@Article{NMTMA-12-4, author = {Wu, Jingwen and Zhao, Weidong and Zhang, Chengjian and Wu, Jingwen and Zhao, Weidong}, title = {One-Step Multi-Derivative Methods for Backward Stochastic Differential Equations}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2019}, volume = {12}, number = {4}, pages = {1213--1230}, abstract = {

This paper deals with numerical solutions of backward stochastic differential equations (BSDEs). For solving BSDEs, a class of third-order one-step multi-derivative methods are derived. Several numerical examples are presented to illustrate the computational effectiveness and high-order accuracy of the methods. To show the advantage of the methods, a comparison with $\theta$-methods is also given.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.OA-2018-0122}, url = {https://global-sci.com/article/90437/one-step-multi-derivative-methods-for-backward-stochastic-differential-equations} }