zbMATH — the first resource for mathematics

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

65D25 Numerical differentiation
65B05 Extrapolation to the limit, deferred corrections
Full Text: EuDML
[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.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.