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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  
Entropy generation approach with heat and mass transfer in magnetohydrodynamic stagnation point flow of a tangent hyperbolic nanofluid 期刊论文
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2021, 卷号: 42, 期号: 8, 页码: 1205-1218
Authors:  Zhao, Tiehong;  Khan, M. R.;  Chu, Yuming;  Issakhov, A.;  Ali, R.;  Khan, S.
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tangent hyperbolic fluid  magnetohydrodynamic (MHD)  viscous dissipation  stagnation point flow  heat generation  absorption  thermal radiation  O361  76Dxx  80Axx  65Nxx  
Data-driven rogue waves and parameter discovery in the defocusing nonlinear Schrodinger equation with a potential using the PINN deep learning 期刊论文
PHYSICS LETTERS A, 2021, 卷号: 404, 页码: 7
Authors:  Wang, Li;  Yan, Zhenya
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Defocusing NLS equation with the  time-dependent potential  Initial-boundary value conditions  Physics-informed neural networks  Deep learning  Data-driven rogue waves and parameter discovery  
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  
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  
Delayed blow-up by transport noise 期刊论文
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2021, 页码: 32
Authors:  Flandoli, Franco;  Galeati, Lucio;  Luo, Dejun
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Dissipation enhancement  Fisher–  KPP equation  Keller–  Segel equation  Kuramoto–  Sivashinsky equation  scaling limit  transport noise  
A superlinear convergence scheme for the multi-term and distribution-order fractional wave equation with initial singularity 期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2021, 页码: 16
Authors:  Huang, Jianfei;  Zhang, Jingna;  Arshad, Sadia;  Tang, Yifa
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distribution-order derivative  fractional wave equations  initial singularity  multi-term fractional derivatives  superlinear convergence  
Some interior regularity estimates for solutions of complex Monge-Ampere equations on a ball 期刊论文
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2021, 卷号: 60, 期号: 1, 页码: 17
Authors:  Li, Chao;  Li, Jiayu;  Zhang, Xi
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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
Authors:  Huang, Jianfei;  Zhang, Jingna;  Arshad, Sadia;  Tang, Yifa
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Multi-term time-space derivatives  Fractional nonlinear diffusion-wave equations  Finite difference schemes  Stability  Convergence  Fast ADI scheme  
A numerical approach to Kolmogorov equation in high dimension based on Gaussian analysis 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 卷号: 493, 期号: 1, 页码: 29
Authors:  Flandoli, Franco;  Luo, Dejun;  Ricci, Cristiano
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Kolmogorov equation  Numerical solution  Iteration schema  Gaussian process