王中庆

一、个人简介

男，安徽桐城人，教授，博导。

二、学习与工作经历

主要学习经历：

硕士、博士：1997.9—2002.3，上海大学，计算数学；

本科：1987.9—1991.7，北京大学，计算数学。

主要工作经历：

2014.12—：上海理工大学，数学系；

2003.10—2014.11：上海师范大学，数学系；

2002.4—2003.9：北京应用物理与计算数学研究所，计算物理实验室。

三、教学工作

讲授线性代数、数值分析、数学物理方程、微分方程数值解、高等数学、有限元方法、谱方法等。

四、科研工作

从事常微分方程、偏微分方程、积分微分方程、时滞微分方程和分数阶微分方程数值方法（谱方法）的研究工作，在《Found. Comput. Math.》、《SIAM J. Numer. Anal.》、《Math. Comp.》、《IMA J. Numer. Anal.》、《J. Comput. Phys.》以及《J. Sci. Comput.》等国内外学术期刊上发表论文87篇，主持和参与科研项目20余项。

代表性项目：

1. 国家973计划项目,子课题负责人。

2. 国家自然科学基金面上项目4项(10771142、11171225、11571238、12071294)，负责人。

3. 高校博士点基金(20133127110006)，负责人。

4. 上海市教委曙光计划项目（08SG45），负责人。

代表性论文（SCI）:

1. Ben-Yu Guo, Jie Shen and Zhong-Qing Wang, A rational approximation and its applications to differential equations on the half line, Journal of Scientific Computing, 15(2000), 117-147.

2. Ben-Yu Guo, Jie Shen and Zhong-Qing Wang, Chebyshev rational spectral and pseudospectral methods on a semi-infinite interval, International Journal for Numerical Methods in Engineering, 53(2002), 65-84.

3. Wang Zhong-Qing and Guo Ben-Yu, A rational approximation and its applications to nonlinear partial differential equations on the whole line, Journal of Mathematical Analysis and Applications, 274(2002), 374-403.

4. Guo Ben-Yu and Wang Zhong-Qing, Modified Chebyshev rational spectral method for the whole line, Discrete and Continuous Dynamical Systems A, Supplement, 365-374, 2003.

5. Guo Benyu and Wang Zhongqing, Legendre rational approximation on the whole line, Science in China Series A-Mathematics, Supplement, 47(2004), 155-164.

6. Zhong-qing Wang and Ben-yu Guo, Modified Legendre rational spectral method for the whole line, Journal of Computational Mathematics, 22(2004), 457-474.

7. Ben-yu Guo, Zhong-qing Wang, Zheng-su Wan and De-lin Chu, Second order Jacobi approximation with applications to fourth-order differential equations, Applied Numerical Mathematics, 55(2005), 480-502.

8. Wang Zhong-qing and Guo Ben-yu, A mixed spectral method for incompressible viscous fluid flow in an infinite strip, Computational and Applied Mathematics, 24(2005), 343-364.

9. Guo Ben-Yu, Wang Li-Lian and Wang Zhong-Qing, Generalized Laguerre interpolation and pseudospectral method for unbounded domains, SIAM Journal on Numerical Analysis, 43(2006), 2567-2589.

10. Wan Zheng-su, Guo Ben-yu and Wang Zhong-qing, Jacobi pseudospectral method for fourth order problems, Journal of Computational Mathematics, 24(2006), 481-500.

11. Guo Ben-yu and Wang Zhong-qing, Numerical integration based on Laguerre-Gauss interpolation, Computer Methods in Applied Mechanics and Engineering, 196(2007), 3726–3741.

12. Wang Zhong-qing, Guo Ben-yu and Zhang Wei, Mixed spectral method for three-dimensional exterior problems using spherical harmonic and generalized Laguerre functions, Journal of Computational and Applied Mathematics, 217(2008), 277-298.

13. Guo Ben-yu, Wang Zhong-qing, Tian Hong-jiong and Wang Li-lian, Integration processes of ordinary differential equations based on Laguerre-Radau interpolations, Mathematics of Computation, 77(2008), 181-199.

14. Wang Zhong-qing and Guo Ben-yu, Jacobi rational approximation and spectral method for differential equations of degenerate type, Mathematics of Computation, 77(2008), 883-907.

