Zhimin Zhang
Affiliations:- Wayne State University, Department of Mathematics, Detroit, MI, USA
- Beijing Computational Science Research Center, China
According to our database1,
Zhimin Zhang
authored at least 123 papers
between 2001 and 2023.
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Bibliography
2023
Mass- and energy-conserving Gauss collocation methods for the nonlinear Schrödinger equation with a wave operator.
Adv. Comput. Math., December, 2023
Optimal-Order Convergence of a Two-Step BDF Method for the Navier-Stokes Equations with H<sup>1</sup> Initial Data.
J. Sci. Comput., August, 2023
A Novel Spectral Approximation and Error Estimation for Transmission Eigenvalues in Spherical Domains.
J. Sci. Comput., August, 2023
2022
SIAM J. Numer. Anal., 2022
A $C^1$ Conforming Petrov-Galerkin Method for Convection-Diffusion Equations and Superconvergence Analysis over Rectangular Meshes.
SIAM J. Numer. Anal., 2022
A Posteriori Error Estimates of Spectral Approximations for Second Order Partial Differential Equations in Spherical Geometries.
J. Sci. Comput., 2022
Mesh-Robustness of an Energy Stable BDF2 Scheme with Variable Steps for the Cahn-Hilliard Model.
J. Sci. Comput., 2022
Sparse Spectral-Galerkin Method on An Arbitrary Tetrahedron Using Generalized Koornwinder Polynomials.
J. Sci. Comput., 2022
FE-holomorphic operator function method for nonlinear plate vibrations with elastically added masses.
J. Comput. Appl. Math., 2022
2021
Sharp error estimates of a spectral Galerkin method for a diffusion-reaction equation with integral fractional Laplacian on a disk.
Math. Comput., 2021
Finite Element Calculation of Photonic Band Structures for Frequency Dependent Materials.
J. Sci. Comput., 2021
Superconvergence Analysis of the Ultra-Weak Local Discontinuous Galerkin Method for One Dimensional Linear Fifth Order Equations.
J. Sci. Comput., 2021
A Novel Scheme to Capture the Initial Dramatic Evolutions of Nonlinear Subdiffusion Equations.
J. Sci. Comput., 2021
J. Sci. Comput., 2021
A Rational Approximation Scheme for Computing Mittag-Leffler Function with Discrete Elliptic Operator as Input.
J. Sci. Comput., 2021
J. Comput. Appl. Math., 2021
Sharp H1-norm error estimates of two time-stepping schemes for reaction-subdiffusion problems.
J. Comput. Appl. Math., 2021
H(curl<sup>2</sup>)-conforming quadrilateral spectral element method for quad-curl problems.
CoRR, 2021
A C<sup>1</sup>-conforming Petrov-Galerkin method for convection-diffusion equations and superconvergence ananlysis over rectangular meshes.
CoRR, 2021
Unconditionally optimal convergence of an energy-conserving and linearly implicit scheme for nonlinear wave equations.
CoRR, 2021
CoRR, 2021
Comput. Methods Appl. Math., 2021
A note on the immersed finite element basis functions for elliptic interface problems.
Appl. Math. Lett., 2021
A recovery-based linear C<sup>0</sup> finite element method for a fourth-order singularly perturbed Monge-Ampère equation.
Adv. Comput. Math., 2021
2020
Vector-Type Boundary Schemes for the Lattice Boltzmann Method Based on Vector-BGK Models.
SIAM J. Sci. Comput., 2020
SIAM J. Sci. Comput., 2020
A Spectrally Accurate Approximation to Subdiffusion Equations Using the Log Orthogonal Functions.
SIAM J. Sci. Comput., 2020
Spectral-Galerkin approximation and optimal error estimate for biharmonic eigenvalue problems in circular/spherical/elliptical domains.
Numer. Algorithms, 2020
Finite Element Methods Based on Two Families of Second-Order Numerical Formulas for the Fractional Cable Model with Smooth Solutions.
J. Sci. Comput., 2020
Superconvergence Error Estimate of a Finite Element Method on Nonuniform Time Meshes for Reaction-Subdiffusion Equations.
J. Sci. Comput., 2020
Second-order boundary schemes for the lattice Boltzmann method with general propagation.
