@Article{EAJAM-8-399, author = {Yabing Sun and Weidong Zhao}, title = {New Second-Order Schemes for Forward Backward Stochastic Differential Equations}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {8}, number = {3}, pages = {399--421}, abstract = {

The Feynman-Kac formulas are used to develop new second-order numerical schemes for the forward-backward stochastic differential equations (FBSDEs) of the first and second order. The methods are simple and allow an easy implementation. Numerous numerical tests for FBSDEs, fully nonlinear second-order parabolic partial differential equations and the Hamilton-Jacobi-Bellman equations show the stability and a high accuracy of the methods.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.100118.070318}, url = {http://global-sci.org/intro/article_detail/eajam/12615.html} }