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High-order Numerical Quadratures in a Tetrahedron with an Implicitly Defined Curved Interface 期刊论文
ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 2020, 卷号: 46, 期号: 1, 页码: 18
作者:  Cui, Tao;  Leng, Wei;  Liu, Huaqing;  Zhang, Linbo;  Zheng, Weiying
收藏  |  浏览/下载:152/0  |  提交时间:2021/01/14
Quadrature  tetrahedral mesh  curved surface  extended finite element  high order  
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:120/0  |  提交时间:2018/07/30
Spectral method  sparse grid approximations  forward backward stochastic differential equations  conditional expectations  fast Fourier transform  
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  
Extrapolation methods to compute hypersingular integral in boundary element methods 期刊论文
SCIENCE CHINA-MATHEMATICS, 2013, 卷号: 56, 期号: 8, 页码: 1647-1660
作者:  Li Jin;  Zhang XiaoPing;  Yu DeHao
收藏  |  浏览/下载:126/0  |  提交时间:2021/01/14
CAUCHY PRINCIPAL VALUE  FINITE-PART INTEGRALS  GAUSSIAN QUADRATURE  SINGULAR-INTEGRALS  NUMERICAL-SOLUTION  EQUATIONS  SUPERCONVERGENCE  CIRCLE  hypersingular integrals  trapezoidal rule  asymptotic error expansion  extrapolation algorithm  
Construction of sigma-orthogonal polynomials and gaussian quadrature formulas 期刊论文
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2007, 卷号: 27, 期号: 1, 页码: 79-94
作者:  Shi, Ying Guang;  Xu, Guoliang
收藏  |  浏览/下载:103/0  |  提交时间:2018/07/30
sigma-orthogonal polynomials  existence  uniqueness  characterizations  continuity  Gaussian quadrature formulas  algorithm  
On Gaussian quadrature formulas for the Chebyshev weight 期刊论文
JOURNAL OF APPROXIMATION THEORY, 1999, 卷号: 98, 期号: 1, 页码: 183-195
作者:  Shi, YG
收藏  |  浏览/下载:114/0  |  提交时间:2018/07/30
Chebyshev weight  Chebyshev polynomials  Gaussian quadrature formulas  
The generalized Markov-Stieltjes inequality for Birkhoff quadrature formulas 期刊论文
JOURNAL OF APPROXIMATION THEORY, 1996, 卷号: 86, 期号: 2, 页码: 229-239
作者:  Shi, YG
收藏  |  浏览/下载:61/0  |  提交时间:2018/07/30
A SOLUTION OF PROBLEM 26 OF TURAN,P 期刊论文
SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY & TECHNOLOGICAL SCIENCES, 1995, 卷号: 38, 期号: 11, 页码: 1313-1319
作者:  SHI, YG
收藏  |  浏览/下载:83/0  |  提交时间:2018/07/30
GAUSSIAN QUADRATURE FORMULA  COTES NUMBERS  CHEBYSHEV NODES