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Computer simulation of the stochastic transport equation
(EMAp - Escola de Matemática Aplicada, 2015)
In this article the numerical approximation of the stochastic transport equation is considered. We propose a new computational scheme for the effective simulation of the solutions of this equation. Results on the convergence ...
A Higher order and stable method for the numerical integration of Random Differential Equations
(EMAp - Escola de Matemática Aplicada, 2014-11)
Over the last few years there has been a growing and renovated interest in the numerical study of Random Differential Equations (RDEs). On one hand it is motivated by the fact that RDEs have played an important role in the ...