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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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Helmholtz equation  deep learning  domain decomposition method  plane wave method  
Stability of a coefficient inverse problem for the discrete Schrodinger equation and a convergence result 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 卷号: 518, 期号: 1, 页码: 25
Authors:  Zhao, Zhongliu;  Zhang, Wensheng
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Inverse problem  Semi-discrete Schr?dinger equation  Discrete Carleman estimate  Convergence  Stability  
Error analysis of a conservative finite element scheme for time-dependent inductionless MHD problem 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2023, 卷号: 419, 页码: 22
Authors:  Long, Xiaonian;  Ding, Qianqian;  Mao, Shipeng
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Inductionless magnetohydrodynamics  Current density conservation  Euler semi-implicit  Error estimate  Mixed finite element method  
System identification under saturated precise or set-valued measurements 期刊论文
SCIENCE CHINA-INFORMATION SCIENCES, 2023, 卷号: 66, 期号: 1, 页码: 20
Authors:  Zhao, Yanlong;  Zhang, Hang;  Wang, Ting;  Kang, Guolian
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system identification  Cramer-Rao lower bound  truncated data  precise measurement  set-valued measurement  
A NOVEL AUGMENTED LAGRANGIAN METHOD OF MULTIPLIERS FOR OPTIMIZATION WITH GENERAL INEQUALITY CONSTRAINTS 期刊论文
MATHEMATICS OF COMPUTATION, 2022, 页码: 30
Authors:  Liu, Xin-Wei;  Dai, Yu-Hong;  Huang, Ya-Kui;  Sun, Jie
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Nonlinear programming  inequality-constrained optimization  augmented Lagrangian method of multipliers  strong global convergence  local convergence  
A Note on the Convergence of Distributed RLS 期刊论文
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2022, 卷号: 67, 期号: 12, 页码: 6762-6769
Authors:  Liu, Zhaobo;  Li, Chanying
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Distributed estimation  mean square convergence  noises  recursive least squares  strong consistency  
Positivity and stability of timescale-type linear singular systems with time delays 期刊论文
SCIENCE CHINA-INFORMATION SCIENCES, 2022, 卷号: 65, 期号: 12, 页码: 16
Authors:  Lu, Xiaodong;  Li, Haitao;  Zhang, Xianfu
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positivity  stability  time delay  linear singular systems  timescale-type systems  
Central limit theorem and moderate deviation principle for stochastic scalar conservation laws 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 卷号: 516, 期号: 1, 页码: 26
Authors:  Wu, Zhengyan;  Zhang, Rangrang
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Stochastic scalar conservation laws  Weak convergence method  Doubling of variables method  Central limit theorem  Moderate deviation principle  Kinetic solution  
Pricing arithmetic Asian and Amerasian options: A diffusion operator integral expansion approach 期刊论文
JOURNAL OF FUTURES MARKETS, 2022, 页码: 25
Authors:  Ding, Kailin;  Cui, Zhenyu;  Yang, Xiaoguang
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American Asian options  Asian option  diffusion operator integral  series expansion  
Distributed stochastic gradient tracking methods with momentum acceleration for non-convex optimization 期刊论文
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2022, 页码: 42
Authors:  Gao, Juan;  Liu, Xin-Wei;  Dai, Yu-Hong;  Huang, Yakui;  Gu, Junhua
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Distributed non-convex optimization  Machine learning  Momentum methods  Optimization algorithms  Convergence rate