On higher-order semi-explicit symplectic partitioned Runge-Kutta methods for constrained Hamiltonian systems

Numerische Mathematik

Volumn 76, Issue 2, 1997, Pages 231-247

  Reich, Sebastian ^a  

^a ZUSE INSTITUTE BERLIN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031493991     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110050261     Document Type: Article

References (17)

1. Anderson, H.C., Rattle (1983): A 'Velocity' Version of the Shake algorithm for Molecular Dynamics Calculations, J. Comp. Phys. 52, 24-34
2. Arnold, V.I., (1988): Dynamical Systems III, Springer-Verlag, NY
3. Benettin, G., Giorgilli, A., (1994): On the Hamiltonian Interpolation of Near to the Identity Symplectic Mappings with Application to Symplectic Integration Algorithms. J. Statist. Phys. 74, 1117-1143
4. Hairer, E., (1994): Backward Analysis of Numerical Integrators and Symplectic Methods, Annals of Numerical Mathematics 1, 107-132
5. Hairer, E., Nørsett, S.P., Wanner, G., (1993): Solving Ordinary Differential Equations, I, second edition, Springer-Verlag
6. Jay, L., (1996): Symplectic Partitioned Runge-Kutta Methods for Constrained Hamiltonian Systems, SIAM J. Num. Anal. 33, 368-387
7. Leimkuhler, B., Reich, S., (1994): Symplectic integration of constrained Hamiltonian systems, Math. Comput. 63, 589-605
8. Leimkuhler, B., Skeel, R.D., (1994): Symplectic Numerical Integrators in Constrained Hamiltonian Systems, J. Comp. Phys. 112, 117-125
9. Mc Lachlan, R.I., (1995): On the numerical integration of ordinary differential equations by symmetric composition methods, SIAM J. Sci. Comput. 16, 151-168
10. McLachlan, R.I., Scovel, C., Equivariant Constrained Symplectic Integration, J. Nonlinear Science, to appear
11. Okunbor, D., Skeel, R.D., (1992): Explicit canonical methods for Hamiltonian systems, Math. Comput. 59, 439-455
12. Ostermann, A., (1993): A class of half-explicit Runge-Kutta methods for differential-algebraic systems of index 3, APNUM 13, 165-179
13. Reich, S. (1993): Symplectic integration of constrained Hamiltonian systems by Runge-Kutta methods, Techn. Report 93-13, Dept. of Comput. Sci., University of British Columbia
14. Reich, S. (1993): Numerical Integration of the Generalized Euler Equations, Techn. Report 93-20, Dept. of Comput. Science, University of British Columbia
15. Reich, S., (1996): Symplectic Integration of Constrained Hamiltonian Systems by Composition Methods, SIAM J. Numer. Anal. 33, 475-491
16. Varadarajan, V.S., (1974): Lie Groups, Lie Algebras, and Their Representation, Prentice-Hall, Englewood Cliffs
17. Yoshida, H., (1990): Construction of higher order symplectic integrators, Phys. Lett. A 150, 262-269