Year: 1994
Author: Zheng-Jun Zhang, Zi-Qiang Yang, Chun-Ming Zhang
Journal of Computational Mathematics, Vol. 12 (1994), Iss. 2 : pp. 163–172
Abstract
A piecewise cubic curve fitting algorithm preserving monotonicity of the data without modification of the assigned slopes is proposed. The algorithm has the same order of convergence as Yan's algorithm and Gasparo-Morandi's algorithm for accurate or $O(h^q)$ accurate give date, but it has a more visually pleasing curve that those two algorithms. We also discuss the convergence order of cubic rational interpolation for $O(h^q)$ accurate date.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1994-JCM-9287
Journal of Computational Mathematics, Vol. 12 (1994), Iss. 2 : pp. 163–172
Published online: 1994-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10