On the implementation of a method for the estimation of global errors

  • Pedro E. Zadunaisky
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 76)


Truncation Error Global Error Celestial Mechanics Local Truncation Error Global Error Estimation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. R. Bulirsch and J. Stoer, "Numerical Treatment of Ordinary Differential Equations by Extrapolation Methods," Num. Math., 8, 1–13, 1966.Google Scholar
  2. R. Frank, J. Hertling, Ch. W. Ueberhuber, "An Extension of the Applicability of Iterated Deferred Corrections", Math. of Comp., 31, 907–915, 1977.Google Scholar
  3. R. Frank, "Schatzungen des Globalen Diskretisierungfehlers by Runge-Kutta Methoden", ISNM 27, Birkhauser, 1975.Google Scholar
  4. D.J. Fyfe, "The use of Cubic Splines in the Solution of Two Point Boundary Value Problems", Comp. Journal, 12, 188–192, 1969.Google Scholar
  5. V. Pereyra, "Variable Order, Variable Step Finite Difference Methods for Non Linear Boundary Value Problems", Lecture Notes in Math., Springer, 363, 118–133, 1974.Google Scholar
  6. H.J. Stetter, "Economical Global Error Estimation", Proc. Symp. Stiff Differential Systems, Wildbad, 1973, Plenum Publ., 1974.Google Scholar
  7. P.E. Zadunaisky, "Sobre la Estimación de Errores Propagados en la Integración Numérica de Ecuaciones Diferenciales", Acta Scientífica, Obs. San Miguel, 38, 1975.Google Scholar
  8. P.E. Zadunaisky, "On the Estimation of Errors Propagated in the Numerical Integration of Ordinary Differential Equations", Numer. Math., 27, 21–39, 1976.Google Scholar
  9. P.E. Zadunaisky, "On the Accuracy in the Numerical Solution of the N-Body Problem", Submitted for publication in "Celestial Mechanics", D. Reidel Publ. Co, 1978.Google Scholar
  10. K Zare and V. Szebehely, "Time Transformations in the Extended Phase Space", Celestial Mechanics, 11, 469–482, 1975.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1979

Authors and Affiliations

  • Pedro E. Zadunaisky

There are no affiliations available

Personalised recommendations