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Interface-penalty finite element methods for interface problems in H-1, H(curl), and H(div) 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2020, 卷号: 367, 页码: 16
作者:  Liu, Huaqing;  Zhang, Linbo;  Zhang, Xiaodi;  Zheng, Weiying
收藏  |  浏览/下载:173/0  |  提交时间:2020/10/12
Interface problem  Unfitted mesh  Interface-penalty finite element method  Maxwell's equation  Nitsche's method  
Convolution Quadrature Methods for Time-Space Fractional Nonlinear Diffusion-Wave Equations 期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2019, 卷号: 9, 期号: 3, 页码: 538-557
作者:  Huang, Jianfei;  Arshad, Sadia;  Jiao, Yandong;  Tang, Yifa
收藏  |  浏览/下载:170/0  |  提交时间:2020/01/10
Fractional diffusion-wave equation  nonlinear source  convolution quadrature  generating function  stability and convergence  
EFFICIENT SPECTRAL SPARSE GRID APPROXIMATIONS FOR SOLVING MULTI-DIMENSIONAL FORWARD BACKWARD SDES 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2017, 卷号: 22, 期号: 9, 页码: 3439-3458
作者:  Fu, Yu;  Zhao, Weidong;  Zhou, Tao
收藏  |  浏览/下载:122/0  |  提交时间:2018/07/30
Spectral method  sparse grid approximations  forward backward stochastic differential equations  conditional expectations  fast Fourier transform  
High Order Mass-Lumping Finite Elements on Simplexes 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2017, 卷号: 10, 期号: 2, 页码: 331-350
作者:  Cui, Tao;  Leng, Wei;  Lin, Deng;  Ma, Shichao;  Zhang, Linbo
收藏  |  浏览/下载:132/0  |  提交时间:2018/07/30
Finite element  mass-lumping  simplex  numerical quadrature  multivariate polynomial interpolation  unisolvence  
A NODAL SPARSE GRID SPECTRAL ELEMENT METHOD FOR MULTI-DIMENSIONAL ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2017, 卷号: 14, 期号: 4-5, 页码: 762-783
作者:  Rong, Zhijian;  Shen, Jie;  Yu, Haijun
收藏  |  浏览/下载:107/0  |  提交时间:2018/07/30
Sparse grid  spectral element method  high-dimensional problem  adaptive method  
highordermasslumpingfiniteelementsonsimplexes 期刊论文
numericalmathematicstheorymethodsandapplications, 2017, 卷号: 10, 期号: 2, 页码: 331
作者:  Cui Tao;  Leng Wei;  Lin Deng;  Ma Shichao;  Zhang Linbo
收藏  |  浏览/下载:147/0  |  提交时间:2020/01/10
CONSERVATIVE METHODS FOR STOCHASTIC DIFFERENTIAL EQUATIONS WITH A CONSERVED QUANTITY 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2016, 卷号: 13, 期号: 3, 页码: 435-456
作者:  Chen, Chuchu;  Cohen, David;  Hong, Jialin
收藏  |  浏览/下载:119/0  |  提交时间:2018/07/30
Stochastic differential equations  invariants  conservative methods  stochastic geometric numerical integration  quadrature formula  splitting technique  mean-square convergence order  weak convergence order  
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:110/0  |  提交时间:2018/07/30
Least squares method  Orthogonal polynomials  Generalized polynomial chaos  Uncertainty quantification  
A SET OF SYMMETRIC QUADRATURE RULES ON TRIANGLES AND TETRAHEDRA 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2009, 卷号: 27, 期号: 1, 页码: 89-96
作者:  Zhang, Linbo;  Cui, Tao;  Liu, Hui
收藏  |  浏览/下载:84/0  |  提交时间:2018/07/30
Finite element  Numerical integration  Quadrature  Cubature  Triangle  Tetrahedron