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教研序列

详细信息

周涛

周涛

访问副教授
tzhou@lsec.cc.ac.cn

研究方向

不确定性量化，数值分析

Editorial Board and Awards:

◆ Outstanding Youth Science Foundation by NSFC, 2018. (国家自然科学基金委--优秀青年科学基金)

◆ Member of Youth Innovation Promotion Association by CAS, 2018. (中科院青年创新促进会会员)

◆ Top 10 Scientific Research Achievement by AMSS, 2017. (十大科研进展)

◆ Chen Jingrun Future Star by AMSS, 2017. (陈景润未来之星)

◆ Excellent Young Scholar Prize by CSIAM, 2016. (中国工业与应用数学学会优秀青年学者奖)

◆ Associate Editor: Commun. Comput. Phys. (CUP, IF: 1.732)

◆ Associate Editor: Int. J. Uncertainty Quantification. (Begellhouse, IF: 1.000)

◆ Associate Editor: Numer. Math: Theor. Meth. Appl. (CUP, IF: 0.695)

◆ Managing Editor: East. Asian J. Appl. Math. (CUP, IF: 0.680)

Employment:

◆ Mar.2017 -- Now, Associate professor, Institute of Computational Mathematics and Scientific/Engineering Computing , Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing, China.

◆ Jul.2011-- Mar.2017, Assistant professor, Institute of Computational Mathematics and Scientific/Engineering Computing , Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing, China.

◆ Sep.2011-Sep.2012, Postdoc research fellow, CSQI, Department of Mathematics, Ecole Polytechnique Fédérale de Lausanne ( EPFL), Switzerland.

Grants:

◆ Jan.2012-Dec.2015, High-performance numerical algorithms for stochastic differential equations and their applications, NSFC, No.91130003 (Co-PI, RMB 4 Million 重大研究计划重点项目)

◆ Jan.2013-Dec.2015, Numerical methods for non-linear hyperbolic equations with random parameters, NSFC, No.11201461 (PI, RMB 220, 000, 青年基金)

◆ Jan.2016-Dec.2016, Muti-symplectic methods and uncertainty quantification for SPDEs, NSFC, No.91530118 (Co-PI, RMB 1 Million, 重大研究计划重点项目延续).

◆ Jan.2016-Dec.2019, Efficient stochastic collocation methods with applications to uncertainty quantification NSFC, No.11571351 (PI, RMB 532,000, 面上基金).

◆ Jan.2017-Dec.2019, Efficient numerical methods for stochastic Hamiltonian PDEs, NSFC, No.91630312 (Co-PI, RMB 3 Million, 重大研究计划集成项目).

◆ Jan.2017-Dec.2019, Theory and algorithms for the recovery of signals using incomplete measurements, NSFC, No.91630203 (Co-PI, RMB 2 Million, 重大研究计划重点项目).

◆ Jan.2018-Dec.2022, High order methods for UQ with applications to environement sciences, NSFC, No. 11731006 (Co-PI, RMB 2.8 Million, 重点项目).

◆ Jan.2018-Dec.2021, Science challenge project by COSTIND, No. TZ2018001 (RMB 20 Million, 国防科工委挑战计划, UQ方向首席科学家).

◆ Jan.2018-Dec.2022, The national key basic research program, No. 2018YFB0704304 (Co-PI, 科技部国家重点研发计划).

◆ Jan.2019-Dec.2021, Uncertainty quantification, NSFC, No. 11822111 (PI, RMB 1.5 Million, 优秀青年科学基金).

