On explicit two-derivative Runge-Kutta methods

Solving ordinary differential equations I. nonstiff problems

Ernst Hairer, Gerhard Wanner · Mathematics and Computers in Simulation · 1987 · 4.1K citations · Full text

Natural Sciences, Mathematics, Computational Mechanics +9

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

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 variable order Runge-Kutta method for initial value problems with rapidly varying right-hand sides

J. R. Cash, Alan H. Karp · ACM Transactions on Mathematical Software · 1990 · 772 citations · Full text

Computing, Computational Engineering, Mathematics +17

An algebraic theory of integration methods

J. C. Butcher · Mathematics of Computation · 1972 · 291 citations

Natural Sciences, Mathematics, Algorithms +14