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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：65/0  |  提交时间：2023/02/07
Coupled wave equations  Uniform exponential stability  Order reduction finite -difference method  
Fixing the Residual Flattening of an Upwind Compact Scheme for Steady Incompressible Flows in Enclosed Domains 期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2021, 卷号: 11, 期号: 4, 页码: 708-731
作者:  Wang, Yunchu;  Yuan, Li
收藏  |  浏览/下载：104/0  |  提交时间：2022/04/02
Incompressible Navier-Stokes equations  artificial compressibility  upwind compact difference  convergence  enclosed domain  
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：193/0  |  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  
Fast matrix splitting preconditioners for higher dimensional spatial fractional diffusion equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 卷号: 404, 页码: 13
作者:  Bai, Zhong-Zhi;  Lu, Kang-Ya
收藏  |  浏览/下载：151/0  |  提交时间：2020/05/24
Spatial fractional diffusion equations  Shifted finite-difference discretization  Block Toeplitz-like matrix  Block circulant-like matrix  Preconditioning  Eigenvalue distribution  
Nevanlinna theory of the Askey-Wilson divided difference operator 期刊论文
ADVANCES IN MATHEMATICS, 2018, 卷号: 329, 页码: 217-272
作者:  Chiang, Yik-Man;  Feng, Shaoji
收藏  |  浏览/下载：156/0  |  提交时间：2018/07/30
Nevanlinna theory  Askey-Wilson operator  Deficiency  Difference equations  
Analysis on the stability of numerical schemes for a class of stochastic partial differential systems 期刊论文
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2018, 卷号: 95, 期号: 2, 页码: 316-328
作者:  Cong, Xin-rong;  Li, Long-suo
收藏  |  浏览/下载：153/0  |  提交时间：2018/07/30
Stochastic partial differential equations  compact finite difference method  random noise  
A Full Multigrid Method for Distributed Control Problems Constrained by Stokes Equations 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2017, 卷号: 10, 期号: 3, 页码: 639-655
作者:  Butt, M. M.;  Yuan, Y.
收藏  |  浏览/下载：110/0  |  提交时间：2018/07/30
PDE-constrained optimization  stokes equations  multigrid  staggered grids  finite difference  
On the Growth of Logarithmic Difference of Meromorphic Functions and a Wiman-Valiron Estimate 期刊论文
CONSTRUCTIVE APPROXIMATION, 2016, 卷号: 44, 期号: 3, 页码: 313-326
作者:  Chiang, Yik-Man;  Feng, Shaoji
收藏  |  浏览/下载：88/0  |  提交时间：2018/07/30
Difference Wiman-Valiron estimates  Finite order meromorphic functions  Linear difference equations  
Stability and superconvergence analysis of the FDTD scheme for the 2D Maxwell equations in a lossy medium 期刊论文
SCIENCE CHINA-MATHEMATICS, 2011, 卷号: 54, 期号: 12, 页码: 2693-2712
作者:  Gao LiPing;  Zhang Bo
收藏  |  浏览/下载：138/0  |  提交时间：2018/07/30
Maxwell equations  finite-difference time-domain method  stability  superconvergence  perfectly electric conducting boundary conditions  energy identities  
The Grunwald-Letnikov method for fractional differential equations 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 卷号: 62, 期号: 3, 页码: 902-917
作者:  Scherer, Rudolf;  Kalla, Shyam L.;  Tang, Yifa;  Huang, Jianfei
收藏  |  浏览/下载：134/0  |  提交时间：2018/07/30
Fractional derivatives  Fractional differential equations  Grunwald-Letnikov approximation  Difference methods  Binomial coefficients  Stability