• Journal Articles

1. Qingshuo Song, George Yin, and Zhimin Zhang, Numerical solutions of stochastic control problems for regime-switching systems, Dynamics of Continuous, Discrete and Impulsive Systems.
2. Qingshuo Song, George Yin, and Zhimin Zhang, An $\epsilon$-uniform finite element method for singularly perturbed boundary value problems, International Journal of Numerical Analysis & Modeling 4-1 (2007), 128-142.
3. Qingshuo Song, George Yin, and Zhimin Zhang, Numerical method for controlled regime-switching diffusions and regime-switching jump diffusions,, Automatica 26 (2006), 1147-1157.
4. Ahmed Naga, Zhimin Zhang, and Aihui Zhou Enhancing eigenvalue approximation by gradient recovery, SIAM Journal on Scientific Computing 28-4 (2006), 1289-1300.
5. Zhimin Zhang and Ahmed Naga, Natural superconvergent points of equilateral triangular finite elements -- a numerical example, Journal of Computational Mathematics 24-6 (2006), 19-24.
6. Runchang Lin and Zhimin Zhang, Derivative superconvergence of equilateral triangular finite elements, AMS Contemporary Mathematics Vol.383 (2005), 299-310.
7. Ahmed Naga and Zhimin Zhang, The polynomial-preserving recovery for higher order finite element methods in 2D and 3D, Discrete and Continuous Dynamical Systems - Series B 5-3 (2005), 769-798.
8. George Yin, Qingshuo Song, and Zhimin Zhang, Numerical solutions for jump-diffusions with regime switching, Stochastics: An International Journal of Probability and Stochastic Processes 77-1 (2005), 61-79.
9. Zhimin Zhang, Superconvergence of spectral collocation and p-version methods in one dimensional problems, Mathematics of Computation 74 (2005), 1621-1636.
10. Zhimin Zhang and Ahmed Naga, A new finite element gradient recovery method: Superconvergence property, SIAM Journal on Scientific Computing 26-4 (2005), 1192-1213.
11. Ahmed Naga and Zhimin Zhang, A Posteriori error estimates based on polynomial preserving recovery , SIAM Journal on Numerical Analysis 42-4 (2004), 1780-1800.
12. Zhimin Zhang and Ahmed Naga, Validation of the a posteriori error estimator based on polynomial preserving recovery for linear elements , International Journal for Numerical Methods in Engineering 61 (2004), 1860-1893.
13. Zhimin Zhang, Polynomial preserving gradient recovery and a posteriori estimate for bilinear element on irregular quadrilaterals, International Journal of Numerical Analysis and Modeling 1 (2004), 1-24.
14. Zhimin Zhang, Polynomial preserving recovery for anisotropic and irregular grids, Journal of Computational Mathematics 22-2 (2004), 331-340.
15. Jinchao Xu and Zhimin Zhang, Analysis of recovery type a posteriori error estimators for mildly structured grids, Mathematics of Computation 73 (2004), 1139-1152.
16. Runchang Lin and Zhimin Zhang, Locating natural superconvergent points of finite element methods in 3-D, International Journal of Numerical Analysis and Modelling} 2-1 (2004), 19-30.
17. Runchang Lin and Zhimin Zhang, Natural superconvergent points of triangular finite elements, Numerical Methods for Partial Differential Equations 20 (2004), 864-906.
18. Zhimin Zhang and Runchang Lin, Ultraconvergence of ZZ patch recovery at mesh symmetry points, Numerische Mathematik 95 (2003), 781-801.
19. Zhimin Zhang, Superconvergent finite element method on a Shishkin mesh for convection-diffusion problems, with Graph, Mathematics of Computation 72 (2003), 1147-1177. Report No. 98-006, Department of Mathematics and Statistics, Texas Tech University, November, 1998.
20. Zhimin Zhang, Derivative superconvergent points in finite element solutions of harmonic functions, Mathematics of Computation 71 (2002), 1421-1430.
21. Zhimin Zhang, On the hp finite element method for the one dimensional singularly perturbed convection-diffusion problems, Journal of Computational Mathematics 20 (2002), 599-610. Report No. 99-001, Department of Mathematics and Statistics, Texas Tech University, January, 1999.
22. Zhimin Zhang, Finite element superconvergent approximation for one-dimensional singularly perturbed problems with Graph, Numerical Methods for Partial Differential Equations 18 (2002), 374-395. Report No. 97-ZZ2, Department of Mathematics and Statistics, Texas Tech University, October, 1997.
