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math.NA2014
Effective Computation of Stochastic Protein Kinetic Equation by Reducing Stiffness via Variable Transformation
Lijin Wang
The stochastic protein kinetic equations can be stiff for certain parameters, which makes their numerical simulation rely on very small time step sizes, resulting in large computat…
math.NA2014
Modified equations for weak stochastic symplectic schemes via their generating functions
Lijin Wang, Jialin Hong
In this paper, a systematic approach of constructing modified equations for weak stochastic symplectic methods of stochastic Hamiltonian systems is given via using the generating f…
math.NA2014
Near Preservation of Quadratic Invariants by Stochastic Runge-Kutta Methods
Jialin Hong, Lijin Wang, Dongsheng Xu +1
Based on the combinatory theory of rooted colored trees, we investigate the conditions for the explicit stochastic Runge-Kutta (SRK) methods to preserve quadratic invariants (QI) u…