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Highly Efficient Numerical Integrator for the Circular Restricted Three-Body Problem 期刊论文
SYMMETRY-BASEL, 2022, 卷号: 14, 期号: 9, 页码: 9
作者:  Tu, Xiongbiao;  Wang, Qiao;  Tang, Yifa
收藏  |  浏览/下载：50/0  |  提交时间：2023/02/07
high efficiency  symplectic  restricted three-body  
Large Deviations Principles for Symplectic Discretizations of Stochastic Linear Schrodinger Equation 期刊论文
POTENTIAL ANALYSIS, 2022, 页码: 41
作者:  Chen, Chuchu;  Hong, Jialin;  Jin, Diancong;  Sun, Liying
收藏  |  浏览/下载：123/0  |  提交时间：2022/04/29
Large deviations principle  Symplectic discretizations  Stochastic Schrodinger equation  Rate function  Exponential tightness  
Symmetric-Adjoint and Symplectic-Adjoint Runge-Kutta Methods and Their Applications 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2022, 页码: 32
作者:  Sun, Geng;  Gan, Siqing;  Liu, Hongyu;  Shang, Zaijiu
收藏  |  浏览/下载：139/0  |  提交时间：2022/04/02
Key words  Runge-Kutta method  symmetric  symplectic  adjoint  high-order  explicit method  
Structure-Preserving Numerical Methods for Stochastic Poisson Systems 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2021, 卷号: 29, 期号: 3, 页码: 802-830
作者:  Hong, Jialin;  Ruan, Jialin;  Sun, Liying;  Wang, Lijin
收藏  |  浏览/下载：127/0  |  提交时间：2021/04/26
Stochastic Poisson systems  Poisson structure  Casimir functions  Poisson integrators  symplectic integrators  generating functions  stochastic rigid body system  
ASYMPTOTICALLY-PRESERVING LARGE DEVIATIONS PRINCIPLES BY STOCHASTIC SYMPLECTIC METHODS FOR A LINEAR STOCHASTIC OSCILLATOR 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021, 卷号: 59, 期号: 1, 页码: 32-59
作者:  Chen, Chuchu;  Hong, Jialing;  Jin, Diancong;  Sun, Liying
收藏  |  浏览/下载：149/0  |  提交时间：2021/04/26
stochastic symplectic methods  superiority  large deviations principle  rate function  asymptotical preservation  
SYMPLECTIC DISCONTINUOUS GALERKIN FULL DISCRETIZATION FOR STOCHASTIC MAXWELL EQUATIONS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021, 卷号: 59, 期号: 4, 页码: 2197-2217
作者:  Chen, Chuchu
收藏  |  浏览/下载：105/0  |  提交时间：2022/04/02
stochastic Maxwell equations  symplectic dG full discretization  mean-square convergence  
SympNets: Intrinsic structure-preserving symplectic networks for identifying Hamiltonian systems 期刊论文
NEURAL NETWORKS, 2020, 卷号: 132, 页码: 166-179
作者:  Jin, Pengzhan;  Zhang, Zhen;  Zhu, Aiqing;  Tang, Yifa;  Karniadakis, George Em
收藏  |  浏览/下载：143/0  |  提交时间：2021/04/26
Deep learning  Physics-informed  Dynamical systems  Hamiltonian systems  Symplectic maps  Symplectic integrators  
Energy and quadratic invariants preserving (EQUIP) multi-symplectic methods for Hamiltonian wave equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 卷号: 418, 页码: 18
作者:  Chen, Chuchu;  Hong, Jialin;  Sim, Chol;  Sonwu, Kwang
收藏  |  浏览/下载：168/0  |  提交时间：2020/10/12
Hamiltonian wave equations  Energy preservation  EQUIP multi-symplectic methods  
Projective oscillator representations of sl (n+1 vertical bar m) and osp(m vertical bar n+1) 期刊论文
COMMUNICATIONS IN ALGEBRA, 2020, 页码: 27
作者:  Chen, Ling;  Xu, Xiaoping
收藏  |  浏览/下载：144/0  |  提交时间：2021/01/14
Irreducible module  ortho-symplectic Lie superalgebra  oscillator representation  special linear Lie superalgebra  supersymmetric exponential-polynomial function  supersymmetric polynomial algebra  
UNIT TRIANGULAR FACTORIZATION OF THE MATRIX SYMPLECTIC GROUP 期刊论文
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2020, 卷号: 41, 期号: 4, 页码: 1630-1650
作者:  Jin, Pengzhan;  Tang, Yifa;  Zhu, Aiqing
收藏  |  浏览/下载：116/0  |  提交时间：2021/04/26
symplectic  symplectic matrix  triangular factorization  positive definite  singular symplectic matrix  generators  parameterization  unconstrained parametrization