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SYMPLECTIC INTEGRATION WITH PROCESSING: A GENERAL STUDY.

• Authors : Blanes, S.¹ ; Casas, F.² ; Ros, J.¹

• Source: SIAM Journal on Scientific Computing. 1999, Vol. 21 Issue 2, p711-727. 17p.

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NUMERICAL STOCHASTIC INTEGRATION FOR QUASI-SYMPLECTIC FLOWS.

• Authors : Mannella, R.

Subjects: LANGEVIN equations; ALGORITHMS; EQUILIBRIUM

• Source: SIAM Journal on Scientific Computing; 2006, Vol. 27 Issue 6, p2121-2139, 19p, 1 Diagram, 1 Chart, 7 Graphs

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A New Implementation of Symplectic Runge–Kutta Methods

• Authors : Robert I. McLachlan

Subjects: Implicit function; Applied Mathematics; Numerical analysis

• Source: SIAM Journal on Scientific Computing. 29:1637-1649

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A Changing-Chart Symplectic Algorithm for Rigid Bodies and Other Hamiltonian Systems on Manifolds

• Authors : Anna Maria Cherubini; Francesco Fassò; Giancarlo Benettin ...

Subjects: Atlas (topology); Applied Mathematics; Symplectic integrator

• Source: SIAM Journal on Scientific Computing. 23:1189-1203

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Symplectic Integration with Processing: A General Study

• Authors : José Luis Regidor Ros; Fernando Casas; Sergio Blanes

Subjects: Pure mathematics; Applied Mathematics; Symplectic representation

• Source: SIAM Journal on Scientific Computing. 21:711-727

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A Family of Symplectic Integrators: Stability, Accuracy, and Molecular Dynamics Applications

• Authors : Tamar Schlick; Robert D. Skeel; Guihua Zhang

Subjects: Hamiltonian mechanics; Differential equation; Applied Mathematics

• Source: SIAM Journal on Scientific Computing. 18:203-222

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Explicit Symplectic Integrators Using Hessian--Vector Products

• Authors : Jesús María Sanz-Serna; Robert D. Skeel; M. A. López-Marcos

Subjects: Hamiltonian mechanics; Hessian matrix; Applied Mathematics

• Source: SIAM Journal on Scientific Computing. 18:223-238

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