Zhimin Zhang

activity

20122023

most citedAnalysis of adaptive BDF2 scheme for diffusion equations

132 citations · 497 across the 66 of their papers we have counts for

collaborators

Showing 2013Show all

3 papers · 1 filter

math.NA2013★ 1 cited

How Many Numerical Eigenvalues can We Trust?

Zhimin Zhang

When using finite element and finite difference methods to approximate eigenvalues of $2 m^{t h}$ -order elliptic problems, the number of reliable numerical eigenvalues can be estimat…

math.NA2013★ 8 cited

Superconvergence of Discontinuous Galerkin method for linear hyperbolic equations

Cao Waixiang, Zhang Zhimin, Zou Qingsong

In this paper, we study superconvergence properties of the discontinuous Galerkin (DG) method for one-dimensional linear hyperbolic equation when upwind fluxes are used. We prove,…

math.NA2013★ 17 cited

On $h p$ -Convergence of PSWFs and A New Well-Conditioned Prolate-Collocation Scheme

Li-Lian Wang, Jing Zhang, Zhimin Zhang

The first purpose of this paper is to provide a rigorous proof for the nonconvergence of $h$ -refinement in $h p$ -approximation by the PSWFs, a surprising convergence property that w…

How Many Numerical Eigenvalues can We Trust?

Superconvergence of Discontinuous Galerkin method for linear hyperbolic equations

On hp-Convergence of PSWFs and A New Well-Conditioned Prolate-Collocation Scheme

On $h p$ -Convergence of PSWFs and A New Well-Conditioned Prolate-Collocation Scheme