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Numerical differentiation

2022
James Sneyd   +2 more
  +5 more sources

On a Numerical Differentiation

SIAM Journal on Numerical Analysis, 1986
Betrachtet 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
openaire   +2 more sources

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
openaire   +1 more source

Numerical Differentiation and Regularization

SIAM Journal on Numerical Analysis, 1971
Tikhonov’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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Formulae for Numerical Differentiation

The Mathematical Gazette, 1941
In 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
openaire   +1 more source

Numerical Differentiation

2023
Abdelwahab Kharab, Ronald B. Guenther
openaire   +2 more sources

Integrative oncology: Addressing the global challenges of cancer prevention and treatment

Ca-A Cancer Journal for Clinicians, 2022
Jun J Mao,, Msce   +2 more
exaly  

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