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A novel hybrid IGA-EIEQ numerical method for the Allen-Cahn/Cahn-Hilliard equations on complex curved surfaces 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2023, 卷号: 404, 页码: 21
Authors:  Pan, Qing;  Chen, Chong;  Zhang, Yongjie Jessica;  Yang, Xiaofeng
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Loop subdivision  IGA-EIEQ  Decoupled  Unconditional energy stability  Allen-Cahn  Cahn-Hilliard  
Design of boundary pulse width modulation controller for a class of heat equations 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2023, 卷号: 437, 页码: 16
Authors:  Zong, Xiju;  Zhang, Ji-Feng;  Zheng, Jiangtao;  Liu, Zengxin;  Ma, Guoyao
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Heat equation  Boundary PWM control  Multi-agent systems  Synchronization control  
Parallel multi-stage preconditioners with adaptive setup for the black oil model 期刊论文
COMPUTERS & GEOSCIENCES, 2022, 卷号: 168, 页码: 16
Authors:  Zhao, Li;  Feng, Chunsheng;  Zhang, Chen-Song;  Shu, Shi
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Black oil model  Fully implicit method  Parallel computing  Multi-color Gauss-Seidel smoother  Multi-stage preconditioners  
Boundary Stability Criterion for a Nonlinear Axially Moving Beam 期刊论文
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2022, 卷号: 67, 期号: 11, 页码: 5714-5729
Authors:  Cheng, Yi;  Wu, Yuhu;  Guo, Bao-Zhu
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Mathematical models  Stability criteria  Structural beams  Vibrations  Strain  Numerical stability  Feedback control  Absolute stabilization  axially moving beam  boundary control  exponential stability  
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
Authors:  Zhang, Wensheng;  Joardar, Atish Kumar
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Stability  poroelastic wave equation  energy method  high-order scheme  wave simulation  
Error estimates of H(div)-conforming method for nonstationary magnetohydrodynamic system 期刊论文
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2022, 卷号: 48, 期号: 5, 页码: 23
Authors:  Ding, Qianqian;  Mao, Shipeng;  Sun, Jiaao
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Magnetohydrodynamics  Finite element method  H(div)-conforming element  Error analysis  Pressure-robust  
Optimal Control in a Bounded Domain for Wave Propagating in the Whole Space: Coupling Through Boundary Integral Equations 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2022, 卷号: 92, 期号: 3, 页码: 52
Authors:  Gong, Wei;  Li, Buyang;  Yang, Huanhuan
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Wave equation  Unbounded domain  Boundary integral equation  Well-posedness  Convolution quadrature  Stability  Convergence  Error estimate  
Local error estimate of L1 scheme for linearized time fractional KdV equation with weakly singular solutions 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2022, 卷号: 179, 页码: 183-190
Authors:  Chen, Hu;  Chen, Mengyi;  Sun, Tao;  Tang, Yifa
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L1 scheme  Time-fractional KdV equation  Local error estimate  Weakly singular solution  
PT-symmetric peakon solutions in self-focusing/defocusing power-law nonlinear media: Stability, interactions and adiabatic excitations 期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2022, 卷号: 435, 页码: 14
Authors:  Song, Jin;  Zhou, Zijian;  Weng, Weifang;  Yan, Zhenya
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Generalized nonlinear Schrodinger  equation  Stable peakon solution  Interactions  Adiabatic excitations  PT-symmetric 8(x)-csch potential  
A class of finite element methods with averaging techniques for solving the three-dimensional drift-diffusion model in semiconductor device simulations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 458, 页码: 24
Authors:  Zhang, Qianru;  Wang, Qin;  Zhang, Linbo;  Lu, Benzhuo
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Three-dimensional drift -diffusion model  Averaging technique  Finite element method  Semiconductor device