Dr. Baohui Hou, (ICMSEC, AMSS)

Energy preserving fully discrete schemes for nonlinear stochastic wave equations with multiplicative noise

9 月 29 日（周三） 下午 16:00-17:00 数学院南楼 202 教室

In this talk, we present efficient numerical schemes preserving the averaged energy evolution law for nonlinear stochastic wave equations driven by multiplicative noise. We first apply the compact finite difference method and the interior penalty discontinuous Galerkin finite element method to discretize space variable and present two semi-discrete schemes, respectively. Then we make use of the discrete gradient method and the Pad\'e approximation to propose efficient fully-discrete schemes. These semi-discrete and fully-discrete schemes are proved to preserve the discrete averaged energy evolution law. In particular, we also prove that the proposed fully-discrete schemes exactly inherit the averaged energy evolution law almost surely if the considered model is driven by additive noise. Numerical experiments are given to confirm theoretical findings. 

欢迎大家参加！