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Fehlerabschätzungen und Extrapolation mit rationalen Funktionen bei Verfahren vom Richardson-Typus

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Literatur

  1. Bauer, F. L., H. Rutishauser, andE. Stiefel: New Aspects in Numerical Quadrature. Proc. of Symposia in Applied Mathematics15, Am. Math. Soc. (1963).

  2. Bolton, H. C., andH. I. Scoins: Eigenvalues of Differential Equations by Finite-Difference Methods. Proc. of the Cambridge Phil. Soc.52, 215–229 (1956).

    Google Scholar 

  3. Bulirsch, R.: Bemerkungen zur Romberg-Integration. Num. Math.6, 6–16 (1964).

    Google Scholar 

  4. Gragg, W.: Repeated Extrapolation to the Limit in the Numerical Solution of Ordinary Differential Equations. Thesis UCLA (1963).

  5. Hartree, D. R.: Numerical Analysis, Oxford: At the Clarendon Press 1958.

    Google Scholar 

  6. Kuntzmann, J.: Méthodes numériques, interpolation-dérivées. Paris: Dunod 1959.

    Google Scholar 

  7. Laurent, P.-J.: Un théorème de convergence pour le procédé d'extrapolation deRichardson. Comptes Rendus de l'Académie des Sciences (Paris)256, 1435–1437 (1963).

    Google Scholar 

  8. Richardson, C., andJ. Gaunt: The Deferred Approach to the Limit. Trans. Roy. Soc. Lond.226, 300–361 (1927).

    Google Scholar 

  9. Romberg, W.: Vereinfachte numerische Integration. Det. Kong. Norske Videnskabers Selskab Forhandlinger28, Nr. 7, Trondheim 1955.

  10. Rutishauser, H.: Ausdehnung des Rombergschen Prinzips. Num. Math.5, 48–54 (1963).

    Google Scholar 

  11. Stetter, H.-J.: Asymptotic Expansions for the Error of Discretisation Algorithms for Non-linear Functional Equations. Erscheint in Num. Math.

  12. Stoer, J.: Über zwei Algorithmen zur Interpolation mit rationalen Funktionen. Num. Math.3, 285–304 (1961).

    Google Scholar 

  13. Corey: The American math. Monthly13 (1906).

  14. Salvadori, M. G., andM. L. Baron: Numerical Methods in Engineering. Englewood Cliffs, N.J.: Prentice-Hall 1952.

    Google Scholar 

  15. Lyness, J. N., andB. J. J. McHugh: Integration over multidimensional Hypercubes, I. A progressive Procedure. The Computer J.6, 264–270 (1963).

    Google Scholar 

  16. Laurent, P.-J.: Formules de quadrature approchée sur domaines rectangulaires convergentes pour toute fonction intégrable Riemann. Comptes Rendus de l'Académie des Sciences (Paris)258, 798–801 (1964).

    Google Scholar 

  17. Navot, I.: The Euler-Maclaurin Functional for Functions with a Quasi-Step Discontinuity. Math. Comp.17, 337–345 (1963).

    Google Scholar 

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Authors and Affiliations

  1. Mathematisches Institut der Technischen Hochschule, Arcisstr. 21, 8, München 2

    Roland Bulirsch & Josef Stoer

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  1. Roland Bulirsch
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  2. Josef Stoer
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Bulirsch, R., Stoer, J. Fehlerabschätzungen und Extrapolation mit rationalen Funktionen bei Verfahren vom Richardson-Typus. Numer. Math. 6, 413–427 (1964). https://doi.org/10.1007/BF01386092

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  • DOI: https://doi.org/10.1007/BF01386092

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