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Data-driven polynomial chaos expansions: A weighted least-square approximation 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 卷号: 381, 页码: 129-145
作者:  Guo, Ling;  Liu, Yongle;  Zhou, Tao
收藏  |  浏览/下载：166/0  |  提交时间：2019/03/11
Uncertainty quantification  Data-driven polynomial chaos expansions  Weighted least-squares  Equilibrium measure  
A sparse enhanced indexation model with chance and cardinality constraints 期刊论文
JOURNAL OF GLOBAL OPTIMIZATION, 2018, 卷号: 70, 期号: 1, 页码: 5-25
作者:  Xu, Fengmin;  Wang, Meihua;  Dai, Yu-Hong;  Xu, Dachuan
收藏  |  浏览/下载：122/0  |  提交时间：2018/07/30
Enhanced indexation  Chance constraint  Mixed integer programming  Distributionally robust approach  
The partition function of the Bures ensemble as the tau-function of BKP and DKP hierarchies: continuous and discrete 期刊论文
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2017, 卷号: 50, 期号: 28, 页码: 20
作者:  Hu, Xing-Biao;  Li, Shi-Hao
收藏  |  浏览/下载：113/0  |  提交时间：2018/07/30
Toda-type equation  matrix integrals  Pfaffian  BKP and DKP hierarchies  
Boundary value problems of fractional Fokker-Planck equations 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 卷号: 73, 期号: 6, 页码: 959-969
作者:  Aleroev, Temirkhan S.;  Aleroeva, Hedi T.;  Huang, Jianfei;  Tamm, Mikhail V.;  Tang, Yifa;  Zhao, Yue
收藏  |  浏览/下载：130/0  |  提交时间：2018/07/30
Boundary value problems  Fractional Fokker-Planck equations  The Fourier method  Caputo derivative operator  
Transient heat conduction problem with radiation boundary condition of statistically inhomogeneous materials by second-order two-scale method 期刊论文
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2016, 卷号: 100, 页码: 362-377
作者:  Yang, Zhiqiang;  Cui, Junzhi;  Sun, Yi
收藏  |  浏览/下载：107/0  |  提交时间：2018/07/30
SSOTS method  Radiation boundary condition  Heat transfer  Inhomogeneous porous materials  Random distribution  
Weighted discrete least-squares polynomial approximation using randomized quadratures 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2015, 卷号: 298, 页码: 787-800
作者:  Zhou, Tao;  Narayan, Akil;  Xiu, Dongbin
收藏  |  浏览/下载：109/0  |  提交时间：2018/07/30
Least squares method  Orthogonal polynomials  Generalized polynomial chaos  Uncertainty quantification  
The statistical second-order two-scale method for mechanical properties of statistically inhomogeneous materials 期刊论文
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2010, 卷号: 84, 期号: 8, 页码: 972-988
作者:  Han, Fei;  Cui, Junzhi;  Yu, Yan
收藏  |  浏览/下载：111/0  |  提交时间：2018/07/30
multi-scale  statistically inhomogeneous materials  mechanical properties  homogenization