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Direct numerical simulation of compressible turbulence accelerated by graphics processing unit: An open-source high accuracy accelerated computational fluid dynamic software 期刊论文
PHYSICS OF FLUIDS, 2022, 卷号: 34, 期号: 12, 页码: 20
作者:  Dang, Guanlin;  Liu, Shiwei;  Guo, Tongbiao;  Duan, Junyi;  Li, Xinliang
收藏  |  浏览/下载：54/0  |  提交时间：2023/02/07
Stability of High-Order Finite-Difference Schemes for Poroelastic Wave Simulation 期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2022, 卷号: 12, 期号: 4, 页码: 891-911
作者:  Zhang, Wensheng;  Joardar, Atish Kumar
收藏  |  浏览/下载：72/0  |  提交时间：2023/02/07
Stability  poroelastic wave equation  energy method  high-order scheme  wave simulation  
Uniform exponential stability of semi-discrete scheme for observer-based control of 1-D wave equation 期刊论文
SYSTEMS & CONTROL LETTERS, 2022, 卷号: 168, 页码: 12
作者:  Ren, Han-Jing;  Guo, Bao-Zhu
收藏  |  浏览/下载：69/0  |  提交时间：2023/02/07
Coupled wave equations  Uniform exponential stability  Order reduction finite -difference method  
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：138/0  |  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  
Order reduction-based uniform approximation of exponential stability for one-dimensional Schrodinger equation 期刊论文
SYSTEMS & CONTROL LETTERS, 2022, 卷号: 160, 页码: 9
作者:  Liu, Jiankang;  Hao, Ruiqi;  Guo, Bao-Zhu
收藏  |  浏览/下载：104/0  |  提交时间：2022/06/21
Schrodinger equation  Exponential stability  Uniform approximation  Order reduction method  
Numerical Schemes for Time-Space Fractional Vibration Equations 期刊论文
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2021, 卷号: 13, 期号: 4, 页码: 806-826
作者:  Zhang, Jingna;  Aleroev, Temirkhan S.;  Tang, Yifa;  Huang, Jianfei
收藏  |  浏览/下载：169/0  |  提交时间：2021/06/01
Time-space fractional vibration equations  ADI scheme  stability  convergence  
Optimal rotated block-diagonal preconditioning for discretized optimal control problems constrained with fractional time-dependent diffusive equations 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2021, 卷号: 163, 页码: 126-146
作者:  Bai, Zhong-Zhi;  Lu, Kang-Ya
收藏  |  浏览/下载：151/0  |  提交时间：2021/04/26
Fractional optimal control problem  Numerical discretizations  Block two-by-two linear system  Preconditioning  Spectral bounds  Krylov subspace iteration methods  Convergence property  
A numerical method for two-dimensional multi-term time-space fractional nonlinear diffusion-wave equations 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2021, 卷号: 159, 页码: 159-173
作者:  Huang, Jianfei;  Zhang, Jingna;  Arshad, Sadia;  Tang, Yifa
收藏  |  浏览/下载：196/0  |  提交时间：2021/01/14
Multi-term time-space derivatives  Fractional nonlinear diffusion-wave equations  Finite difference schemes  Stability  Convergence  Fast ADI scheme  
A low-dissipation third-order weighted essentially nonoscillatory scheme with a new reference smoothness indicator 期刊论文
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2020, 卷号: 92, 期号: 9, 页码: 1212-1234
作者:  Wang, Yahui;  Du, Yulong;  Zhao, Kunlei;  Yuan, Li
收藏  |  浏览/下载：140/0  |  提交时间：2020/09/23
Euler equation  hyperbolic conservation law  nonlinear weight  reference smoothness indicator  third-order accuracy  WENO  
A new 6th-order WENO scheme with modified stencils 期刊论文
COMPUTERS & FLUIDS, 2020, 卷号: 208, 页码: 16
作者:  Wang, Yahui;  Du, Yulong;  Zhao, Kunlei;  Yuan, Li
收藏  |  浏览/下载：125/0  |  提交时间：2020/11/18
WENO scheme  Sixth-order accuracy  Modified stencil  Hyperbolic conservation law