Numerical methods for ordinary differential equations JC Butcher John Wiley & Sons, 2016 | 5826 | 2016 |

The numerical analysis of ordinary differential equations: Runge-Kutta and general linear methods JC Butcher Wiley-Interscience, 1987 | 2843 | 1987 |

Implicit runge-kutta processes JC Butcher Mathematics of computation 18 (85), 50-64, 1964 | 1068 | 1964 |

Coefficients for the study of Runge-Kutta integration processes JC Butcher Journal of the Australian Mathematical Society 3 (2), 185-201, 1963 | 672 | 1963 |

A history of Runge-Kutta methods JC Butcher Applied numerical mathematics 20 (3), 247-260, 1996 | 500 | 1996 |

On Runge-Kutta processes of high order JC Butcher Journal of the Australian Mathematical Society 4 (2), 179-194, 1964 | 458 | 1964 |

Stability criteria for implicit Runge–Kutta methods K Burrage, JC Butcher SIAM Journal on Numerical Analysis 16 (1), 46-57, 1979 | 423 | 1979 |

An algebraic theory of integration methods JC Butcher Mathematics of Computation 26 (117), 79-106, 1972 | 374 | 1972 |

Non-linear stability of a general class of differential equation methods K Burrage, JC Butcher BIT Numerical Mathematics 20 (2), 185-203, 1980 | 344 | 1980 |

On the implementation of implicit Runge-Kutta methods JC Butcher BIT Numerical Mathematics 16 (3), 237-240, 1976 | 336 | 1976 |

A modified multistep method for the numerical integration of ordinary differential equations JC Butcher Journal of the ACM (JACM) 12 (1), 124-135, 1965 | 325 | 1965 |

Numerical methods for ordinary differential equations in the 20th century JC Butcher Journal of Computational and Applied Mathematics 125 (1-2), 1-29, 2000 | 297 | 2000 |

A stability property of implicit Runge-Kutta methods JC Butcher | 263 | 1975 |

On the convergence of numerical solutions to ordinary differential equations JC Butcher Mathematics of Computation 20 (93), 1-10, 1966 | 261 | 1966 |

Diagonally-implicit multi-stage integration methods JC Butcher Applied Numerical Mathematics 11 (5), 347-363, 1993 | 176 | 1993 |

General linear methods JC Butcher Acta Numerica 15, 157-256, 2006 | 168 | 2006 |

An implementation of singly-implicit Runge-Kutta methods K Burrage, JC Butcher, FH Chipman BIT Numerical Mathematics 20 (3), 326-340, 1980 | 162 | 1980 |

Integration processes based on Radau quadrature formulas JC Butcher Mathematics of computation 18 (86), 233-244, 1964 | 161 | 1964 |

On the attainable order of Runge-Kutta methods JC Butcher Mathematics of computation 19 (91), 408-417, 1965 | 153 | 1965 |

Runge-Kutta methods: some historical notes JC Butcher, G Wanner Applied Numerical Mathematics 22 (1-3), 113-151, 1996 | 143 | 1996 |