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科研机构
数学与系统科学研究... [21]
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期刊论文 [21]
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2020 [1]
2018 [2]
2017 [2]
2015 [1]
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专题:数学与系统科学研究院
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RATIONAL SPECTRAL METHODS FOR PDEs INVOLVING FRACTIONAL LAPLACIAN IN UNBOUNDED DOMAINS
期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2020, 卷号: 42, 期号: 2, 页码: A585-A611
作者:
Tang, Tao
;
Wang, Li-Lian
;
Yuan, Huifang
;
Zhou, Tao
收藏
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浏览/下载:5/0
  |  
提交时间:2020/09/23
fractional Laplacian
Gegenbauer polynomials
modified rational functions
unbounded domains
Fourier transforms
spectral methods
Hermite Spectral Collocation Methods for Fractional PDEs in Unbounded Domains
期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2018, 卷号: 24, 期号: 4, 页码: 1143-1168
作者:
Tang, Tao
;
Yuan, Huifang
;
Zhou, Tao
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  |  
浏览/下载:23/0
  |  
提交时间:2019/03/05
Fractional PDEs
Hermite polynomials/functions
unbounded domain
spectral collocation methods
Hermite Spectral Collocation Methods for Fractional PDEs in Unbounded Domains
期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2018, 卷号: 24, 期号: 4, 页码: 1143
作者:
Tang, Tao
;
Yuan, Huifang
;
Zhou, Tao
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  |  
浏览/下载:7/0
  |  
提交时间:2019/12/31
A CHRISTOFFEL FUNCTION WEIGHTED LEAST SQUARES ALGORITHM FOR COLLOCATION APPROXIMATIONS
期刊论文
MATHEMATICS OF COMPUTATION, 2017, 卷号: 86, 期号: 306, 页码: 1913-1947
作者:
Narayan, Akil
;
Jakeman, John D.
;
Zhou, Tao
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浏览/下载:16/0
  |  
提交时间:2018/07/30
A GENERALIZED SAMPLING AND PRECONDITIONING SCHEME FOR SPARSE APPROXIMATION OF POLYNOMIAL CHAOS EXPANSIONS
期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2017, 卷号: 39, 期号: 3, 页码: A1114-A1144
作者:
Jakeman, John D.
;
Narayan, Akil
;
Zhou, Tao
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浏览/下载:17/0
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提交时间:2018/07/30
uncertainty quantification
polynomial chaos
compressed sensing
Stochastic Collocation on Unstructured Multivariate Meshes
期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2015, 卷号: 18, 期号: 1, 页码: 1-36
作者:
Narayan, Akil
;
Zhou, Tao
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  |  
浏览/下载:9/0
  |  
提交时间:2018/07/30
Stochastic collocation
unstructured methes
least-squares
compressive sampling
least interpolation
CONVERGENCE ANALYSIS FOR SPECTRAL APPROXIMATION TO A SCALAR TRANSPORT EQUATION WITH A RANDOM WAVE SPEED
期刊论文
Journal of Computational Mathematics, 2012, 卷号: 30, 期号: 6, 页码: 643
作者:
Zhou Tao
;
Tang Tao
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浏览/下载:10/0
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提交时间:2020/01/10
On sinc discretization and banded preconditioning for linear third-order ordinary differential equations
期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2011, 卷号: 18, 期号: 3, 页码: 471-497
作者:
Bai, Zhong-Zhi
;
Chan, Raymond H.
;
Ren, Zhi-Ru
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浏览/下载:17/0
  |  
提交时间:2018/07/30
third-order ordinary differential equation
sinc-collocation discretization
sinc-Galerkin discretization
convergence analysis
banded preconditioning
Krylov subspace methods
COLLOCATION METHODS FOR GENERAL VOLTERRA FUNCTIONAL INTEGRAL EQUATIONS WITH VANISHING DELAYS
期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2011, 卷号: 33, 期号: 6, 页码: 3303-3332
作者:
Xie, Hehu
;
Zhang, Ran
;
Brunner, Hermann
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  |  
浏览/下载:12/0
  |  
提交时间:2018/07/30
Volterra functional integral equations
vanishing delays
pantograph-type delays
existence and regularity of solutions
collocation solutions
optimal order of convergence
Discrete multi-projection methods for eigen-problems of compact integral operators
期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2010, 卷号: 217, 期号: 8, 页码: 3974-3984
作者:
Long, Guangqing
;
Nelakanti, Gnaneshwar
;
Panigrahi, Bijaya Laxmi
;
Sahani, Mitali Madhumita
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  |  
浏览/下载:17/0
  |  
提交时间:2018/07/30
Super-convergence rates
Discrete projection methods
Eigenvalue problems
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