Tao Tang

Publication Activity (10 Years)

Years Active: 2000-2022
Publications (10 Years): 16

Top Topics

Gradient Projection Method

Optimal Control Problems

Top Venues

SIAM J. Numer. Anal.

SIAM J. Sci. Comput.

J. Sci. Comput.

Publications

Hong-lin Liao, Tao Tang, Tao Zhou
Discrete energy analysis of the third-order variable-step BDF time-stepping for diffusion equations. CoRR (2022)
Hong-lin Liao, Tao Tang, Tao Zhou
An Energy Stable and Maximum Bound Preserving Scheme with Variable Time Steps for Time Fractional Allen-Cahn Equation. SIAM J. Sci. Comput. 43 (5) (2021)
Hong-Lin Liao, Tao Tang, Tao Zhou
A new discrete energy technique for multi-step backward difference formulas. CoRR (2021)
Hong-lin Liao, Tao Tang, Tao Zhou
On Energy Stable, Maximum-Principle Preserving, Second-Order BDF Scheme with Variable Steps for the Allen-Cahn Equation. SIAM J. Numer. Anal. 58 (4) (2020)
Hong-lin Liao, Tao Tang, Tao Zhou
Positive definiteness of real quadratic forms resulting from the variable-step approximation of convolution operators. CoRR (2020)
Hong-lin Liao, Xuehua Song, Tao Tang, Tao Zhou
Analysis of the second order BDF scheme with variable steps for the molecular beam epitaxial model without slope selection. CoRR (2020)
Hong-lin Liao, Tao Tang, Tao Zhou
A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations. J. Comput. Phys. 414 (2020)
Tao Tang, Li-Lian Wang, Huifang Yuan, Tao Zhou
Rational Spectral Methods for PDEs Involving Fractional Laplacian in Unbounded Domains. SIAM J. Sci. Comput. 42 (2) (2020)
Hong-lin Liao, Tao Tang, Tao Zhou
On energy stable, maximum-principle preserving, second order BDF scheme with variable steps for the Allen-Cahn equation. CoRR (2020)
Hong-lin Liao, Tao Tang, Tao Zhou
An energy stable and maximum bound preserving scheme with variable time steps for time fractional Allen-Cahn equation. CoRR (2020)
Changtao Sheng, Jie Shen, Tao Tang, Li-Lian Wang, Huifang Yuan
Fast Fourier-like Mapped Chebyshev Spectral-Galerkin Methods for PDEs with Integral Fractional Laplacian in Unbounded Domains. SIAM J. Numer. Anal. 58 (5) (2020)
Hong-lin Liao, Tao Tang, Tao Zhou
A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations. CoRR (2019)
Tao Tang, Haijun Yu, Tao Zhou
On Energy Dissipation Theory and Numerical Stability for Time-Fractional Phase-Field Equations. SIAM J. Sci. Comput. 41 (6) (2019)
Zhiwei Fang, Jichun Li, Tao Tang, Tao Zhou
Efficient Stochastic Galerkin Methods for Maxwell's Equations with Random Inputs. J. Sci. Comput. 80 (1) (2019)
Changtao Sheng, Jie Shen, Tao Tang, Li-Lian Wang, Huifang Yuan
Fast Fourier-like Mapped Chebyshev Spectral-Galerkin Methods for PDEs with Integral Fractional Laplacian in Unbounded Domains. CoRR (2019)
Bo Gong, Wenbin Liu, Tao Tang, Weidong Zhao, Tao Zhou
An Efficient Gradient Projection Method for Stochastic Optimal Control Problems. SIAM J. Numer. Anal. 55 (6) (2017)
Hao Dong, Zhonghua Qiao, Shuyu Sun, Tao Tang
Adaptive moving grid methods for two-phase flow in porous media. J. Comput. Appl. Math. 265 (2014)
Tao Tang, Tao Zhou
On Discrete Least-Squares Projection in Unbounded Domain with Random Evaluations and its Application to Parametric Uncertainty Quantification. SIAM J. Sci. Comput. 36 (5) (2014)
Xianjuan Li, Tao Tang, Chuanju Xu
Parallel in Time Algorithm with Spectral-Subdomain Enhancement for Volterra Integral Equations. SIAM J. Numer. Anal. 51 (3) (2013)
Tao Tang, Hehu Xie, Xiaobo Yin
High-Order Convergence of Spectral Deferred Correction Methods on General Quadrature Nodes. J. Sci. Comput. 56 (1) (2013)
Tao Zhou, Tao Tang
Galerkin Methods for Stochastic Hyperbolic Problems Using Bi-Orthogonal Polynomials. J. Sci. Comput. 51 (2) (2012)
Ziqing Xie, Xianjuan Li, Tao Tang
Convergence Analysis of Spectral Galerkin Methods for Volterra Type Integral Equations. J. Sci. Comput. 53 (2) (2012)
