The orders of embedded continuous explicit Runge-Kutta methods
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics,Computer Networks and Communications,Software
Link
http://link.springer.com/content/pdf/10.1007/BF01732613.pdf
Reference9 articles.
1. J. C. Butcher,Coefficients for the study of Runge-Kutta integration processes, J. Aust. Math. Soc., 3 (1963), pp. 185–201.
2. J. M. Carnicer,A lower bound for the number of stages of an explicit continuous Runge-Kutta method to obtain convergence of a particular order, BIT, 31 (1991), pp. 364–368.
3. J. R. Dormand and P. J. Prince,A family of embedded Runge-Kutta formulae, J. Comput. Appl. Math., 6 (1980), pp. 19–26.
4. W. H. Enright, K. R. Jackson, S. P. Nørsett, and P. G. Thomsen,Interpolants for Runge-Kutta formulas. ACM Trans. Math. Software, 12 (1986), pp. 193–218.
5. B. Owren and M. Zennaro,Order barriers for continuous explicit Runge-Kutta methods, Math. Comp., 56 (1991), pp. 645–661.
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