2025-01-13T17:26:02+08:00

Tao TANG 湯濤

Adjunct Chair Professor
Faculty of Education, University of Macau

Recent Journal Publications

  1. Feng, Lei Li, J.-G. Liu and T. Tang, Some Gronwall inequalities for a class of discretizations of time fractional equations on nonuniform meshes, To appear in SIAM Journal on Numerical Analysis, 2024.
  2. Zhaohui Fu, Tao Tang and Jiang Yang, Energy diminishing implicit-explicit Runge-Kutta methods for gradient flows, To appear in Mathematics of Computation 2024.
  3. Honglin Liao, Tao Tang and Tao Zhou, Positive definiteness of real quadratic forms resulting for the variable-step approximations of convolution operators, Sci. China Math. 67, 237-252 (2024).
  4. Honglin Liao, Tao Tang and Tao Zhou, Stability and convergence of the variable-step time filtered backward Euler scheme for parabolic equations, BIT Numer. Anal., 63, 39 (2023).
  5. Zhiwei Gao, Tao Tang, Liang Yan & Tao Zhou, Failure-Informed Adaptive Sampling for PINNS, Part II: Combining with Re-sampling and Subset Simulation., Commun. Appl. Math. Comput. (2023).
  6. Dianming Hou, Zhonghua Qiao & Tao Tang, Fast High Order and Energy Dissipative Schemes with Variable Time Steps for Time-Fractional Molecular Beam Epitaxial Growth Model, Ann. Appl. Math, 39 (2023) pp. 429-461.
  7. Chaoyu Quan, Tao Tang, Boyi Wang & Jiang Yang, A Decreasing Upper Bound of the Energy for Time-Fractional Phase-Field Equations, Communications in Computational Physics. 33 (2023) pp. 962-991.
  8. Honglin Liao, Tao Tang and Tao Zhou, Discrete energy analysis of the third order variable-step BDF scheme for diffusion equations, J. Comput. Math., 4`1 (2023), pp.325-344.
  9. Tang, T., Wu, X., & Yang.J., Arbitrarily High Order and Fully Discrete Extrapolated Rk-SAV/DG Schemes for Phase-field Gradient Flows, J Sci Comput., 93, 38 (2022). (pdf)
  10. Dong Li, Chaoyu Quan, and T. Tang, Stability and convergence analysis for the implicit-explicit method to the Cahn-Hilliard equation, Mathematics of Computation, 91 (2022), pp. 785-809.

Book

  1. 《冯康传》by Ken NING, Tang TAO, Zhejiang Education Publishing, 2020
  2. Numerical solution of differential equations: introduction to finite difference and finite element methods by Z Li, Z Qiao, T Tang, Cambridge University Press, 2017.
  3. Mathematical Writing in English (in Chinese) by Tao Tang, Jiu Ding, Higher Education Press, 2013.
  4. Spectral Methods: Algorithms, Analysis and Applications, by Jie Shen, Tao Tang, Li-Lian Wang, Springer-Verlag, 2011.
  5. Spectral and High-Order Methods with Applications by Jie Shen and Tao Tang, Science Press, 2007 (326 pp.)

Book Editing

  1. Adaptive Computations: Theory and Algorithms Edited by Tao Tang and Jinchao Xu, Science Press, Beijing, 2007 (pp. 415)
  2. Recent Advances in Adaptive Computation, Edited by Z.-C. Shi, Z. Chen, T. Tang and D. Yu, American Mathematical Society, 2005.
  3. Advances in Scientific Computing and Applications, Edited by Yayan Lu, Weiwei Sun and Tao Tang, Science Press, Beijing/New York Publishers, 2004.
  4. Recent Advances in Scientific Computing and Partial Differential Equations, Edited by S. Y. Cheng, C.-W. Shu and T. Tang, American Mathematical Society, 2003.
  5. Recent Progress in Computational and Applied PDEs, Edited by Tony Chan, Yunqing Huang, Tao Tang, Jinchao Xu and Long-an Ying, Kluwer Academic/Plenum Publishers, 2002.

