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See "Numerical Recipes in Fortran, Second Edition," 1992 (ISBN 0-521-43064-X) page704-715. But if you need something better than 4th order Runge-Kutta, you probably want to consider Bulirsch-Stoer or predictor-corrector methods (see the discussion at the beginning of the chapter in Numerical Recipes, especially p 703). "Runge-Kutta is what you use when (1) you don't know any better, or (ii) you have an intransigent problem where Bulirsch-Stoer is failing, or (iii) you have a trivial problem where computational efficiency is of no concern." = Loren P Meissner -----Original Message----- From: [log in to unmask] [mailto:[log in to unmask]] On Behalf Of Vrabel Imrich Sent: Tuesday, September 26, 2000 4:48 PM To: [log in to unmask] Subject: Runge-Kutta Hi, does anybody know, please, where may I find a fifth or higher order Runge-Kutta algorithm(s). Thanks, Imrich Vrabel Dept. of Physical Chemistry Slovak Technical University Radlinskeho 9 Bratislava 820 37 Slovak Republic %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%