ABOUT ONE LOCALLY COMONOTONE CUBIC C1-CLASS SPLINE
S. V. Mzhachikh, Yu. N. Lapshina
VANT. Ser.: Mat. Mod. Fiz. Proc 2021. Вып.2. С. 56-69.
In some studies it is required, from the standpoint of physics, that the data interpolating curve is monotone in each data monotonicity interval. The use of the classical cubic C2-class spline is not always possible for such problems. However, this problem is solvable and there are different ways to solve it. The paper presents a cubic C1-class spline for solving the monotone interpolation problem. This spline coincides with the classical cubic C2-class spline in the monotone behavior sections of the functional sequence under the condition that the classical spline is monotone in these sections. The only difference is observed near local extrema. Numerical results of the accuracy examination are presented, with the new interpolant being compared to other splines of some popular algorithms. Keywords: cubic spline, monotone interpolation, local comonotonicity, the Fritsch-Carlson method.
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English
