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中国科学院数学与系统科学研究院机构知识库
KMS Of Academy of mathematics and systems sciences, CAS
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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
Authors:
Hong, Jialin
;
Ruan, Jialin
;
Sun, Liying
;
Wang, Lijin
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View/Download:101/0
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Submit date: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
NEURAL NETWORKS, 2020, 卷号: 132, 页码: 166-179
Authors:
Jin, Pengzhan
;
Zhang, Zhen
;
Zhu, Aiqing
;
Tang, Yifa
;
Karniadakis, George Em
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View/Download:117/0
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Submit date:2021/04/26
Deep learning
Physics-informed
Dynamical systems
Hamiltonian systems
Symplectic maps
Symplectic integrators
New high order symplectic integrators via generating functions with its application in many-body problem
期刊论文
BIT NUMERICAL MATHEMATICS, 2019, 页码: 27
Authors:
Tu, Xiongbiao
;
Murua, Ander
;
Tang, Yifa
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View/Download:125/0
  |  
Submit date:2020/05/24
High order
Separable Hamiltonian
Quadratic
High order symplectic integrators based on continuous-stage Runge-Kutta-Nystrom methods
期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2019, 卷号: 361, 页码: 670-679
Authors:
Tang, Wensheng
;
Sun, Yajuan
;
Zhang, Jingjing
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View/Download:157/0
  |  
Submit date:2020/01/10
Continuous-stage Runge-Kutta-Nystrom methods
Hamiltonian systems
Symplectic integrators
Legendre polynomial expansion
Simplifying assumptions
Energy-preserving algorithm for gyrocenter dynamics of charged particles
期刊论文
NUMERICAL ALGORITHMS, 2019, 卷号: 81, 期号: 4, 页码: 1521-1530
Authors:
Zhang, Ruili
;
Liu, Jian
;
Qin, Hong
;
Tang, Yifa
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View/Download:128/0
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Submit date:2020/01/10
Energy-preserving algorithm
Gyrocenter system
Discrete gradient method
Symplectic integrators with adaptive time step applied to runaway electron dynamics
期刊论文
NUMERICAL ALGORITHMS, 2019, 卷号: 81, 期号: 4, 页码: 1295-1309
Authors:
Shi, Yanyan
;
Sun, Yajuan
;
He, Yang
;
Qin, Hong
;
Liu, Jian
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View/Download:139/0
  |  
Submit date:2020/01/10
Runaway electrons
Symplectic methods
Adaptive time step
Numerical invariant tori of symplectic integrators for integrable Hamiltonian systems
期刊论文
SCIENCE CHINA-MATHEMATICS, 2018, 卷号: 61, 期号: 9, 页码: 1567-1588
Authors:
Ding, Zhaodong
;
Shang, Zaijiu
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View/Download:112/0
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Submit date:2018/10/07
Hamiltonian systems
symplectic integrators
KAM theory
invariant tori
twist symplectic mappings
Russmann's non-degeneracy
numericalinvarianttoriofsymplecticintegratorsforintegrablehamiltoniansystems
期刊论文
sciencechinamathematics, 2018, 卷号: 61, 期号: 9, 页码: 1567
Authors:
Ding Zhaodong
;
Shang Zaijiu
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View/Download:109/0
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Submit date:2020/01/10
Stochastic symplectic Runge-Kutta methods for the strong approximation of Hamiltonian systems with additive noise
期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2017, 卷号: 325, 页码: 134-148
Authors:
Zhou, Weien
;
Zhang, Jingjing
;
Hong, Jialin
;
Song, Songhe
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View/Download:112/0
  |  
Submit date:2018/07/30
Stochastic differential equations
Stochastic Runge-Kutta methods
Symplectic integrators
Mean-square convergence
Splitting K-symplectic methods for non-canonical separable Hamiltonian problems
期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2016, 卷号: 322, 页码: 387-399
Authors:
Zhu, Beibei
;
Zhang, Ruili
;
Tang, Yifa
;
Tu, Xiongbiao
;
Zhao, Yue
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View/Download:95/0
  |  
Submit date:2018/07/30
K-symplectic methods
Splitting algorithms
Gauss' methods
Generating function methods