J. Comput. Phys., 2020
J. Comput. Appl. Math., 2020
Local ultraconvergence of linear and bilinear finite element method for second order elliptic problems.
J. Comput. Appl. Math., 2020
Superconvergence analysis of linear FEM based on polynomial preserving recovery for Helmholtz equation with high wave number.
J. Comput. Appl. Math., 2020
Efficient shifted fractional trapezoidal rule for subdiffusion problems with nonsmooth solutions on uniform meshes.
CoRR, 2020
CoRR, 2020
A C<sup>1</sup> Petrov-Galerkin method and Gauss collocation method for 1D general elliptic problems and superconvergence.
CoRR, 2020
Seven-velocity three-dimensional vectorial lattice Boltzmann method including various types of approximations to the pressure and two-parameterized second-order boundary treatments.
Comput. Math. Appl., 2020
A locking-free weak Galerkin finite element method for Reissner-Mindlin plate on polygonal meshes.
Comput. Math. Appl., 2020
Appl. Math. Lett., 2020
Adv. Comput. Math., 2020
2019
<i>H</i>(curl<sup>2</sup>)-Conforming Finite Elements in 2 Dimensions and Applications to the Quad-Curl Problem.
SIAM J. Sci. Comput., 2019
SIAM J. Numer. Anal., 2019
Convergence Analysis of a Discontinuous Galerkin Method for Wave Equations in Second-Order Form.
SIAM J. Numer. Anal., 2019
J. Sci. Comput., 2019
Superconvergence Analysis and PPR Recovery of Arbitrary Order Edge Elements for Maxwell's Equations.
J. Sci. Comput., 2019
Linearized Galerkin FEMs for Nonlinear Time Fractional Parabolic Problems with Non-smooth Solutions in Time Direction.
J. Sci. Comput., 2019
Supercloseness of Linear DG-FEM and Its Superconvergence Based on the Polynomial Preserving Recovery for Helmholtz Equation.
J. Sci. Comput., 2019
Superconvergence Points for the Spectral Interpolation of Riesz Fractional Derivatives.
J. Sci. Comput., 2019
Finite element methods based on two families of novel second-order numerical formulas for the fractional Cable model.
CoRR, 2019
Two families of novel second-order fractional numerical formulas and their applications to fractional differential equations.
CoRR, 2019
2018
Superconvergence of Discontinuous Galerkin Method for Scalar Nonlinear Hyperbolic Equations.
SIAM J. Numer. Anal., 2018
Maximum-norms error estimates for high-order finite volume schemes over quadrilateral meshes.
Numerische Mathematik, 2018
Numerical solution to a linearized time fractional KdV equation on unbounded domains.
Math. Comput., 2018
Superconvergence Analysis of High-Order Rectangular Edge Elements for Time-Harmonic Maxwell's Equations.
J. Sci. Comput., 2018
J. Sci. Comput., 2018
Unconditionally Optimal Error Estimates of a Linearized Galerkin Method for Nonlinear Time Fractional Reaction-Subdiffusion Equations.
J. Sci. Comput., 2018
J. Sci. Comput., 2018
J. Sci. Comput., 2018
Correction to: Superconvergence of Immersed Finite Volume Methods for One-Dimensional Interface Problems.
J. Sci. Comput., 2018
Some Recent Developments in Superconvergence of Discontinuous Galerkin Methods for Time-Dependent Partial Differential Equations.
J. Sci. Comput., 2018
An Efficient Spectral-Galerkin Approximation and Error Analysis for Maxwell Transmission Eigenvalue Problems in Spherical Geometries.
J. Sci. Comput., 2018
The Numerical Computation of the Time Fractional Schrödinger Equation on an Unbounded Domain.
Comput. Methods Appl. Math., 2018
2017
Efficient Spectral and Spectral Element Methods for Eigenvalue Problems of Schrödinger Equations with an Inverse Square Potential.
SIAM J. Sci. Comput., 2017
Ultraconvergence of high order FEMs for elliptic problems with variable coefficients.
Numerische Mathematik, 2017
Mathematical and numerical analysis of the time-dependent Ginzburg-Landau equations in nonconvex polygons based on Hodge decomposition.
Math. Comput., 2017
2k superconvergence of Q<sub>k</sub> finite elements by anisotropic mesh approximation in weighted Sobolev spaces.
