Adaptive Computation of Curve Lengths Given by Non-differentiable Functions

• Date: 2020
• Main Authors: Sheludko, Helii A., Ugrimov, Serhii V.
• Format: Article
• Language: English; Russian
• Published: Інститут енергетичних машин і систем ім. А. М. Підгорного Національної академії наук України 2020
• Subjects: non-differentiable function; piecewise linear approximation; adaptive peace-wise selection of nodes; efficiency index; UDC 519; 517.97
• Online Access: https://journals.uran.ua/jme/article/view/199003
• Journal Title: Journal of Mechanical Engineering

Measurement of the lengths of curves is quite common in solving various problems. If the function that defines the curve is differentiable, then computing the curve length is a relatively simple mathematical operation. In the absence of initial information about the function, it is necessary to appl...