Publications  of  2006:

Monographs and printed lecture notes:

1. Y.H.Dai and D. H. Li, Special issue on Conjugate Gradient and Quasi-Newton Methods for Nonlinear Optimization,Pacific Journal of Optimization, Vol. 2, No. 1 (2006), .

2. W.Y. Sun and Y. Yuan, Optimization Theory and Methods: Nonlinear Programming, Springer, 2006.

3.丁玖、 (周爱辉) , 确定性系统的统计性质,清华大学出版社, 2006 年

4. (张文生)编著,科学计算中的偏微分方程有限差分法, 北京, 高等教育出版社.2006.

Papers published in research journals:

1. Zhong-Zhi Bai( 白中治), Xiao-Xia Guo and Shu-Fang Xu, Alternately linearized implicit iteration methods for the minimal nonnegative solutions of nonsymmetric algebraic Riccati equations, Numerical Linear Algebra with Applications , 13,8(2006), 655-674. SCI/EI

2. Zhong-Zhi Bai(白中治),   Structured preconditioners for nonsingular matrices of block two-by-two structures, Mathematics of Computation , 75,254(2006), 791-815. SCI/EI

3. Zhong-Zhi Bai(白中治), Gene H. Golub and Chi-Kwong Li, Optimal parameter in Hermitian and skew-Hermitian splitting method for certain two-by-two block matrices, SIAM Journal on Scientific Computing , 28,2(2006), 583-603. SCI/EI

4 . Yuan-Bei Deng, Zhong-Zhi Bai( 白中治) and Yong-Hua Gao, Iterative orthogonal direction methods for Hermitian minimum norm solutions of two consistent matrix equations, Numerical Linear Algebra with Applications , 13,10(2006), 801-823. SCI/EI

5.Li-Qun Cao( 曹礼群), Multiscale asymptotic expansion and finite element methods for the mixed boundary value problems of second order elliptic equation in perforated domains, Numer. Math. 103 (2006),11-45.SCI.

6.Li-Qun Cao (曹礼群)Jun-Zhi Cui, and Chong-Yu Wang, Multiphysical modeling and a transscale computation of composite materials and their interfaces, International Journal for Multiscale Computational Engineering, 4(1), 47-69.2006, SCI

7. Zhiming Chen (陈志明) and G.H. Ji, Sharp $L^1$ a posteriori error analysis for nonlinear convection-diffusion problems, Mathematics Computation, 75( 2006 ), 43-71. SCI

8.HaijunWu and Zhiming Chen (陈志明), Uniform convergence of multigrid V-cycle on adaptively refined meshes for second order elliptic problems, Science on China, Series A, Mathematics, 49 (2006), 1405-1429. SCI.

9. Zhiming Chen (陈志明) Recent advances of upscaling methods for the simulation of flow transport through heterogeneous porous media, Journal of Computational Mathematics 24 (2006), 393-400. SCI.

10.Zheng Weiying, Zhiming Chen (陈志明) and Long Wang, An adaptive finite element method for the H-\psi formulation of time-dependent eddy current problems, Numer. Math., 103 (2006), 667-689. SCI.

11.Y.H. Dai (戴彧红), Fast Algorithms for Projection on an Ellipsoid, SIAM J. Optimization, 16 (4 )(2006), 986-1006. SCI.

12.Y.H. Dai (戴彧红) and R. Fletcher , New Algorithms for Singly Linearly Constrained Quadratic Programs subject to Lower and Upper Bounds, Mathematical Programming, 106 (3)(2006),403-421. SCI.

13..Y.H.Dai (戴彧红) W. Hager, K.Schittkowski and H.C.Zhang , The cyclic Barzilai-–Borwein method for unconstrained optimization, IMA Journal of Numerical Analysis, 26(3) (2006), 604-627. SCI

14.Y.H. Dai (戴彧红) and X.Q. Yang , A New Gradient Method with an Optimal Stepsize Property, Computational Optimization and Applications, 33(1) (2006), 73-88. SCI/ EI.

