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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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Deep Domain Decomposition Methods: Helmholtz Equation
期刊论文
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2023, 卷号: 15, 期号: 1, 页码: 118-138
Authors:
Li, Wuyang
;
Wang, Ziming
;
Cui, Tao
;
Xu, Yingxiang
;
Xiang, Xueshuang
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Submit date:2023/02/07
Helmholtz equation
deep learning
domain decomposition method
plane wave method
Time-domain PML analysis of a fluid-solid interaction problem above a rough surface
期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 页码: 18
Authors:
Wei, Changkun
;
Yang, Jiaqing
;
Zhang, Bo
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View/Download:27/0
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Submit date:2023/02/07
acoustic wave equation
elastic wave equation
exponential convergence
perfectly matched layer
stability
unbounded rough surface
Stable solitons and peakons, quantum information entropies, interactions, and excitations for generalized PT-symmetric NLS equations
期刊论文
WAVE MOTION, 2022, 卷号: 115, 页码: 15
Authors:
Song, Jin
;
Zhou, Zijian
;
Dong, Huanhe
;
Yan, Zhenya
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View/Download:30/0
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Submit date:2023/02/07
Generalized nonlinear Schr?dinger equation
PT-symmetric potentials
Stable solitons and peakons
Quantum information entropy
Soliton interactions and adiabatic
excitations
Stability of High-Order Finite-Difference Schemes for Poroelastic Wave Simulation
期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2022, 卷号: 12, 期号: 4, 页码: 891-911
Authors:
Zhang, Wensheng
;
Joardar, Atish Kumar
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View/Download:28/0
  |  
Submit date:2023/02/07
Stability
poroelastic wave equation
energy method
high-order scheme
wave simulation
Data-driven rogue waves and parameters discovery in nearly integrable PT-symmetric Gross-Pitaevskii equations via PINNs deep learning
期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2022, 卷号: 439, 页码: 12
Authors:
Zhong, Ming
;
Gong, Shibo
;
Tian, Shou-Fu
;
Yan, Zhenya
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Submit date:2023/02/07
GeneralizedGrossPitaevskiiequation
ComplexPT-symmetricpotentials
Physics-informeddeepneuralnetworks
Data-driven rogue waves and parameters discovery discovery
L-2-CONVERGENCE TO NONLINEAR DIFFUSION WAVES FOR EULER EQUATIONS WITH TIME-DEPENDENT DAMPING
期刊论文
ACTA MATHEMATICA SCIENTIA, 2022, 卷号: 42, 期号: 6, 页码: 2505-2522
Authors:
Geng, Shifeng
;
Huang, Feimin
;
Wu, Xiaochun
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Submit date:2023/02/07
L-2-convergence
compressible Euler Equations
time asymptotic expansion
time-dependent damping
relative entropy inequality
Uniform exponential stability of semi-discrete scheme for observer-based control of 1-D wave equation
期刊论文
SYSTEMS & CONTROL LETTERS, 2022, 卷号: 168, 页码: 12
Authors:
Ren, Han-Jing
;
Guo, Bao-Zhu
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Submit date:2023/02/07
Coupled wave equations
Uniform exponential stability
Order reduction finite -difference method
N-(soliton, breather) interactions for general multi-component third-fifth-order mKdV equations via Riemann-Hilbert method
期刊论文
WAVE MOTION, 2022, 卷号: 114, 页码: 13
Authors:
Zhang, Minghe
;
Weng, Weifang
;
Yan, Zhenya
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Submit date:2023/02/07
Multi-component third-fifth-order mKdV
equations
Lax pair
Riemann-Hilbert approach
Soliton solutions
Breathers
Vector semi-rational rogon-solitons and asymptotic analysis for any multi-component Hirota equations with mixed backgrounds
期刊论文
COMMUNICATIONS IN THEORETICAL PHYSICS, 2022, 卷号: 74, 期号: 9, 页码: 17
Authors:
Weng, Weifang
;
Zhang, Guoqiang
;
Chen, Shuyan
;
Zhou, Zijian
;
Yan, Zhenya
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  |  
Submit date:2023/02/07
Multi-componentHirotaequations
mixedbackgrounds
modifiedDarbouxtransform
semi-rational RWs and W-shaped solitons
asymptotic analysis
Optimal Control in a Bounded Domain for Wave Propagating in the Whole Space: Coupling Through Boundary Integral Equations
期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2022, 卷号: 92, 期号: 3, 页码: 52
Authors:
Gong, Wei
;
Li, Buyang
;
Yang, Huanhuan
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View/Download:33/0
  |  
Submit date:2023/02/07
Wave equation
Unbounded domain
Boundary integral equation
Well-posedness
Convolution quadrature
Stability
Convergence
Error estimate