15. Zhang Rong, Wang Zhong-qing and Guo Ben-yu, Mixed Fourier-Laguerre spectral and pseudospectral methods for exterior problems using generalized Laguerre functions, Journal of Scientific Computing, 36(2008), 263-283.

16. Guo Ben-yu and Wang Zhong-qing, Legendre-Gauss collocation methods for ordinary differential equations, Advances in Computational Mathematics, 30(2009), 249-280.

17. Wang Zhong-qing, Guo Ben-yu and Wu Yan-na, Pseudospectral method using generalized Laguerre functions for singular problems on unbounded domains, Discrete and Continuous Dynamical Systems-Series B, 11(2009), 1019-1038.

18. Wang Tian-jun and Wang Zhong-qing, Error analysis of Legendre spectral method with essential imposition of Neumann boundary condition, Applied Numerical Mathematics, 59(2009), 2444-2451.

19. Wang Zhong-qing and Wang Li-lian, A collocation method with exact imposition of mixed boundary conditions, Journal of Scientific Computing, 42(2010), 291-317.

20. Wang Zhong-qing and Wang Li-lian, A Legendre-Gauss collocation method for nonlinear delay differential equations, Discrete and Continuous Dynamical Systems-Series B, 13(2010), 685-708.

21. Wang Zhong-qing, Zhang Rong and Guo Ben-yu, Spherical harmonic- generalized Laguerre pseudospectral method for three dimensional exterior problems, International Journal of Computer Mathematics, 87(2010), 2123-2142.

22. Guo Ben-yu and Wang Zhong-qing, A spectral collocation method for solving initial value problems of first order ordinary differential equations, Discrete and Continuous Dynamical Systems-Series B, 14(2010), 1029-1054.

23. Xiang Xin-min and Wang Zhong-qing, Generalized Hermite spectral method and its applications to problems in unbounded domains, SIAM Journal on Numerical Analysis, 48(2010), 1231-1253.

24. Wang Zhong-qing, The Laguerre spectral method for solving Neumann boundary value problems, Journal of Computational and Applied Mathematics, 235(2011), 3229-3237.

25. Wang Zhong-qing and Zhang Rong, Mixed spectral and pseudospectral methods for a nonlinear strongly damped wave equation in an exterior domain, Numerical Mathematics: Theory, Methods and Applications, 4(2011), 255-282.

26. Yu Xu-hong and Wang Zhong-qing, Mixed Fourier-Jacobi spectral method for two-dimensional Neumann boundary value problem, East Asian Journal on Applied Mathematics, 1(2011), 284-296.

27. Wang Zhong-qing and Wu Jing-xia, Generalized Jacobi rational spectral methods with essential imposition of Neumann boundary conditions in unbounded domains, Discrete and Continuous Dynamical Systems-Series B，17(2012), 325-346.

28. Wang Zhong-qing and Guo Ben-yu, Legendre-Gauss-Radau collocation method for solving initial value problems of first order ordinary differential equations, Journal of Scientific Computing, 52(2012), 226-255.

29. Yu Xu-hong and Wang Zhong-qing, Jacobi spectral method with essential imposition of Neumann boundary condition, Applied Numerical Mathematics, 62(2012), 956-974.

30. Shen Jie and Wang Zhong-qing, Error analysis of the Strang time-splitting Laguerre-Hermite/Hermite collocation methods for the Gross-Pitaevskii equation, Foundations of Computational Mathematics, 13(2013), 99-137.

31. Wu Jing-xia and Wang Zhong-qing, Mixed Fourier-generalized Jacobi rational spectral method for two-dimensional exterior problems, International Journal of Numerical Analysis & Modeling, 10(2013), 657-672.

32. Li Zhao-xiang and Wang Zhong-qing, Pseudospectral methods for computing the multiple solutions of the Lane-Emden equation, Journal of Computational Physics, 255(2013), 407-421.

33. Yi Li-jun, Liang Zi-qiang and Wang Zhong-qing, Legendre-Gauss-Lobatto spectral collocation method for nonlinear delay differential equations, Mathematical Methods in the Applied Sciences, 36(2013), 2476-2491.

34. Xiang Xin-min and Wang Zhong-qing, Generalized Hermite approximations and spectral method for partial differential equations in multiple dimensions, Journal of Scientific Computing, 57 (2013), 229-253.

