Publications  of  2002:

Monographs and printed lecture notes :

1. De-hao Yu, The Natural Boundary Integral Method and Its Applications, Kluwer Academic Publisher/Science Press, Beijing, New York, Dordrecht, Boston, London, Vol.539, 2002


Papers published in research journals :

1. Alonso, Ana Isabel, Jialin Hong, Ergodic type solutions of differential equations with piecewise constant arguments. Int. J. Math. Math. 28(2001). No. 10. 609-619.

2. Zhong-Zhi Bai, Wang Chuanlong, On the convergence of nonstationary multisplitting two-stage iteration methods for hermitian positive definite linear systems, Journal of Computational and Applied Mathematics,138:2(2002), 287-296.

3. Zhong-Zhi Bai, Qiu Shouxia, Splitting-MINRES methods for linear systems with the coefficient matrix with a dominant indefinite symmetric part, Mathematica Numerica Sinica, 24:1(2002), 113-128.(In Chinese)

4. Zhong-Zhi Bai, D.J. Evans, Matrix multisplitting methods with applications to linear complementarity problems: Parallel asynchronous methods, International Journal of Computer Mathematics, 79:2(2002), 205-232.

5. Zhong-Zhi Bai, Huang Yuguang, Relaxed asynchronous iterations for the linear complementarity problem, Journal of Computational Mathematics, 20:1(2002), 97-112.

6. Zhong-Zhi Bai, Zhang Shaoliang, A regularized conjugate gradient method for symmetric positive definite system of linear equations, Journal of Computational Mathematics, 20:4(2002),437-448.

7. Zhong-Zhi Bai, Experimental study of the asynchronous multisplitting relaxation methods for the linear complementarity problems, Journal of Computational Mathematics, 20:6(2002).

8. Li-Qun Cao,J.Z.Cui£¬D.C.Zhu, Multiscale asymptotic analysis and numerical simulation for the second order Helmholtz equations with rapidly oscillating coefficients over general domains, to appear in SIAM J. Numer.Anal., 2002.

9. Li-Qun Cao, J.Z.Cui, AND DE-CHAO ZHU, Multiscale Asymptotic Analysis and Numerical Simulation for the Second Order Helmholtz Equations with Rapidly Oscillating Coefficients over General Convex Domains, SIAM J. Numer. Anal. Vol.0,

10. J.B. Chen, M.Z. Qin, Yi-Fa Tang, Symplectic and Multi-Symplectic Methods for the Nonlinear Schroedinger Equation, Computers Math. Applic., 43(8/9), 1095-1106(2002).

11. J.B. Chen, Yi-Fa Tang,A.G. Xiao, Is the Formal Energy of the Mid-Point Rule Convergent Computers Math. Applic., 2002, 43(8/9), 1171-1181.

12. Zhongying Chen, Ronghua Li, Aihui Zhou, A Note on the Optimal L2-Estimate of the Finite Volume Element Method. Adv. Comp. Math.,(2002)16, 291-303.

13. Z. Chen and S. Dai: On the efficiency of adaptive finite element methods for elliptic problems with discontinuous coefficients, SIAM J. Sci. Comput. 24 (2002), 443-462.

14. Zhiming Chen, On the efficiency of adaptive finite element methods for elliptic problems with discontinuous coefficients, SIAM J. Sci. Comput. 24 (2002), 443-462.

15.Zhiming Chen, A mixed multiscale finite element method for elliptic  problems with oscillating coefficients,  with T. Hou, Math. Comp. 72 (2002), 541-576.

16.Y.H.Dai,L.Z. Liao, R-Linear Convergence of the Barzilai and Borwein Gradient Method,IMA Journal of Numerical Analysis, (2002) 22, 1-10.

17. Y.H.Dai£¬On the Nonmonotone Line Search,Journal of Optimization Theory and Applications, (2002), 112 (2), 315-330.

18. Y.H.Dai, J.Y. Yuan, and Y. Yuan£¬ Modified Two-point Stepsize Gradient Methods for Unconstrained Optimization, Computational Optimization and Applications, 22 (2002), 103-109.

19. Y.H.Dai, A Nonmonotone Conjugate Gradient Algorithm for Unconstrained Optimization, Journal of Systems Science and Complexity, (2002) 15(2), 139-145.

