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High-Order Energy-Preserving Methods for Stochastic Poisson Systems
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A family of explicit parametric stochastic Runge-Kutta methods for stochastic
Poisson systems is developed. The methods are based on perturbed collocation methods
with truncated random variables and are energy-preserving. Under certain conditions,
the truncation does not change the convergence order. More exactly, the methods retain the mean-square convergence order of the original stochastic Runge-Kutta method.
Numerical examples show the efficiency of the methods constructed.
Global Science Press
Title: High-Order Energy-Preserving Methods for Stochastic Poisson Systems
Description:
A family of explicit parametric stochastic Runge-Kutta methods for stochastic
Poisson systems is developed.
The methods are based on perturbed collocation methods
with truncated random variables and are energy-preserving.
Under certain conditions,
the truncation does not change the convergence order.
More exactly, the methods retain the mean-square convergence order of the original stochastic Runge-Kutta method.
Numerical examples show the efficiency of the methods constructed.
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