35. Yi Li-jun and Wang Zhong-qing, Legendre spectral collocation method for second-order nonlinear ordinary/partial differential equations, Discrete and Continuous Dynamical Systems Series B, 19(2014), 299-322.

36. Guo Ben-yu and Wang Zhong-qing, A collocation method for generalized nonlinear Klein-Gordon equation, Advances in Computational Mathematics,40(2014),377–398.

37. Yi Li-jun and Wang Zhong-qing, Legendre–Gauss-type spectral collocation algorithms for nonlinear ordinary/partial differential equations, International Journal of Computer Mathematics, 91 (2014), 1434-1460.

38. Yi Li-jun and Wang Zhong-qing, Legendre-Gauss spectral collocation method for second order nonlinear delay differential equations, Numerical Mathematics: Theory, Methods and Applications, 7(2014), 149-178.

39. Sheng Chang-tao, Wang Zhong-qing and Guo Ben-yu, A multistep Legendre-Gauss spectral collocation method for nonlinear Volterra integral equations, SIAM Journal on Numerical Analysis, 52(2014), 1953-1980.

40. Yang Xi and Wang Zhong-qing, A Chebyshev-Gauss spectral collocation method for ordinary differential equations, Journal of Computational Mathematics, 33(2015), 59-85.

41. Wang Zhong-qing and Xiang Xin-min, Generalized Laguerre approximations and spectral method for the Camassa-Holm equation, IMA Journal of Numerical Analysis, 35(2015), 1456-1482.

42. Wang Zhong-qing and Sheng Chang-tao, An hp-spectral collocation method for nonlinear Volterra integral equations with vanishing variable delays, Mathematics of Computation, 85(2016), 635-666.

43. Yi Li-jun and Wang Zhong-qing, A Legendre-Gauss-Radau spectral collocation method for first order nonlinear delay differential equations, Calcolo, 53(2016), 691-721.

44. Sheng Chang-tao, Wang Zhong-qing and Guo Ben-yu, An hp-spectral collocation method for nonlinear Volterra functional integro-differential equations with delays, Applied Numerical Mathematics, 105(2016), 1-24.

45. Wang Zhong-qing and Mu Jun, A multiple interval Chebyshev-Gauss-Lobatto collocation method for ordinary differential equations, Numerical Mathematics: Theory, Methods and Applications, 9(2016), 619-639.

46. Zhong-qing Wang, Yu-ling Guo and Li-jun Yi, An hp-version Legendre-Jacobi spectral collocation method for Volterra integro-differential equations with smooth and weakly singular kernels, Mathematics of Computation, 86(2017), 2285-2324.

47. Liu Fu-jun, Li Hui-yuan and Wang Zhong-qing, Spectral methods using generalized Laguerre functions for second and fourth order problems, Numerical Algorithms, 75(2017), 1005-1040.

48. Zhao-xiang Li, Ji Lao and Zhong-qing Wang, Mixed Fourier-Legendre spectral methods for the multiple solutions of the Schrodinger equation on the unit disk, Mathematical Modelling and Analysis, 22 (2017), 167-185.

49. Chao Zhang, Dong-qin Gu, Zhong-qing Wang and Hui-yuan Li, Efficient space-time spectral methods for second-order problems on unbounded domains, Journal of Scientific Computing, 72(2017), 679-699.

50. Chuan-li Wang, Zhong-qing Wang and Hong-li Jia, An hp-version spectral collocation method for nonlinear Volterra integro-differential equation with weakly singular kernels, Journal of Scientific Computing, 72(2017), 647-678.

51. Liu Fu-jun, Wang Zhong-qing and Li Hui-yuan, A fully diagonalized spectral method using generalized Laguerre functions on the half line, Advances in Computational Mathematics, 43(2017), 1227-1259.

52. Jing-min Li, Zhong-qing Wang and Hui-yuan Li, Fully diagonalized Chebyshev spectral methods for second and fourth order elliptic boundary value problems, International Journal of Numerical Analysis & Modeling, 15(2018), 243-259.

53. Zhao-xiang Li, Ji Lao and Zhong-qing Wang, Pseudospectral methods for computing the multiple solutions of the Schrodinger equation, Communications in Computational Physics, 23(2018), 822-845.

