𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The approximation order of four-point interpolatory curve subdivision

✍ Scribed by Michael S. Floater


Book ID
113511648
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
216 KB
Volume
236
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Approximation order of interpolatory non
✍ Nira Dyn; Philipp Grohs; Johannes Wallner πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 493 KB

Linear interpolatory subdivision schemes of C r smoothness have approximation order at least r + 1. The present paper extends this result to nonlinear univariate schemes which are in proximity with linear schemes in a certain specific sense. The results apply to nonlinear subdivision schemes in Lie

Existence and approximation of solutions
✍ Rahmat Ali Khan; Rosana Rodriguez Lopez πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 207 KB

We study some four point boundary value problems. We use the method of upper and lower solutions to improve some previous existence results, and apply the generalized method of quasilinearization to obtain a monotone sequence of iterates converging uniformly and rapidly to a solution of the problem.