Publication：

  • 41, Tao Tang, Haijun Yu and Tao Zhou, On energy dissipation theory and numerical stability for time-fractional phase field equations, to appear in SIAM J. Sci. Comput., 2019.
  • 40, Ling Guo, Akil Narayan, and Tao Zhou, Constructing least-squares polynomial approximations, to appear in SIAM Review, 2019.
  • 39, Shulin Wu and Tao Zhou, Acceleration of the MGRiT algorithm via the diagonalization technique, to appear in SIAM J. Sci. Comput., 2019.
  • 38, Zhiwei Feng, Jichun Li, Tao Tang and Tao Zhou, Efficient stochastic Galerkin methods for Maxwell's equations with random input, J. Sci. Comput., 80:248-267, 2019.
  • 37, Liang Yan and Tao Zhou, Adaptive multi-fidelity polynomial chaos approach to Bayesian inference in inverse problems, J. Comput. Phys., 381: 129-145, 2019.
  • 36, Ling Guo, Yongle Liu, and Tao Zhou, Data-driven polynomial chaos expansions: a weighted least-squares approximation, J. Comput. Phys., 381:110-128, 2019.
  • 35, Jie Yang, Weidong Zhao and Tao Zhou, Explicit deferred correction methods for second order FBSDEs, J. Sci. Comput., 79:1409-1432, 2019.
  • 34, Liang Yan and Tao Zhou, An adaptive multi-fidelity PC-based ensemble Kalman inversion for inverse problems, Int. J. Uncertaitny Quantif., 9(3):205-220, 2019.
  • 33, Yabing Sun, Weidong Zhao, and Tao Zhou, An explicit \theta-scheme for mean field forward backward stochastic differential equations, SIAM J. Numer. Anal., 56(4), 2672–2697, 2018.
  • 32, Ling Guo, Akil Narayan, and Tao Zhou, A gradient enhanced L_1 mininization for sparse approximation of polynomial chaos expansions, J. Comput. Phys., 367:49-64, 2018
  • 31, Shulin Wu, Hui Zhang, and Tao Zhou, Solving time periodic fractional diffusion equations via diagonalization technique and multigrid, Numer. Linear Algebra Appl., 25(5), e2178, 2018.
  • 30, Shulin Wu and Tao Zhou, Parareal algorithms with local time-integrators for time fractional differential equations, J. Comput. Phys., 358:135-149, 2018.
  • 29, Zhiqiang Xu and Tao Zhou, A gradient enhanced L_1 approach for the recovery of sparse trigonometric polynomials, Commun. Comput. Phys., 24 (2018), pp. 286-308.
  • 28, Ling Guo, Akil Narayan, Liang Yan, and Tao Zhou, Weighted approximate Fekete points: sampling for least-squares polynomial approximation, SIAM J. Sci. Comput., 40(1), A366–A387, 2018.
  • 27, Tao Tang, Huifang Yuan, and Tao Zhou, Hermite spectral collocation methods for fractional PDEs in unbounded domain, Commun. Comput. Phys., 24(2018), pp. 1143-1168.
  • 26, Bo Gong, Wenbin Liu, Tao Tang, Weidong Zhao, and Tao Zhou, An efficient gradient projection methods for stochastic optimal control problems, SIAM J. Numer. Anal., 55(6), 2982–3005, 2017.
  • 25, Yu Fu, Weidong Zhao and Tao Zhou, Efficient sparse grid approximations for multi-dimensional coupled forward backward stochastic differential equations, DCDS-B, 22(9), pp. 3439-3458, 2017.
  • 24, John Jakeman, Akil Narayan, and Tao Zhou, A generalized sampling and preconditioner scheme for sparse approximation of polynomial chaos expansions, SIAM J. Sci. Comput., 39-3, pp. A 1114 -1144, 2017.
  • 23, Tao Tang, Weidong Zhao, and Tao Zhou, Deferred correction methods for forward backward stochastic differential equations, Numer. Math. Theor. Meth. Appl., 10(2), pp. 222-242, 2017.
  • 22, Akil Narayan, John Jakeman, and Tao Zhou, A Christoffel function weighted least squares algorithm for collocation approximations, Math. Comput., (86)2017, pp.1913-1947.
