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A high-order modified finite-volume method on Cartesian grids for nonlinear convection-diffusion problems 期刊论文
COMPUTATIONAL & APPLIED MATHEMATICS, 2020, 卷号: 39, 期号: 3, 页码: 20
作者:  Du, Yulong;  Wang, Yahui;  Yuan, Li
收藏  |  浏览/下载：160/0  |  提交时间：2020/09/23
Finite-volume method  High-order accuracy  Dimension-by-dimension reconstruction  Cartesian grid  Nonlinear convection-diffusion equation  65M08  65M12  65M20  
A novel semi-discrete scheme preserving uniformly exponential stability for an Euler-Bernoulli beam 期刊论文
SYSTEMS & CONTROL LETTERS, 2019, 卷号: 134, 页码: 10
作者:  Liu, Jiankang;  Guo, Bao-Zhu
收藏  |  浏览/下载：134/0  |  提交时间：2020/05/24
Beam equation  Finite volume method  Finite difference method  Exponential stability  Uniform approximation  
A High-Order Modified Finite Volume WENO Method on 3D Cartesian Grids 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2019, 卷号: 26, 期号: 3, 页码: 768-784
作者:  Du, Yulong;  Yuan, Li;  Wang, Yahui
收藏  |  浏览/下载：181/0  |  提交时间：2020/01/10
Finite volume method  high-order accuracy  dimension-by-dimension reconstruction  Cartesian grid  
A monotone finite volume method for time fractional Fokker-Planck equations 期刊论文
SCIENCE CHINA-MATHEMATICS, 2019, 卷号: 62, 期号: 4, 页码: 783-794
作者:  Jiang, Yingjun;  Xu, Xuejun
收藏  |  浏览/下载：148/0  |  提交时间：2020/01/10
time fractional Fokker-Planck equations  finite volume methods  monotone convergence  
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：165/0  |  提交时间：2019/04/02
Shallow water equations  Local time-stepping  Strong stability preserving Runge-Kutta  Finite volume  Mass conservation  Potential vorticity  
Well-balanced discontinuous Galerkin method and finite volume WENO scheme based on hydrostatic reconstruction for blood flow model in arteries 期刊论文
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2018, 卷号: 86, 期号: 7, 页码: 491-508
作者:  Li, Gang;  Delestre, Olivier;  Yuan, Li
收藏  |  浏览/下载：148/0  |  提交时间：2018/07/30
blood flow model  discontinuous Galerkin method  finite volume WENO scheme  hydrostatic reconstruction  source term  well-balanced property  
A new high-order finite volume method for 3D elastic wave simulation on unstructured meshes 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 卷号: 340, 页码: 534-555
作者:  Zhang, Wensheng;  Zhuang, Yuan;  Zhang, Lina
收藏  |  浏览/下载：111/0  |  提交时间：2018/07/30
3D  Elastic wave equation  High-order  Finite volume method  Unstructured tetrahedral mesh  Wave propagation  
Robust a Posteriori Error Estimates for Conforming Discretizations of Diffusion Problems with Discontinuous Coefficients on Anisotropic Meshes 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2015, 卷号: 64, 期号: 2, 页码: 368-400
作者:  Zhao, Jikun;  Chen, Shaochun;  Zhang, Bei;  Mao, Shipeng
收藏  |  浏览/下载：123/0  |  提交时间：2018/07/30
A posteriori error estimates  Anisotropic meshes  Finite volume method  Finite difference method  Finite element method  Discontinuous coefficients  
A Speed-Up Strategy for Finite Volume WENO Schemes for Hyperbolic Conservation Laws 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2011, 卷号: 46, 期号: 3, 页码: 359-378
作者:  Teng, Fei;  Yuan, Li;  Tang, Tao
收藏  |  浏览/下载：114/0  |  提交时间：2018/07/30
Conservation law  Finite volume WENO method  Speed-up strategy  Multi-dimension  
FINITE VOLUME DISCRETIZATIONS FOR EIGENVALUE PROBLEMS WITH APPLICATIONS TO ELECTRONIC STRUCTURE CALCULATIONS 期刊论文
MULTISCALE MODELING & SIMULATION, 2011, 卷号: 9, 期号: 1, 页码: 208-240
作者:  Dai, Xiaoying;  Gong, Xingao;  Yang, Zhang;  Zhang, Dier;  Zhou, Aihui
收藏  |  浏览/下载：93/0  |  提交时间：2018/07/30
eigenvalue  electronic structure  finite element  finite volume  high order  symmetric