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Double-implicit and split two-step Milstein schemes for stochastic differential equations 期刊论文
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2016, 卷号: 93, 期号: 12, 页码: 1987-2011
作者:  Jiang, Fengze;  Zong, Xiaofeng;  Yue, Chao;  Huang, Chengming
收藏  |  浏览/下载：96/0  |  提交时间：2018/07/30
double-implicit Milstein method  split two-step Milstein method  strong convergence  exponential mean square stability  
The moment exponential stability criterion of nonlinear hybrid stochastic differential equations and its discrete approximations 期刊论文
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2016, 卷号: 146, 期号: 6, 页码: 1303-1328
作者:  Zong, Xiaofeng;  Wu, Fuke;  Huang, Chengming
收藏  |  浏览/下载：110/0  |  提交时间：2018/07/30
hybrid SDEs  moment exponential stability  Markov chain  Euler-Maruyama approximation  backward Euler-Maruyama approximation  split-step backward Euler-Maruyama approximation  
Projection methods for stochastic differential equations with conserved quantities 期刊论文
BIT NUMERICAL MATHEMATICS, 2016, 卷号: 56, 期号: 4, 页码: 1497-1518
作者:  Zhou, Weien;  Zhang, Liying;  Hong, Jialin;  Song, Songhe
收藏  |  浏览/下载：118/0  |  提交时间：2018/07/30
Stochastic differential equations  Conserved quantities  Projection methods  Mean-square convergence  
Multistep Schemes for Forward Backward Stochastic Differential Equations with Jumps 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2016, 卷号: 69, 期号: 2, 页码: 651-672
作者:  Fu, Yu;  Zhao, Weidong;  Zhou, Tao
收藏  |  浏览/下载：129/0  |  提交时间：2018/07/30
Multistep scheme  Jump-diffusion process  Forward backward stochastic differential equation with jumps  
Preservation of physical properties of stochastic Maxwell equations with additive noise via stochastic multi-symplectic methods 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2016, 卷号: 306, 页码: 500-519
作者:  Chen, Chuchu;  Hong, Jialin;  Zhang, Liying
收藏  |  浏览/下载：117/0  |  提交时间：2018/07/30
Stochastic Maxwell equations  Stochastic Hamiltonian partial differential equations  Dissipative property of averaged energy  Conservation law of averaged divergence  Stochastic multi-symplectic method  
Shadowing orbits of stochastic differential equations 期刊论文
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 卷号: 9, 期号: 5, 页码: 2006-2018
作者:  Zhan, Qingyi
收藏  |  浏览/下载：114/0  |  提交时间：2018/07/30
Stochastic differential equations  random dynamical system  shadowing  multiplicative ergodic theorem  stochastic Lorenz system  
Exponential stability of the exact and numerical solutions for neutral stochastic delay differential equations 期刊论文
APPLIED MATHEMATICAL MODELLING, 2016, 卷号: 40, 期号: 1, 页码: 19-30
作者:  Zong, Xiaofeng;  Wu, Fuke
收藏  |  浏览/下载：120/0  |  提交时间：2018/07/30
Neutral stochastic delay differential equations  Moment exponential stability  Euler Maruyama method  Backward Euler Maruyama method  
CONSERVATIVE METHODS FOR STOCHASTIC DIFFERENTIAL EQUATIONS WITH A CONSERVED QUANTITY 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2016, 卷号: 13, 期号: 3, 页码: 435-456
作者:  Chen, Chuchu;  Cohen, David;  Hong, Jialin
收藏  |  浏览/下载：113/0  |  提交时间：2018/07/30
Stochastic differential equations  invariants  conservative methods  stochastic geometric numerical integration  quadrature formula  splitting technique  mean-square convergence order  weak convergence order