References#
Przemyslaw Bogacki and Lawrence F Shampine. A 3(2) pair of runge-kutta formulas. Applied Mathematics Letters, 2(4):321–325, 1989.
J.C. Butcher. Implicit runge-kutta processes. Mathematics of Computation, 18(85):50 – 64, 1964.
J.C. Butcher. Numerical Methods for Ordinary Differential Equations. John Wiley & Sons, Ltd, second edition, 2008.
E. Fehlberg. Klassische runge-kutta-formeln fünfter und siebenter ordnung mit schrittweiten-kontrolle (classical runge-kutta formulas of fifth and seventh order with step size control). Computing, 1969.
E Hairer and G Wanner. Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems. Springer, second edition, 1993.
Z. Jackiewicz and S Tracogna. A general class of two-step runge-kutta methods for ordinary differential equations. Applied Numerical Mathematics, 32(5):1390 – 1427, 1995.
R.H. Merson. An operational method for the study of intergration processes. In Proceedings of Conference on Data Processing and Automatic Computing Machives, volume 1, 1 – 25. Weapons Research Establishment, Salisbury, South Australia, 1957.
HH Robertson. The solution of a set of reaction rate equations. Numerical analysis: an introduction, 1966.
Wikipedia. Mass-sprint-damper model diagram. 2008. URL: http://en.wikipedia.org/wiki/Image:Mass_spring_damper.png.