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TANG Tao
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Spectral methods
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Rational spectral methods for pdes involving fractional laplacian in unbounded domains
Journal article
SIAM Journal on Scientific Computing,2020, volume: 42, issue: 2, pages: A585-A611
Authors:
Tang, Tao
;
Wang, Li Lian
;
Yuan, Huifang
;
Zhou, Tao
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View/Download:69/8
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Submit date: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
Journal article
Communications in Computational Physics,2018, volume: 24, issue: 4, pages: 1143-1168
Authors:
Tang, Tao
;
Yuan, Huifang
;
Zhou, Tao
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View/Download:3/0
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Submit date: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
Journal article
International Journal of Numerical Analysis and Modeling,2018, volume: 15, issue: 1, pages: 213-227
Authors:
Yang, Jiang
;
Du, Qiang
;
Zhang, Wei
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View/Download:10/0
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Submit date: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
Journal article
Journal of Computational Physics,2015, volume: 303, pages: 45-65
Authors:
Cheng, Yuanzhen
;
Kurganov, Alexander
;
Qu, Zhuolin
;
Tang, Tao
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View/Download:6/0
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Submit date: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
Journal article
SIAM Journal on Scientific Computing,2015, volume: 37, issue: 1, pages: A271-A294
Authors:
Feng, Xinlong
;
Tang, Tao
;
Yang, Jiang
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Submit date: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
Journal article
Journal of Computational Mathematics,2013, volume: 31, issue: 1, pages: 47-56
Authors:
Chen, Yanping
;
Li, Xianjuan
;
Tang, Tao
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View/Download:26/0
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Submit date: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
Journal article
Communications in Computational Physics,2010, volume: 8, issue: 5, pages: 1016-1051
Authors:
Li,Xianjuan
;
Xu,Chuanju
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View/Download:4/0
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Submit date: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
Conference paper
Communications in Computational Physics, Chinese Acad Sci, Beijing, China, JUN 18-22, 2007
Authors:
Tang, Tao
;
Xu, Xiang
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Submit date:2021/07/14
Hamiltonian system
Integral equations
Postprocessing
Rate of convergence
Spectral methods
A spectral method for pantograph-type delay differential equations and its convergence analysis
Journal article
Journal of Computational Mathematics,2009, volume: 27, issue: 2, pages: 254-265
Authors:
Ali, Ishtiaq
;
Brunner, Hermann
;
Tang, Tao
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View/Download:5/0
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Submit date:2021/05/11
Spectral methods
Legendre quadrature formula
Pantograph-type delay differential equations
Error analysis
Exponential convergence
Spectral methods for weakly singular Volterra integral equations with smooth solutions
Journal article
Journal of Computational and Applied Mathematics,2009, volume: 233, issue: 4, pages: 938-950
Authors:
Chen, Yanping
;
Tang, Tao
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View/Download:3/0
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Submit date:2021/05/10
Error analysis
Smooth solutions
Spectral methods
Volterra integral equations
Weakly singular kernels