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Numerical Methods for Partial Differential Equations, 2020
The quality of electric induction motors for its high number of applications can be compared with traditional motor for the check of accuracy of physical and psychological discomforts.
K. A. Abro, A. Atangana
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The quality of electric induction motors for its high number of applications can be compared with traditional motor for the check of accuracy of physical and psychological discomforts.
K. A. Abro, A. Atangana
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Optimization of the Methods of Numerical Differentiation for Bivariate Functions
Ukrainian Mathematical Journal, 2022S. G. Solodky, S. A. Stasyuk
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On a Numerical Differentiation
SIAM Journal on Numerical Analysis, 1986Betrachtet werden numerische Differentiationsformeln des Typs \[ f^{(m)}(x)\approx (1/h^ m)\sum^{n}_{i=1}a_ if(x+hb_ i),\quad b_ i\neq b_ j\text{ für }i\neq j \] vom Grad \(n-m\). Der Grad kann zwar auch \(n-m+1\) sein, aber niemals \(\geq n-m+2\). Dafür, daß der Grad der Formel \(n-m+1\) ist, wird eine notwendige und hinreichende Bedingung angegeben ...
Herceg, Dragoslav, Cvetković, Ljiljana
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Numerical Differentiation Formulas
The American Mathematical Monthly, 1957(1957). Numerical Differentiation Formulas. The American Mathematical Monthly: Vol. 64, No. 10, pp. 721-723.
A. Spitzbart, N. Macon
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Numerical Differentiation and Regularization
SIAM Journal on Numerical Analysis, 1971Tikhonov’s regularization procedure is applied to the operation of differentiation, resulting in a procedure for numerical differentiation for which the effects of errors in the values of the function being differentiated on the values for the derivative obtained in the procedure can be studied. The theoretical discussion is complemented by the results
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Fundamentals of Numerical Mathematics for Physicists and Engineers, 2020
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Formulae for Numerical Differentiation
The Mathematical Gazette, 1941In a recent paper (1) formulae were given for the numerical integration of a function in terms of its values at a set of arguments at equal intervals. In this companion paper, formulae for numerical differentiation, using the same data, are collected. Their utility in enabling derivatives of a function given numerically at such a set of arguments to be
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