Publications

---

Journal publications:

15.   C. Yao and Z. Qiao.

     Extrapolation of Mixed Finite Element Approximations for the Maxwell Eigenvalue Problem.

              Numerical Mathematics: Theory, Methods and Applications,4 (2011), pp. 379-395.

14.   Z. Qiao, Z. Zhang and T. Tang.

     An adaptive time-stepping strategy for the molecular beam epitaxy models.

              SIAM Journal on Scientific Computing, 33 (2011), pp. 1395-1414.

13.   X. Feng, Z. Li and Z. Qiao.

     High order compact finite difference schemes for the Helmholtz equation with discontinuous coefficients.

               Journal of Computational Mathematics, 29 (2011), pp. 324-340.

12.   M. Zhao, Z. Qiao and T. Tang.

     A fast high order method for electromagnetic scattering by large open cavities.

               Journal of Computational Mathematics, 29 (2011), pp. 287－304.

11.   H. Xie, Z. Li and Z. Qiao.

     A finite element method for elasticity interface problems with locally modified triangulations.

               Internationla Journal of Numerical Analysis and Modeling, 8 (2011), pp. 189-200.

10.   Z. Qiao, C. Yao and S. Jia.

     Superconvergence and extrapolation analysis of a nonconforming mixed finite element approximation for time-Harmonic Maxwell's equations.

               Journal of Scientific Computing, 46 (2011), pp. 1-19.

9.   S. Chen, M. Liu and Z. Qiao.

     An anisotropic nonconforming element for fourth order elliptic singular perturbation problem.

               International Journal of Numerical Analysis & Modeling, 7 (2010), pp. 766-784.

8.   J. Cai, Y. Wang and Z. Qiao.

     Multisymplectic Preissman scheme for the time- domain Maxwells equations.

               Journal of Mathematical Physics, 50 (2009), pp. 033510.

7.   K. Ito, Z. Qiao and J. Toivanen.

     A domain decomposition solver for acoustic scattering by elastic objects in layered media.

               Journal of Computational Physics, 227 (2008), pp. 8685-8698.

6.  K. Ito and Z. Qiao.

A high order compact MAC finite difference scheme for the Stokes equations: Augmented variable approach.
    Journal of Computational Physics, 227 (2008), pp. 8177-8190.

5.  Z. Qiao.

Numerical Investigations of the Dynamical Behaviors and Instabilities for the Gierer-Meinhardt System.
    Communications in Computational Physics, 3 (2008), pp. 406-426.

4.  K. Ito and Z. Qiao.

 A high order finite difference scheme for the Stokes equations.
    AMS Contemporary Mathematics, 466 (2008), pp. 35-52.

3.  Z. Li, C. Pao and Z. Qiao.

 A Finite Difference Method and Analysis for 2D Nonlinear Poisson-Boltzmann Equations.

    Journal of Scientific Computing, 30 (2007), pp. 61-81.

2.  Z. Qiao, Z. Li and T. Tang.

    Efficient numerical methods for the 2D nonlinear Poisson-Boltzmann equation modeling charged spheres.

    Journal of Computational Mathematics, 24 (2006), pp. 252-264.

1.  Z. Qiao and S. Chen.

    Narrow Bicubic Hermite Rectangular Element (in Chinese).

    Journal of Zhengzhou University (Natural Science Edition), 35 (2003), pp. 8-12.

Thesis:

•    Numerical Solution for Nonlinear Poisson-Boltzmann Equations and Numerical Simulations for Spike Dynamics,  Doctoral Thesis, Hong Kong Baptist University, 2006.

•   Convergence and numerical analysis of some narrow rectangular plate elements (in Chinese), Master Thesis, Zhengzhou University, 2003.