54. Chuanli Wang, Zhongqing Wang and Lilian Wang, A spectral collocation method for nonlinear fractional boundary value problems with a Caputo derivative, Journal of Scientific Computing, 76(2018), 166-188.

55. Wang Zhong-qing, Sheng Chang-tao, Jia Hong-li and Li Dao, A Chebyshev spectral collocation method for nonlinear Volterra integral equations with vanishing delays, East Asian Journal on Applied Mathematics, 8 (2018), 233-260.

56. Qing Ai, Hui-yuan Li and Zhong-qing Wang, Diagonalized Legendre spectral methods using Sobolev orthogonal polynomials for elliptic boundary value problems, Applied Numerical Mathematics, 127(2018), 196-210.

57. Liu Yuan, Yu Xuhong, Wang Zhongqing and Li Huiyuan, Hermite-Sobolev orthogonal functions and spectral methods for second- and fourth-order problems on unbounded domains, International Journal of Computer Mathematics, 96(2019), 950-970.

58. Ren Yanmin, Yu Xuhong and Wang Zhongqing, Diagonalized Chebyshev rational spectral methods for second-order elliptic problems on unbounded domains, Numerical Mathematics: Theory, Methods and Applications, 12(2019), 265-284.

59. Tingting Meng, Zhongqing Wang and Lijun Yi, An h-p version of the Chebyshev spectral collocation method for nonlinear delay differential equations, Numerical Methods for Partial Differential Equations, 35(2019), 664-680.

60. Jia Hongli, Yang Yang and Wang Zhongqing, An hp-version Chebyshev spectral collocation method for nonlinear Volterra integro-differential equations with weakly singular kernels, Numerical Mathematics: Theory, Methods and Applications, 12(2019), 969-994.

61. Shan Li, Qiao-Ling Li and Zhong-qing Wang, Sobolev orthogonal Legendre rational spectral methods for problems on the half line, Mathematical Methods in the Applied Sciences, 43(2020), 255-268.

62. Shan Li, Shi-mi Yan and Zhong-qing Wang, Efficient Legendre dual-Petrov-Galerkin methods for odd-order differential equations, Discrete and Continuous Dynamical Systems-Series B，25(2020), 1543-1563.

63. Dong-qin Gu, Chao Zhang and Zhongqing Wang, Well-conditioned spectral collocation methods for problems in unbounded domains, Numerical Mathematics: Theory, Methods and Applications, 13(2020), 452-478.

64. Dong-qin Gu, Chao Zhang and Zhongqing Wang, ADI-spectral collocation methods for two-dimensional parabolic equations, East Asian Journal on Applied Mathematics, 10(2020), 399-419.

65. Yuling Guo and Zhongqing Wang, An hp-version Chebyshev collocation method for nonlinear fractional differential equations, Applied Numerical Mathematics, 158(2020) 194-211.

66. Xuhong Yu, Lusha Jin and Zhongqing Wang, Efficient and accurate Chebyshev dual-Petrov-Galerkin methods for odd-order differential equations, Journal of Computational Mathematics, 39(2021), 43-62.

67. Zhang Yang, Yu, Xuhong and Wang Zhongqing, Efficient and accurate Legendre spectral element methods for one-dimensional higher order problems, Numerical Mathematics: Theory, Methods and Applications, 14 (2021), 461-487.

68. Yuling Guo and Wang Zhongqing, An hp-version Legendre spectral collocation method for multi-order fractional differential equations, Advances in Computational Mathematics, 47, 37 (2021).

69. Zhongqing Wang, Min Zhou, Yuling Guo, An hp-version Jacobi spectral collocation method for the third-kind VIEs, Journal of Scientific Computing, 87 (2021), no. 1, Paper No. 19, 15 pp.

70. Gu Dong-qin and Wang Zhong-qing, Orthogonal Jacobi rational functions and spectral methods on the half line, Journal of Scientific Computing, 88 (2021), no. 1, Paper No. 17.

71. Xuhong Yu, Xueqin Ye and Zhongqing Wang, A fast solver of Legendre-Laguerre spectral element method for the Camassa-Holm equation, Numerical Algorithms, DOI: 10.1007/s11075-020-01028-y.

72. Shan Li, Jinju Wu, Zhongqing Wang, Sobolev orthogonal Legendre rational spectral methods for exterior problems, International Journal of Computer Mathematics, 10.1080/00207160.2021.1913127.