Tao Tang
Orcid: 0000-0003-2919-2774Affiliations:
- 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 51 papers
between 2000 and 2024.
Collaborative distances:
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Bibliography
2024
A class of refined implicit-explicit Runge-Kutta methods with robust time adaptability and unconditional convergence for the Cahn-Hilliard model.
CoRR, 2024
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
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
J. Sci. Comput., 2019
2017
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
Characterizing the Stabilization Size for Semi-Implicit Fourier-Spectral Method to Phase Field Equations.
SIAM J. Numer. Anal., 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
Error Analysis of a Mixed Finite Element Method for the Molecular Beam Epitaxy Model.
SIAM J. Numer. Anal., 2015
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
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
J. Sci. Comput., 2012
Convergence Analysis of Spectral Galerkin Methods for Volterra Type Integral Equations.
J. Sci. Comput., 2012
2011
SIAM J. Sci. Comput., 2011
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
J. Comput. Phys., 2008
2007
Level Set Calculations for Incompressible Two-Phase Flows on a Dynamically Adaptive Grid.
J. Sci. Comput., 2007
J. Comput. Phys., 2007
2006
Moving Mesh Methods for Singular Problems on a Sphere Using Perturbed Harmonic Mappings.
SIAM J. Sci. Comput., 2006
SIAM J. Numer. Anal., 2006
J. Sci. Comput., 2006
2005
SIAM J. Sci. Comput., 2005
Hermite Spectral Methods with a Time-Dependent Scaling for Parabolic Equations in Unbounded Domains.
SIAM J. Numer. Anal., 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
Math. Comput., 2004
2003
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
Math. Comput., 2002
2001
A Compact Fourth-Order Finite Difference Scheme for Unsteady Viscous Incompressible Flows.
J. Sci. Comput., 2001
2000
On the Regularity of Approximate Solutions to Conservation Laws with Piecewise Smooth Solutions.
SIAM J. Numer. Anal., 2000
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