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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：130/0  |  提交时间：2018/07/30
Stochastic differential equations  Conserved quantities  Projection methods  Mean-square convergence  
Modified equations for weakly convergent stochastic symplectic schemes via their generating functions 期刊论文
BIT NUMERICAL MATHEMATICS, 2016, 卷号: 56, 期号: 3, 页码: 1131-1162
作者:  Wang, Lijin;  Hong, Jialin;  Sun, Liying
收藏  |  浏览/下载：89/0  |  提交时间：2018/07/30
Stochastic backward error analysis  Stochastic modified equations  Stochastic symplectic methods  Stochastic Hamiltonian systems  Stochastic generating functions  
Energy evolution of multi-symplectic methods for Maxwell equations with perfectly matched layer boundary 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 卷号: 439, 期号: 1, 页码: 256-270
作者:  Hong, Jialin;  Ji, Lihai
收藏  |  浏览/下载：127/0  |  提交时间：2018/07/30
Energy evolution  Maxwell equations  Perfectly matched layer  Multi-symplectic Yee method  Multi-symplectic Runge-Kutta methods  
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：126/0  |  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  
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：116/0  |  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：123/0  |  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  
QUASI-EFFECTIVE STABILITY FOR NEARLY INTEGRABLE HAMILTONIAN SYSTEMS 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2016, 卷号: 21, 期号: 1, 页码: 67-80
作者:  Cong, Fuzhong;  Hong, Jialin;  Li, Hongtian
收藏  |  浏览/下载：102/0  |  提交时间：2018/07/30
Effective stability  quasi-effective stability  near-invariant torus  nearly integrable Hamiltonian system