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POTENTIAL WELL AND MULTIPLICITY OF SOLUTIONS FOR NONLINEAR DIRAC EQUATIONS 期刊论文
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2020, 卷号: 19, 期号: 1, 页码: 587-607
Authors:  Chen, Yu;  Ding, Yanheng;  Xu, Tian
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Dirac equations  semi-classical states  multiplicity  
Bayesian integrative analysis for multi-fidelity computer experiments 期刊论文
JOURNAL OF APPLIED STATISTICS, 2019, 卷号: 46, 期号: 11, 页码: 1973-1987
Authors:  Wei, Yunfei;  Xiong, Shifeng
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Correlated priors  Gaussian process  Kriging  penalization  uncertainty quantification  
Supermartingale decomposition theorem under G-expectation 期刊论文
ELECTRONIC JOURNAL OF PROBABILITY, 2018, 卷号: 23, 页码: 20
Authors:  Li, Hanwu;  Peng, Shige;  Song, Yongsheng
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G-expectation  (E)over-cap(9)-supermartingale  (E)over-cap(9)-supermartingale decomposition theorem  
Weak boundary penalization for Dirichlet boundary control problems governed by elliptic equations 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 卷号: 453, 期号: 1, 页码: 529-557
Authors:  Chang, Lili;  Gong, Wei;  Yan, Ningning
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Dirichlet boundary control  Weak boundary penalization  Finite element method  A priori error estimate  
A line search exact penalty method with bi-object strategy for nonlinear constrained optimization 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2016, 卷号: 300, 页码: 245-258
Authors:  Chen, Zhongwen;  Dai, Yu-Hong
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Nonlinear constrained optimization  Exact penalty methods  Bi-object strategy  Global convergence  
Numerical algorithms and simulations for reflected backward stochastic differential equations with two continuous barriers 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 卷号: 236, 期号: 6, 页码: 1137-1154
Authors:  Xu, Mingyu
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Backward stochastic differential equations with two continuous barriers  Penalization method  Discrete Brownian motion  Numerical simulation  
Statistical inference using a weighted difference-based series approach for partially linear regression models 期刊论文
JOURNAL OF MULTIVARIATE ANALYSIS, 2011, 卷号: 102, 期号: 3, 页码: 601-618
Authors:  Ai, Chunrong;  You, Jinhong;  Zhou, Yong
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Partially linear model  Fixed effects  Difference-based method  Series approximation  Weighted estimation  Covariate selection