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A note on Jacobi spectral-collocation methods for weakly singular Volterra integral equations with smooth solutions
期刊论文
Journal of Computational Mathematics,2013, 卷号: 31, 期号: 1, 页码: 47-56
作者:
Chen, Yanping
;
Li, Xianjuan
;
Tang, Tao
收藏
  |  
浏览/下载:34/0
  |  
提交时间:2021/05/11
Convergence analysis
Spectral-collocation methods
Volterra integral equations
High-order convergence of spectral deferred correction methods on general quadrature nodes
期刊论文
Journal of Scientific Computing,2013, 卷号: 56, 期号: 1, 页码: 1-13
作者:
Tang, Tao
;
Xie, Hehu
;
Yin, Xiaobo
收藏
  |  
浏览/下载:10/0
  |  
提交时间:2021/05/10
General quadrature nodes
High-order convergence
Modified SDC
Spectral deferred correction (SDC)
Convergence analysis of Jacobi spectral collocation methods for Abel-Volterra integral equations of second kind
期刊论文
Frontiers of Mathematics in China,2012, 卷号: 7, 期号: 1, 页码: 69-84
作者:
Li, Xianjuan
;
Tang, Tao
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  |  
浏览/下载:12/0
  |  
提交时间:2021/05/10
Abel-Volterra integral equation
convergence analysis
Jacobi spectral collocation method
Convergence analysis of spectral Galerkin methods for Volterra type integral equations
期刊论文
Journal of Scientific Computing,2012, 卷号: 53, 期号: 2, 页码: 414-434
作者:
Xie, Ziqing
;
Li, Xianjuan
;
Tang, Tao
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  |  
浏览/下载:16/0
  |  
提交时间:2021/05/10
Pseudo-spectral Galerkin
Spectral convergence
Spectral Galerkin
The second kind Volterra integral equations
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: 643-656
作者:
Zhou, Tao
;
Tang, Tao
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  |  
浏览/下载:8/0
  |  
提交时间:2021/05/10
Analytic regularity
Scalar transport equations
Spectral convergence
Stochastic collocation
Stochastic Galerkin
Accuracy enhancement using spectral postprocessing for differential equations and integral equations
会议论文
Communications in Computational Physics, Chinese Acad Sci, Beijing, China, JUN 18-22, 2007
作者:
Tang, Tao
;
Xu, Xiang
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  |  
浏览/下载:12/0
  |  
提交时间:2021/07/14
Hamiltonian system
Integral equations
Postprocessing
Rate of convergence
Spectral methods
Spectral methods for pantograph-type differential and integral equations with multiple delays
期刊论文
Frontiers of Mathematics in China,2009, 卷号: 4, 期号: 1, 页码: 49-61
作者:
Ali, Ishtiaq
;
Brunner, Hermann
;
Tang, Tao
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  |  
浏览/下载:17/0
  |  
提交时间:2021/05/11
Convergence analysis
Delay differential equation
Legendre spectral method
Multiple vanishing delays
Volterra functional integral equation
A spectral method for pantograph-type delay differential equations and its convergence analysis
期刊论文
Journal of Computational Mathematics,2009, 卷号: 27, 期号: 2, 页码: 254-265
作者:
Ali, Ishtiaq
;
Brunner, Hermann
;
Tang, Tao
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  |  
浏览/下载:11/0
  |  
提交时间:2021/05/11
Spectral methods
Legendre quadrature formula
Pantograph-type delay differential equations
Error analysis
Exponential convergence
On spectral methods for Volterra integral equations and the convergence analysis
期刊论文
Journal of Computational Mathematics,2008, 卷号: 26, 期号: 6, 页码: 825-837
作者:
Tang, Tao
;
Xu, Xiang
;
Cheng, Jin
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  |  
浏览/下载:30/0
  |  
提交时间:2021/05/10
Convergence analysis
Legendre-spectral method
Second kind Volterra integral equations
Hermite spectral methods with a time-dependent scaling for parabolic equations in unbounded domains
期刊论文
SIAM Journal on Numerical Analysis,2005, 卷号: 43, 期号: 1, 页码: 58-75
作者:
Ma, Heping
;
Sun, Weiwei
;
Tang, Tao
收藏
  |  
浏览/下载:13/0
  |  
提交时间:2021/05/11
Convergence
Hermite spectral method
Stability
Time-dependent scaling