Publications  of  2003:

Monographs and printed lecture notes :

1.余德浩、汤华中,微分方程数值解法,科学出版社,2003.

2.Yuan Yaxiang, Numerical Linear Algebra and Optimization, Science Press, Beijing/New York, ISBN 7-03-011919-3.

 

Papers published in research journals :

1. Zhongzhi Bai白中治, An algebraic convergence theorem for the multiplicative     Schwarz iteration, Numerical Mathematics, A Journal of Chinese Universities (English Series), 12:Supplememnt(2003), 179-182.

2. Zhongzhi Bai白中治, On the convergence of parallel nonstationary multisplitting iteration methods, Journal of Computational and Applied Mathematics , 159 (2003), 1-11.

3. Zhongzhi Bai白中治, On the convergence of additive and multiplicative splitting iterations for systems of linear equations, Journal of Computational and Applied Mathematics, 154(2003), 195-214.

4. Zhongzhi Bai 白中治and Xuebin Chi, Asymptotically optimal successive overrelaxation methods for systems of linear equations, Journal of Computational Mathematics, 21:5(2003), 603-612.

5. Zhongzhi Bai白中治G.H. Golub and M.K. Ng, Hermitian and Skew-Hermitian splitting methods for non-Hermitian positive definite linear systems , SIAM Journal on Matrix Analysis and Applications, 24(2003), 603-626.

6. Zhongzhi Bai白中治 and Yuguang Huang, A class of asynchronous parallel multisplitting relaxation methods for the large sparse linear complementarity problems, Journal of Computational Mathematics, 21:6(2003), 773-790.

7.Zhongzhi Bai白中治 and Gui-qing Li, Restrictively preconditioned conjugate gradient methods for systems of linear equations, IMA Journal of Numerical Analysis , 23:4(2003), 561-580.

8. Zhongzhi Bai(白中治)Li Wang and Jin-Yun Yuan, Weak convergence theory of quasi-nonnegative splittings for singular matrices, Applied Numerical Mathematics, 47:2(2003), 75-89.

9. Zhongzhi Bai白中治 and Chuan-Long Wang, Convergence theorems for parallel multisplitting two-stage iterative methods for mildly nonlinear systems,  Linear Algebra and Its Applications,  362(2003), 237-250.

10. Zhongzhi Bai白中治and M.K. Ng, Preconditioners for nonsymmetric block Toeplitz-like-plus-diagonal linear systems, Numerische Mathematik, 96:2(2003), 197-220.

11. C. Bajaj Guoliang Xu(徐国良) R. Holt and A. Netravali, NURBS approximation of A-splines and A-patches, International Journal of Computational Geometry and Applications, Vol. 13, No. 5, November 2003, 359-389.

12. C. L. Bajaj and Guoliang Xu(徐国良), Anisotropic Diffusion of Subdivision Surfaces and Functions on Surfaces, ACM Transaction on Graphics, 22:1(2003), 4-32.

13. Liqun Cao(曹礼群)Junzhi Cui(崔俊芝) and Jianlan Luo, Multiscale asymptotic expansion and a post-processing algorithm for second-order elliptic problems with highly oscillatory coefficients over general convex domains, Journal of Computational and Applied Mathematics 157(2003),1-29.

14. Haibo ChenDehao Yu (余德浩)and E. Schnach, A simple a-posteriori error estimation for adaptive BEM in elasticity, Computational Mechanics, 30(2003), 343-354.

15.Jinru Chen and Xuejun Xu(许学军), Uniform convergence and Schwarz method for the mortar element method for non-selfadjoint and indefinite problems, App. Math. Comput. 136(2003), 517-533.

16. Yanping ChenYunqing Huang and Dehao Yu余德浩A two-grid method for expanded mixed finite element solution of semilinear reaction-diffusions, Inter. J. Numer. Methods Engrg., 57(2003), 193-209.

17. Zhiming Chen陈志明and X.Y. Yue, Numerical homogenization of well singularities in the flow transport through heterogeneous porous media, Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 1 (2003), 260-303.

18. Zhiming Chen陈志明 and H.J. Wu, An adaptive fnite element method with perfectly matched absorbing layers for the wave scattering by periodic structures, SIAM J. Numer. Anal. 41 (2003), 799-826.

19.Y.H. Dai, A Family of Hybrid Conjugate Gradient Methods for Unconstrained Optimization, Mathematics of Computation, 72(2003), 1317-1328.

20. Y.H. Dai(戴虹)、 J. M. Martinez and Y. Yuan(袁亚湘),An Increasing-Angle Property of the Conjugate Gradient Method and the Implementation of Large-Scale Minimization Algorithms with Line Searches, Numerical Linear Algebra and Applications, 10:4(2003), 323-334.

21. Y.H. Dai and D.C. Xu , A New Family of Trust Region Algorithms for Unconstrained Optimization, Journal of Computational Mathematics, 21:2(2003), 221-228.

22. Y.H. Daiand Q. Ni (2003), Testing Different Conjugate Gradient Methods for Large-Scale Unconstrained Optimization , Journal of Computational Mathematics, 21:3(2003), 311-320.

