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John Butcher
John Butcher
Department of Mathematics, University of Auckland
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Title
Cited by
Cited by
Year
Numerical methods for ordinary differential equations
JC Butcher
John Wiley & Sons, 2016
57922016
The numerical analysis of ordinary differential equations: Runge-Kutta and general linear methods
JC Butcher
Wiley-Interscience, 1987
28371987
Implicit runge-kutta processes
JC Butcher
Mathematics of computation 18 (85), 50-64, 1964
10621964
Coefficients for the study of Runge-Kutta integration processes
JC Butcher
Journal of the Australian Mathematical Society 3 (2), 185-201, 1963
6681963
A history of Runge-Kutta methods
JC Butcher
Applied numerical mathematics 20 (3), 247-260, 1996
4871996
On Runge-Kutta processes of high order
JC Butcher
Journal of the Australian Mathematical Society 4 (2), 179-194, 1964
4561964
Stability criteria for implicit Runge–Kutta methods
K Burrage, JC Butcher
SIAM Journal on Numerical Analysis 16 (1), 46-57, 1979
4211979
An algebraic theory of integration methods
JC Butcher
Mathematics of Computation 26 (117), 79-106, 1972
3721972
Non-linear stability of a general class of differential equation methods
K Burrage, JC Butcher
BIT Numerical Mathematics 20 (2), 185-203, 1980
3431980
On the implementation of implicit Runge-Kutta methods
JC Butcher
BIT Numerical Mathematics 16 (3), 237-240, 1976
3351976
A modified multistep method for the numerical integration of ordinary differential equations
JC Butcher
Journal of the ACM (JACM) 12 (1), 124-135, 1965
3211965
Numerical methods for ordinary differential equations in the 20th century
JC Butcher
Journal of Computational and Applied Mathematics 125 (1-2), 1-29, 2000
2932000
A stability property of implicit Runge-Kutta methods
JC Butcher
2601975
On the convergence of numerical solutions to ordinary differential equations
JC Butcher
Mathematics of Computation 20 (93), 1-10, 1966
2601966
Diagonally-implicit multi-stage integration methods
JC Butcher
Applied Numerical Mathematics 11 (5), 347-363, 1993
1761993
General linear methods
JC Butcher
Acta Numerica 15, 157-256, 2006
1662006
An implementation of singly-implicit Runge-Kutta methods
K Burrage, JC Butcher, FH Chipman
BIT Numerical Mathematics 20 (3), 326-340, 1980
1621980
Integration processes based on Radau quadrature formulas
JC Butcher
Mathematics of computation 18 (86), 233-244, 1964
1601964
On the attainable order of Runge-Kutta methods
JC Butcher
Mathematics of computation 19 (91), 408-417, 1965
1531965
Runge-Kutta methods: some historical notes
JC Butcher, G Wanner
Applied Numerical Mathematics 22 (1-3), 113-151, 1996
1421996
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