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An optimal piecewise cubic nonconforming finite element scheme for the planar biharmonic equation on general triangulations 期刊论文
SCIENCE CHINA-MATHEMATICS, 2021, 页码: 24
Authors:  Zhang, Shuo
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biharmonic equation  optimal cubic finite element scheme  general triangulation  discretized Stokes complex  discrete strengthened Miranda-Talenti estimate  
The Asymptotic Behavior of Bootstrap Support Values in Molecular Phylogenetics 期刊论文
SYSTEMATIC BIOLOGY, 2021, 卷号: 70, 期号: 4, 页码: 774-785
Authors:  Huang, Jun;  Liu, Yuting;  Zhu, Tianqi;  Yang, Ziheng
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Bootstrap  model selection  star-tree paradox  support value  
A convergent low-wavenumber, high-frequency homogenization of the wave equation in periodic media with a source term 期刊论文
APPLICABLE ANALYSIS, 2021, 页码: 34
Authors:  Meng, Shixu;  Oudghiri-Idrissi, Othman;  Guzina, Bojan B.
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Waves in periodic media  dynamic homogenization  finite frequency  band gap  (Floquet-)Bloch transform  variational formulation  
On observability analysis and observer design for a class of nonlinear uncertain systems with general elastic vibration dynamics 期刊论文
ASIAN JOURNAL OF CONTROL, 2021, 页码: 12
Authors:  Zhang, Xiaoyan;  Xue, Wenchao;  Zhao, Yanlong
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active disturbance rejection control  general extended state observer  observability analysis  rigid-flexible coupling  uncertainty estimation  
Convergence of Viscosity Solutions of Generalized Contact Hamilton-Jacobi Equations 期刊论文
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2021, 页码: 18
Authors:  Wang, Ya-Nan;  Yan, Jun;  Zhang, Jianlu
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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
Authors:  Olshanskii, Maxim;  Xu, Xianmin;  Yushutin, Vladimir
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Allen-Cahn  Surface PDEs  Evolving surfaces  Trace FEM  Geodesic mean curvature flow  
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
Authors:  Bai, Zhong-Zhi;  Lu, Kang-Ya
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Fractional optimal control problem  Numerical discretizations  Block two-by-two linear system  Preconditioning  Spectral bounds  Krylov subspace iteration methods  Convergence property  
A "boundedness implies convergence" principle and its applications to collapsing estimates in Kahler geometry 期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2021, 卷号: 206, 页码: 21
Authors:  Jian, Wangjian;  Shi, Yalong
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Weak convergence and invariant measure of a full discretization for parabolic SPDEs with non-globally Lipschitz coefficients 期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2021, 卷号: 134, 页码: 55-93
Authors:  Cui, Jianbo;  Hong, Jialin;  Sun, Liying
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Weak convergence  Invariant measure  Kolmogorov equation  Malliavin calculus  
Optimal rate of convergence for two classes of schemes to stochastic differential equations driven by fractional Brownian motions 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2021, 卷号: 41, 期号: 2, 页码: 1608-1638
Authors:  Hong, Jialin;  Huang, Chuying;  Wang, Xu
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fractional Brownian motion  strong convergence rate  Runge-Kutta method  simplified step-N Euler scheme