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Structure-Preserving Numerical Methods for Stochastic Poisson Systems 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2021, 卷号: 29, 期号: 3, 页码: 802-830
作者:  Hong, Jialin;  Ruan, Jialin;  Sun, Liying;  Wang, Lijin
收藏  |  浏览/下载：132/0  |  提交时间：2021/04/26
Stochastic Poisson systems  Poisson structure  Casimir functions  Poisson integrators  symplectic integrators  generating functions  stochastic rigid body system  
HIGH ORDER EXPLICIT LOCAL TIME STEPPING METHODS FOR HYPERBOLIC CONSERVATION LAWS 期刊论文
MATHEMATICS OF COMPUTATION, 2020, 卷号: 89, 期号: 324, 页码: 1807-1842
作者:  Thi-Thao-Phuong Hoang;  Ju, Lili;  Leng, Wei;  Wang, Zhu
收藏  |  浏览/下载：142/0  |  提交时间：2020/05/24
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：160/0  |  提交时间：2020/05/24
High order  Separable Hamiltonian  Quadratic  
Conservative explicit local time-stepping schemes for the shallow water equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 卷号: 382, 页码: 152-176
作者:  Hoang, Thi-Thao-Phuong;  Leng, Wei;  Ju, Lili;  Wang, Zhu;  Pieper, Konstantin
收藏  |  浏览/下载：166/0  |  提交时间：2019/04/02
Shallow water equations  Local time-stepping  Strong stability preserving Runge-Kutta  Finite volume  Mass conservation  Potential vorticity  
Construction of Symplectic Runge-Kutta Methods for Stochastic Hamiltonian Systems 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2017, 卷号: 21, 期号: 1, 页码: 237-270
作者:  Wang, Peng;  Hong, Jialin;  Xu, Dongsheng
收藏  |  浏览/下载：106/0  |  提交时间：2018/07/30
Stochastic differential equation  Stochastic Hamiltonian system  symplectic integration  Runge-Kutta method  order condition  
Isogeometric analysis based on extended Catmull-Clark subdivision 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2016, 卷号: 71, 期号: 1, 页码: 105-119
作者:  Pan, Qing;  Xu, Guoliang;  Xu, Gang;  Zhang, Yongjie
收藏  |  浏览/下载：100/0  |  提交时间：2018/07/30
Catmull-Clark subdivision  Isogeometric analysis  Computer Aided Design  Finite element analysis  
HETEROGENEOUS MULTISCALE FINITE ELEMENT METHOD WITH NOVEL NUMERICAL INTEGRATION SCHEMES 期刊论文
COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2010, 卷号: 8, 期号: 4, 页码: 863-885
作者:  Du, Rui;  Ming, Pingbing
收藏  |  浏览/下载：92/0  |  提交时间：2018/07/30
Heterogeneous multiscale method  finite element method  numerical integration schemes  elliptic homogenization problems  
Explicit multi-symplectic methods for Hamiltonian wave equations 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2007, 卷号: 2, 期号: 4, 页码: 662-683
作者:  Hong, Jialin;  Jiang, Shanshan;  Li, Chun;  Liu, Hongyu
收藏  |  浏览/下载：116/0  |  提交时间：2018/07/30
Hamiltonian wave equations  multi-symplectic integration  symplectic Runge-Kutta methods  symplectic Runge-Kutta-Nystrom methods  
A new superconvergence property of nonconforming rotated Q(1) element in 3D 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2007, 卷号: 197, 期号: 1-4, 页码: 95-102
作者:  Ming, Pingbing;  Shi, Zhong-Ci;  Xu, Yun
收藏  |  浏览/下载：110/0  |  提交时间：2018/07/30
superconvergence  nonconforming rotated Q(1) element  numerical integration  
Stability analysis and application of the exponential time differencing schemes 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2004, 卷号: 22, 期号: 2, 页码: 200-209
作者:  Du, Q;  Zhu, WX
收藏  |  浏览/下载：85/0  |  提交时间：2018/07/30
time integration schemes  exponential time differencing  Fourier spectral methods  stability  Fourier analysis  energy estimates  maximum principle  Allen-Cahn equations  phase transitions