: We present a formula to calculate the probability density function of the solution of the random linear transport equation in terms of the density functions of the velocity and t...
In this paper, a new method is proposed in order to evaluate the stochastic solution of linear random differential equation. The method is based on the combination of the probabili...
In this paper, the critical clearing time, tcc in power system transient stability analysis is modeled as a random variable due to the randomness nature of power system load. A lin...
We propose a new numerical scheme for linear transport equations. It is based on a decomposition of the distribution function into equilibrium and non-equilibrium parts. We also us...
Abstract. In many biological examples of biased random walks, movement statistics are determined by state dynamics that are internal to the organism or cell and that mediate respon...