2005

Books

H. Li, P. Olver and G. Sommer (eds), Computer Algebra and Geometric Algebra with Applications, LNCS 3519, Springer, 2005.5

Journal Papers

1. S. Abramov, H. Le, and Z. Li, UnivariateOre polynomial rings in computer algebra, J. of Mathematical Sciences, 131, 5885--5902, 2005.10.
2. G.W.Bluman, Z. Yan, Nonlinear potential solutions of partial differential equations, Euro. J .App. Math., 16(3), 239-261, 2005.
3. J. Cheng and X. Gao, Constructing Blending Surface for Two Arbitrary Surfaces (in Chinese), Journal of Engineering Graphics, 26(1), 39-44, 2005
4. X. Cheng, P. Li, D. Wang, 分区参数Groebner基的计算, 系统科学与数学, 25(2), 129-138, 2005
5. X. Gao, Q. Liao, D. Lei, G. Zhang, Generalized Stewart Platforms and their Direct Kinematics, IEEE Trans. Robotics, vol 21, 141-151, 2005.
6. X. Gao, Q. Lin and G. Zhang, A C-tree Decomposition Algorithm for 2D and 3D Geometric Constraint Solving, Computer-Aided Design, 38(1), 1-13, 2006.
7. Y. Han, Subrepresentations of Kronecker representations, Linear Algebra and its applications, 402(2005), 150-164.
8. Y. Han, Is tame open? Journal of Algebra, 284(2005), 801-810.
9. M. Li, X. Gao, and J. Cheng, Generating Symbolic Interpolants for Scattered Satat with Normal Vectors, Journal of Computer Science and Technology, 20, 861-874, 2005.
10. H. Li, Conformal Geometric Algebra -- A New Framework for Computational Geometry, J. Computer Aided Design & Computer Graphics, 17(11), 2383-2393, 2005.11
11. B.Li, Z.Yang, L.Zhi, Fast low rank approximation of a Sylvester matrix by structured total least norm, Journal of Japan Society for Symbolic and Algebraic Computation, 11, No. 3-4, 165-174, 2005
12. B. Li, Y. Li, Defining New generalized functions by Nonstandard discrete functions and difference quotients, Acta Anal. Funct. Appl, Vol.6, no.4, 322-346, 2004.12
13. B. Li, An algorither to decompose a polynomial ascending set into irredncible ones, Acta Anal.Funct. Appl, Vol. 7, no. 2, 97-105, 2005.6
14. M. Liu, L. Xiao, Linear multi-secret sharing schemes.ence in China Ser F 48(2005), 125-136.
15. M. Liu, J. Li, L. Xiao, Solving the Multi-discrete Logarithm Problems over a Group of Elliptic Curves with Prime Order, Acta Mathematica Sinica, English Series, 21(2005), 1443-1459.
16. M. Wang, Z. Liu, Y. Zhang, Secret Sharing among Weighted Participants, Journal of Beijing Electronic Science and Technology Institute, 13, 2005.6
17. H. Ma and Y. Ma, Totally real minimal tori in CP^2, Mathematische Zeitschrift, Vol. 249, no. 2, 241—267, 2005.2.
18. W. Huang and H. Shi, Growth algorithm for finding low energy Growth algorithm for finding low energy, Physical Review E, 72, 2005.
19. Z. Lv, D. Wang, F. Xie, An approach to directly construct exact solutions of nonlinear differential-difference equations, Nonlinear Analysis, 62, 1490-1497, 2005.
20. H. Shi, H. Li, 几何代数和几何计算, 科学, 57(5), 3-7, 2005.11
21. H. Shi, H. Li, 几何代数和几何计算(2), 科学, 57(6), 25-27, 2005.12
22. Z. Wan, L. Huang, Geometry of skew-hermitian matrices, Linear Algebra and its applications, 396(2005), 127-157.
23. W. Wu, On "Good" Bases of Algebraico-Differential Ideals, Differential Equations with Symbolic Computation, 343-350, 2005
24. W. Wu, On the Construction of Groebner Basis of a Polynomial Ideal Based on Riguien-Janet Theory, Differential Equations with Symbolic Computation, 351-368, 2005
25. W. Wu, On Wintuer's conjecture about central configunations, Computer Algebra and Geometric Algebra with Applications, 1--4, 2005.
26. W. Wu, Inoubliables sourenirs de Rene Thom, Reue thom (1922-2002), 139-141, 2005
27. Z. Yan, The (2+1)-dimensional integrable coupling of KdV equation: Auto- B?cklund transformation and new non-traveling wave profiles, Phys. Lett. A, 345(4-6), 362-377, 2005.
28. Z. Yan, A new scheme to generalized (lag, anticipated and complete) synchroni- zation in chaotic and hyperchaotic systems, Chaos, Solitons and Fractals, 15(1), 13101-10, 2005.
29. Z. Yan, Q-S(lag or anticipated) synchronization backstepping scheme in a class of continuous-time hpyerchaotic systems- a symbolic-numeric computation approach, Chaos, Solitons and Fractals, 15(2), 23902-9, 2005.
30. Z. Yan, Numerical doubly periodic solutions of the KdV equation with the initial condition via the decomposition method,Appl. Math. Comput. 168(2), 1065-1078, 2005.
31. Z. Yan, Controlling hyperchaotic in the new hyperchaotic Chen system, Appl. Math. Comput., 168(2), 1239-1250, 2005.
32. Z. Yan, A new sine-Gordon equation expansion algorithm to investigate some special nonlinear differential equations, Chaos, Solitons and Fractals, 23(3), 767-775, 2005.
33. Z. Yan, Q-S synchronization in 3D Henon-like map and generalized Henon map via a scalar controller, Phys. Lett. A, 342(4), 309-317, 2005.
34. Z. Yan, A nonlinear control scheme to anticipated and complete synchronization in discrete-time chaotic (hyperchaotic) systems, Phys. Lett. A, 343(3), 423-431, 2005.
35. Z. Yan, New Weierstrass semi-rational expansion method to doubly periodic solutions of soliton equations, Commun. Theor. Phys., 43(2), 391-396, 2005.
36. Y. Zhu and X. Gao, Exact special solitary solutions with compact support for the nonlinear dispersive K(m, n) equations, Chaos, Solitons & Fractals, 27, 487-493, 2006.
37. Y. Zhu and X. Gao, A New Algorithm to Compute the Adomian Polynomials (in Chinese)J. Sys. Sci. & Math. Sci., 25(1), 18-28, 2005