Special Issues

  1. Special Issue on Numerical analysis for functional differential and integral equations, Frontiers of Mathematics in China, Volume 4, Number 1 / March, 2009 Edited by Hermann Brunner, Tao Tang and Stefan Vandewalle
  2. Special issue on Spectral and High Order Methods, Communications in Computational Physics, Volume 5, Issues 2-4 pp. 195-848, 2009 Edited by Zhiming Chen, Zhong-Ci Shi, Chi-Wang Shu and Tao Tang
  3. Special Issue for the 2nd Sino-German Workshop on Computational and Applied Mathematics, Journal of Computational Mathematics, Vol.27, No.2-3, 2009 Edited by Carsten Carstensen, Rolf Rannacher, Zhong-Ci Shi and Tao Tang
  4. Special Issue for the International Conference on Scientific Computing, Applied Numerical Mathematics, Volume 57, Issues 5-7, 2007 Edited by Zhilin Li, Yongzhong Song and Tao Tang
  5. Communications on Pure and Applied Analysis Volume 5, Number 2, June 2006 Edited by T. Diogo, P. Lima and T. Tang

Conference Proceedings

  1. Li Yuan and T. Tang, A comparison of high resolution schemes for hyperbolic chemically reacting flows, Proceedings of the International Conference on Scientific Computing and Partial Differential Equations (Wenbin Liu, Michael Ng, and Zhong-Ci Shi, eds.), vol. 200, Science Press, Beijing, 2007, pp. 142-154.
  2. Tang, Moving mesh methods for computational fluid dynamics, Recent Advances in Adaptive Computation (Z. Shi, Z. Chen, T. Tang, and D. Yu, eds.), Contemporary Mathematics, vol. 383, American Mathematical Society, 2005, Proceedings of the International Conference on Recent Advances in Adaptive Computation, May 2004, Hangzhou, China, pp. 141-173. (pdf)
  3. P. Ma, W. W. Sun, and T. Tang, Time-dependent hermite spectral methods for convection-diffusion equations in unbounded domains, Advances in Scientific Computing and Applications (Beijing/New York) (Y. Lu, W. Sun, and T. Tang, eds.), Science Press, 2004, pp. 303-313.
  4. Z. Tang and T. Tang, Multi-dimensional moving mesh methods for shock computations, Proceedings of the International Conference on Scientific Computing and Partial Differential Equations, 2002 (S. Y. Cheng, C. W. Shu, and T. Tang, eds.), American Mathematical Society, 2003, pp. 169-183. (pdf)
  5. Tang and H. Z. Tang, A moving mesh algorithm for one-dimensional nonlinear hyperbolic conservation laws, Proceedings of The 5th China-Japan Seminar on Numerical Mathematics (in Shanghai, China, 2000) (Z.-C. Shi and Hideo Kawarada, eds.), Science Press, Beijing, NewYork, 2002, pp. 94-106.
  • 2024: Vice President of Chinese Mathematical Society (CMS)
  • 2023: Fellow of The World Academy of Sciences (TWAS)
  • 2022: Fellow of European Academy of Sciences
  • 2018: Invited Speaker of International Congress of Mathematicians (ICM)
  • 2017: Member of Chinese Academy of Sciences
  • 2017: Fellow of American Mathematical Society (AMS)
  • 2016: Second Prize of 2016 National Natural Science Award
  • 2012: Fellow of Society for Industrial and Applied Mathematics (SIAM)
  • 2008-2012: President, Hong Kong Mathematical Society
  • 2007: First Prize in Natural Science Awards by Ministry of Education
  • 2007: National Nature Science Fund for Distinguished Young Scholars
  • 2005: Changjiang Chair Professor, the Ministry of Education, China
  • 2003: Feng Kang Prize for Scientific Computing
  • 1988: Leslie Fox Prize for Numerical Analysis