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: Energy Technologies & Resource Saving

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...