Abstract
Zadunaisky has given a method for estimating the global discretization error by R-K-methods in earlier papers. We will present a mathematical analysis of his treatment.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Literatur
Hildebrand, F.B. Introduction to Numerical Analysis, New York, Mc Grew-Hill 1956.
Stetter, H.J. Analysis of Zadunaisky’s method for estimating the global discretizaZion error, Unveröffentliches Manuskript.
Stetter, H.J. Analysis of Discretization Methods for Ordinary Differential Equations, Berlin-Heidelberg-New York, Springer1973.
Sauer, R. Szabb, I. Mathematische Hilfs- mittel des Ingenieurs, Teil II, BerlinHeidelberg-New York, Springer 1969.
Zadunaisky, P.E. On the estimation of errors propagated in the numerical solution of ordinary differential equations, Proceedings of the IAU Symposium No. 25, Thessaloniki, Greece, 1966.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1975 Springer Basel AG
About this chapter
Cite this chapter
Frank, R. (1975). Schätzungen des Globalen Diskretisierungsfehlers bei Runge-Kutta-Methoden. In: Numerische Behandlung von Differentialgleichungen. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D’Analyse Numérique, vol 27. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5532-7_3
Download citation
DOI: https://doi.org/10.1007/978-3-0348-5532-7_3
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-5533-4
Online ISBN: 978-3-0348-5532-7
eBook Packages: Springer Book Archive