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Positivity-preserving symplectic methods for the stochastic Lotka-Volterra predator-prey model 期刊论文
BIT NUMERICAL MATHEMATICS, 2021, 页码: 28
作者:  Hong, Jialin;  Ji, Lihai;  Wang, Xu;  Zhang, Jingjing
收藏  |  浏览/下载：112/0  |  提交时间：2022/04/02
Stochastic Lotka-Volterra predator-prey model  Positivity  Stochastic symplecticity  Structure-preserving methods  Convergence order conditions  
A multigrid method for the ground state solution of Bose-Einstein condensates based on Newton iteration 期刊论文
BIT NUMERICAL MATHEMATICS, 2021, 页码: 19
作者:  Xu, Fei;  Xie, Hehu;  Xie, Manting;  Yue, Meiling
收藏  |  浏览/下载：132/0  |  提交时间：2021/04/26
BEC  GPE  Nonlinear eigenvalue problem  Multigrid method  Finite element method  
Optimal quadratic element on rectangular grids for H-1 problems 期刊论文
BIT NUMERICAL MATHEMATICS, 2020, 页码: 25
作者:  Zeng, Huilan;  Zhang, Chen-Song;  Zhang, Shuo
收藏  |  浏览/下载：181/0  |  提交时间：2020/10/12
Optimal quadratic element  Rectangular grids  Boundary value problem  Eigenvalue problem  Lower bound  
Nonstandard finite element de Rham complexes on cubical meshes 期刊论文
BIT NUMERICAL MATHEMATICS, 2020, 卷号: 60, 期号: 2, 页码: 373-409
作者:  Gillette, Andrew;  Hu, Kaibo;  Zhang, Shuo
收藏  |  浏览/下载：147/0  |  提交时间：2020/06/30
Finite element  Nonconforming element  de Rham complex  
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  
Regularized HSS iteration methods for saddle-point linear systems 期刊论文
BIT NUMERICAL MATHEMATICS, 2017, 卷号: 57, 期号: 2, 页码: 287-311
作者:  Bai, Zhong-Zhi;  Benzi, Michele
收藏  |  浏览/下载：128/0  |  提交时间：2018/07/30
Saddle-point linear system  Hermitian and skew-Hermitian splitting  Iterative methods  Inexact implementation  Preconditioning  Convergence  
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