20. Y.H.Dai, Conjugate Gradient Methods with Armijo-type Line Searches, Acta Mathematicae Applicatae Sinica, English Series,,18(1) (2002), 123-130.

21. Qiang Du, J. Remski, Limiting models for Josephson junctions and superconducting weak links, J. Math Anal Appl, 266(2002), 357-382.

22. Qiang Du, M. Gunzburger and L., Ju, Meshfree, Probabilistic Determination of Points, Sets and Support Regions for Meshless Computing, Computer Methods in Applied Mechanics and Engineering, 191(2002), 1349-1366.

23. Jialin Hong, Qin Meng-Zhao, Multi-symplecticity of centred box discretization for Hamiltonian PDEs with m2 space dimension, Applied Mathematics Letters,15(2002), 1005-1011.

24. Weimin Han, Lie-Heng Wang£¬Nonconforming Finite Element Analysis for a Plate Contact Problem, Siam J. Numer Anal,2002, Vol.40, No.5,1683-1697.

25. Qi-Ya Hu and Jun Zou, An iterative method with variable relaxation parameters for saddle-point problems, SIAM J. Matrix Anal. & App., 2002, Vol.23, No.2,317-338.

26. Qi-Ya Hu, De-hao Yu,A Preconditioner for Coupling System of Natural Boundary Element and Composite Grid Finite Element,Journal of Computational Mathomatics,Vol.20,No.2,2002,165-174.

27. Qi-Ya Hu£¬Guoping Liang, Acceleration of the non-symmetrized two-level iteration, Appl. Numer. Math., 41(2002), 305-323.

28. Qi-Ya Hu,A Preconditioner for Domain Decomposition Methods With Mortar Lagrange Multipliers, Journal of Systems Science and Complexity, Vol.15,No.4,384-395.

29. Qi-Ya Hu,Jun Zou,Two New Variants of Nonlinear Inexact Uzawa Algorithms for Saddle-Point Problems, Numer.Math.(2002)93,333-359.

30. Xing-Biao Hu, Johan Springael, A Backlund Transformation and nonlinear superposition formula for the Lotka-Volterra hierarchy, ANZIAM Journal, 44£¨2002£©, 121-128.

31. Xing-Biao Hu, P. A.Clarkson, Rational Solutions of an Extended Lotka-Volterra Equation, Journal of Nonlinear Mathematical Physics, 9(2002), suppl.1,75-86.

32. Xing-Biao Hu, Wen-Xiu Ma, Application of Hirota¡¯s bilinear formalism to the Toeplitz lattice-some special soliton-like solutions, Physics Letters A, 293(2002),161-165.

33. Hon-Wah Tam,Xing-Biao Hu,Soliton solutions and Backlund transformations for the Kupershmidt five-field lattice: a bilinear approach, Applied Mathematics Letters, 15(2002) (8), , 987-993.

34. Hon-Wah Tam, Xing-Biao Hu, Xian-Min Qian, Remarks on several 2+1 dimensional lattices, Journal of Mathematical Physics, 2002, 43(2), 1018-1028.

35. Claire R. Gilson, Xing-Biao Hu, Stephen Barnett, On multiple soliton solutions of some simple differential-difference equations, Inverse Problems, 2002, 18(6),1499-1508.

36. C.Y.Ho,Li Yuan, M.-C.Chu, and P.T.Leung, Ionization and photon emission in single-bubble sonoluminescence, Europhys. Lett.£¬56(6), 891-897(2001).

37. C.Y.Ho, Li Yuan and M.-C.Chu, P.T.Leung and W.Wei, Effects of ionization in single-bubble sonoluminescence, Physical Rev.E.Vol. 65, No. 041201, (2002). 1-12.

38. Li Yuan, Comparison of implicit multigrid scheme for three-dimensional incompressible flows, Journal of Computational Physics, 177 (2002), 1-22.

39. Liao Anping, Zhong-Zhi Bai, Least-squares solutions of the matrix equation A¡¯XA=D in bisymmetric matrix set, Mathematica Numerica Sinica, 24:1(2002), 9-20. (In Chinese)

40. Liao Anping, Zhong-Zhi Bai, On the construction of positive definite Jacobian matrix from two eigenpairs, Journal of Numerical Methods and Computer Applications, 23:2(2002), 131-138.

41. Liao Anping, Zhong-Zhi Bai, The constrained solutions of two matrix equations, Acta Mathematica Sinica, English Series, 18:4(2002), 671-678.

