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Summary:
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.
References:
[1] Rutishauser H.: Ausdehnung des Rombergenschen Prinzips. Numerische Mathematik, 5, 1963,48-54. MR 0170476
[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 0260171 | Zbl 0164.17703
[3] Bulirsch R.: Bemerkungen zur Romberg-lntegration. Numerische Mathematik, 6, 1964, 7. DOI 10.1007/BF01386048 | MR 0165688
[4] Stetter H. J.: Asymptotic Expansions for the Error of Discretization Algorithms for Nonlinear Functional Equations. Numerische Mathematik, 7, 1965, 18-31. DOI 10.1007/BF01397970 | MR 0175320
[5] Davis P. J.: Errors of Numerical Approximation for Analysis by J. Todd. McGraw-Hill Book Company, New York, 1962.
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