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Hamiltonian Particle-in-Cell methods for Vlasov-Poisson equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 467, 页码: 20
Authors:  Gu, Anjiao;  He, Yang;  Sun, Yajuan
Favorite  |  View/Download：17/0  |  Submit date：2023/02/07
Vlasov-Poisson system  Poisson bracket  Finite element method  Structure-preserving algorithm  Hamiltonian splitting method  
Influence of numerical discretizations on hitting probabilities for linear stochastic parabolic systems 期刊论文
JOURNAL OF COMPLEXITY, 2022, 卷号: 70, 页码: 29
Authors:  Chen, Chuchu;  Hong, Jialin;  Sheng, Derui
Favorite  |  View/Download：74/0  |  Submit date：2022/04/29
Hitting probability  Numerical discretization  Stochastic parabolic system  Critical dimension  
Large Deviations Principles for Symplectic Discretizations of Stochastic Linear Schrodinger Equation 期刊论文
POTENTIAL ANALYSIS, 2022, 页码: 41
Authors:  Chen, Chuchu;  Hong, Jialin;  Jin, Diancong;  Sun, Liying
Favorite  |  View/Download：84/0  |  Submit date：2022/04/29
Large deviations principle  Symplectic discretizations  Stochastic Schrodinger equation  Rate function  Exponential tightness  
ANALYSIS AND APPROXIMATIONS OF DIRICHLET BOUNDARY CONTROL OF STOKES FLOWS IN THE ENERGY SPACE 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2022, 卷号: 60, 期号: 1, 页码: 450-474
Authors:  Gong, Wei;  Mateos, Mariano;  Singler, John;  Zhang, Yangwen
Favorite  |  View/Download：75/0  |  Submit date：2022/04/29
Dirichlet boundary control  Stokes flows  energy space  regularity  finite element method  error estimates  
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
Favorite  |  View/Download：131/0  |  Submit date：2021/06/01
Time-space fractional vibration equations  ADI scheme  stability  convergence  
Unconditionally positivity preserving and energy dissipative schemes for Poisson-Nernst-Planck equations 期刊论文
NUMERISCHE MATHEMATIK, 2021, 页码: 27
Authors:  Shen, Jie;  Xu, Jie
Favorite  |  View/Download：87/0  |  Submit date：2021/10/26
65M12  35K61  35K55  65Z05  70F99  
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
Favorite  |  View/Download：108/0  |  Submit date：2021/04/26
Fractional optimal control problem  Numerical discretizations  Block two-by-two linear system  Preconditioning  Spectral bounds  Krylov subspace iteration methods  Convergence property  
A linearized ADI scheme for two-dimensional time-space fractional nonlinear vibration equations 期刊论文
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2021, 页码: 15
Authors:  Zhang, Jingna;  Huang, Jianfei;  Aleroev, Temirkhan S.;  Tang, Yifa
Favorite  |  View/Download：106/0  |  Submit date：2021/04/26
Time-space fractional nonlinear vibration equations  two dimensions  linearized ADI scheme  stability  convergence  
Absolute continuity and numerical approximation of stochastic Cahn-Hilliard equation with unbounded noise diffusion 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 卷号: 269, 期号: 11, 页码: 10143-10180
Authors:  Cui, Jianbo;  Hong, Jialin
Favorite  |  View/Download：84/0  |  Submit date：2021/01/14
Stochastic Cahn-Hilliard equation  Unbounded noise diffusion  Malliavin calculus  Numerical approximation  Strong convergence rate  
Drift-preserving numerical integrators for stochastic Hamiltonian systems 期刊论文
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2020, 卷号: 46, 期号: 2, 页码: 22
Authors:  Chen, Chuchu;  Cohen, David;  D'Ambrosio, Raffaele;  Lang, Annika
Favorite  |  View/Download：110/0  |  Submit date：2020/05/24
Stochastic differential equations  Stochastic Hamiltonian systems  Energy  Trace formula  Numerical schemes  Strong convergence  Weak convergence  Multilevel Monte Carlo