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

9. 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.

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

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

12.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.

13. 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.

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

15. 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.

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

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

18. 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.

19. 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.

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

21. 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.

22. 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.

23. 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.

24. 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.

25. 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.

26. 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).

27. C.Y.Ho, Li Yuan, 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.

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

29. 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)

30. 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.

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

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

33. 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.

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

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

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

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

38. 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.

39. 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.

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

41. 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.

42. 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.

43. 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.

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

45. 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.

46. 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.

47. 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.

48. 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.

49. 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.

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

51. 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.

52. 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.

53. 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.

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

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. 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.

3. De-hao Yu, 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.