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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
Authors:  Zhang, Jingna;  Aleroev, Temirkhan S.;  Tang, Yifa;  Huang, Jianfei
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Time-space fractional vibration equations  ADI scheme  stability  convergence  
Strain tensors on hyperbolic surfaces and their applications 期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2021, 卷号: 281, 期号: 1, 页码: 36
Authors:  Yao, Peng-Fei
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Keywords hyperbolic surface  Shell  Nonlinear elasticity  Riemannian geometry  
SECOND ORDER ESTIMATES FOR COMPLEX HESSIAN EQUATIONS ON HERMITIAN MANIFOLDS 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2021, 卷号: 41, 期号: 6, 页码: 2619-2633
Authors:  Dong, Weisong;  Li, Chang
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Complex Hessian equations  Second order estimates  Hermitian manifolds  
Collective stochastic dynamics of the Cucker-Smale ensemble under uncertain communication 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 284, 页码: 39-82
Authors:  Ha, Seung-Yeal;  Jung, Jinwook;  Rockner, Michael
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Cucker-Smale model  Emergence  Flocking  Random communication  Stochastic kinetic Cucker-Smale equation  
Spatial propagation in nonlocal dispersal Fisher-KPP equations 期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2021, 卷号: 280, 期号: 10, 页码: 35
Authors:  Xu, Wen-Bing;  Li, Wan-Tong;  Ruan, Shigui
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Nonlocal dispersal Fisher-KPP equation  Spatial propagation  Spreading speed  Asymmetric kernel  
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  
Numerical assessment of mixed convection flow of Walters-B nanofluid over a stretching surface with Newtonian heating and mass transfer 期刊论文
THERMAL SCIENCE AND ENGINEERING PROGRESS, 2021, 卷号: 22, 页码: 9
Authors:  Qaiser, Dania;  Zheng, Zhoushun;  Khan, Muhammad Riaz
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Walter-B nanofluid  Mixed convection  Chemical reaction  Thermal radiation  Brownian and thermophoresis motion  Suction  
Deep Nitsche Method: Deep Ritz Method with Essential Boundary Conditions 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2021, 卷号: 29, 期号: 5, 页码: 1365-1384
Authors:  Liao, Yulei;  Ming, Pingbing
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Deep Nitsche Method  Deep Ritz Method  neural network approximation  mixed boundary conditions  curse of dimensionality  
Unirational differential curves and differential rational parametrizations 期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2021, 卷号: 104, 页码: 539-562
Authors:  Fu, Lei;  Li, Wei
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Unirational differential curve  Proper differential rational parametrization  Differential resultants  Implicitization  
A New Exponential Compact Scheme for the Two-Dimensional Unsteady Nonlinear Burgers' and Navier-Stokes Equations in Polar Cylindrical Coordinates 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2021, 卷号: 14, 期号: 2, 页码: 488-507
Authors:  Mohanty, R. K.;  Yuan, Li;  Sharma, Divya
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Half-step discretization  compact scheme in exponential form  two-level implicit scheme  Burgers' equation  Navier-Stokes equations of motion  Taylor-vortex problem