42. Ping-Bing Ming£¬Zhong-Ci Shi, Optimal L error bounds for MITC 3type element, Numer. Msth. 91(2002),77-91.

43. Ping-Bing Ming, Quadri Lateral Mesh,, Chin Ann. 23(2002) 235-252.

44. Yi-Fa Tang, A Note on the Construction of Symplectic Schemes for Splitable Hamiltonian H=H_1+H_2+H_3, J. Computa. Math., 2002, 20(1), 89-96.

45. Yi-Fa Tang, Expansion of Step-Transition Operator of Multi-Step Method and Its Applications (I), J. Computa. Math., 20(2),2002,185-196.

46. Yi-Fa Tang, Symplectic Computation of Hamiltonian Systems (I), J. Computa. Math., 2002, 20(3), 267-276.

47. Yi-Fa Tang, Expansion of Step-Transition Operator of Multi-Step Method and its Applications (II), J. Computa. Math., 2002, 20(5), 461-478.

48. Lie-Heng Wang,On the Quadratic Finite Element Approximation to the Obstacle Problem, Numerische Mathematik, Vol,92, 4(2002), 771-778.

49. Guang-Hui Wang Lie-Heng Wang, UZAWA Type Algorithm Based on Dual Mixed Variational Formulation, Applied Mathematics and mechanics, 2002, Vol.23 No.7,765-772.

50. Ai-Guo Xiao and Yi-Fa Tang(唐贻发), Symplectic properties of multistep Runge-Kutta methods. Comput. Math. Appl. 44 (2002), no. 10-11, 1329-1338.

51.Guo-Liang Xu,C. L. Bajaj, R. J. Holt, A. N. Netravali, Hierarchical Multiresolution Reconstruction of Shell Surfaces Computer Aided Geometric Design, 19:2(2002), 89-112.

52. Guo-Liang Xu,C. L. Bajaj, S. Schaefer, J. Warren£© A Subdivision Scheme for Hexahedral Meshes£¬The Visual Computer, 2002, 18:343-356.

53. Guo-Liang Xu,C. L. Bajaj, Acoustics Scattering on Arbitrary Manifold Surfaces Using Recursive Subdivision in Proceedings of Geometric Modeling and Processing , Theory and Application 2002, Japan, 73-82.

54. Guo-Liang Xu,C. L. Bajaj and Susan Evans, C Modeling with Hybrid Multiple-sided A-patches, International Journal of Foundations of Computer Science, 13:2, (2002), 261¡ª284.

55. Jinchao Xu,Aihui Zhou, Local and Parallel Finite Element Algorithms for Eigenvalue Problems, Acta Mathematicae Applicatae Sinica, English Series, (2002)18, 185-200.

56. Xue-Jun Xu, Likang Li, Wenbin Chen, A multigrid method for the Mortar-type Morley element approximation of a plate bending problem, SIAM J. Numer. Anal., 2002.

57. Jinru Chen, Xue-Jun Xu, Mortar finite element method for rotated Q1 element, J. Comput .Math., 2002.

58. De-hao Yu,Qi-Kui Du, A domain decomposition method based on natural boundary reduction for nonlinear time-dependent exterior wave problems , Computing, 68(2002), 111-129.

59. De-hao Yu,Tong Kang, Some a posteriori error estimates of the finite-difference streamline-diffusion method for convection-dominated diffusion equations, Advances in computational Mathematics, 15(2001),193-218.

60. De-hao Yu,Qi-Ya Hu£¬A preconditioner for coupling system of natural boundary element and composite grid finite element£¬J. Comput. Mathematics,20:2,2002, 165-174.

61. De-hao Yu, A posteriori error estimate of the DSD method for first-order hyperbolic equations, Applied Mathematics and Mechanics, 23:6(2002), 732-740.

62. De-hao Yu,Qi-Kui Du, Natural boundary element method for elliptic boundary value problems in domain with concave angle,J.of Marine Science and Technology, 9:2(2001), 75-83.

63. Y.Yuan,Y.H. Dai, An efficient hybrid conjugate gradient method for unconstrained optimization, Annals of OR, 103(2001) 33-47.

64. Y.Yuan,J.W. Nie , A predictor-corrector algorithm for QSDP combing Dikin-type and Newton centering steps, Annals of OR, 103(2001) 115-133.

