Particle system algorithm and chaos propagation related to   non-conservative McKean type stochastic differential equations
  We discuss numerical aspects related to a new class of nonlinear Stochastic Differential Equations in the sense of McKean, which are supposed to represent non conservative nonlinear Partial Differential equations (PDEs). We propose an original interacting particle system for which we discuss the propagation of chaos. We consider a time-discretized approximation of this particle system to which we associate a random function which is proved to converge to a solution of a regularized version of a nonlinear PDE. 
Anthony Le Cavil (ENSTA ParisTech UMA, EDF R and D), Nadia Oudjane   (FiME Lab, EDF R and D), Francesco Russo (ENSTA ParisTe...
math.PR