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Modified averaged vector field methods preserving multiple invariants for conservative stochastic differential equations 期刊论文
BIT NUMERICAL MATHEMATICS, 2020, 页码: 41
作者:  Chen, Chuchu;  Hong, Jialin;  Jin, Diancong
收藏  |  浏览/下载:130/0  |  提交时间:2020/05/24
Stochastic differential equations  Invariants  Conservative methods  Mean square convergence order  Quadrature formula  
New high order symplectic integrators via generating functions with its application in many-body problem 期刊论文
BIT NUMERICAL MATHEMATICS, 2019, 页码: 27
作者:  Tu, Xiongbiao;  Murua, Ander;  Tang, Yifa
收藏  |  浏览/下载:157/0  |  提交时间:2020/05/24
High order  Separable Hamiltonian  Quadratic  
On banded M-splitting iteration methods for solving discretized spatial fractional diffusion equations 期刊论文
BIT NUMERICAL MATHEMATICS, 2019, 卷号: 59, 期号: 1, 页码: 1-33
作者:  Bai, Zhong-Zhi;  Lu, Kang-Ya
收藏  |  浏览/下载:106/0  |  提交时间:2019/12/13
Matrix splitting  Iteration method  Convergence property  Spatial fractional diffusion equation  
Explicit pseudo-symplectic methods for stochastic Hamiltonian systems 期刊论文
BIT NUMERICAL MATHEMATICS, 2018, 卷号: 58, 期号: 1, 页码: 163-178
作者:  Niu, Xinyan;  Cui, Jianbo;  Hong, Jialin;  Liu, Zhihui
收藏  |  浏览/下载:162/0  |  提交时间:2018/07/30
Stochastic Hamiltonian system  Pseudo-symplectic method  Explicit Runge-Kutta method  
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:115/0  |  提交时间:2018/07/30
Stochastic differential equations  Conserved quantities  Projection methods  Mean-square convergence  
Linearization-preserving self-adjoint and symplectic integrators 期刊论文
BIT NUMERICAL MATHEMATICS, 2009, 卷号: 49, 期号: 1, 页码: 177-197
作者:  McLachlan, R. I.;  Quispel, G. R. W.;  Tse, P. S. P.
收藏  |  浏览/下载:101/0  |  提交时间:2018/07/30
Hamiltonian systems  Linearization-preserving methods  Symplectic integrators  
A finite element method for elliptic problems with rapidly oscillating coefficients 期刊论文
BIT NUMERICAL MATHEMATICS, 2007, 卷号: 47, 期号: 1, 页码: 77-102
作者:  He, Wen-Ming;  Cui, Jun-Zhi
收藏  |  浏览/下载:96/0  |  提交时间:2018/07/30
second-order elliptic equations with rapidly oscillating coefficients  homogenization theory  finite element method