中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
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CAS IR Grid
机构
数学与系统科学研究院 [9]
采集方式
OAI收割 [9]
内容类型
期刊论文 [9]
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2021 [1]
2020 [1]
2019 [1]
2018 [1]
2017 [1]
2009 [2]
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Structure-Preserving Numerical Methods for Stochastic Poisson Systems
期刊论文
OAI收割
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:27/0
  |  
提交时间:2021/04/26
Stochastic Poisson systems
Poisson structure
Casimir functions
Poisson integrators
symplectic integrators
generating functions
stochastic rigid body system
SympNets: Intrinsic structure-preserving symplectic networks for identifying Hamiltonian systems
期刊论文
OAI收割
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:27/0
  |  
提交时间:2021/04/26
Deep learning
Physics-informed
Dynamical systems
Hamiltonian systems
Symplectic maps
Symplectic integrators
High order symplectic integrators based on continuous-stage Runge-Kutta-Nystrom methods
期刊论文
OAI收割
APPLIED MATHEMATICS AND COMPUTATION, 2019, 卷号: 361, 页码: 670-679
作者:
Tang, Wensheng
;
Sun, Yajuan
;
Zhang, Jingjing
  |  
收藏
  |  
浏览/下载:74/0
  |  
提交时间:2020/01/10
Continuous-stage Runge-Kutta-Nystrom methods
Hamiltonian systems
Symplectic integrators
Legendre polynomial expansion
Simplifying assumptions
Numerical invariant tori of symplectic integrators for integrable Hamiltonian systems
期刊论文
OAI收割
SCIENCE CHINA-MATHEMATICS, 2018, 卷号: 61, 期号: 9, 页码: 1567-1588
作者:
Ding, Zhaodong
;
Shang, Zaijiu
  |  
收藏
  |  
浏览/下载:23/0
  |  
提交时间:2018/10/07
Hamiltonian systems
symplectic integrators
KAM theory
invariant tori
twist symplectic mappings
Russmann's non-degeneracy
Stochastic symplectic Runge-Kutta methods for the strong approximation of Hamiltonian systems with additive noise
期刊论文
OAI收割
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2017, 卷号: 325, 页码: 134-148
作者:
Zhou, Weien
;
Zhang, Jingjing
;
Hong, Jialin
;
Song, Songhe
  |  
收藏
  |  
浏览/下载:16/0
  |  
提交时间:2018/07/30
Stochastic differential equations
Stochastic Runge-Kutta methods
Symplectic integrators
Mean-square convergence
Linearization-preserving self-adjoint and symplectic integrators
期刊论文
OAI收割
BIT NUMERICAL MATHEMATICS, 2009, 卷号: 49, 期号: 1, 页码: 177-197
作者:
  |  
收藏
  |  
浏览/下载:19/0
  |  
提交时间:2018/07/30
Hamiltonian systems
Linearization-preserving methods
Symplectic integrators
DYNAMICS AND VARIATIONAL INTEGRATORS OF STOCHASTIC HAMILTONIAN SYSTEMS
期刊论文
OAI收割
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2009, 卷号: 6, 期号: 4, 页码: 586-602
作者:
Wang, Lijin
;
Hong, Jialin
;
Scherer, Rudolf
;
Bai, Fengshan
  |  
收藏
  |  
浏览/下载:15/0
  |  
提交时间:2018/07/30
Hamilton's principle
stochastic Hamiltonian systems
symplectic methods
variational integrators
On multisymplectic integrators based on Runge-Kutta-Nystrom methods for Hamiltonian wave equations
期刊论文
OAI收割
APPLIED MATHEMATICS AND COMPUTATION, 2006, 卷号: 182, 期号: 2, 页码: 1056-1063
作者:
Li, Qinghong
;
Sun, Yajuan
;
Wang, Yushun
  |  
收藏
  |  
浏览/下载:17/0
  |  
提交时间:2018/07/30
Hamiltonian wave equations
multisymplectic integrators
symplectic Runge-Kutta-Nystrom methods
energy and momentum conservation laws
Globally conservative properties and error estimation of a multi-symplectic scheme for Schrodinger equations with variable coefficients
期刊论文
OAI收割
APPLIED NUMERICAL MATHEMATICS, 2006, 卷号: 56, 期号: 6, 页码: 814-843
作者:
Hong, JL
;
Liu, Y
;
Munthe-Kaas, H
;
Zanna, A
  |  
收藏
  |  
浏览/下载:14/0
  |  
提交时间:2018/07/30
Schrodinger equations
conservation laws
error estimation
global energy transit
multi-symplectic integrators