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Numerical Differentiation

A Concise Introduction to Numerical Analysis, 2018
Finite difference formulas Suppose you are given a data set of N non-equispaced points at x = x i with values f (x i) as shown in Figure 1. Because the data are not equispaced in general, then ∆x i = ∆x i+1. Figure 1: Data set of N points at x = x i with
A. C. Faul
semanticscholar   +8 more sources

Numerical Differentiation

open access: yesNumerical Methods, 2009
such as these arise frequently in scientific applications, generally as a result of the inherent errors present in measurement processes. If one were to attempt to use standard numerical techniques, such as the central difference formula, to compute ...
Carl Christian Kjelgaard Mikkelsen
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Real-time numerical differentiation of sampled data using adaptive input and state estimation

International Journal of Control, 2023
Real-time numerical differentiation plays a crucial role in many digital control algorithms, such as PID control, which requires numerical differentiation to implement derivative action.
Shashank Verma   +3 more
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Numerical Differentiation

Python Programming and Numerical Methods, 2021
Qingkai Kong   +2 more
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Application of Fourier Truncation Method to Numerical Differentiation for Bivariate Functions

Comput. Methods Appl. Math., 2022
The problem of numerical differentiation for periodic bivariate functions with finite smoothness is studied. To achieve stable approximations, we investigate some variants of the Fourier truncation method. Estimates of the accuracy and volume of the used
E. V. Semenova   +2 more
semanticscholar   +1 more source

Numerical differentiation for two-dimensional functions by a Fourier extension method

Inverse Problems in Science and Engineering, 2020
Based on the idea of Fourier extension, we develop a new method for numerical differentiation of two-dimensional functions on an arbitrary domain. The function will be extended to a periodic function on a larger domain. The Tikhonov regularization method
Zehong Meng   +3 more
semanticscholar   +1 more source

Determination of the “Wave Turbopause” Using a Numerical Differentiation Method

Journal of Geophysical Research: Atmospheres, 2019
This paper proposes a new algorithm to determine the wave turbopause based on numerical differentiation using temperature data collected from the Sounding of the Atmosphere using Broadband Emission Radiometry onboard the Thermosphere Ionosphere ...
Xiaofeng Zhao   +4 more
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