Some old and new Runge-Kutta formulas with stepsize control and their error coefficients

Coefficients for the study of Runge-Kutta integration processes

J. C. Butcher · Journal of the Australian Mathematical Society · 1963 · 419 citations · Full text

Numerical Analysis, Numerical Computation, Engineering +7

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

Explicit Runge–Kutta Methods with Estimates of the Local Truncation Error

J. H. Verner · SIAM Journal on Numerical Analysis · 1978 · 231 citations

Numerical Analysis, Numerical Computation, Engineering +12

Quadrature and Runge-Kutta formulas

L.F. Shampire · Applied Mathematics and Computation · 1976 · 19 citations

Numerical Analysis, Numerical Computation, Engineering +4