A family of embedded Runge-Kutta formulae

Computational Methods in Ordinary Differential Equations

1973 • 1,372 citations

Computational methods in ordinary differential equations

1973 • 1,321 citations

Comparing Numerical Methods for Ordinary Differential Equations

1972 • 729 citations

Low-order classical Runge-Kutta formulas with stepsize control and their application to some heat transfer problems

1969 • 484 citations

Coefficients for the study of Runge-Kutta integration processes

1963 • 417 citations

On Runge-Kutta processes of high order

1964 • 319 citations

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

1968 • 304 citations

New Runge-Kutta algorithms for numerical simulation in dynamical astronomy

1978 • 110 citations

Error estimates for Runge-Kutta type solutions to systems of ordinary differential equations

1969 • 109 citations

Test Results on Initial Value Methods for Non-Stiff Ordinary Differential Equations

1976 • 86 citations

Global Error Estimates for Ordinary Differential Equations

1976 • 83 citations

An Order Five Runge-Kutta Process with Extended Region of Stability

1966 • 58 citations

Classical eight- and lower-order Runge-Kutta-Nystroem formulas with stepsize control for special second-order differential equations

1972 • 40 citations

A Theoretical Criterion for Comparing Runge–Kutta Formulas

1978 • 37 citations

A-stable one-step methods with step-size control for stiff systems of ordinary differential equations

1978 • 29 citations

Quadrature and Runge-Kutta formulas

1976 • 20 citations