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A fourth-order unfitted characteristic finite element method for free-boundary problems 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 469, 页码: 19
作者:  Ma, Chuwen;  Zheng, Weiying
收藏  |  浏览/下载：66/0  |  提交时间：2023/02/07
Free-boundary problems  Unfitted characteristic finite element  methods  Convection-diffusion equation  Navier-Stokes equations  
A spectral method for stochastic fractional PDEs using dynamically-orthogonal/bi-orthogonal decomposition 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 461, 页码: 17
作者:  Zhao, Yue;  Mao, Zhiping;  Guo, Ling;  Tang, Yifa;  Karniadakis, George Em
收藏  |  浏览/下载：60/0  |  提交时间：2023/02/07
Uncertainty quantification  Anomalous transport  Quasi Monte Carlo simulation  Generalized polynomial chaos  Long-time integration  Poly-fractonomials  
Energy-preserving fully-discrete schemes for nonlinear stochastic wave equations with multiplicative noise 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 451, 页码: 20
作者:  Hong, Jialin;  Hou, Baohui;  Sun, Liying
收藏  |  浏览/下载：136/0  |  提交时间：2022/04/29
Compact finite difference method  Interior penalty discontinuous Galerkin finite element method  Pade approximation  Averaged energy evolution law  Stochastic wave equation  Multiplicative noise  
A high-order three-scale reduced homogenization for nonlinear heterogeneous materials with multiple configurations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2021, 卷号: 425, 页码: 25
作者:  Yang, Zhiqiang;  Sun, Yi;  Cui, Junzhi;  Ma, Qiang
收藏  |  浏览/下载：143/0  |  提交时间：2021/04/26
HTRH algorithms  Reduced order homogenization  Micro-meso-macro formulations  Multiple configurations  
A dynamic-solver-consistent minimum action method: With an application to 2D Navier-Stokes equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 卷号: 331, 页码: 209-226
作者:  Wan, Xiaoliang;  Yu, Haijun
收藏  |  浏览/下载：97/0  |  提交时间：2018/07/30
Minimum action method  Rare events  White noise  Colored noise  Finite element method  Numerical adaptivity  
Discontinuous Galerkin methods for Hamiltonian ODEs and PDEs 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 卷号: 330, 页码: 340-364
作者:  Tang, Wensheng;  Sun, Yajuan;  Cai, Wenjun
收藏  |  浏览/下载：103/0  |  提交时间：2018/07/30
Discontinuous Galerkin method  Hamiltonian systems  Continuous-stage PRK method  Symplectic PRK scheme  Multi-symplectic PRK scheme  Conservation laws  
Poisson-Nernst-Planck equations for simulating biomolecular diffusion-reaction processes I: Finite element solutions 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2010, 卷号: 229, 期号: 19, 页码: 6979-6994
作者:  Lu, Benzhuo;  Holst, Michael J.;  McCammon, J. Andrew;  Zhou, Y. C.
收藏  |  浏览/下载：132/0  |  提交时间：2018/07/30
Electrodiffusion  Poisson-Nernst-Planck equations  Finite element  Singular charges  Molecular surface  Boundary condition  Conditioning  
Symplectic wavelet collocation method for Hamiltonian wave equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2010, 卷号: 229, 期号: 7, 页码: 2550-2572
作者:  Zhu, Huajun;  Tang, Lingyan;  Song, Songhe;  Tang, Yifa;  Wang, Desheng
收藏  |  浏览/下载：107/0  |  提交时间：2018/07/30
Wavelet collocation  Symplectic scheme  Hamiltonian system  
Numerical computations for long-wave short-wave interaction equations in semi-classical limit 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2008, 卷号: 227, 期号: 19, 页码: 8489-8507
作者:  Chang, Qianshun;  Wong, Yau-Shu;  Lin, Chi-Kun
收藏  |  浏览/下载：107/0  |  提交时间：2018/07/30
numerical methods  finite-difference schemes  long-wave short-wave interaction equations  semi-classical limit  
Multi-symplectic Runge-Kutta-Nystrom methods for nonlinear Schrodinger equations with variable coefficients 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2007, 卷号: 226, 期号: 2, 页码: 1968-1984
作者:  Hong, Jialin;  Liu, Xiao-yan;  Li, Chun
收藏  |  浏览/下载：86/0  |  提交时间：2018/07/30
Nonlinear Schrodinger equations  multi-symplectic conservation law  Runge-Kutta-Nystrom methods  charge conservation law