Adaptive formulas of numerical differentiation of functions with large gradients-Reference-Cited by-同舟云学术

Adaptive formulas of numerical differentiation of functions with large gradients

Published:2019-08-01 Issue:4 Volume:1260 Page:042003
ISSN:1742-6588
Container-title:Journal of Physics: Conference Series
language:
Short-container-title:J. Phys.: Conf. Ser.

Author:

Il’in V P,Zadorin A I

Abstract

Abstract There are constructed formulas for the numerical differentiation of functions of one variable with large gradients. Formulas are based on the fitting to the singular component responsible for the large gradients of the function. The singular component is considered as a function of the general form. The error estimates of the difference formulas for calculating first and second derivatives are obtained. The results of the calculations are given.

Publisher

IOP Publishing

Subject

General Physics and Astronomy

Link

https://iopscience.iop.org/article/10.1088/1742-6596/1260/4/042003/pdf

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