Math. Comput., 2017
Superconvergence of Local Discontinuous Galerkin Method for One-Dimensional Linear Schrödinger Equations.
J. Sci. Comput., 2017
Optimal Spectral Schemes Based on Generalized Prolate Spheroidal Wave Functions of Order -1.
J. Sci. Comput., 2017
J. Sci. Comput., 2017
Superconvergence of Immersed Finite Volume Methods for One-Dimensional Interface Problems.
J. Sci. Comput., 2017
Adv. Comput. Math., 2017
2016
Optimal Fractional Integration Preconditioning and Error Analysis of Fractional Collocation Method Using Nodal Generalized Jacobi Functions.
SIAM J. Numer. Anal., 2016
Ultraconvergence of Finite Element Method by Richardson Extrapolation for Elliptic Problems with Constant Coefficients.
SIAM J. Numer. Anal., 2016
Superconvergence of Local Discontinuous Galerkin methods for one-dimensional linear parabolic equations.
Math. Comput., 2016
The Highest Superconvergence of the Tri-linear Element for Schrödinger Operator with Singularity.
J. Sci. Comput., 2016
J. Sci. Comput., 2016
A posteriori error analysis of multipoint flux mixed finite element methods for interface problems.
Adv. Comput. Math., 2016
2015
Superconvergence of Discontinuous Galerkin Methods for Two-Dimensional Hyperbolic Equations.
SIAM J. Numer. Anal., 2015
Vertex-centered finite volume schemes of any order over quadrilateral meshes for elliptic boundary value problems.
Numerische Mathematik, 2015
On the Spectrum Computation of Non-oscillatory and Highly Oscillatory Kernel with Weak Singularity.
J. Sci. Comput., 2015
Superconvergence property of an over-penalized discontinuous Galerkin finite element gradient recovery method.
J. Comput. Phys., 2015
A new approach for numerical simulation of the time-dependent Ginzburg-Landau equations.
J. Comput. Phys., 2015
J. Comput. Phys., 2015
2014
Finite Element Formulation in Flat Coordinate Spaces to Solve Elliptic Problems on General Closed Riemannian Manifolds.
SIAM J. Sci. Comput., 2014
SIAM J. Numer. Anal., 2014
Uniform convergence of the LDG method for a singularly perturbed problem with the exponential boundary layer.
Math. Comput., 2014
J. Sci. Comput., 2014
Spectral Collocation Methods for Differential-Algebraic Equations with Arbitrary Index.
J. Sci. Comput., 2014
On hp-convergence of prolate spheroidal wave functions and a new well-conditioned prolate-collocation scheme.
J. Comput. Phys., 2014
J. Comput. Appl. Math., 2014
2013
Superconvergence of Any Order Finite Volume Schemes for 1D General Elliptic Equations.
J. Sci. Comput., 2013
Pointwise Error Estimates for the LDG Method Applied to 1-d Singularly Perturbed Reaction-Diffusion Problems.
Comput. Methods Appl. Math., 2013
2012
SIAM J. Numer. Anal., 2012
J. Sci. Comput., 2012
J. Sci. Comput., 2012
Convergence analysis for least-squares finite element approximations of second-order two-point boundary value problems.
J. Comput. Appl. Math., 2012
2010
Uniform superconvergence analysis of the discontinuous Galerkin method for a singularly perturbed problem in 1-D.
Math. Comput., 2010
Error analysis of a discontinuous Galerkin method for Maxwell equations in dispersive media.
J. Comput. Phys., 2010
2009
Superconvergence of Discontinuous Galerkin Methods for Convection-Diffusion Problems.
J. Sci. Comput., 2009
2008
IEEE Trans. Autom. Control., 2008
SIAM J. Numer. Anal., 2008
2005
SIAM J. Sci. Comput., 2005
Superconvergence of spectral collocation and <i>p</i>-version methods in one dimensional problems.
Math. Comput., 2005
2004
SIAM J. Numer. Anal., 2004
Math. Comput., 2004
2003
Numerische Mathematik, 2003
Finite element superconvergence on Shishkin mesh for 2-D convection-diffusion problems.
Math. Comput., 2003
2002
Derivative superconvergent points in finite element solutions of harmonic functions- A theoretical justification.
Math. Comput., 2002
2001
Adv. Comput. Math., 2001