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Extrapolation method for numerical calculation of the derivative of the analytical function and its error estimate
Applications of Mathematics, Tome 16 (1971) no. 2, pp. 125-135

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In the paper a numerical method of calculation of the derivative is described. Error coefficients are tabulated and their application is shown on some examples.
In the paper a numerical method of calculation of the derivative is described. Error coefficients are tabulated and their application is shown on some examples.
DOI : 10.21136/AM.1971.103336
Classification : 65B05, 65D25 
Gogová, Dagmar. Extrapolation method for numerical calculation of the derivative of the analytical function and its error estimate. Applications of Mathematics, Tome 16 (1971) no. 2, pp. 125-135. doi: 10.21136/AM.1971.103336
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[1] Rutishauser H.: Ausdehnung des Rombergenschen Prinzips. Numerische Mathematik, 5, 1963,48-54. | MR

[2] Engels H.: Fehlereinschliessung bei der numerischen Differentiation mit Hilfe des Richardsonschen Prinzips. Zeitschrift für angewandte Mathematik und Mechanik, Bd. 48, Heft 8, 1968, 59-61. | MR | Zbl

[3] Bulirsch R.: Bemerkungen zur Romberg-lntegration. Numerische Mathematik, 6, 1964, 7. | DOI | MR

[4] Stetter H. J.: Asymptotic Expansions for the Error of Discretization Algorithms for Nonlinear Functional Equations. Numerische Mathematik, 7, 1965, 18-31. | DOI | MR

[5] Davis P. J.: Errors of Numerical Approximation for Analysis by J. Todd. McGraw-Hill Book Company, New York, 1962.

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