Splitting method Langevin dynamics

Other Langevin dynamics splitting schemes in common use utilize a different additive decomposition of the SDE vector field. For example, the Stochastic Position Verlet (SPV) method of [265] relies on the splitting strategy... 

A simple first order example of a Langevin dynamics integrator is the method obtained by composing one of the Symplectic Euler variants with an Ornstein-Uhlenbeck step. To get a feel for how the expansion goes, let us work out its terms for such a splitting scheme in the case of a one degree of freedom model with unit mass H = + f/(g). To be explicit, let us say our numerical method first solves... 

Numerical treatment of the Nos6-Hoover Chain system can be performed by splitting, just as in Newtonian and Langevin dynamics. Various related methods and comparisons may be found in [65,192,230,253]. 

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