Tao Tang

Orcid: 0000-0003-2919-2774

Affiliations:
  • Southern University of Science and Technology, Shenzhen, China
  • Hong Kong Baptist University, Department of Mathematics, Hong Kong (former)


According to our database1, Tao Tang authored at least 48 papers between 2000 and 2022.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

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Bibliography

2022
Discrete energy analysis of the third-order variable-step BDF time-stepping for diffusion equations.
CoRR, 2022

2021
An Energy Stable and Maximum Bound Preserving Scheme with Variable Time Steps for Time Fractional Allen-Cahn Equation.
SIAM J. Sci. Comput., 2021

A new discrete energy technique for multi-step backward difference formulas.
CoRR, 2021

2020
Rational Spectral Methods for PDEs Involving Fractional Laplacian in Unbounded Domains.
SIAM J. Sci. Comput., 2020

Fast Fourier-like Mapped Chebyshev Spectral-Galerkin Methods for PDEs with Integral Fractional Laplacian in Unbounded Domains.
SIAM J. Numer. Anal., 2020

On Energy Stable, Maximum-Principle Preserving, Second-Order BDF Scheme with Variable Steps for the Allen-Cahn Equation.
SIAM J. Numer. Anal., 2020

A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations.
J. Comput. Phys., 2020

Positive definiteness of real quadratic forms resulting from the variable-step approximation of convolution operators.
CoRR, 2020

Analysis of the second order BDF scheme with variable steps for the molecular beam epitaxial model without slope selection.
CoRR, 2020

2019
On Energy Dissipation Theory and Numerical Stability for Time-Fractional Phase-Field Equations.
SIAM J. Sci. Comput., 2019

Efficient Stochastic Galerkin Methods for Maxwell's Equations with Random Inputs.
J. Sci. Comput., 2019

2017
An Efficient Gradient Projection Method for Stochastic Optimal Control Problems.
SIAM J. Numer. Anal., 2017

Numerical Analysis of Fully Discretized Crank-Nicolson Scheme for Fractional-in-Space Allen-Cahn Equations.
J. Sci. Comput., 2017

2016
Numerical Solutions for Weakly Singular Volterra Integral Equations Using Chebyshev and Legendre Pseudo-Spectral Galerkin Methods.
J. Sci. Comput., 2016

Numerical Blow-Up of Nonlinear Parabolic Integro-Differential Equations on Unbounded Domain.
J. Sci. Comput., 2016

2015
Fast and stable explicit operator splitting methods for phase-field models.
J. Comput. Phys., 2015

2014
On Discrete Least-Squares Projection in Unbounded Domain with Random Evaluations and its Application to Parametric Uncertainty Quantification.
SIAM J. Sci. Comput., 2014

Adaptive moving grid methods for two-phase flow in porous media.
J. Comput. Appl. Math., 2014

2013
Parallel in Time Algorithm with Spectral-Subdomain Enhancement for Volterra Integral Equations.
SIAM J. Numer. Anal., 2013

High-Order Convergence of Spectral Deferred Correction Methods on General Quadrature Nodes.
J. Sci. Comput., 2013

2012
Galerkin Methods for Stochastic Hyperbolic Problems Using Bi-Orthogonal Polynomials.
J. Sci. Comput., 2012

Convergence Analysis of Spectral Galerkin Methods for Volterra Type Integral Equations.
J. Sci. Comput., 2012

2011
An Adaptive Time-Stepping Strategy for the Molecular Beam Epitaxy Models.
SIAM J. Sci. Comput., 2011

A Speed-Up Strategy for Finite Volume WENO Schemes for Hyperbolic Conservation Laws.
J. Sci. Comput., 2011

2010
Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel.
Math. Comput., 2010

Note on coefficient matrices from stochastic Galerkin methods for random diffusion equations.
J. Comput. Phys., 2010

A robust high-order residual distribution type scheme for steady Euler equations on unstructured grids.
J. Comput. Phys., 2010

2009
Spectral methods for weakly singular Volterra integral equations with smooth solutions.
J. Comput. Appl. Math., 2009

2008
Efficient computation of dendritic growth with r-adaptive finite element methods.
J. Comput. Phys., 2008

2007
Level Set Calculations for Incompressible Two-Phase Flows on a Dynamically Adaptive Grid.
J. Sci. Comput., 2007

Resolving the shock-induced combustion by an adaptive mesh redistribution method.
J. Comput. Phys., 2007

2006
Moving Mesh Methods for Singular Problems on a Sphere Using Perturbed Harmonic Mappings.
SIAM J. Sci. Comput., 2006

Stability Analysis of Large Time-Stepping Methods for Epitaxial Growth Models.
SIAM J. Numer. Anal., 2006

Moving Mesh Discontinuous Galerkin Method for Hyperbolic Conservation Laws.
J. Sci. Comput., 2006

2005
Moving Mesh Finite Element Methods for the Incompressible Navier-Stokes Equations.
SIAM J. Sci. Comput., 2005

Hermite Spectral Methods with a Time-Dependent Scaling for Parabolic Equations in Unbounded Domains.
SIAM J. Numer. Anal., 2005

Preface.
J. Sci. Comput., 2005

2004
A Posteriori Error Estimates for Discontinuous Galerkin Time-Stepping Method for Optimal Control Problems Governed by Parabolic Equations.
SIAM J. Numer. Anal., 2004

A multilevel successive iteration method for nonlinear elliptic problems.
Math. Comput., 2004

2003
Adaptive Mesh Methods for One- and Two-Dimensional Hyperbolic Conservation Laws.
SIAM J. Numer. Anal., 2003

Fractional Rate of Convergence for Viscous Approximation to Nonconvex Conservation Laws.
SIAM J. Math. Anal., 2003

2002
Adaptive Finite Element Approximation for Distributed Elliptic Optimal Control Problems.
SIAM J. Control. Optim., 2002

Combined Hermite spectral-finite difference method for the Fokker-Planck equation.
Math. Comput., 2002

2001
A Compact Fourth-Order Finite Difference Scheme for Unsteady Viscous Incompressible Flows.
J. Sci. Comput., 2001

On Mixed Error Estimates for Elliptic Obstacle Problems.
Adv. Comput. Math., 2001

2000
On the Regularity of Approximate Solutions to Conservation Laws with Piecewise Smooth Solutions.
SIAM J. Numer. Anal., 2000

Pointwise Error Estimates for Relaxation Approximations to Conservation Laws.
SIAM J. Math. Anal., 2000

Convergence of MUSCL Relaxing Schemes to the Relaxed Schemes for Conservation Laws with Stiff Source Terms.
J. Sci. Comput., 2000


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