𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Hamiltonian systems and symplectic integrators

✍ Scribed by Peter Görtz; Rudolf Scherer


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
297 KB
Volume
30
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Symplectic Numerical Integrators in Cons
✍ Benedict J. Leimkuhler; Robert D. Skeel 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 351 KB

Recent work reported in the literature suggests that for the long-time integration of Hamiltonian dynamical systems one should use methods that preserve the symplectic (or canonical) structure of the flow. Here we investigate the symplecticness of numerical integrators for constrained dynamics, such

Symplectic Structure of Discrete Hamilto
✍ Yuming Shi 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 68 KB

This paper is concerned with the symplectic structure of discrete nonlinear Hamiltonian systems. The results are related to an open problem that was first proposed by C. D. Ahlbrandt [J. Math. Anal. Appl. 180 (1993), 498-517] discussed elsewhere in the literature. But we give a different statement a

Symplectic rigidity, symplectic fixed po
✍ Dragomir L. Dragnev 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 200 KB

## Abstract In this paper we study a generalized symplectic fixed‐point problem, first considered by J. Moser in [20], from the point of view of some relatively recently discovered symplectic rigidity phenomena. This problem has interesting applications concerning global perturbations of Hamiltonia

Energy Conserving, Liouville, and Symple
✍ Daniel I. Okunbor 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 199 KB

In this paper, we construct an integrator that converves volume in phase space. We compare the results obtained using this method and a symplectic integrator. The results of our experiments do not reveal any superiority of the symplectic over strictly volume-preserving integrators. We also investiga