J. Villa‐Morales

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20162025

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math.PR2025

Some stochastic process techniques applied to deterministic models

Eric José Ávila-Vales, José Villa-Morales

Stochastic mathematical models are essential tools for understanding and predicting complex phenomena. The purpose of this work is to study the exit times of a stochastic dynamical…

math.PR2016

Solution of the Dirichlet problem for the equation $a Δ u + b \cdot \nabla u = 0$ by the Monte Carlo method

José Villa-Morales

In this paper we study the Dirichlet problem corresponding to an open bounded set $D \subset R^{d}$ and the operator \begin{equation*} A=\sum_{i=1}^{d}a\frac{\partial ^{2}}…

Some stochastic process techniques applied to deterministic models

Solution of the Dirichlet problem for the equation aΔu+b⋅∇u=0 by the Monte Carlo method

Solution of the Dirichlet problem for the equation $a Δ u + b \cdot \nabla u = 0$ by the Monte Carlo method