Publications  of  2004:

Monographs and printed lecture notes :

1.王烈衡, 许学军, 有限元方法的数学基础,科学出版社,2004.

Papers published in research journals :

1. Hengbin An and Zhongzhi Bai(白中治), Broyden method for nonlinear equation in several variables, Mathematica Numerica Sinica, 26:4 (2004), 385-400. (In Chinese)

2. O. Axelsson, Zhongzhi Bai (白中治) and Shouxia Qiu, A class of nested iteration schemes for linear systems with a coe_cient matrix with a dominant positive definite symmetric part, Numerical Algorithms, 35:2-4(2004), 351-372. (SCI/EI) 

4. Zhongzhi Bai(白中治), G.H. Golub and Jianyu Pan, Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite linear systems, Numerische Mathematik, 98:1(2004), 1-32. (SCI/EI)

5. Zhongzhi Bai(白中治) and Li Wang, Skew-Hermitian triangular splitting iteration methods for non-Hermitian positive definite linear systems of strong skew-Hermitian parts, BIT Numerical Mathematics, 44:2(2004), 363-386. (SCI/EI )

6. Zhongzhi Bai(白中治), Guiqing Li and Linzhang Lu, Combinative preconditioners of modified incomplete Cholesky factorization and Sherman-Morrison-Woodbury update for self-adjoint elliptic Dirichlet-periodic boundary value problems, Journal of Computational Mathematics, 22:6(2004), 833-856. (SCI/EI )

7.Zhongzhi Bai(白中治),Construction and analysis of structured preconditioners for block two-by-two matrices, Journal of Shanghai University (English Edition), 8:4(2004), 397-405.

8. G. Bao and Aihui Zhou(周爱辉), Analysis of finite dimensional approximations to a class of partial differential equations, Mathematical Methods in the Applied Sciences, 27 (2004), 2055-2066. SCI

9. Li-Qun Cao（曹礼群）and Jun-Zhi Cui, Asymptotic expansions and numerical algorithms of eigenvalues and eigenfunctions of the Dirichlet problem for second  order elliptic equations in perforated domains , Numer. Math. (2004), 96:525-581,  SCI

10. Li-Qun Cao（曹礼群）, Asymptotic expansion  and  convergence theorem of control and observation on the boundary for second order elliptic equation with highly oscillatory coefficients,  Mathematical  Models  & Methods in Applied Sciences (2004), 14(3): 417-437, SCI

11. 曹礼群, 罗剑兰, 复相介质及界面结构温度场的多尺度计算, 工程热物理学报(2004), 25(6): 926-928, EI

12. Zhiming Chen (陈志明) and Jianhua Yuan, On finite element methods for inhomogeneous dielectric waveguides, J. Comput. Math. 22 (2004), 188-199. SCI

13. Zhiming Chen (陈志明) and Guanghua Ji, Adaptive computation for convection dominated diffusion problems, Science in China （Series A） Mathematics, 47 (2004) Supp. 22-31. SCI

14. Zhiming Chen (陈志明) and Feng Jia, An adaptive finite element algorithm with reliable and efficient error control for linear parabolic problems, Math. Comp. 73 (2004), 1167-1193. SCI

15.J.R. Chen and J.Z. Cui（崔俊芝）, “Two-scale finite element method for non-self-adjoint elliptic problems with rapidly oscillatory coefficients”, Applied Mathematic and Computation, 150(2004), 585-601. SCI.

16. 程强,张林波,王斌，模式伴随化的基本规则及其代价分析，中国科学 E，34（6），601-618. SCI

17. Q.K. Du and D.H. Yu（余德浩）, Schwarz alternating method based on natural boundary reduction for time-dependent problems on unbounded domains, Comm. Numer. Meth. Engrg, 20(2004), 363--378. SCI, EI

18. Qiang Du（杜强） and W. Zhu, Stability analysis and applications of the exponential time differencing schemes , J. Computational Math. 22,  pp200-209, 2004.  SCI

19.Qiang Du（杜强） and D. Wang, Boundary recovery for three dimensional conforming Delaunay triangulation, Comp. Meth. Appl. Mech. Engr, 193, pp.2547-2563, 2004。 EI

20. W. E and P. B. Ming（明平兵）, Analysis of Multiscale problem, Journal of Computational Mathematics, 22:1(2004), 210-219. SCI

