Special Session 116: Stochastic computing and structure preserving methods

Strong Stability Preserving Multistep Schemes for FBSDEs

Weidong Zhao
Shandong University
Peoples Rep of China
Co-Author(s):    Shuixin Fang, Tao Zhou
Abstract:
This talk concerns with strong stability preserving (SSP) multistep schemes for forward backward stochastic differential equations (FBSDEs). We first perform a comprehensive analysis on a general type of multistep schemes for FBSDEs, then we present new sufficient conditions on the coefficients such that the associated schemes are stable and enjoy certain order of consistency. Upon these results, we propose a practical way to design high-order SSPM schemes for FBSDEs. Some numerical experiments are carried out to show the merits of our SSP multist schemes.