15.B. Zhou, L. Gao, Y. H.Dai (戴彧红) , Gradient Methods with Adaptive Step-Sizes, Computational Optimization and Applications, 35(1)(2006), 69-86. SCI/ EI

16.B . Zhou , L. Gao, Y.H. Dai (戴彧红) , Monotone Projected Gradient Methods for Large-Scale Box-Constrained Quadratic Programming, Sciences in China (Series A), 49(5) (2006), 688-702. SCI.

17.Jialin Hong (洪佳林) Ying Liu, Hans Munthe-Kass and Antonella Zanna, Globally conservative properties and error estimation of a multi-symplectic scheme for Schrödinger equations with variable coefficients.Appl. Numer. Math. 56 (6)(2006), 814-843,SCI.

18.Jialin Hong, (洪佳林) Hongyu Liu and Geng Sun, The multi-symplecticity of partitioned Runge-Kutta methods for Hamiltonian PDEs. Math. Comp. 752(53) (2006),167-181, SCI.

19.Jialin Hong (洪佳林) and Chun Li, Multi-symplectic Runge-Kutta methods for nonlinear Dirac equations.J. Comput. Phys. 211 ( 2)(2006), 448-472 ,SCI.

20.Jialin Hong; (洪佳林) Rudolf Scherer; Lijin Wang, Midpoint rule for a linear stochastic oscillator with additive noise, Neural, Parallel & Scientific Computations 14 (2006) 1-12,SCI.

21.Qiya Hu (胡齐芽) and Jun Zou, Nonlinear Uzawa iterative methods for linear and nonlinear saddle point problems, SIAM J. Optim., 16(3)(2006), 798-825,SCI.

22.Xing-Biao Hu (胡星标), Hong-Yan Wang, Construction of dKP and BKP equations with self-consistent sources. Inverse Problems . 22 (2006),1903-1920. SCI.

23.Gegenhasi,Xing-Biao Hu (胡星标) ,Decio Levi , On a discrete Davey-Stewartson system.Inverse Problems, 22 (2006),1677-1688. SCI.

24.Xing-Biao Hu (胡星标) , Jun-Xiao Zhao, Chun-Xia Li, Matrix integrals and several integrable differential-difference systems, J. Phys. Soc. Japan 75(2006), 054003, SCI.

25.Gegenhasi Xing-Biao Hu ( 胡星标),On an integrable differential-difference equation with a source, J. Nonlinear Math. Phys. 13 (2)(2006),183-192. SCI.

26.Shu-Qiang Lü, Xing-Biao Hu (胡星标) ,Q.P. Liu, A supersymmetric Ito's equation and its soliton solutions. J. Phys. Soc. Japan, 75(2006), 064004, SCI.

27.Zhongze Li( 李忠泽) and Yousef Saad, "SchurRAS, A Restricted Version of the Overlapping Schur Complement Preconditioner", SIAM Journal on Scientific Computing, 27(5)(2006),1787-1801, SCI.

28.Jingtang Ma(马敬堂) and Hermann Brunner, Abstract cascading multigrid preconditioners in Besov spaces , Commun. Pure Appl. Anal., 5 (2006), 349-365. SCI.

29.Jingtang Ma(马敬堂)and Hermann Brunner, A posteriori error estimates of discontinuous Galerkin methods for non-standard Volterra integro-differential equations , IMA J. Numer. Anal., 26 (2006), 78-95. SCI .

30.Houde Han, Liang Zhu, Hermann Brunner, and Jingtang Ma(马敬堂), Artifficial boundary conditions for parabolic Volterra integro-differential equation on unbounded two-dimensional spatial domains , J. Comp. Appl. Math., 197 (2006), 406-420. SCI.

31.P. B. Ming(明平兵) and Z.-C. Shi(石钟慈), Analysis of some low order quadrilateral Reissner-Mindlin plate elements, Math. Comp. 75 (2006), 1043-1065.SCI.

32.P. B. Ming (明平兵) and X.Y. Yue, Numerical methods for multiscale elliptic problems, J. Comput. Phys. 214 (2006), 421-445.SCI.

33.P. B. Ming (明平兵) Z.-C. Shi (石钟慈)and Y. Xun, Superconvergence studies of quadrilateral nonconforming rotated Q1 elements, Int. J. Numer. Anal. & Models,3 (2006), 322-333.