21. Yongping Feng and Junzhi Cui（崔俊芝）, “Multi-Scale FE computation for the structure of composite materials with small periodic configuration under condition of thermo-elasticity”, ACTA MECHANICAL SINICA, Vol.20, No.1, February 2004, 54-63. SCI

22. Fu Dexun, Ma Yanwen, Zhang Linbo(张林波) and Tian baolin，Numerical simulation of Richtmyer-Meshkov instability，Science in China A，47 Supp.，234-244.SCI

23.何文明，崔俊芝，“一类特殊的椭圆型问题的高效蒙特卡罗算法”，系统科学与数学，Vol.24, No.2, 2004,4, 210-217. He Wenming, Cui Junzhi, “A high efficient Monte-Carlo method for a special kind of elliptic problem” , J. Sys. Sci. & Math. Scis., Vol.24, No.2, 2004,4, 210-217.

24.何文明，崔俊芝，“针对字符串等复杂数据的一种新的高效分档混合排序算法”，小型微型计算机系统，Vol.25, No.4, 2004, 698-701. He Wen-ming, CUI Junzhi, “New high efficient sorting algorithm by grading to character string data”, MINI-MICRO SYSTEMS, Vol.25, No.4, 2004, 698-701. EI.

25. Jialin Hong(洪佳林) and Ying Liu, Multisymplecticity of the central box scheme for a class of Hamiltonian PDEs and an application to quasi-periodically solitary waves, Math. Comp. Model., 39 (2004) 1035- 1047  SCI

26. Xing-Biao Hu（胡星标）, Jun-Xiao Zhao and Hon-Wah Tam, Pfaffianization of the two-dimensional Toda lattice. J. Math. Anal. Appl., 96 (2004),no.1 256-261. SCI

27. Q.Y. Hu, Z.C. Shi and D.H. Yu（余德浩）, Efficient solvers for saddle-point problems arising from domain decompositions with Lagrange multipliers, SIAM J. Numer. Anal., 42:3(2004), 905--933. SCI

28. Chun-Xia Li, Xing-Biao Hu（胡星标）and Jun-Xiao Zhao, Gramm-type Pfaffian solutions to three differential-difference coupled systems, Inverse Problems, 20(2004),1293-1306. SCI

29. Chun-Xia Li and Xing-Biao Hu（胡星标）, Pfaffianization of the semi-discrete Toda equation, Phys. Lett., A 329(2004), 193-198. SCI

30. Y.Y. Li and J.Z. Cui（崔俊芝）, “Two-scale analysis method for predicting heat transfer performance of composite materials with random grain ditribution”, Science in China Ser. A Mathematics, 2004, Vol.47 Supp. 101-110. SCI.

31. 李友爱，崔俊芝，“复合材料热传导问题的多尺度分析方法”，‘应用力学进展’－祝贺郑哲敏先生八十华诞，洪友士主编，科学出版社，北京，2004, PP132-139.

32. Xian-Min Qian, Sen-Yue Lou and Xing-Biao Hu（胡星标）, Variable separation approach for a differential-difference system: special Toda equation. J. Phys. A, 37 (2004), no.6, 2401-2411. SCI

33. Xian-Min Qian, Sen-Yue Lou and Xing-Biao Hu（胡星标）,Variable separation approach for a differential-difference asymmetric Nizhnik-Novikov-Veselov equation, Zeitschrift für Naturforschung, 59A(2004),645-658. SCI

34.  Zhongci Shi（石钟慈） and Jun Hu, On the convergence of Weissman-Taylor element for R-M plate, Inter. J. Numer. Anal. Modeling, 1, 65-73,2004

35. Zhong-Ci Shi, Xuejun Xu(许学军), and H. Man, Cascadic multigrid for  finite volume element methods for  elliptic problems, J. Comput. Math., (22)2004, 905-920.SCI

36. Yajuan Sun（孙雅娟） and Mengzhao Qin, A multisymplectic scheme for RLW equation, Journal of Computational Mathematics, 22:4(2004), 611-621. SCI

37. R. Talal, Xuejun Xu(许学军), and R.H. Hoppe, On an additive Schwarz Preconditioner for the Crouzeix-Raviart Mortar Finite Element, Lecture Notes in Computational Science and Engineering, (40)2004,335-345. SCI

38. Lieheng Wang(王烈衡) and He Qi, A locking-free scheme of nonconforming retangular finite element for the planar elasticity, JCM Vol. 22, No. 5, pp 641-650, 2004. SCI

39.  Z.P. Wu and D.H. Yu（余德浩）, The coupling of natural boundary element and finite element for semilinear boundary value problems, Math. Numer. Sinica, 26:2 (2004), 237--246.

