Journal of Computational Mathematics (1994), 12, 163-172
Zhang, Z.J., Yang, Z.Q., and Zhang, C.M.
Abstract
A piecewise cubic curve fitting algorithm preserving monotonicity of the data without modification of the assigned slope is proposed. The algorithm has the same order of convergence as Yan's algorithm and Gasparo-Morandi's algorithm for accurate or O(hq) accurate given data, but it has a more visually pleasing curve than those two algorithms. We also discuss the convergence order of cubic rational interpolation for O(hq) accurate data.