23. Zhimin Zhang and Ningning Yan, Recovery type a posteriori error estimators in finite element methods, The Korean Journal of Computational & Applied Mathematics 8 (2001), 235-251.
24. Zhimin Zhang, A posteriori error estimates on irregular grids based on gradient recovery, Advances in Computational Mathematics 15 Nos.1-4 (2001), 363-374.
25. Zhimin Zhang, Ningning Yan, and Tong Sun, Superconvergent derivative recovery for the intermediate finite element family of the second type, with Graph, IMA Journal of Numerical Analysis 21 (2001), 643-665.
26. Zhimin Zhang, Ultraconvergence of the patch recovery technique II, with Graph, Mathematics of Computation, 69 (2000), 141-158.
27. Bo Li and Zhimin Zhang, Analysis of a class of superconvergence patch recovery techniques for linear and bilinear finite elements, Numerical Methods for Partial Differential Equations 15 (1999), 151-167.
28. J.Z. Zhu and Zhimin Zhang, The relationship of some a posteriori error estimators, Computer Methods in Applied Mechanics and Engineering, 176 (1999), 463-475.
29. Zhimin Zhang and J.Z. Zhu, Analysis of the superconvergent patch recovery technique and a posteriori error estimator in the finite element method (II), Computer Methods in Applied Mechanics and Engineering 163, (1998), 159-170.
30. Zhimin Zhang, Superconvergence in projected-shear plate-bending finite element methods, Numerical Methods for Partial Differential Equations, 14 (1998) 367-386.
31. E.J. Allen, S.J. Novosel, and Zhimin Zhang, Finite element and difference approximation of some linear stochastic partial differential equations, Stochastics and Stochastics Reports, 64 (1998), 117-142.
32. Zhimin Zhang, Derivative superconvergence points in finite element solutions of Poisson's equation for the serendipity and intermediate families -- A theoretical justification, Mathematics of Computation, 67 (1998), 541-552.
33. Ivo Babuska and Zhimin Zhang, The partition of unity method for the elastically supported beam, Computer Methods in Applied Mechanics and Engineering, 152 (1998), 1-18.
34. Zhimin Zhang and Clyde F. Martin, Convergence and Gibbs' phenomenon in cubic spline interpolation of discontinuous functions, The Journal of Computational and Applied Mathematics, 87 (1997), 359-371.
35. Zhimin Zhang, Analysis of some quadrilateral nonconforming elements for incompressible elasticity, SIAM Journal on Numerical Analysis, 34-2 (1997), 640-663.
36. Shangyou Zhang and Zhimin Zhang, Treatments of discontinuity and bubble functions in the multigrid method, Mathematics of Computation 66 (1997), 1055-1072.
37. Zhimin Zhang, Jack Tomlinson, and Clyde F. Martin, Splines and linear control theory, Acta Applicandae Mathematicae, 49 (1997), 1-34.
38. Zhimin Zhang and Ivo Babuska, A numerical method for steady state free boundary problems, SIAM Journal on Numerical Analysis, 33-6 (1996), 2184-2214.
39. Zhimin Zhang, Ultraconvergence of the patch recovery technique, Mathematics of Computation 65 (1996), 1431-1437.
40. Zhimin Zhang and Shangyou Zhang, Derivative superconvergence of rectangular finite elements for the Reissner-Mindlin plate, Computer Methods in Applied Mechanics and Engineering, 134 (1996), 1-16.
41. Zhimin Zhang and Harold Dean Victory Jr., Mathematical Analysis of Zienkiewicz-Zhu's derivative patch recovery techniques, Numerical Methods for Partial Differential Equations, 12 (1996), 507-524.
42. Zhimin Zhang and J.Z. Zhu, Analysis of the superconvergent patch recovery technique and a posteriori error estimator in the finite element method (I), Computer Methods in Applied Mechanics and Engineering, 123 (1995), 173-187.
43. Zhimin Zhang, Locking and robustness in the finite element method for circular arch problems, Numerische Mathematik, 69 (1995), 509-522.
44. Zhimin Zhang and Shangyou Zhang, Wilson's element for the Reissner-Mindlin plate, Computer Methods in Applied Mechanics and Engineering, 113 (1994), 55-65.
45. Zhimin Zhang, A note on the hybrid-mixed C^0 curved beam elements, Computer Methods in Applied Mechanics and Engineering, 95 (1992), 243-252.
46. Zhimin Zhang, Arch beam models: finite element analysis and superconvergence, Numerische Mathematik, 61 (1992), 117-143.
• Solicited and peer-reviewed articles

