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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  
Spectrally accurate space-time solution of Manakov systems 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2020, 卷号: 377, 页码: 20
作者:  Barletti, Luigi;  Brugnano, Luigi;  Tang, Yifa;  Zhu, Beibei
收藏  |  浏览/下载:145/0  |  提交时间:2020/06/30
Hamiltonian PDEs  Manakov system  Energy-conserving methods  Hamiltonian Boundary Value Methods  HBVMs  Spectral methods  
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:169/0  |  提交时间:2020/10/12
Hamiltonian wave equations  Energy preservation  EQUIP multi-symplectic methods  
Towards mesoscopic ergodic theory 期刊论文
SCIENCE CHINA-MATHEMATICS, 2020, 页码: 24
作者:  Qi, Weiwei;  Shen, Zhongwei;  Wang, Shirou;  Yi, Yingfei
收藏  |  浏览/下载:112/0  |  提交时间:2020/09/23
ergodic theory  stochastic differential equation  Fokker-Planck equation  stationary measure  physical measure  mesoscopic limit  
Measurement-induced Boolean dynamics and controllability for closed quantum networks 期刊论文
AUTOMATICA, 2020, 卷号: 114, 页码: 11
作者:  Qi, Hongsheng;  Mu, Biqiang;  Petersen, Ian R.;  Shi, Guodong
收藏  |  浏览/下载:134/0  |  提交时间:2020/05/24
Quantum networks  Quantum measurements  Bilinear systems  Boolean networks  
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
作者:  Chen, Chuchu;  Cohen, David;  D'Ambrosio, Raffaele;  Lang, Annika
收藏  |  浏览/下载:154/0  |  提交时间:2020/05/24
Stochastic differential equations  Stochastic Hamiltonian systems  Energy  Trace formula  Numerical schemes  Strong convergence  Weak convergence  Multilevel Monte Carlo  
Numerical simulations of one laser-plasma model based on Poisson structure 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 卷号: 405, 页码: 20
作者:  Li, Yingzhe;  Sun, Yajuan;  Crouseilles, Nicolas
收藏  |  浏览/下载:153/0  |  提交时间:2020/05/24
Laser-plasma interaction  Vlasov-Maxwell system  Poisson bracket  Hamiltonian splitting  Conservative splitting  
Global behaviors of weak KAM solutions for exact symplectic twist maps 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 卷号: 269, 期号: 7, 页码: 5730-5753
作者:  Zhang, Jianlu
收藏  |  浏览/下载:148/0  |  提交时间:2020/09/23
Exact syplectic twist map  Aubry Mather theory  Hamilton Jacobi equation  Generalized characteristics  Weak KAM solution  Transition chain  
Energy conditional measures and 2D turbulence 期刊论文
JOURNAL OF MATHEMATICAL PHYSICS, 2020, 卷号: 61, 期号: 1, 页码: 22
作者:  Flandoli, Franco;  Luo, Dejun
收藏  |  浏览/下载:154/0  |  提交时间:2020/05/24