TY - JOUR
T1 - Monotone Piecewise Curve Fitting Algorithms
AU - Zhang , Zheng-Jun
AU - Yang , Zi-Qiang
AU - Zhang , Chun-Ming
JO - Journal of Computational Mathematics
VL - 2
SP - 163
EP - 172
PY - 1994
DA - 1994/12
SN - 12
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9287.html
KW - 
AB - <p style="text-align: justify;">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&#39;s algorithm and Gasparo-Morandi&#39;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.</p>