1. Ningning Yan and Zhimin Zhang, A posteriori error estimates and adaptive control in finite element methods, to appear in Finite Element Handbook (Edited by Z.-C. Shi, K. Li, and A. Huang), Science Press, Beijing (in Chinese).
2. Zhimin Zhang, Nonconforming enhanced strain and mixed finite element methods -- A unified approach, in Discontinuous Galerkin Methods Theory, Computation and Applications, Lecture Notes in Computational Science and Engineering 11 (Edited by B. Cockburn, G.E. Karniadakis, and C.-W. Shu), Springer, Berlin, 2000, 465-470.
3. Zhimin Zhang, Finite element methods for solid mechanics, in Numerical Methods in Applied Sciences (Edited by Wei Cai, Zhong-Ci Shi, Chiwang Shu and Jinchao Xu), Science Press, New York, Beijing, 1996, 278-296.
4. Zhimin Zhang and J.Z. Zhu, Superconvergence of the derivative patch recovery technique and a posteriori error estimation: In IMA Volumes in Mathematics and its Applications 75, ``Modeling, mesh generation, and adaptive numerical methods for partial differential equations" (Edited by I. Babuska, J.E. Flaherty, J.E. Hopcroft, W.D. Henshaw, J.E. Oliger, and T. Tezduyar), Springer, New York, 1995, 431-450.
• Book Reviews

1. Introduction to Partial Differential Equations: A Computational Approach, Text in Applied Mathematics 29, by Asiak Tveito and Ragnar Winther, Springer-Verlag, New York, (1998), SIAM Review 41-3 (1999).
2. Handbook of Numerical Analysis. Volume V. Techniques of Scientific Computing. (Part 2) by P.G. Ciarlet and J.L. Lions (Eds.), Elsevier, Amsterdam (1997), SIAM Review 40-3 (1998) 753-755.
3. Elliptic Marching Methods and Domain Decomposition by Patrick J. Roache, CRC Press, Inc., Boca Raton (1996), SIAM Review 40-2 (1998) 426-428.
4. Conservative Finite Difference Methods on General Grids by M. Shashkov, CRC Press, Boca Raton (1996), SIAM Review 39-2 (1997), 367-369.

• Others

1. Zhimin Zhang, Superconvergent finite element method on a Shishkin mesh for convection-diffusion problems, with Graph, Report No. 98-006, Department of Mathematics and Statistics, Texas Tech University, November, 1998.
2. Clyde F. Martin, Perre Enqvist, Jack Tomlinson, and Zhimin Zhang, Linear control theory, splines and interpolation, in Computation and Control IV (Edited by K.L. Bowers and J. Lund), Birkhauser, Boston-Basel-Berlin, 1995, 269-287.
3. Zhimin Zhang, Stability analysis of Wilson's element for incompressible elasticity, Tech. Report No. 94-ZZ2, Department of Mathematics, Texas Tech University, June, 1994.