We investigate the symplecticity of multistep Runge-Kutta methods (MRKMs) as general linear methods (GLMs) for Hamiltonian systems in accordance with the definition due to Bochev and Scovel [1], Eirola and Sanz-Serna [2], and Hairer and Leone [3,4]. We present a necessary and sufficient condition fo
Symplectic properties of algorithms and simulation methods
β Scribed by Dennis J. Isbister; Debra J. Searles; Denis J. Evans
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 404 KB
- Volume
- 240
- Category
- Article
- ISSN
- 0378-4371
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β¦ Synopsis
Symplectic algorithms are investigated for their phase space conserving properties for thermostared Hamiltonians commonly used in equilibrium molecular dynamics. Corresponding algorithms can be generated for the dissipative Sllod equations of motion for Couette flow in two dimensions. This study focuses on the verification of the conjugate pairing rule (CPR) for such systems. For thermostatted Hamiltonian dynamics, adiabatic and thermostatted Dolls algorithms, the CPR is satisfied at each time step during a simulation unlike the Sllod case in which there are small yet finite deviations from the CPR.
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