Convergence of MUSCL Relaxing Schemes to the Relaxed Schemes for Conservation Laws with Stiff Source Terms. - Tao Tang 003; Jinghua Wang (J. Sci. Comput., 2000)

Pointwise Error Estimates for Relaxation Approximations to Conservation Laws. - Eitan Tadmor; Tao Tang 003 (SIAM J. Math. Anal., 2000)

On the Regularity of Approximate Solutions to Conservation Laws with Piecewise Smooth Solutions. - Tao Tang 003; Zhen-Huan Teng (SIAM J. Numer. Anal., 2000)

On Mixed Error Estimates for Elliptic Obstacle Problems. - Wenbin Liu; Heping Ma; Tao Tang 003 (Adv. Comput. Math., 2001)

A Compact Fourth-Order Finite Difference Scheme for Unsteady Viscous Incompressible Flows. - Ming Li 023; Tao Tang 003 (J. Sci. Comput., 2001)

Combined Hermite spectral-finite difference method for the Fokker-Planck equation. - Johnson C. M. Fok; Benyu Guo; Tao Tang 003 (Math. Comput., 2002)

Adaptive Finite Element Approximation for Distributed Elliptic Optimal Control Problems. - Ruo Li; Wenbin Liu; Heping Ma; Tao Tang 003 (SIAM J. Control. Optim., 2002)

Fractional Rate of Convergence for Viscous Approximation to Nonconvex Conservation Laws. - Tao Tang 003; Zhen-Huan Teng; Zhouping Xin (SIAM J. Math. Anal., 2003)

Adaptive Mesh Methods for One- and Two-Dimensional Hyperbolic Conservation Laws. - Huazhong Tang; Tao Tang 003 (SIAM J. Numer. Anal., 2003)

A multilevel successive iteration method for nonlinear elliptic problems. - Yunqing Huang; Zhongci Shi; Tao Tang 003; Weimin Xue (Math. Comput., 2004)

A Posteriori Error Estimates for Discontinuous Galerkin Time-Stepping Method for Optimal Control Problems Governed by Parabolic Equations. - Wenbin Liu; Heping Ma; Tao Tang 003; Ningning Yan (SIAM J. Numer. Anal., 2004)

Preface. - Tao Tang 003; Andy J. Wathen (J. Sci. Comput., 2005)

Hermite Spectral Methods with a Time-Dependent Scaling for Parabolic Equations in Unbounded Domains. - Heping Ma; Weiwei Sun 002; Tao Tang 003 (SIAM J. Numer. Anal., 2005)

Moving Mesh Finite Element Methods for the Incompressible Navier-Stokes Equations. - Yana Di; Ruo Li; Tao Tang 003; Pingwen Zhang (SIAM J. Sci. Comput., 2005)

Moving Mesh Discontinuous Galerkin Method for Hyperbolic Conservation Laws. - Ruo Li; Tao Tang 003 (J. Sci. Comput., 2006)

Stability Analysis of Large Time-Stepping Methods for Epitaxial Growth Models. - Chuanju Xu; Tao Tang 003 (SIAM J. Numer. Anal., 2006)

Moving Mesh Methods for Singular Problems on a Sphere Using Perturbed Harmonic Mappings. - Yana Di; Ruo Li; Tao Tang 003; Pingwen Zhang (SIAM J. Sci. Comput., 2006)

Resolving the shock-induced combustion by an adaptive mesh redistribution method. - Li Yuan; Tao Tang 003 (J. Comput. Phys., 2007)

Level Set Calculations for Incompressible Two-Phase Flows on a Dynamically Adaptive Grid. - Yana Di; Ruo Li; Tao Tang 003; Pingwen Zhang (J. Sci. Comput., 2007)

Efficient computation of dendritic growth with r-adaptive finite element methods. - Heyu Wang; Ruo Li; Tao Tang 003 (J. Comput. Phys., 2008)

Spectral methods for weakly singular Volterra integral equations with smooth solutions. - Yanping Chen 002; Tao Tang 003 (J. Comput. Appl. Math., 2009)

A robust high-order residual distribution type scheme for steady Euler equations on unstructured grids. - Guanghui Hu; Ruo Li; Tao Tang 003 (J. Comput. Phys., 2010)

Note on coefficient matrices from stochastic Galerkin methods for random diffusion equations. - Tao Zhou 010; Tao Tang 003 (J. Comput. Phys., 2010)

Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel. - Yanping Chen 002; Tao Tang 003 (Math. Comput., 2010)

A Speed-Up Strategy for Finite Volume WENO Schemes for Hyperbolic Conservation Laws. - Fei Teng; Li Yuan; Tao Tang 003 (J. Sci. Comput., 2011)

An Adaptive Time-Stepping Strategy for the Molecular Beam Epitaxy Models. - Zhonghua Qiao; Zhengru Zhang; Tao Tang 003 (SIAM J. Sci. Comput., 2011)

Convergence Analysis of Spectral Galerkin Methods for Volterra Type Integral Equations. - Ziqing Xie; Xianjuan Li; Tao Tang 003 (J. Sci. Comput., 2012)