34.J.G. Huang, Z.-C.Shi (石钟慈) and Y.F.Xu, Finite element analysis for general elastic multi-structures, Sci.China Ser.A,49(1)(2006),109-129 .SCI.

35.L.Guo,J.G.Huang and Z.-C.Shi (石钟慈) , Remarks on error estimates for the TRUNC plate element, J.Comput.Math,24(1(2006) ),103-112.SCI .

36.Y.H.Man and Z.-C.Shi (石钟慈) , $P\sb 1$-nonconforming quadrilateral finite volume element method and its cascadic multigrid algorit, J.Comput.Math,24(1)(2006) , 59-80.SCI.

37.J.Hu and Z.-C.Shi (石钟慈) , The generalized maximum angle condition for the $\scr Q\SB1$Isoparametric element, J.Comput.Math,24(1)(2006),1-8.SCI.

38.Q.D. Feng & Y.F. Tang (唐贻发) Expansions of Step-transition Operators of Multi-step Methods and Order Barriers for Dahlquist Pairs, J. Computa. Math. , 24(1)(2006), 45-58 . SCI.

39.S.W. Zheng, Y.F. Tang (唐贻发) & J.L. Fu, Non-Noether Symmetries and Lutzky Conservative Quantities of Nonholonomic Nonconservative Dynamical Systems, Chinese Physics , 15(2)(2006), 243-248 . SCI.

40.A.G. Xiao & Y.F. Tang(唐贻发) , Equilibrium Attractive Properties of A Class of Multistep Runge-Kutta Methods, Appl. Math. Computa ., 173(2)(2006), 1068-1081 . SCI.

41.H.J. Liu, Y.F. Tang (唐贻发) & J.L. Fu, Algebraic Structure and Poisson's Theory of Mechanico-Electrical Systems, Chinese Physics , 15(8) (2006), 1653-1661. SCI.

42.D.G. Dai & Y.F. Tang(唐贻发) , A Note on Symplecticity of Step-Transition Mappings for Multi-Step Methods, J. Computa. Appli. Math ., 196(2)(2006), 474-477 . SCI.

43.J.L. Fu, L.Q. Chen, S. Jiménez & Y.F. Tang(唐贻发) ,Non-Noether Symmetries and Lutzky Conserved Quantities for Mechanico-Electrical Systems, Physics Letters A , 358(1) (2006), 5-10. SCI.

44.S. Jin and X.Wen(文新) ,Hamiltonian-preserving schemes for the Liouville equation of geometrical optics with discontinuous local wave speeds, J. Comput. Phys. 214 (2006), 672-697. SCI.

45.X.Wen(文新), A steady state capturing and preserving method for computing hyperbolic systems with geometrical source terms having concentrations, J. Comput. Phys. 219 (2006), 322-390. SCI.

46.S. Jin and X.Wen(文新), Computation of transmissions and reflections in geometrical optics via the reduced Liouville equation, Wave Motion 43(8)(2006), 667-688.SCI.

47.S. Jin and X.Wen(文新), A Hamiltonian-preserving scheme for the Liouville equation of geometrical optics with partial transmissions and reflections, SIAM J. Numer. Anal. 44(2006), 1801-1828. SCI.

48.Guoliang Xu(徐国良) and Qin Zhang, Minimal Mean-Curvature-Variation Surfaces and Their Applications in Surface Modeling, Geometric Modelling and Processing -- GMP 2006, Lecture Notes in Computer Sciences, 4077(2006), 357-370. SCI.

49.Yongjie Zhang, Guoliang Xu(徐国良) and C. Bajaj, Quality Meshing of Implicit Solvation Models of Biomolecular Structures, Computer Aided Geometric Design, 23(6)(2006), 510-530. SCI.

50.Guoliang Xu(徐国良) ,and Yingguang Shi, Progressive Computation and Numerical Tables of Generalized Gaussian Quadrature Formulas, J. on Numerical Methods and the Computer Application, 27(1)(2006 ), 9-23, 国内核心.

