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Convergence Analysis of Spectral Galerkin Methods for Volterra Type Integral Equations
Ziqing Xie, Xianjuan Li, and Tao Tang ..... J. Sci. Comput. 53 (2012), 414-434. (pdf) | |
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Galerkin Methods for Stochastic Hyperbolic Problems Using Bi-Orthogonal Polynomials
Tao Zhou and Tao Tang ..... J. Sci. Comput. 51 (2012), 274-292. (pdf) | |
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Convergence analysis of the Jacobi spectral-collocation methods for
Volterra integral equations with a weakly singular kernel
Yanping Chen and Tao Tang ..... Math. Comput. 79 (2010), 147-167. (pdf) | |
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Convergence analysis for stochastic collocation
methods to scalar hyperbolic equations with a
random wave speed
Tao Tang and Tao Zhou ..... Commun. Comput. Phys. 8 (2010), 226-248. (pdf) | |
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A spectral method for pantograph-type delay differential
equations and its convergence analysis
Ishtiaq Ali, Hermann Brunner and Tao Tang ..... J. Comput. Math. 27 (2009) 254-265. (pdf) | |
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Spectral methods for pantograph-type differential and integral equations
with multiple delays
Ishtiaq Ali, Hermann Brunner and Tao Tang ..... Front. Math. China 4 (2009) 49-61. (pdf) | |
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Spectral methods for weakly singular Volterra integral equations with
smooth solutions
Yanping Chen and Tao Tang ..... J. Comput. Appl. Math. 233 (2009), 938-950. (pdf) | |
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Accuracy enhancement using spectral postprocessing for
differential equations and integral equations
Tao Tang and Xiang Xu ..... Commun. Comput. Phys. 5 (special ICOSAHOM07 issue) (2009) 779-792. (pdf) | |
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On spectral methods for Volterra integral equations
and the convergence analysis
Tao Tang, Xiang Xu and Jin Cheng ..... J. Comp. Math. 26 (2008) 825-837. (pdf) | |
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On large time-stepping methods for the Cahn-Hilliard equation
Yinnian He, Yunxian Liu and Tao Tang ..... Appl. Numer. Math., 57 (2007), 616-628. (pdf) | |
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Stability analysis of large time-stepping methods for epitaxial growth models
Chuanju Xu and Tao Tang ..... SIAM J. Numer. Anal., 44 (2006), 1759-1779. (pdf) | |
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Hermite spectral methods with a time-dependent scaling
for parabolic equations in unbounded domains
Heping Ma, Weiwei Sun and Tao Tang ..... SIAM J Numer Anal., 43 (2005), 58-75. (pdf) |
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A new parallel strategy for two-dimensional incompressible flow
simulations using pseudo-spectral methods
Z. Yin, Li Yuan and Tao Tang ..... J. Comput. Phys, 210 (2005), 325-341. (pdf) | |
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Combined Hermite spectral-finite difference method
for the Fokker-Planck equation.
Johnson Fok, Benyu Guo and T. Tang. ..... Math. Comp., 71 (2002), pp. 1497-1528. (ps), (pdf) | |
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Error analysis for a Galerkin-spectral method with coordinate
transformation for solving singularly perturbed problems. W.-B. Liu and T. Tang ..... Appl. Numer. Math., 38 (2001), pp. 315-345. (ps.gz) (pdf) | |
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A spectral domain decomposition approach for steady Navier-Stokes
problems in circular geometries. A. Karageorghis and T. Tang ..... Comput. & Fluids, 25 (1996), pp. 541-549. (ps) | |
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Boundary layer resolving pseudospectral methods for singular
perturbation problems. T. Tang and Manfred Trummer ..... SIAM J Sci Comp, 17 (1996), pp. 430-438. (ps) (pdf) | |
| The numerical computation of connecting orbits in dynamical systems:
a rational spectral approach, Yingjie Liu, Lixin Liu, and T. Tang ..... J. Comput. Phys. 111 (1994), 373-380. (pdf) | |
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The Hermite spectral method for gaussian type functions. T. Tang ..... SIAM J. Sci. Comput. 14 (1993), 594-606. (pdf) | |
| A spectral method for the numerical solutions of a kinetic equation
describing the dispersion of small particles in a turbulent flow. T. Tang, S. McKee, and M. W. Reeks ..... J. Comput. Phys. 103 (1992), 222-230. (pdf) | |