65. Y.Yuan,Y.F. Wang, H.C. Zhang, A trust region-CG algorithm for deblurring problem in atmospheric image reconstruction, Science in China, 45(2002) 731-740.

66. Y.Yuan,Y.F. Wang, On the regularity of a trust region-CG algorithm for nonlinear ill-posed inverse problems, in: T. Sunada, P.W. Sy and Y. Lo eds., Proceedings of the Third Asian Mathematicial Conference 2002,(World Scientific, Singapore, 2002).562-580.

67. Yuhong Dai,Jinyun Yuan, Y.Yuan,Modified Two-Point Stepsize Gradient Methods for Unconstrained Optimization, Computaional Optimization and Application, 22(2002),103-109.2002.

68.Y.J. Shan, J.Z. Cui and F.G. Liang,  Expected Slide Path Method For Stability Analysis of Rock Mass Based on Statistics Model of Joints and Stress Field, Chinese Journal of Rock Mechanics and Engineering, Vol.21, No.2, 2002, 151-157.

69. J.R.Chen, J.Z.Cui, Two-Scale Curved Element Method for Elliptic Problems with Small Periodic Configurations, J. Comp. Math., Vol.20, No.4, 2002, 381-390.

70. W.M. He, J.Z. Cui, Q.D. Zhu, An Improved Method on Super-convergence and Extrapolation, Mathematica Numerica Sinica, Vol.24, No.3, 2002.327-334.

71. J.R. Chen, J.Z.Cui,A Multi-Scale Rectangular Element Method for Elliptic Problems with Entirely Small Periodic Coefficients, Applied Math. And Comp.,130(2002), 39-52.

72. Qiu-hui Chen,Jin-Zhao Liu,Wen-Sheng Zhang,A note on vector cascade algorithm Journal of Computational Mathematics 2002,Vol.20,No.4,363-372.

73. Jiu Ding,Aihui Zhou,StructurehPreserving Finite Element Approximations of Markov Operators. Nonlinearity, (2002)15, 923-936.

74. Aihui Zhou,An Analysis of Some High Accuracy Finite Element Methods for Hyperbolic Problems, SIAM J. Numer. Anal., (2002) 39,1014-1028.


Papers published in proceedings of symposia and conferences :

1. Zhong-Zhi Bai, Convergence of asynchronous multisplitting two-stage relaxation methods for block systems of weakly nonlinear equations, In Proceedings of the Fifth China-Japan Seminar on Numerical Mathematics, Z.-C. Shi and H. Kawarada eds., Science Press of China, Beijing/New York, (2002), 1-14.

2. J.Z. Cui,21-st Century Oriented Computer Aided Engineering, Invited Presentation on®International Seminar on spail High technology, Jan. 22-24/2002, Beijing, Proceedings of®International Seminar on Rail High technology, 133-153.

3. Qiang Du, M. Gunzburger, Centroidal Voronoi Tessellation Based Proper Orthogonal Decomposition Analysis, Proc. of 2002 ASME fluids engineering division summer meeting (FEDSM'02), 2002, 31-52.

4. Qi-Ya Hu,A New Kind of Preconditioner for Interface Eguations of Mortar Multipliers on Subspaces, Recentprogress in computational and Applied pdes Conference proceedings for the International Conference Held in Zhangjiajie in July 2001,203-214, Kluwer Academic Publishers.

5. De-hao Yu,Long-Hua Zhao, Analysis of hypersingular residuals and a posteriori error estimates in boundary element methods, Boundary Element Techniques, Proc. of 3rd Inter. Conf. on Boundary Element Techniques, Eds. Z. Yao & M.H. Aliabadi, Tsinghua University Press/Springer, 2002, 261-266.

6. De-hao Yu and Hai-Bo Chen, E. Schnack, Properties of boundary integral operators in collocation BEM error estimation, Advances in Computational Engineering & Sciences, Proc. of ICES'02,Eds. S.A. Atluri & D.W. Pepper, Tech. Science Press, 2002.

7. Y.D. Feng, Y.S. Wang, J.Z.Cui, Transient BEM Analysis of Plane Wave Scattering from an Inclusion with an Unilateral Frictional Contact Interface, Proc.3-rd Intern. Conf. On BeTeQ, Sep.10-12,2002, Beijing, Boundary Element Techniques,Tsinghua University Press Springer, 2002,27-33.


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