1995, pp. 237-252
Citations number
30
Categorie Soggetti
Mathematics,Mathematics
Journal title
Numerische Mathematik → ACNP
ISSN journal
0029599X
Volume
71
Issue
2
Year of publication
1995
Pages
237 - 252
Database
ISI
SICI code
0029-599X(1995)71:2<237:AASMIU>2.0.ZU;2-N
Abstract
We consider convex interpolation with cubic C-2 splines on grids built by adding two knots in each subinterval of neighbouring data sites. T he additional knots have to be variable in order to get a chance to al ways retain convexity. By means of the staircase algorithm we provide computable intervals for the added knots such that all knots from thes e intervals allow convexity preserving spline interpolation of C-2 con tinuity.