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J. C. Butcher,
An Algebraic Theory of Integration Methods,
Math. of Comp. 26, n. 117 (1972), 79-106.
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J. C. Butcher,
The numerical analysis of ordinary differential
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E. Hairer and G. Wanner,
On the Butcher group and general multi-value methods,
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E. Hairer, Ch. Lubich and G. Wanner,
Geometric Numerical Integration. Structure-Preserving Algorithms for
Ordinary Differential Equations,
Springer Ser. Comput. Math. 31, Springer-Verlag, 2002.
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E. Hairer, A. Murua and J. M. Sanz-Serna,
The non-existence of symplectic multi-derivative Runge-Kutta methods,
BIT, 34, n. 1 (1994), 80-87.
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K. H. Kastlunger and G. Wanner,
Runge Kutta processes with multiple nodes,
Computing (Arch. Elektron. Rechnen), 9 (1972), 9-24.
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J. M. Sanz-Serna and M. P. Calvo,
Numerical Hamiltonian problems,
Applied Mathematics and Mathematical Computation, 7,
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M. Sofroniou and W. Oevel,
Symplectic Runge-Kutta Schemes I: Order Conditions,
SIAM J. Num. Anal., 34 (1997),
2063-2086.
Ernst Hairer
2002-05-19