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Extrapolation method for numerical calculation of the derivative of the analytical function and its error estimate. (English) Zbl 0225.65021

MSC:
65D25 Numerical differentiation
65B05 Extrapolation to the limit, deferred corrections
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References:
[1] Rutishauser H.: Ausdehnung des Rombergenschen Prinzips. Numerische Mathematik, 5, 1963,48-54. · Zbl 0111.13001
[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. · Zbl 0164.17703
[3] Bulirsch R.: Bemerkungen zur Romberg-lntegration. Numerische Mathematik, 6, 1964, 7. · Zbl 0118.12303
[4] Stetter H. J.: Asymptotic Expansions for the Error of Discretization Algorithms for Nonlinear Functional Equations. Numerische Mathematik, 7, 1965, 18-31. · Zbl 0148.39003
[5] Davis P. J.: Errors of Numerical Approximation for Analysis by J. Todd. McGraw-Hill Book Company, New York, 1962.
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