People > Faculty > TANG Tao

TANG Tao

Chair Professor  

Research Interests:Computational Mathematics, Numerical Methods for PDEs, Spectral Methods, Adaptive grid methods

Office:

Research Interests:

◆ Computational Mathematics

◆ Numerical Methods for PDEs
◆ Spectral Methods, Adaptive grid methods


Working Experience:

◆ 2015 -- present  Chair Professor, Southern University of Science and Technology

◆ 2003 -- 2015,     Chair Professor, Hong Kong Baptist University
◆ 1998 -- 2003,     Associate Professor/Professor, Hong Kong Baptist University
◆ 1990 -- 1998,     Assistant Professor/Associate Professor,  Simon Fraser University


Honors and Professional Experience:

◆ 1988: Leslie Fox Prize for numerical analysis

◆ 2003: Feng Kang Prize for Scientific Computing

◆ 2005-2010: Cheung Kong Chair Professor of Ministry of Education

◆ 2007: National Nature Science Fund for Distinguished Young Scholars

◆ 2007: First Prize in natural science category of Tertiary Institutions Science and Technology Awards by Ministry of 

             Education

◆ 2008-2012: President, Hong Kong Mathematical Society

◆ 2012: SIAM Fellow

◆ 2016: Second Prize of 2016 National Natural Science Award

◆ 2017: Academician of Chinese Academy of Sciences


Editorial Board:

SIAM Journal on Numerical Analysis (2002-2010)

Journal of Computational Mathematics (2006-)

Journal of Computational Physics (2003-)

Mathematics of Computation (2006-2013)

Computers and Fluids (2003-2014)

Journal of Scientific Computing (2006-)

Communications in Computational Physics (Managing Editor)

Frontiers of Mathematics in China (Associate Editor-in-Chief)

◆ Numerical Mathematics: Theory, Methods and Applications (Editor-in-Chief, 2016)

Mathematical Culture (Editor-in-Chief, 2010-)


Selected Publication:

(Full publication list can be found here)


◆ X. Feng, T. Tang and J. Yang,
Long time numerical simulations for phase-field problems using p-adaptive spectral deferred correction methods, SIAM J. Sci. Comput.37(2015), A271-A294.

◆ T. Tang and T. Zhou,
On discrete least square projection in unbounded domain with random evaluations and its application to parametric uncertainty quantification, SIAM J. Sci. Comput.36(5) 2014, A2272-A2295.

◆ Zhonghua Qiao, Zhengru Zhang, and Tao Tang,
An adaptive time-stepping strategy for the molecular beam epitaxy models, SIAM J. Sci. Comput. 33 (2011), 1395-1414.

◆ Yanping Chen and T. Tang,
Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel, Math. Comp. 79 (2010), 147-167.

◆ Chuanju Xu and T. Tang,
Stability analysis of large time-stepping methods for epitaxial growth models, SIAM J. Numer. Anal. 44 (2006), 1759-1779.

◆ H. P. Ma, W. W. Sun, and T. Tang,
Hermite spectral methods with a time-dependent scaling for parabolic equations in unbounded domains, SIAM J. Numer. Anal.43 (2005), no. 1, 58-75.

◆ H.-Z. Tang and T. Tang,
Adaptive mesh methods for one- and two-dimensional hyperbolic conservation laws, SIAM J. Numer. Anal. 41 (2003), no. 2, 487-515.

◆ R. Li, W.-B. Lin, H. P. Ma, and T. Tang,
Adaptive finite element approximation for distributed elliptic optimal control problems, SIAM J. Control Optim. 41 (2002), 1321-1349.

◆ R. Li, T. Tang, and P.-W. Zhang,
Moving mesh methods in multiple dimensions based on harmonic maps, J. Comput. Phys. 170 (2001), 562-588.

◆ T. Tang and M. R. Trummer,
Boundary layer resolving pseudospectral methods for singular perturbation problems, SIAM J. Sci. Comput. 17 (1996), 430-438.

◆ M. Li, T. Tang, and B. Fornberg,
A compact fourth order finite difference scheme for steady incompressible Navier-Stokes equations, Internat. J. Numer. Methods Fluids 20 (1995), 1137-1151.

◆ T. Tang and Z. H. Teng,

The sharpness of Kuznetsov's O( sqrt Delta x) L1-error estimate for monotone difference schemes, Math. Comp.64(1995), 581-589.

◆ T. Tang,
The Hermite spectral method for Gaussian type functions, SIAM J. Sci. Comput. 14 (1993), 594-606.


Monograph

◆ Spectral and High-Order Methods with Applications

(Science Press, Beijing; by Jie Shen, Tao Tang, 2006)


Spectral Methods: Algorithms, Analysis and Applications

(Springer, 2011; by Jie Shen, Tao Tang and L-L Wang)


◆ Numerical Solution of Differential Equations: Introduction to Finite Difference and Finite Element Methods

(Cambridge University Press, by Zhilin Li, Zhonghua Qiao, and Tao Tang, 2017)


Mathematical Writing in English

(Higher education press: by Tao Tang and Jiu Ding, 2013)