40. Z.P. Wu. T. Kang and D.H. Yu（余德浩）, On the coupled NBEM and FEM for a class of nonlinear exterior Dirichlet problem in R^2, Science in China, Series A, Mathematics, 47, Supp., Apr. 2004, 181--189. SCI, EI 

41. Aiguo Xiao & Yifa Tang (唐贻发), Runge-Kutta-Nyström Methods, Computers Math. Applic., 47(4/5)(2004), 569-582. SCI

42. Guoliang Xu (徐国良) , Discrete Laplace-Beltrami operators and their convergence, Computer Aided Geometric Design, 21(2004), 767--784. SCI

43. Guoliang Xu (徐国良) , Surface Fairing and Featuring by Mean Curvature Motions, Journal of Computational and Applied Mathematics, Vol 163/1(2004), pp 295-309 .SCI

44. Y. Xu and Aihui Zhou(周爱辉), Fast Boolean approximation methods for solving Integral equations in high dimensions, Journal of Integral Equations and Applications，16(2004), 83-110 . SCI

45.D.H. Yu（余德浩）, Natural boundary integral method and its new development, J. Comput. Math., 22:2(2004), 309--318. SCI, EI

46. D.H. Yu（余德浩）and L.H. Zhao, Natural boundary integral method and related numerical methods, Engrg. Anal. with BE, 28:8(2004), 937--944. SCI, EI

47.D.H. Yu（余德浩）, Natural boundary integral equations and related computational methods, J. of Yanshan Univer., 28:2(2004), 111-113.

48. Li Yuan（袁礼）, Numerical study of multiple periodic flow states in spherical Couette flow,  Science in China Ser. A -Mathematics, 47, Supp. (2004), 81-91.  SCI

49. Y. Yuan(袁亚湘), Z.H. Wang and Z.W. Wen , A subspace trsut region method for large scale unconstrained optimization, Numerical Linear Algebra and Optimization (Science Press, Beijing/NewYork, 2004) pp. 265-274.

50.  Zhang Linbo(张林波),Chen Shiyi,Li Xinliang etc，The Teracluster LSSC--II - Its Designing Principles and Applications in Large Scale Numerical Simulations，Science in China A，47 Supp.，53-68.  SCI

51.张文生，宋海斌，崔兴福，双平方根算子波场外推叠前偏移速度分析，石油物探，2004，43（4）：313－318。国内核心刊物

52.Jun-Xiao Zhao, Chun-Xia Li and Xing-Biao Hu（胡星标）, Pfaffianization of the differential-difference KP equation. J. Phys. Soc. Japan, 73 (2004), no.5, 1159-1163. SCI

53.  Aihui Zhou(周爱辉), An analysis for finite dimensional approximations for the ground state solution of Bose-Einstein condensates, Nonlinearity, 17(2004),   541-550. SCI

Papers published in proceedings of symposia and conferences :

1. Qing Pan, Guoliang Xu (徐国良) , Fast Evaluation of the Improved Loop's Subdivision Surfaces (with Pan Qing), Proceedings of Geometric Modelling and Processing (GMP2004), 205—214 (EI, 国际会议论文)

2. Guoliang Xu (徐国良) , The Convergent Discrete Laplace-Beltrami Operator over Triangular Surfaces, Proceedings of Geometric Modelling and Processing (GMP2004), 195--204. (EI, 国际会议论文)

3. Li Yuan （袁礼）, Numerical simulation of spiral and wavy vortex flows in spherical gaps,  in: Recent Advances in Fluid Mechanics, Proceedings of the fourth International Conference on Fluid Mechanics, Dalian China, July 20-23, 2004, pp.88. (ISTP).

4. Li Yuan (袁礼)，Ping He and Lei Zhang,  Multicomponent compressible flow simulation using the ghost fluid method, The Sixth World Congress on Computational Mechanics in Conjunction with the Second Asian-Pacific Congress on Computational Mechanics, Beijing, China, Sept.5-10, 2004. pp.163  (ISTP).

5. Huanxi Zhao , Guoliang Xu (徐国良), Surface fairing using diffusion and Gaussian curvature flow , The Proceedings of International Symposium on Computing and Information (ISC&I 2004), vol. 2, 1092—1096 (EI, 国际会议论文).