Results 111 to 120 of about 1,079 (166)
Symplectic Integration of Hamiltonian Wave Equations
, 1994 The numerical integration of a wide class of Hamiltonian partial differential equations by standard symplectic schemes is discussed, with a consistent, Hamiltonian approach.
Robert Mclachlan
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Symplectic Structures on Integral Manifolds [PDF]
Indiana University Mathematics Journal, 1973 openaire +2 more sources
Benchmark: Tao's symplectic integration method
20 pages, 3 figures, 7 tables, implementation codeA benchmark test was conducted for a new symplectic integration method originally developed by Molei Tao.
Caldas, Iberê +2 more
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A survey of open problems in symplectic integration
, 1993 In the past few years there has been a substantial amount of research on symplectic integration. The subject is only part of a program concerned with numerically preserving a system`s inherent geometrical structures.
Scovel, C., McLachlan, R. I.
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Symplectic Integration Of Constrained Hamiltonian Systems By Composition Methods
. Recent work reported in the literature suggests that for the long-term integration of Hamiltonian dynamical systems one should use methods that preserve the symplectic structure of the flow.
Sebastian Reich
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A PRODUCT FORMULA FOR GROMOV-WITTEN INVARIANTS
, 2012 We establish a product formula for Gromov-Witten invariants for closed relatively semi-positive Hamiltonian fibrations, with connected fiber, and over any connected symplectic base.
Hyvrier, Clément,
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Benchmark: Tao\u27s symplectic integration method
A benchmark test was conducted for a new symplectic integration method originally developed by Molei Tao. The method raises interest due to its explicit evolution equation, with applicability to both separable and non-separable Hamiltonian systems, and ...
Lazarotto, Matheus +2 more
core
, 2010 International Conference on Open Repositories : Proceedings, The 5th International Conference on Open Repositories (OR2010), Madrid, Spain, 6-9 July ...
Jones, Richard
openaire +3 more sources
Symplectic integration of nonlinear Hamiltonian systems
Pramana - Journal of Physics, 1997 There exist several standard numerical methods for integrating ordinary differential equations. However, if one is interested in integration of Hamiltonian systems, these methods can lead to wrong results.
Govindan Rangarajan +1 more
exaly +3 more sources
Numerical Stochastic Integration for Quasi-Symplectic Flows
SIAM Journal of Scientific Computing, 2006 Algorithms for the numerical integration of Langevin equations obeying detailed balance are introduced. The algorithms are derived fulfilling the requirements that they should become symplectic in the deterministic frictionless limit, and should ...
R Mannella
exaly +2 more sources