On order conditions for partitioned symplectic methods

SIAM Journal on Numerical Analysis

Volumn 34, Issue 6, 1997, Pages 2204-2211

  Murua, Ander ^a  

^a NONE

Author keywords

H trees; Hamiltonian systems; Order conditions; P series; Partitioned Runge kutta methods; Symplectic methods

Indexed keywords

EID: 0013365236     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142995285162     Document Type: Article

References (9)

1. L. ABIA AND J. M. SANZ-SERNA, Partitioned Runge-Kutta methods for separable Hamiltonian problems, Math. Comp., 60 (1993), pp. 617-634.
2. A. L. ARAÚJO, A. MURUA, AND J. M. SANZ-SERNA, Symplectic methods based on decompositions, SIAM J. Numer. Anal., 34 (1997), pp. 1926-1947.
3. M. P. CALVO AND J. M. SANZ-SERNA, Canonical B-series, Numer. Math., 67 (1994), pp. 161-175.
4. E. HAIRER, Backward analysis of numerical integrators and symplectic methods, Ann. Numer. Math., 1 (1994), pp. 107-132.
5. E. HAIRER, Order conditions for numerical methods for partitioned ordinary differential equations, Numer. Math., 36 (1981), pp. 431-445.
6. E. HAIRER, S.P. NØRSETT, AND G. WANNER, Solving ordinary differential equations I, 2nd ed., Springer-Verlag, New York, 1993.
7. A. MURUA, Mètodos simplècticos desarrollables en P-series, Ph.D. thesis, Universidad de Valladolid, Spain, 1994.
8. J. M. SANZ-SERNA AND L. ABIA, Order conditions for canonical Runge-Kutta schemes, SIAM J. Numer. Anal., 28 (1991), pp. 1081-1096.
9. J. M. SANZ-SERNA AND M. P. CALVO, Numerical Hamiltonian Problems, Chapman and Hall, London, 1994.