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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
Adobe PDF(654Kb)
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收藏
  |  
浏览/下载:109/39
  |  
提交时间:2021/04/23
Fourier transforms
Fractional Laplacian
Gegenbauer polynomials
Modified rational functions
Spectral methods
Unbounded domains
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
收藏
  |  
浏览/下载:9/0
  |  
提交时间:2021/08/05
Fractional PDEs
Hermite polynomials/functions
unbounded domain
spectral collocation methods
Uniform Lp-bound of the allen–cahn equation and its numerical discretization
期刊论文
International Journal of Numerical Analysis and Modeling,2018, 卷号: 15, 期号: 1, 页码: 213-227
作者:
Yang, Jiang
;
Du, Qiang
;
Zhang, Wei
收藏
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浏览/下载:15/0
  |  
提交时间:2021/10/19
Allen–Cahn Equations
Fourier spectral methods
Maximum principle
Operator splitting
Uniform Lp-bound
Fast and stable explicit operator splitting methods for phase-field models
期刊论文
Journal of Computational Physics,2015, 卷号: 303, 页码: 45-65
作者:
Cheng, Yuanzhen
;
Kurganov, Alexander
;
Qu, Zhuolin
;
Tang, Tao
收藏
  |  
浏览/下载:13/0
  |  
提交时间:2021/05/10
Adaptive time-stepping
Cahn-Hilliard equation
Large stability domain explicit Runge-Kutta methods
Molecular beam epitaxy equation
Operator splitting methods
Phase-field models
Pseudo-spectral methods
Semi-discrete finite-difference schemes
Long time numerical simulations for phase-field problems using p-adaptive spectral deferred correction methods
期刊论文
SIAM Journal on Scientific Computing,2015, 卷号: 37, 期号: 1, 页码: A271-A294
作者:
Feng, Xinlong
;
Tang, Tao
;
Yang, Jiang
收藏
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浏览/下载:13/0
  |  
提交时间:2021/05/10
Adaptive scheme
Energy stable convex splitting
Long time simulation
Phase-field models
Semi-implicit spectral deferred correction methods
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:32/0
  |  
提交时间:2021/05/11
Convergence analysis
Spectral-collocation methods
Volterra integral equations
Existence and uniqueness of the weak solution of the space-time fractional diffusion equation and a spectral method approximation
期刊论文
Communications in Computational Physics,2010, 卷号: 8, 期号: 5, 页码: 1016-1051
作者:
Li,Xianjuan
;
Xu,Chuanju
收藏
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浏览/下载:16/0
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提交时间:2021/10/19
Error estimates
Existence and uniqueness
Space-time fractional diffusion equation
Spectral methods
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
收藏
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浏览/下载:10/0
  |  
提交时间:2021/07/14
Hamiltonian system
Integral equations
Postprocessing
Rate of convergence
Spectral methods
Spectral methods for weakly singular Volterra integral equations with smooth solutions
期刊论文
Journal of Computational and Applied Mathematics,2009, 卷号: 233, 期号: 4, 页码: 938-950
作者:
Chen, Yanping
;
Tang, Tao
收藏
  |  
浏览/下载:7/0
  |  
提交时间:2021/05/10
Error analysis
Smooth solutions
Spectral methods
Volterra integral equations
Weakly singular kernels
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
收藏
  |  
浏览/下载:10/0
  |  
提交时间:2021/05/11
Spectral methods
Legendre quadrature formula
Pantograph-type delay differential equations
Error analysis
Exponential convergence