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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:10/0
  |  
提交时间:2022/04/02
Key words
Runge-Kutta method
symmetric
symplectic
adjoint
high-order
explicit method
Elastoplastic nonlinear analysis of functionally graded beams utilizing the symplectic method
期刊论文
ARCHIVE OF APPLIED MECHANICS, 2021, 卷号: 91, 期号: 12, 页码: 4735-4750
作者:
Peng, Wei
;
He, Tianhu
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  |  
浏览/下载:17/0
  |  
提交时间:2021/10/14
Ceramic-metal composites
Functionally graded beams
Mechanical bending
Plastic deformation zone
Symplectic method
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
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  |  
浏览/下载:7/0
  |  
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
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
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  |  
浏览/下载:2/0
  |  
提交时间:2020/09/23
Exact syplectic twist map
Aubry Mather theory
Hamilton Jacobi equation
Generalized characteristics
Weak KAM solution
Transition chain
Exact solutions for forced vibration of completely free orthotropic rectangular nanoplates resting on viscoelastic foundation
期刊论文
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 2019, 卷号: 73, 页码: 22-33
作者:
Fan, Junhai
;
Rong, Dalun
;
Zhou, Zhenhuan
;
Xu, Chenghui
;
Xu, Xinsheng
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  |  
浏览/下载:32/0
  |  
提交时间:2019/12/02
Symplectic method
Forced vibration
Completely free nanoplate
Nonlocal elasticity theory
Viscoelastic foundation
A fault diagnosis approach for roller bearing based on symplectic geometry matrix machine
期刊论文
MECHANISM AND MACHINE THEORY, 2019, 卷号: Vol.140, 页码: 31-43
作者:
Pan, HY
;
Yang, Y
;
Zheng, JD
;
Li, X
;
Cheng, JS
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  |  
浏览/下载:4/0
  |  
提交时间:2019/12/17
Symplectic geometry matrix machine
Symplectic geometry similarity transformation
Roller bearing
Fault diagnosis
A fault diagnosis approach for roller bearing based on symplectic geometry matrix machine
期刊论文
Mechanism and Machine Theory, 2019, 卷号: Vol.140, 页码: 31-43
作者:
Pan, Haiyang
;
Yang, Yu
;
Zheng, Jinde
;
Li, Xin
;
Cheng, Junsheng
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浏览/下载:18/0
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提交时间:2019/12/17
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
作者:
Ding, Zhaodong
;
Shang, Zaijiu
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  |  
浏览/下载:20/0
  |  
提交时间:2018/10/07
Hamiltonian systems
symplectic integrators
KAM theory
invariant tori
twist symplectic mappings
Russmann's non-degeneracy
A New Analytical Approach for Free Vibration, Buckling and Forced Vibration of Rectangular Nanoplates Based on Nonlocal Elasticity Theory
期刊论文
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS, 2018, 卷号: 18
作者:
Rong, Dalun
;
Fan, Junhai
;
Lim, C. W.
;
Xu, Xinsheng
;
Zhou, Zhenhuan
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  |  
浏览/下载:3/0
  |  
提交时间:2019/12/02
Critical buckling load
dynamic response
natural frequency
rectangular nanoplate
symplectic method
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
作者:
Zhou, Weien
;
Zhang, Jingjing
;
Hong, Jialin
;
Song, Songhe
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  |  
浏览/下载:14/0
  |  
提交时间:2018/07/30
Stochastic differential equations
Stochastic Runge-Kutta methods
Symplectic integrators
Mean-square convergence
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