| Numerical methods for ordinary differential equations JC Butcher John Wiley & Sons, 2016 | 5731 | 2016 |
| The numerical analysis of ordinary differential equations: Runge-Kutta and general linear methods JC Butcher Wiley-Interscience, 1987 | 2825 | 1987 |
| Implicit runge-kutta processes JC Butcher Mathematics of computation 18 (85), 50-64, 1964 | 1054 | 1964 |
| Coefficients for the study of Runge-Kutta integration processes JC Butcher Journal of the Australian Mathematical Society 3 (2), 185-201, 1963 | 663 | 1963 |
| A history of Runge-Kutta methods JC Butcher Applied numerical mathematics 20 (3), 247-260, 1996 | 474 | 1996 |
| On Runge-Kutta processes of high order JC Butcher Journal of the Australian Mathematical Society 4 (2), 179-194, 1964 | 456 | 1964 |
| Stability criteria for implicit Runge–Kutta methods K Burrage, JC Butcher SIAM Journal on Numerical Analysis 16 (1), 46-57, 1979 | 416 | 1979 |
| An algebraic theory of integration methods JC Butcher Mathematics of Computation 26 (117), 79-106, 1972 | 369 | 1972 |
| Non-linear stability of a general class of differential equation methods K Burrage, JC Butcher BIT Numerical Mathematics 20 (2), 185-203, 1980 | 346 | 1980 |
| On the implementation of implicit Runge-Kutta methods JC Butcher BIT Numerical Mathematics 16 (3), 237-240, 1976 | 330 | 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 | 319 | 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 | 285 | 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 | 163 | 2006 |
| An implementation of singly-implicit Runge-Kutta methods K Burrage, JC Butcher, FH Chipman BIT Numerical Mathematics 20 (3), 326-340, 1980 | 161 | 1980 |
| Integration processes based on Radau quadrature formulas JC Butcher Mathematics of computation 18 (86), 233-244, 1964 | 158 | 1964 |
| On the attainable order of Runge-Kutta methods JC Butcher Mathematics of computation 19 (91), 408-417, 1965 | 150 | 1965 |
| Runge-Kutta methods: some historical notes JC Butcher, G Wanner Applied Numerical Mathematics 22 (1-3), 113-151, 1996 | 140 | 1996 |
