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Zhou, H., Li, Y. and Wang, Z. (2016) A New Second Order Numerical Scheme for Solving Forward Backward Stochastic Differential Equations with Jumps. Applied Mathematics, 7, 1408-1414.
https://doi.org/10.4236/am.2016.712121

has been cited by the following article:

• TITLE: Numerical Scheme for Solving Stochastic Differential Equations with G-Lévy Process

  AUTHORS: Jiawen Mei, Yifei Xin

  KEYWORDS: G-Lévy Process, G-Expectation Property, SDEs, Euler Scheme

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.10 No.2, February 24, 2022

  ABSTRACT: In this paper, we propose numerical schemes for stochastic differential equations driven by G-Lévy process under the G-expectation framework. By using G-Itô formula and G-expectation property, we propose Euler scheme and Milstein scheme which have order-1.0 convergence rate. And two numerical experiments including Ornstein-Uhlenbeck and Black-Scholes cases are given.