The paper provides a nonlinear stability analysis for a class of stochastic Runge-Kutta
methods, applied to problems generating mean-square contractive solutions. In particular …

In this paper, a simple class of stochastic partitioned Runge–Kutta (SPRK) methods is
proposed for solving stochastic Hamiltonian systems with additive noise. Firstly, the order …

In light of the recently published complete set of statistically correct Grønbech–Jensen (GJ)
methods for discrete-time thermodynamics, we revise a differential operator splitting method …

In this paper, we construct stochastic symplectic Runge–Kutta (SSRK) methods of high
strong order for Hamiltonian systems with additive noise. By means of colored rooted tree …

For a wide range of phenomena, current computational ability does not always allow for
atomistic simulations of high-dimensional molecular systems to reach time scales of interest …

In this paper a set of previous general results for the development of B--series for a broad
class of stochastic differential equations has been collected. The applicability of these …

In this paper, a family of arbitrary high order quadratic invariants and energy conservation
parametric stochastic partitioned Runge-Kutta methods (SPRK) are constructed for …

In this paper a set of previous general results for the development of B–series for a broad
class of stochastic differential equations has been col-lected. The applicability of these …

In this paper, a novel way of constructing symplectic stochastic partitioned Runge-Kutta
methods for stochastic Hamiltonian systems is presented. First, a new class of continuous …

The Langevin equation is a stochastic differential equation frequently used in molecular
dynamics for simulating systems with a constant temperature. Recent developments have …