Energy drift in the numerical integration of hamiltonian problems

Journal of Numerical Analysis, Industrial and Applied Mathematics

Volumn 4, Issue 3-4, 2009, Pages 153-170

  Brugnano, Luigi ^a   Trigiante, Donato ^a  

^a UNIVERSITY OF FLORENCE   (Italy)

Author keywords

Numerical drift; Periodic orbits; Reversible hamiltonian systems; Symmetric methods; Time reversal symmetry

Indexed keywords

EID: 70450147347     PISSN: 17908140     EISSN: 17908159     Source Type: Journal    
DOI: None     Document Type: Article

References (9)

1. L. Brugnano, D. Trigiante. Solving Differential Problems by Multistep Initial and Boundary Value Methods, Gordon and Breach Science Publ., 1998.
2. E. Faou, E. Hairer, T. Pham. Energy conservation with non-symplectic methods: examples and counter-examples, BIT 44 (2004) 699-709.
3. H. Hairer, C. Lubich, G. Wanner. Geometric Numerical Integration, Springer, 2004.
4. B. Leimkuhler, S. Reich. Simulating Hamiltonian Dynamics, Cambridge, 2004.
5. R. I. McLachlan, M. Perlmutter. Energy drift in reversible time integration, J. Phys. A: Math. Gen. 37 (2004) 593-598.
6. J. S.W. Lamb, J.A.G. Roberts. Time-reversal symmetry in dynamical systems: a survey, Physica D 112 (1998) 1-39.
7. H. Goldstein, C. Poole and J. Safko. Classical Mechanics, 3rd Ed., Addison Wesley, 2000.
8. T. L. Saaty, J. Bram. Nonlinear Mathematics, Dover, 1964.
9. http://math.ucr.edu/home/baez/time/