| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4626112 | Applied Mathematics and Computation | 2016 | 13 Pages |
Abstract
In this paper we propose and analyze a nonlinear subdivision scheme based on the monotononicity-preserving third order Hermite-type interpolatory technique implemented in the PCHIP package in Matlab. We prove the convergence and the stability of the PCHIP nonlinear subdivision process by employing a novel technique based on the study of the generalized Jacobian of the first difference scheme.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
F. Aràndiga, R. Donat, M. Santágueda,