  • 21, Ling Guo, Akil Narayan, Tao Zhou, and Yuhang Chen, Stochastic collocation methods via L_1 minimization using randomized quadratures, SIAM J. Sci. Comput., 39-1, pp. A333-A359, 2017.
  • 20, Shulin Wu and Tao Zhou, Fast parareal iterations for fractional diffusion equations, J. Comput. Phys., 329:210-226, 2017.
  • 19, Tao Kong, Weidong Zhao, and Tao Zhou, High order numerical schemes for second order FBSDEs with applications to stochastic optimal control, Commun. Comput. Phys., (21)2017, pp. 808-834.
  • 18, Yu Fu, Weidong Zhao, and Tao Zhou, Multistep schemes for forward backward stochastic differential equations with jumps, J. Sci. Comput., Volume 69, Issue 2, pp 651–672, 2016.
  • 17, Hehu Xie and Tao Zhou, A multilevel finite element method for Fredholm integral eigenvalue problems, J. Comput. Phys., 303(2015), pp. 173-184.
  • 16, Tao Kong, Weidong Zhao, and Tao Zhou, Probabilistic high order numerical schemes for fully nonlinear parabolic PDEs, Commun. Comput. Phys., (18)2015, pp. 1482-1503.
  • 15, Eleonora Musharbash, Fabio Nobile and Tao Zhou, Error analysis of the dynamically orthogonal approximation of time dependent random PDEs, SIAM J. Sci. Comput., 37-2, pp. A776–A810, 2015.
  • 14, Akil Narayan and Tao Zhou, Stochastic collocation methods on unstructured meshes, Commun. Comput. Phys., 18(2015), pp. 1-36.
  • 13, Tao Zhou, Akil Narayan, and Dongbin Xiu, Weighted discrete least-squares polynomial approximation using randomized quadratures, J. Comput. Phys., (298)2015, pp. 787-800.
  • 12, Shulin Wu and Tao Zhou, Convergence analysis for three parareal solvers, SIAM J. Sci. Comput. 37-2 (2015), pp. A970-A992.
  • 11, Tao Tang and Tao Zhou, Discrete least square projection in unbounded domain with random evaluations and its application to parametric uncertainty quantification, SIAM J. Sci. Comput., 36(5), pp. A2272–A2295, 2014.
  • 10, Zhiqiang Xu and Tao Zhou, On sparse interpolation and the design of deterministic interpolation points, SIAM J. Sci. Comput. 36-4 (2014), pp. A1752-A1769.
  • 9, Tao Zhou, Akil Narayan and Zhiqiang Xu, Multivariate discrete least-squares approximations with a new type of collocation grid, SIAM J. Sci. Comput., 36-5 (2014), pp. A2401–A2422.
  • 8, Weidong Zhao, Yu Fu and Tao Zhou, New kinds of high-order multi-step schemes for forward backward stochastic differential equations, SIAM J. Sci. Comput. 36-4 (2014), pp. A1731-A1751.
  • 7, Tao Zhou, A stochastic collocation method for delay differential equations with random input, Adv. Appl. Math. Mech., (6)2014, pp. 403-418,
  • 6, Zhen Gao and Tao Zhou, Choice of nodal sets for least square polynomial chaos method with application to uncertainty quantification, Commun. Comput. Phys., 16:365–381, 2014.
  • 5, Tao Zhou and Tao Tang, Galerkin methods for stochastic hyperbolic problems using bi-orthogonal polynomials, J. Sci. Comput. 51 (2012), pp.274-292.
  • 4, Tao Zhou and Tao Tang, Convergence analysis for spectral approximation to a scalar transport equation with a random wave speed, J. Comput. Math., 30 (2012), pp.643-656.
  • 3, Tao Zhou, Stochastic Galerkin methods for elliptic interface problems with random input, J. Comput. & App. Math., 236(2011) , pp.782-792.
  • 2, Tao Tang and Tao Zhou, Convergence analysis for stochastic collocation methods to scalar hyperbolic equations, Commun. Comput. Phys., 8(2010), pp.226-248.
  • 1, Tao Zhou and Tao Tang, Note on coefficient matrices from stochastic Galerkin methods for random diffusion equations, J. Comput. Phys., 229 (2010), pp.8225-8230.