51.Guoliang Xu(徐国良) and Qing Pan, G^1 Surface Modelling Using Fourth Order Geometric Flows, Computer-Aided Design, 38,4(2006 ), 392-403. SCI .

52.Guoliang Xu, (徐国良) DISCRETE LAPLACE-BELTRAMI OPERATOR ON SPHERE AND OPTIMAL SPHERICAL TRIANGULATIONS, International Journal of Computational Geometry and Application, 16(1)(2006 ), 75--93, SCI .

53.Guoliang Xu(徐国良) ,Convergence Analysis of a Discretization Scheme for Gaussian Curvature over Triangular Surfaces, Computer Aided Geometric Design, 23(2)(2006 ), 193-207.SCI .

54.Guoliang Xu (徐国良) ,Qing Pan and C. Bajaj, Discrete Surface Modelling Using Partial Differential Equations, Computer Aided Geometric Design, 23(2)(2006), 125--145.SCI .

55.Guoliang Xu(徐国良) and Qin Zhang, 计算几何中几何偏微分方程的构造 , 计算数学 , 2006 ,国内核心 .

56.Huanxi Zhao and Guoliang Xu( 徐国良 ): Triangular Surface Mesh Fairing via Gaussian Curvature Flow, Journal of Computational and Applied Mathematics, 195: 1 ( 2006) 300-311, SCI;

57.Y. Jia, Y. Chen and Z. Xu(许志强), Application of Wu elimination method to constrained dynamics,Applied Math. Mech. 2006. SCI.

58.Z. Xu(许志强), R. Feng and J. Sun, Analytic and algebraic properties of canal surfaces , Journal of computational and applied mathematics, 2006.SCI.

59.贾屹峰,陈玉福,(许志强),吴消元法和无特征例法在拉格朗日系统中的应用,中科院研究生院学报, 2006.

60.Lizhen Qi and Xuejun Xu(许学军), On a parallel Robin-type nonoverlapping domain decomposition method, SIAM J. Numer. Anal.,44(2006),2539-2558. SCI.

61.H.Y. Huang and D.H. Yu(余德浩), Natural boundary element method for three dimensional exterior harmonic problem with an inner prolate spheroid boundary, J. Comput. Math., 24(2)(2006), 193-208. SCI /EI.

62.J.E. Yang and D.H. Yu(余德浩), Domain decomposition with nonmatching grids for exterior transmission problems via FEM and DtN mapping, J. Comput. Math., 24,3(2006), 323-342. SCI /EI

63.Z.Z. Dong, S.C. Li, D.H. Yu(余德浩), Boundary integral formula for the elastic plane problem of exterior circular domain, Applied Mathematics and Mechanics, 27(7)(2006), 993-1000. SCI /EI.

64.Y. Yuan(袁亚湘) , A new stepsize for the steepest descent method,Journal of Computational Mathematics Mathematics 24 (2006) ,149-156. SCI.

65.Y. Xia and Y. Yuan, (袁亚湘),A new linearization method for quadratic assignment problems, Optimization Methods and Software 21(2006) ,805-818 .SCI.

66.Y. Yuan(袁亚湘)and Z.Z. Zheng, Disturbed sparse linear equations over 0-1 finite field, Journal of Computational Mathematics 24(2006), 357-364. SCI.

67.Z.H. Wang and Y. Yuan, (袁亚湘),A subspace implementation of quasi-Newton trust region methods for unconstrained optimization, Numerische Mathematik ,104(2006) 241-269. SCI.

68.戴小英、高兴誉、(周爱辉) ,特征值问题的 Davidson 型方法及其实现技术 ,数值计算与计算机应用, 27(2006), 218-240 . 国内核心.

69.Y. Yang and A. Zhou(周爱辉 ) ,Local averaging based a posteriori finite element error control for quasilinear elliptic problems with application to electrical potential computation, Comput. Meth. Mech. Engrg., 196 (2006), 452-465. SCI /EI

70.A. Naga, Z. Zhang, and A. Zhou(周爱辉) , Enhancing eigenvalue approximation by gradient recovery, SIAM J. Sci. Comp., 28 (2006), 1289-1300. SCI.