Galerkin Methods for Stochastic Hyperbolic Problems Using Bi-Orthogonal Polynomials. - Tao Zhou 010; Tao Tang 003 (J. Sci. Comput., 2012)

High-Order Convergence of Spectral Deferred Correction Methods on General Quadrature Nodes. - Tao Tang 003; Hehu Xie; Xiaobo Yin (J. Sci. Comput., 2013)

Parallel in Time Algorithm with Spectral-Subdomain Enhancement for Volterra Integral Equations. - Xianjuan Li; Tao Tang 003; Chuanju Xu (SIAM J. Numer. Anal., 2013)

Adaptive moving grid methods for two-phase flow in porous media. - Hao Dong; Zhonghua Qiao; Shuyu Sun 001; Tao Tang 003 (J. Comput. Appl. Math., 2014)

On Discrete Least-Squares Projection in Unbounded Domain with Random Evaluations and its Application to Parametric Uncertainty Quantification. - Tao Tang 003; Tao Zhou 010 (SIAM J. Sci. Comput., 2014)

Fast and stable explicit operator splitting methods for phase-field models. - Yuanzhen Cheng; Alexander Kurganov; Zhuolin Qu; Tao Tang 003 (J. Comput. Phys., 2015)

Error Analysis of a Mixed Finite Element Method for the Molecular Beam Epitaxy Model. - Zhonghua Qiao; Tao Tang 003; Hehu Xie (SIAM J. Numer. Anal., 2015)

Numerical Blow-Up of Nonlinear Parabolic Integro-Differential Equations on Unbounded Domain. - Hermann Brunner; Tao Tang 003; Jiwei Zhang 002 (J. Sci. Comput., 2016)

Numerical Solutions for Weakly Singular Volterra Integral Equations Using Chebyshev and Legendre Pseudo-Spectral Galerkin Methods. - Xianjuan Li; Tao Tang 003; Chuanju Xu (J. Sci. Comput., 2016)

Characterizing the Stabilization Size for Semi-Implicit Fourier-Spectral Method to Phase Field Equations. - Dong Li; Zhonghua Qiao; Tao Tang 003 (SIAM J. Numer. Anal., 2016)

Numerical Analysis of Fully Discretized Crank-Nicolson Scheme for Fractional-in-Space Allen-Cahn Equations. - Tianliang Hou; Tao Tang 003; Jiang Yang (J. Sci. Comput., 2017)

An Efficient Gradient Projection Method for Stochastic Optimal Control Problems. - Bo Gong; Wenbin Liu; Tao Tang 003; Weidong Zhao; Tao Zhou 010 (SIAM J. Numer. Anal., 2017)

Efficient Stochastic Galerkin Methods for Maxwell's Equations with Random Inputs. - Zhiwei Fang; Jichun Li 001; Tao Tang 003; Tao Zhou 010 (J. Sci. Comput., 2019)

On Energy Dissipation Theory and Numerical Stability for Time-Fractional Phase-Field Equations. - Tao Tang 003; Haijun Yu; Tao Zhou 010 (SIAM J. Sci. Comput., 2019)

Analysis of the second order BDF scheme with variable steps for the molecular beam epitaxial model without slope selection. - Hong-lin Liao; Xuehua Song; Tao Tang 003; Tao Zhou 010 (CoRR, 2020)

Positive definiteness of real quadratic forms resulting from the variable-step approximation of convolution operators. - Hong-lin Liao; Tao Tang 003; Tao Zhou 010 (CoRR, 2020)

A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations. - Hong-lin Liao; Tao Tang 003; Tao Zhou 010 (J. Comput. Phys., 2020)

On Energy Stable, Maximum-Principle Preserving, Second-Order BDF Scheme with Variable Steps for the Allen-Cahn Equation. - Hong-lin Liao; Tao Tang 003; Tao Zhou 010 (SIAM J. Numer. Anal., 2020)

Fast Fourier-like Mapped Chebyshev Spectral-Galerkin Methods for PDEs with Integral Fractional Laplacian in Unbounded Domains. - Changtao Sheng; Jie Shen 001; Tao Tang 003; Li-Lian Wang; Huifang Yuan (SIAM J. Numer. Anal., 2020)

Rational Spectral Methods for PDEs Involving Fractional Laplacian in Unbounded Domains. - Tao Tang 003; Li-Lian Wang; Huifang Yuan; Tao Zhou 010 (SIAM J. Sci. Comput., 2020)

A new discrete energy technique for multi-step backward difference formulas. - Hong-Lin Liao; Tao Tang 003; Tao Zhou 010 (CoRR, 2021)

An Energy Stable and Maximum Bound Preserving Scheme with Variable Time Steps for Time Fractional Allen-Cahn Equation. - Hong-lin Liao; Tao Tang 003; Tao Zhou 010 (SIAM J. Sci. Comput., 2021)

Discrete energy analysis of the third-order variable-step BDF time-stepping for diffusion equations. - Hong-lin Liao; Tao Tang 003; Tao Zhou 010 (CoRR, 2022)

A class of refined implicit-explicit Runge-Kutta methods with robust time adaptability and unconditional convergence for the Cahn-Hilliard model. - Hong-lin Liao; Tao Tang 003; Xuping Wang; Tao Zhou 010 (CoRR, 2024)