Symplectic Numerical Integrators in Constrained Hamiltonian Systems

Keywords

Verlet integration, Symplectic geometry, Symplectic integrator, Mathematics, Hamiltonian (control theory)

References

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Cited by

• An adaptive mass algorithm for Car-Parrinello and Ehrenfest ab initio molecular dynamicsAshraful Kadir, Mattias Sandberg, Anders Szepessy — 2014
• The discrete null space method for the energy consistent integration of constrained mechanical systems: Part I: Holonomic constraintsPeter Betsch — 2005
• Geometric Integration of Ordinary Differential Equations on ManifoldsErnst Hairer — 2001
• Symplectic Integration of Constrained Hamiltonian Systems by Runge-Kutta MethodsSebastian Reich — 1993
• Geometric and numerical methods for optimal control of mechanical systemsLeonardo Colombo — 2014
• Symmetric Linear Multistep Methods for Hamiltonian Systems on ManifoldsPaola Console — 2013
• Correction of Numerical Integration as an Optimal Control ProblemYu. G. Palii — 2002
• Explicit, Multi-Map Symplectic Integrator for Three -Body Classical Trajectory Studies in Hyperspherical CoordinatesPaul Burkhardt — 2004
• Cooperative DNA Recognition Modulated by an Interplay between Protein-Protein Interactions and DNA-Mediated AllosteryFelipe Merino, Benjamin Bouvier, Vlad Cojocaru — 2015
• Novel simulation methods for coulomb and hydrodynamic interactionsIgor Pasichnyk — 2004
• Numerical studies of geometric partial differential equations with symplectic methodsRalf Peter — 2012
• A technique for calculating particle systems containing rigid and soft partsNima Nouri, Saeed Ziaei‐Rad — 2015
• Analysis of multi-scale molecular dynamics algorithms for simulating biomoleculesYuefan Deng, Guowen Han — 2006
• Position versus momentum projections for constrained Hamiltonian systemsWerner M. Seiler — 1998
• A patch that imparts unconditional stability to certain explicit integrators for SDEsNawaf Bou‐Rabee, Eric Vanden‐Eijnden — 2010
• Exact and non-stiff sampling of highly oscillatory systems: an implicit mass-matrix penalization approachPetr Plecháč, Mathias Rousset — 2008
• A General Approach for Producing Hamiltonian Numerical Schemes for Fluid EquationsColin J. Cotter — 2005
• A new approach to the integration of rotational motion in systems with interacting rigid bodiesI. P. Omelyan — 1999
• Stabilization of invariants of discretized differential systemsUri M. Ascher — 1997
• R-Adaptive Multisymplectic and Variational IntegratorsTomasz M. Tyranowski, Mathieu Desbrun — 2013

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