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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：93/0  |  提交时间：2018/07/30
double-implicit Milstein method  split two-step Milstein method  strong convergence  exponential mean square stability  
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：114/0  |  提交时间：2018/07/30
Stochastic differential equations  Conserved quantities  Projection methods  Mean-square convergence  
SYMPLECTIC RUNGE-KUTTA SEMIDISCRETIZATION FOR STOCHASTIC SCHRODINGER EQUATION 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2016, 卷号: 54, 期号: 4, 页码: 2569-2593
作者:  Chen, Chuchu;  Hong, Jialin
收藏  |  浏览/下载：104/0  |  提交时间：2018/07/30
stochastic Schrodinger equation  infinite-dimensional stochastic Hamiltonian system  symplectic structure  symplectic Runge-Kutta method  semidiscretization  mean-square convergence order  
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：109/0  |  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