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A finite element method for Allen-Cahn equation on deforming surface 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2021, 卷号: 90, 页码: 148-158
作者:  Olshanskii, Maxim;  Xu, Xianmin;  Yushutin, Vladimir
收藏  |  浏览/下载:118/0  |  提交时间:2021/10/26
Allen-Cahn  Surface PDEs  Evolving surfaces  Trace FEM  Geodesic mean curvature flow  
Anisotropic linear triangle finite element approximation for multi-term time-fractional mixed diffusion and diffusion-wave equations with variable coefficient on 2D bounded domain 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 卷号: 78, 期号: 5, 页码: 1705-1719
作者:  Zhao, Yanmin;  Wang, Fenling;  Hu, Xiaohan;  Shi, Zhengguang;  Tang, Yifa
收藏  |  浏览/下载:182/0  |  提交时间:2020/01/10
Multi-term time-fractional mixed diffusion-wave equations  Linear triangle finite element  L1 time-stepping method  Crank-Nicolson scheme  Unconditional stability  Convergence and superconvergence  
A novel high-order approximate scheme for two-dimensional time-fractional diffusion equations with variable coefficient 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 卷号: 78, 期号: 5, 页码: 1288-1301
作者:  Wang, Fenling;  Zhao, Yanmin;  Chen, Chen;  Wei, Yabing;  Tang, Yifa
收藏  |  浏览/下载:178/0  |  提交时间:2020/01/10
Time-fractional diffusion equations  Variable coefficient  Quasi-Wilson nonconforming anisotropic finite element  L2-1(sigma) formula  Stability  Superclose and superconvergence  
Convergence and superconvergence of a fully-discrete scheme for multi-term time fractional diffusion equations 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 卷号: 73, 期号: 6, 页码: 1087-1099
作者:  Zhao, Yanmin;  Zhang, Yadong;  Liu, F.;  Turner, I.;  Tang, Yifa;  Anh, V.
收藏  |  浏览/下载:120/0  |  提交时间:2018/07/30
Multi-term time-fractional diffusion equation  Finite element method  L1 approximation  Stability Convergence and superconvergence  
Finite element approximation of optimal control problems governed by time fractional diffusion equation 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2016, 卷号: 71, 期号: 1, 页码: 301-318
作者:  Zhou, Zhaojie;  Gong, Wei
收藏  |  浏览/下载:133/0  |  提交时间:2018/07/30
Galerkin finite element method  Optimal control problems  Time fractional diffusion equations  A priori error estimate  Variational discretization  
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:137/0  |  提交时间:2018/07/30
Fractional derivatives  Fractional differential equations  Grunwald-Letnikov approximation  Difference methods  Binomial coefficients  Stability  
High-order compact splitting multisymplectic method for the coupled nonlinear Schrodinger equations 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 卷号: 61, 期号: 2, 页码: 319-333
作者:  Ma, Yuanping;  Kong, Linghua;  Hong, Jialin;  Cao, Ying
收藏  |  浏览/下载:97/0  |  提交时间:2018/07/30
High-order compact  Coupled nonlinear Schrodinger equation  Splitting multisymplectic integrator  Conservation law  
Stability of theta-methods for advanced differential equations with piecewise continuous arguments 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 卷号: 49, 期号: 9-10, 页码: 1295-1301
作者:  Song, MH;  Yang, ZW;  Liu, MZ
收藏  |  浏览/下载:84/0  |  提交时间:2018/07/30
delay differential equations  piecewise continuous arguments  asymptotic stability  
Basis property and stabilization of a translating tensioned beam through a pointwise control force 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2004, 卷号: 47, 期号: 8-9, 页码: 1397-1409
作者:  Guo, BZ;  Xie, Y
收藏  |  浏览/下载:77/0  |  提交时间:2018/07/30
beam equation  Riesz basis  stability  
Stability analysis of numerical methods for systems of functional-differential and functional equations 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2002, 卷号: 44, 期号: 5-6, 页码: 717-729
作者:  Huang, CM;  Chang, QS
收藏  |  浏览/下载:74/0  |  提交时间:2018/07/30
hybrid systems  functional-differential equations  functional equations  linear multistep methods  one-leg methods  Runge-Kutta methods  numerical stability