Add to ORKGInternational audienceIn 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
In this thesis, we consider four different stochastic partial differential equations. Firstly, we st...
International audienceIn this paper, we study a class of stochastic partial differential equations (...
We discuss the basic concepts of computer vision with stochastic partial dif-ferential equations (SP...
In this paper, we address the question of the discretization of stochastic partial differential equa...
AbstractWe discuss the numerical solution of a number of stochastic perturbations of the Barkley mod...
We present an analytic and numerical study of the effects of external fluctuations in active media. ...
We discuss the numerical solution of a number of stochastic perturbations of the Barkley model of ex...
A stochastic partial differential equation (SPDE) is a partial differential equation containing a ra...
[Abstract]: Constructing discrete models of stochastic partial differential equations is very delica...
The long term aim is to use modern dynamical systems theory to derive discretisations of noisy, diss...
We review the behavior of theoretical models of excitable systems driven by Gaussian white noise. We...
Le système de FitzHugh-Nagumo stochastique est un modèle qualitatif pour la propagation de l’influx ...
Constructing discrete models of stochastic partial differential equations is very delicate. I apply ...
We present a method for mesoscopic, dynamic Monte Carlo simulations of pattern formation in excitabl...
These notes describe numerical issues that may arise when implementing a simulation method for a sto...
In this thesis, we consider four different stochastic partial differential equations. Firstly, we st...
International audienceIn this paper, we study a class of stochastic partial differential equations (...
We discuss the basic concepts of computer vision with stochastic partial dif-ferential equations (SP...
In this paper, we address the question of the discretization of stochastic partial differential equa...
AbstractWe discuss the numerical solution of a number of stochastic perturbations of the Barkley mod...
We present an analytic and numerical study of the effects of external fluctuations in active media. ...
We discuss the numerical solution of a number of stochastic perturbations of the Barkley model of ex...
A stochastic partial differential equation (SPDE) is a partial differential equation containing a ra...
[Abstract]: Constructing discrete models of stochastic partial differential equations is very delica...
The long term aim is to use modern dynamical systems theory to derive discretisations of noisy, diss...
We review the behavior of theoretical models of excitable systems driven by Gaussian white noise. We...
Le système de FitzHugh-Nagumo stochastique est un modèle qualitatif pour la propagation de l’influx ...
Constructing discrete models of stochastic partial differential equations is very delicate. I apply ...
We present a method for mesoscopic, dynamic Monte Carlo simulations of pattern formation in excitabl...
These notes describe numerical issues that may arise when implementing a simulation method for a sto...
In this thesis, we consider four different stochastic partial differential equations. Firstly, we st...
International audienceIn this paper, we study a class of stochastic partial differential equations (...
We discuss the basic concepts of computer vision with stochastic partial dif-ferential equations (SP...