On the control of the global error in stiff initial value problems

Author:

Dahlquist Germund

Publisher

Springer Berlin Heidelberg

Reference5 articles.

1. 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.

2. 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.

3. Lindberg, B.: Characterizations of Optimal Stepsize Sequences for Methods for Stiff Differential Equations. SIAM J. Numer. Anal., vol. 14, 859–887, (1977).

4. Skelboe, S. and Christensen, B.: Backward Differentiation Formulas with Extended Regions of Absolute Stability. BIT, vol. 21, 221–231, (1981).

5. Henrici, P.: Discrete Variable Methods in Ordinary Differential Equations. J. Wiley & Sons 1962.

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