An Explicit Multistep Scheme for Mean-Field Forward-Backward Stochastic Differential Equations

An Explicit Multistep Scheme for Mean-Field Forward-Backward Stochastic Differential Equations

Year:    2022

Author:    Yabing Sun, Jie Yang, Weidong Zhao, Tao Zhou

Journal of Computational Mathematics, Vol. 40 (2022), Iss. 4 : pp. 517–540

Abstract

This is one of our series works on numerical methods for mean-field forward backward stochastic differential equations (MFBSDEs). In this work, we propose an explicit multistep scheme for MFBSDEs which is easy to implement, and is of high order rate of convergence. Rigorous error estimates of the proposed multistep scheme are presented. Numerical experiments are carried out to show the efficiency and accuracy of the proposed scheme.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jcm.2011-m2019-0205

Journal of Computational Mathematics, Vol. 40 (2022), Iss. 4 : pp. 517–540

Published online:    2022-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    24

Keywords:    Mean-field forward backward stochastic differential equations Explicit multistep scheme Error estimates.

Author Details

Yabing Sun

Jie Yang

Weidong Zhao

Tao Zhou