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High Order Numerical Schemes for Second-Order FBSDEs with Applications to Stochastic Optimal Control

High Order Numerical Schemes for Second-Order FBSDEs with Applications to Stochastic Optimal Control

Abstract This is one of our series papers on multistep schemes for solving forward backward stochastic differential equations (FBSDEs) and related problems. Here we extend (with non-trivial updates) our multistep schemes in [W. Zhao, Y. Fu and T. Zhou, SIAM J. Sci. Comput., 36 (2014), pp. A1731-A1751] to solve the …