23.Dai Yuhong (戴虹)and Yuan Yaxiang(袁亚湘), A Class of globally convergent conjugate gradient methods, Science in China 46(2003) 253-261.

24.Yuhong Dai(戴虹) and Yaxiang Yuan(袁亚湘), Alternate minimization gradient method, IMA J. Num. Anal. 23(2003) 377-393.

25. Qikui Du and Dehao Yu余德浩Dirichlet-Neumann alternating algorithm based on the natural boundary reduction for time-dependent problems over an unbounded domain, Applied Numerical Mathematics, 44(2003), 471?86.

26. Qikui Du and Dehao Yu余德浩The natural boundary reduction for some elliptic boundary value problems with concave angle domains, Math. Numer. Sinica, 25:1(2003), 85?8; Chinese J. Numer. Math. And Appl., 25:2(2003), 10?7.

27. Qikui Du and Dehao Yu 余德浩, The coupling of natural boundary element and finite element method for 2D hyperbolic equations, J. Comput. Math., 21:5(2003), 585?94.

28. Claire R. GilsonXing-Biao Hu(胡星标) Wen-Xue Ma and Hon-Wah Tam, Two integrable differential-difference equations derived from the discrete BKP equation and their related equations , Physica D 175(2003), 177-184.

29. Wen-ming He and Jun-zhi Cui(崔俊芝), A New Mixed Sorting Method by Grading, Mini-Micro Systems, Vol.24 No.10 Oct.(2003), 1804-1807.

30. Wen-ming He and Jun-zhi Cui(崔俊芝), An Numerical Method for Some Equation with Oscillaty Coefficients, Mathematica Numerica Sinica, Vol.25 No.4,471-478.

31. R. HirotaX.B. Hu(胡星标) and X.Y. Tang, A vector potential KdV equation and vector Ito equation: soliton solutions, bilinear Backlund transformations and Lax pairs, J. Math. Anal. Appl. 288(2003)326-348.

32. Jialin Hong洪佳林, A Novel Numerical Approach to Simulating Nonlinear Schroedinger Equations with Varying Coefficients, Appl. Math. Lett. 16 (2003) 759-765.

33. Jun HuPingbing Ming(明平兵) and Zhong-ci Shi(石钟慈), Nonconforming quadrilateral rotated Q1 element for R-M plate, JCM 212003, 25-32.

34. Qiya Hu(胡齐芽) and Jun Zou, A non-overlapping domain decomposition method for Maxwell's equations in three dimensions, SIAM J. Numer. Anal., 2003, Vol.41, No. 5, 1682-1708.

35. Qiya Hu (胡齐芽)and Jun Zou, Substructuring preconditioners for saddle-point problems arising from Maxwell's equations in three dimensions, Math. Comp., 2003, Vol. 73, No. 245, 25-61.

36. Qiya Hu(胡齐芽)、Guoping Liang and Jinzhao Liu, A preconditioner for three-dimensional domain decomposition methods with Lagrange multipliers, J. Sys. Sci. and Compl., 2003, Vol. 16, 513-526.

37. Xing-Biao Hu(胡星标) Bo-Ling Guo and Hon-Wah Tam, Homoclinic orbits for the coupled Schrodinger-Boussinesq equation and coupled Higgs equation, Journal of the Physical Society of Japan, 72(2003)(1), 189-190.

38. X.B. Hu(胡星标) and W.M. Xue, A bilinear Bäcklund transformation and nonlinear superposition formula for the negative Volterra hierarchy, Journal of the Physical Society of Japan, 72(2003)(12)3075-3078.

39. Zhongze Li(李忠泽) Yousef Saad and M. Sosonkina, pARMS: a Parallel Version of the Algebraic Recursive Multilevel Solver, Numerical Linear Algebra with Applications, Vol. 102003), 485 -- 509.

40. Anping Liao and Zhongzhi Bai(白中治), Least-squares solution of AXB=D over symmetric positive semidefinite matrices X, Journal of Computational Mathematics, 21:2(2003), 175-182.

41. Qun Lin(林群) and Jia-fu Lin, Extrapolation of the Hood-Taylor Elements for the Stokes Problem, Advances in Computational Mathematics O: 2003),1-9.

42. Qun Lin(林群) and Jia-fu Lin, Global Superconvergence of the Mixed Finite Element Method for 2-D Maxwell Equations, JCM Vol.21, No.5, 2003, 637-646.

43. Qun Lin(林群) and Jia-fu Lin, 二维Maxwell方程组的混合有限元高精度近似, 数学物理学报 Vol.23.No.42003), 499-503.

44. W.B. LiuY.H. Dai and J. Lamb, Novel supervisor-searcher   cooperation algorithms for minimization problems with strong noise,   Optimization Methods and Software, 18(2003), 246-264.

45.Jianlan Luo and liqun Cao(曹礼群), Reiterated two-scale probabilistic model and numerical simulation for heat equation in fractal porous media, Journal of Engineering Thermophysics, Vol.24, No.5, Sep.2003.