Papers on Conference Proceedings

1. J. M. Aroca, J.Cano R. Feng and X. Gao, Algebraic general solutions of algebraic ODEs, Proc. ISSAC'2005, 29-36, 2005
2. M. Bronstein, Z. Li and M. Wu, Picard-Vessiot extensions of linear functional systems, Proc. Of International Symposium on Symbolic and Algebraic Computation, 68--75, 2005.6
3. G. Chen and Y. Ma, Algorithmic Reduction and Rational General Solutions of First Order Algebraic Differential Equations, Differential Equations with Symbolic Computation, 201—212, 2005.5
4. J. Cheng, X. Gao, and M. Li, Determine the Topology of Real Algebraic Surfaces, Mathematics of Surfaces, LNCS, 121-146, 2005.
5. S. Chou, X. Gao, and Z. Ye, Java Geometry Expert, Proc. ATCM 2005, 78-84, 2005
6. R. Feng and X. Gao, Polynomial general solutions for first order autonomous ODEs, LNCS, 3519, 5-17, 2005.
7. R. Feng and X. Gao, Rational Solutions of Algebraic Ordinary Difference Equations, Proc. of ASCM 2005, 95-96, 2005
8. X. Gao and G. Zhang, Well-constrained Completion for Under- constrained Geo-metric Constraint Problems, Proc. of ASCM 2005, 128-131, 2005
9. H. Li, R. Xu and N. Zhang, On Miquel's Five-Circle Theorem, LNCS 3519, 217-228, 2005.5.
10. H. Li, L. Cao, W. Sun and N. Cao, Intrinsic Differential Geometry with Geometric Calculus, LNCS 3519, 207-216, 2005.5.
11. H. Li, Q. Wang, L. Zhao, Y. Chen and L. Huang, nD Object Representation and Detection from Single 2D Line Drawing, LNCS 3519, 363-382, 2005.5.
12. H. Li, L. Zhao and Y. Chen, Polyhedral Scene Analysis Combining Parametric Propagation with Calotte Analysis, LNCS 3519, 383-402, 2005.5.
13. B. Li, Z. Liu, L. Zhi, Fast low rank approximation of a Sylvester matrix, Proceedings of International Workshop on Symbolic-Numeric Computation, pp., 202--208, 2005
14. B. Li, Z. Liu, L. Zhi, Fast implementation of Low Rank Approximation of a Sylvester Matrix, International Workshop on Symbolic-Numeric Computation SNC 2005 Proceedings, 202-208, 2005
15. L. Lin, D. Wang, Automatic Discovering of Geometric Theorems by Computing Groebner Bases with Parameters(Abstract), Abstracts of on Applications of Computer Algebra, 2005
16. L. Lin, Y. Sun, D. Wang, A Hybrid Method for Solving Systems of Parametric Polynomial Equations, Proceedings of the Seventh Asian Symposium on Computer Mathematics, 238-241, 2005
17. W. Wu, On a Finite Kernel Theorem for Polynomial-Type Optimization Problems and some of its Applications, ISSAC'05, 4, 2005
18. G. Reid, J. Tang, J. Yu, L. Zhi, Hybrid Method for Solving New Pose Estimation Equation System, Lecture Notes in Computer Science. LNCS 3519, 44-55, 2005.
19. E. Kaltofen, Z. Yang, L. Zhi, Structured low rank approximation of a Sylvester matrix, International Workshop on Symbolic-Numeric Computation SNC 2005 Proceedings, 188-201, 2005
20. E. Kaltofen, Z. Yang, L. Zhi, Structured Low Rank Approximation of a Generalized Sylvester Matrix, Asian Symposium on Computer Mathematics, ASCM2005, Proceedings, 219-223
21. Z. Tan, Z. Liu, M. Wang, On the security of some nonrepudiable threshold proxy signature schemes, ISPEC 2005, Lecture Notes in Computer Science, 3439, pp. 374-385, Springer-Verlag, 2005.
22. W. Wu, 混合计算, 21世纪100个交叉科学难题, 656-657, 2005
23. Z. Zhang, M. Liu, L. Xiao, Parallel Multi-party Computation from Linear Multi- secret Sharing Schemes, Lecture Notes in Computer Science 3788, 2005, 156-173.
24. Z. Zhang, M. Liu, L. Xiao, Multi-Party Computation Based on Connectivity of Graphs, CISC2005