Efficiency comparisons of methods for integrating ODEs

A family of embedded Runge-Kutta formulae

John R. Dormand, P.J. Prince · Journal of Computational and Applied Mathematics · 1980 · 3.6K citations

Computing, Computer Science, Mathematics +8

Discrete Variable Methods in Ordinary Differential Equations.

A. B. Farnell, Peter Henrici · American Mathematical Monthly · 1962 · 2.1K citations

Natural Sciences, Mathematics, Differential Equations +12

The Numerical Analysis of Ordinary Differential Equations; Runge-Kutta and General Linear Methods.

Kenneth R. Jackson, J. C. Butcher · Mathematics of Computation · 1988 · 1.1K citations

Natural Sciences, Mathematics, Computational Mechanics +11

A 3(2) pair of Runge - Kutta formulas

P. Bogacki, L. F. Shampine · Applied Mathematics Letters · 1989 · 552 citations

Natural Sciences, Mathematics, Computational Mechanics +5

High order embedded Runge-Kutta formulae

P.J. Prince, John R. Dormand · Journal of Computational and Applied Mathematics · 1981 · 528 citations

Computing, Computer Science, Mathematics +8