Zhonghua Qiao, Zhengru Zhang, Tao Tang
An Adaptive Time-Stepping Strategy for the Molecular Beam Epitaxy Models. SIAM J. Sci. Comput. 33 (3) (2011)
Fei Teng, Li Yuan, Tao Tang
A Speed-Up Strategy for Finite Volume WENO Schemes for Hyperbolic Conservation Laws. J. Sci. Comput. 46 (3) (2011)
Guanghui Hu, Ruo Li, Tao Tang
A robust high-order residual distribution type scheme for steady Euler equations on unstructured grids. J. Comput. Phys. 229 (5) (2010)
Tao Zhou, Tao Tang
Note on coefficient matrices from stochastic Galerkin methods for random diffusion equations. J. Comput. Phys. 229 (22) (2010)
Yanping Chen, Tao Tang
Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel. Math. Comput. 79 (269) (2010)
Yanping Chen, Tao Tang
Spectral methods for weakly singular Volterra integral equations with smooth solutions. J. Comput. Appl. Math. 233 (4) (2009)
Heyu Wang, Ruo Li, Tao Tang
Efficient computation of dendritic growth with r-adaptive finite element methods. J. Comput. Phys. 227 (12) (2008)
Yana Di, Ruo Li, Tao Tang, Pingwen Zhang
Level Set Calculations for Incompressible Two-Phase Flows on a Dynamically Adaptive Grid. J. Sci. Comput. 31 (1-2) (2007)
Li Yuan, Tao Tang
Resolving the shock-induced combustion by an adaptive mesh redistribution method. J. Comput. Phys. 224 (2) (2007)
Ruo Li, Tao Tang
Moving Mesh Discontinuous Galerkin Method for Hyperbolic Conservation Laws. J. Sci. Comput. 27 (1-3) (2006)
Chuanju Xu, Tao Tang
Stability Analysis of Large Time-Stepping Methods for Epitaxial Growth Models. SIAM J. Numer. Anal. 44 (4) (2006)
Yana Di, Ruo Li, Tao Tang, Pingwen Zhang
Moving Mesh Methods for Singular Problems on a Sphere Using Perturbed Harmonic Mappings. SIAM J. Sci. Comput. 28 (4) (2006)
Heping Ma, Weiwei Sun, Tao Tang
Hermite Spectral Methods with a Time-Dependent Scaling for Parabolic Equations in Unbounded Domains. SIAM J. Numer. Anal. 43 (1) (2005)
Yana Di, Ruo Li, Tao Tang, Pingwen Zhang
Moving Mesh Finite Element Methods for the Incompressible Navier-Stokes Equations. SIAM J. Sci. Comput. 26 (3) (2005)
Tao Tang, Andy J. Wathen
Preface. J. Sci. Comput. 24 (2) (2005)
Wenbin Liu, Heping Ma, Tao Tang, Ningning Yan
A Posteriori Error Estimates for Discontinuous Galerkin Time-Stepping Method for Optimal Control Problems Governed by Parabolic Equations. SIAM J. Numer. Anal. 42 (3) (2004)
Yunqing Huang, Zhongci Shi, Tao Tang, Weimin Xue
A multilevel successive iteration method for nonlinear elliptic problems. Math. Comput. 73 (246) (2004)
Tao Tang, Zhen-huan Teng, Zhouping Xin
Fractional Rate of Convergence for Viscous Approximation to Nonconvex Conservation Laws. SIAM J. Math. Anal. 35 (1) (2003)
Huazhong Tang, Tao Tang
Adaptive Mesh Methods for One- and Two-Dimensional Hyperbolic Conservation Laws. SIAM J. Numer. Anal. 41 (2) (2003)
Johnson C. M. Fok, Benyu Guo, Tao Tang
Combined Hermite spectral-finite difference method for the Fokker-Planck equation. Math. Comput. 71 (240) (2002)
Ruo Li, Wenbin Liu, Heping Ma, Tao Tang
Adaptive Finite Element Approximation for Distributed Elliptic Optimal Control Problems. SIAM J. Control. Optim. 41 (5) (2002)
Wenbin Liu, Heping Ma, Tao Tang
On Mixed Error Estimates for Elliptic Obstacle Problems. Adv. Comput. Math. 15 (1-4) (2001)
Ming Li, Tao Tang
A Compact Fourth-Order Finite Difference Scheme for Unsteady Viscous Incompressible Flows. J. Sci. Comput. 16 (1) (2001)
Tao Tang, Zhen-huan Teng
On the Regularity of Approximate Solutions to Conservation Laws with Piecewise Smooth Solutions. SIAM J. Numer. Anal. 38 (5) (2000)
Eitan Tadmor, Tao Tang
Pointwise Error Estimates for Relaxation Approximations to Conservation Laws. SIAM J. Math. Anal. 32 (4) (2000)
Tao Tang, Jinghua Wang
Convergence of MUSCL Relaxing Schemes to the Relaxed Schemes for Conservation Laws with Stiff Source Terms. J. Sci. Comput. 15 (2) (2000)