Abstract
An approach of B. Lindberg [3] to the estimation and control of a norm of the global error is modified and applied to systems of stiff ODE's in partitioned form.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Dahlquist, G., Edsberg, L., Sköllermo, G. and Söderlind, G.: Are the Numerical Methods and Software Satisfactory for Chemical Kinetics? Report TRITA-NA-8005, Dept. of Numerical Analysis and Computing Science, Royal Inst. Technology, Stockholm, 1980. To appear in Springer Lecture Notes from a Symposium at Bielefeld, April 1980.
Dahlquist, G., Liniger, W. and Nevanlinna, O.: Stability of Two-Step Methods for Variable Integration Steps. IBM Research Report RC 8494, September 1980; submitted to SIAM J. Numer. Anal.
Lindberg, B.: Characterizations of Optimal Stepsize Sequences for Methods for Stiff Differential Equations. SIAM J. Numer. Anal., vol. 14, 859–887, (1977).
Skelboe, S. and Christensen, B.: Backward Differentiation Formulas with Extended Regions of Absolute Stability. BIT, vol. 21, 221–231, (1981).
Henrici, P.: Discrete Variable Methods in Ordinary Differential Equations. J. Wiley & Sons 1962.
Editor information
Rights and permissions
Copyright information
© 1982 Springer-Verlag
About this paper
Cite this paper
Dahlquist, G. (1982). On the control of the global error in stiff initial value problems. In: Watson, G.A. (eds) Numerical Analysis. Lecture Notes in Mathematics, vol 912. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0093147
Download citation
DOI: https://doi.org/10.1007/BFb0093147
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-11199-3
Online ISBN: 978-3-540-39009-1
eBook Packages: Springer Book Archive