Parallel iteration of high-order Runge-Kutta methods with stepsize control

Solving ordinary differential equations I. nonstiff problems

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

Numerical Analysis, Oscillation Theory, Nonlinear Equation +1

Comparing Numerical Methods for Ordinary Differential Equations

T. E. Hull, W. H. Enright, B. M. Fellen et al. · SIAM Journal on Numerical Analysis · 1972 · 711 citations

Numerical Analysis, Method Of Fundamental Solution, Numerical Computation +14

Implicit Runge-Kutta processes

J. C. Butcher · Mathematics of Computation · 1964 · 664 citations · Full text

High order embedded Runge-Kutta formulae

P.J. Prince, John R. Dormand · Journal of Computational and Applied Mathematics · 1981 · 515 citations

Numerical Analysis, Numerical Computation, Engineering +6

Classical Fifth-, Sixth-, Seventh-, and Eighth-Order Runge-Kutta Formulas with Stepsize Control

E. Fehlberg · NASA Technical Reports Server (NASA) · 1968 · 317 citations · Full text

Numerical Analysis, Reduced Order Modeling, Numerical Computation +15