Simulation of SPDE's for Excitable Media using Finite Elements
  In this paper, we address the question of the discretization of Stochastic Partial Differential Equations (SPDE's) for excitable media. Working with SPDE's driven by colored noise, we consider a numerical scheme based on finite differences in time (Euler-Maruyama) and finite elements in space. Motivated by biological considerations, we study numerically the emergence of reentrant patterns in excitable systems such as the Barkley or Mitchell-Schaeffer models. 
Boulakia Muriel and Genadot Alexandre and Thieullen Mich\`ele
math.PR