71.F. Liu and A. Zhou(周爱辉), Two-scale finite element discretizations for partial differential equations, J. Comp. Math., 24 (2006), 373-392. SCI.

72.Y. He, J. Xu, and A. Zhou (周爱辉),Local and parallel finite element algorithms for the Navier-Stokes problems, J. Comp. Math., 24 (2006), 227-238. SCI.

73.D. Mao, L. Shen, and A. Zhou(周爱辉) , Adaptive finite element algorithms for eigenvalue problems based on local averaging type a posteriori error estimates, Adv. Comput. Math., 25 (2006), 135-160. SCI.

74.R. Schneider, Y. Xu, and A. Zhou(周爱辉) , Some analysis of discontinuous Galerkin methods for elliptic problems, Adv. Comp. Math., 25 (2006), 259-286. SCI.

75.L. Shen and A. Zhou(周爱辉), A defect correction scheme for finite element eigenvalues with applications to quantum chemistry, SIAM J. Sci. Comp., 28(2006), 321-338. SCI.

76.H.-T. Huang, Z.-C. Li, and A. Zhou (周爱辉) ,New error estimates of biquadratic Lagrange elements for Poisson's equation, Applied Numer. Math., 56 (2006), 712-244. SCI.

77.郭晓虎、 ( 张林波) ,求解可压 Navier-Stokes方程的对称超紧致分格式及其并行算法,计算物理, 23( 3), 2006, 281-289

78.陈靖、张云泉、( 张林波 )、袁伟, 一种新的MPI Allgather算法及其在万亿次机群系统上的实现与性能分析 , 计算机学报, 29(5)(2006),808-814

79.Zhang Wensheng, (张文生) Zhang Guanquan. “3D hybrid depth migration and four-way splitting schemes”. Journal of Computational Mathematics, Volume 24, No.4, 463-474,2006. SCI.

80.Zhang Wensheng, (张文生) Zhang Guanquan. “3D prestack depth migration with factorization four-way splitting scheme”. International Journal of Numerical Analysis and Modeling. 2(2005). 183-196. SCI. (2005 年未登记 )

Papers published in proceedings of symposia and conferences:

1. Wenhui Meng, Junzhi Cui (崔俊芝), Application of Fast Multi-pole Boundary Element Method to 2-D Acoustic Scattering Problem, 2nd Asia-Pacific Int. Conf. on Comp. Meth. in Engrg (ICOME 2006) , Nov. 14-16, 2006, Hefei , China .

2.Yan Yu 1 *, Junzhi Cui 2 (崔俊芝) , Fei Han, An Effective Computer Generation Method for the Materials with Random Distribution of Large Numbers of Heterogeneous Grains, EPMESC X, Aug. 21-23, 2006, Sanya, Hainan,China, 2006 Tsinghua University Press & Springer-Verlag.

3.J. Z. Cui (崔俊芝) and X. G. Yu, The Multi-Scale Methods for Strength Parameter Computation of Composite Materials” , keynote presentation on ‘WCCM -7' , Los Angeles , USA , July 16-21, 2006.

4.Zhiming Chen(陈志明), A posteriori error analysis and adaptive methods for partial differential equations, Proceedings of International Congress of Mathematicians, Vol. III, Madrid ( spain ), August 22-30, 2006, M. Sanz-Sole et al, eds., European Mathematical Society (2006), 1163-1180.

5.J.E. Yang, Q.Y. Hu, and D.H. Yu(余德浩) , A D-N alternating method with non-matching FE and natural BE grids, Proc. Of 7 China-Japan Seminar on numerical mathematics, Z.C. Shi, H. Okamotoeds., Science Press, 2006, 286-298.

6.袁礼、汤涛、雷旭波,高速气体化学反应流的计算方法研究,《气体物理研究论文集》(庆贺崔尔杰院士70华诞), 2006 ,北京.

7. Zhang Wenshen(张文生)and Zhang Guanquan, 3D prestack depth migration by hybrid, SEG International Exposition and Seventy-Sixth Annual Meeting. 2006, 1-6 October, New Orleans , Louisiana , USA .

 


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