46. X. MaD. Mao and A. Zhou(周爱辉)Extrapolation for finite volume approximations SIAM J. Sci. Comput.,  24(2003), 1974-1993.

47.X. Ma, S. Shu and A. Zhou(周爱辉), Symmetric finite volume discretizations for parabolic problems, Comput. Methods Appl. Mech. Engrg., 192(2003), 4467-4485.

48 Pingbing Ming(明平兵) and Zhong-ci Shi(石钟慈), Mathematical analysis for quadrilateral rotated Q1 element : The effect of numerical integration, JCM 212003, 287-294.

49. Michael K. Ng and Zhongzhi Bai(白中治), A hybrid preconditioner of banded matrix approximation and alternating direction implicit iteration for symmetric Linear Algebra and Its Applications, 366(2003), 317-335.

50. Zhong-ci Shi(石钟慈)and Xue-jun Xu(许学军), A V-cycle multigrid for quadrilateral votated Q1 element with numerical integration, JCM 212003, 545-554.

51. Wen-yu Sun Jin-yun Yuan and Yaxiang Yuan(袁亚湘), Conic Trust region method for linearly constrained optimization, J. Comp. Math., 21 (2003) 295-304.

52. Yajuan Sun(孙雅娟)and Mengzhao Qin, Variational Integrators for Higher Order Differential Equations, J.C.M, Vol.21, No2, 2003.

53. Hon-Wah Tam and Xing-Biao Hu(胡星标), A special integrable differential-difference equation and its related systems: bilinear forms, soliton solutions and Lax pairs, Journal of the Physical Society of Japan, 72(2003)(2), 265-272.

54. Lie-heng Wang王烈衡, The dual mixed method for an unilateral problem, Journal of computational Mathematics,Vol.21, No.6,2003, 733-746.

55.Lie-heng Wang王烈衡,, On the error estimate of nonconforming finite element approximation to the obstacle problem, Journal of Computational Mathematics,Vol.21, No.4,2003, 481-490.

56. Lie-heng Wang王烈衡, On Korn’s Inequality, Journal of Computational Mathematics,Vol.21, No.3,2003, 321-324.

57. Yan-fei Wang and Ya-xiang Yuan(袁亚湘), A trust region method for solving distributed parameter identification problems, Journal of Comp. Math. 21 (2003) 759-772.

58. Guoliang Xu(徐国良), Some Nonlinear Approximations for Matrix-valued Functions, J. Comp. Math., 21:6(2003) 801--814.

59. Guoliang Xu(徐国良) and C. L. Bajaj, Curvatures Computations of 2-manifolds in R^k, J. Comp. Math., 21:5 (2003), 681-688.

60. Xuejun Xu (许学军)and Jinru Chen, Multigrid for the mortar finite element for parabolic problem, J. Comput. Math. ,21(2003), 411-420.

61. Xuejun Xu(许学军)、 S.H. Lui and T. Rahman, A two-level additive Schwarz method for the Morley nonconforming element approximation of a nonlinerae biharmonic equation, IMA J. Numer. Anal., 20(2003), 1-28.

62. Yuan Yaxiang(袁亚湘), Linear systems associated with numerical methods for constrained optimization, Journal of Comp. Math. ,21(2003) 71-84.

63. Jun-Xiao ZhaoChun-Xia Li and Xing-Biao Hu(胡星标), An integrable coupled Toda equation and its related equation via Hirota’s bilinear approach, J. Nonlinear Math. Phys. 10(2003), supplement 2, 237-244.

64. 程强,王斌,马再忠,自动微分转换系统及其应用数值分析与计算机应用Vol. 242003. 12.

65.罗水华,杨广文,张林波,石威,郑纬民,并行集群系统的Linpack性能测试分析,数值分析与计算机应用,第24卷第4期, 2003,286-292.

66. 张林波, 国家重点基础研究发展规划项目大规模科学计算研究微机机群系统的系统配置与性能测试,  数值分析与计算机应用, 第24卷第1期, 2003.

67. 张文生, 裂步Hartley变换叠前深度偏移, 《石油物探》,2003年,Vol.42, No2: 149-153.

68. 张文生、张关泉, 螺旋坐标下的因子分解合成炮叠前深度偏移, 《地球物理学报》,2003年,Vol.46,  No.4:520-525.

 

Papers published in proceedings of symposia and conferences :

1. Pingbing Ming and Zhong-ci Shi, Some low order quadrilateral R-M plate elements, Contemporary Mathematics, AMS 330, 155-168, 2003.

2. Zhong-ci Shi, A mortar element method for a P1 bending problem, DDM 15, July, 2003(Germany).

3. Guoliang Xu, Adaptive and Smooth Surface Construction by Triangular A-Patches, AMS/IP Studies in Advanced Mathematics, pages 213-225, Volume 34, 2003.

4. Y. Yuan, Some Problems in nonlinear programming, Numerical Linear Algebra and Optimization(Science Press, Beijing/NewYork, 2003) 98-110.

 


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