2004

Books

1. 万哲先, 霍元极, 有限典型群子空间轨道生成的格, 科学出版社, 2004.
2. 万哲先, 代数导引, 科学出版社, 2004.
3. A.M. Cohen, X.S. Gao and N. Takayama (eds), Symbolic Computation in Algebra and Geometry, special issue of J. of Symbolic Computation, 38(2004).

Journal Papers

1. Zhexian Wan, Adjacency preserving mappings of symmetric and hermitian matrices, Aequationes Math, 67 (2004) 132-139.
2. Banghe Li, Describing DNA sequences by 2-dimensional walks, Acta Analysis Functional Applicata, l6 (2004) 1-4.
3. X.S. Gao and M. Li, Rational Quadratic Approximation to Real Algebraic Curves，Computer Aided Geometric Design, 21(2004) 805-828.
4. X.S. Gao, C.M. Hoffmann and W. Yang, Solving spatial basic geometric constraint configurations with locus intersection, Computer-Aided Design, 36(2004)111-122.
5. J.Wang and X.S. Gao, An Algorithm for Solving Partial Differential Parametric Systems, Discrete Applied Mathematics, 136(2004)105-116.
6. Lihong Zhi, M.Noda, H.Kai and W.Wu, Hybrid Method for Computing the Nearest Singular Polynomials,Japan J. of Industrial and Applied Mathematics, 1(2004)163-180
7. R.M. Corless, S.M.Watt and Lihong Zhi, QR Factoring to Compute the GCD of Univariate Approximate Polynomials, IEEE Transactions on Signal Processing, 52(2004)12.
8. Zhenya Yan, The investigation for (2+1)-dimensional Eckhaus-type extension of the dispersive long wave equation, J. Phys. A: Math. Gen., 37 (2004) 841.
9. Zhenya Yan, The new constructive algorithm and symbolic computation applied to exact solutions of nonlinear wave equations, Phys. Lett. A, 331(2004) 193.
10. Zhenya Yan,An improved algebra method and its applications in nonlinear wave equations, Chaos, Solitons and Fractals, 21(2004)1013.
11. Zhenya Yan , Optical solitary wave solutions to nonlinear Schrodinger equation with cubic-quintic nonlinearity in non-Kerr media, J. Phys. Soc. Jpn., 73(2004)2397.
12. Zhenya Yan , Study on New Doubly-periodic Solutions of two Coupled Nonlinear Wave Equations in Complex and Real Fields, Z. Naturforsch A, 59(2004)29.
13. Zhenya Yan, Elliptic Function Solutions of (2+1)-dimensional Long Wave- Short Wave Resonance Interaction Equation via a sinh-Gordon Expansion Method, Z. Naturforsch A, 59(2004)23.
14. Zhenya Yan, New doubly periodic solutions of nonlinear evolution equations via Weierstrass elliptic function expansion algorithm, Commun. Theor. Phys. 42(2004) 645
15. Fuding Xie, et al, Exact travelling wave solutions for a class of nonlinear partial differential equations, Chaos, Solitons and Fractals 19 (2004) 1113-1117.
16. Fuding Xie, et al, A Computational Approach to the New Type Solutions of Whitham Broer Kaup Equation in Shallow Water, Commun. Theor. Phys. 41(2004)179-182.
17. Fuding Xie, et al, Applications of Computer Algebra in Solving Nonlinear Evolution Equations,Commun. Theor. Phys. 41 (2004) 353-356.
18. Fuding Xie, et al, and Feng Liu, Conservation Laws of K(m,n) and mK(m,n) Equations, Commun. Theor. Phys. 42 (2004) 661-663.
19. Hong Du, Endomorphisms of Lie algebra F[t]d/dt, J. Syst. Sci. Complexity,. 17 (2004) 143-146.
20. Zhuosheng Lv and Hongqing Zhang, Applications of a further extended tanh method Applied Mathematics and Computation 159 (2004) 401-406.
21. Zhuosheng Lv and Hongqing Zhang, Newapplications of a further extended tanh method, Physics Letters A, 324 (2004) 293-298.
22. W.L. Huang, R. Hoefer and Z.X. Wan, Adjacency preserving mappings of symmetric and hermitian matrices, Aequationes Math, 67 (2004)132-139.
23. P. Z. Lu, M.L. Liu and U. Oberst, Linear Recurring Arrays, Linear Systems and Multidimensional Cyclic Codes over Quasi-Frobenius Rings, Acta Appl. Math, 80(2004) 175-198.
24. 肖亮亮, 刘木兰, 线性多密钥共享体制, 中国科学E辑, 34(2004)1148-1158.
25. L.L. Xiao and M.L. Liu, Linear secret sharing scheme and rearrangement of access structure, Acta Math. Appl. Sinca, 20 (2004) 685-694.
26. L.L. Xiao and M.L. Liu, Threshold schemes with weights, J. Syst. Sci. & Complexity, 17 (2004)578-581.
27. 李俊全,刘木兰, 椭圆曲线素阶群上离散对数求解,系统科学与数学，24 (2004)443-450．
28. Zuowen Tan, Zhuojun Liu and Weidong Chen, Proxy Threshold Group-Oriented Signature Schemes with Privileged Subsets. Computer Engineering and Applications25(2004) 20-25. (in Chinese)
29. Zuowen Tan, Zhuojun Liu, Publicly Verifiable Secret Re-distribution for ThresholdSecret Sharing Scheme, J. Graduate School of Chinese Academy of Science. 21(2004)210-217.
30. R. Pellikaan and Xinwen Wu, List Decoding of q-ary Reed-Muller codes, IEEE Transactions on Information Theory, .50(2004)679-682.
31. W.T. Wu, On Algebrico-Differential Equations-Solving, J. Syst. Sci. & Complexity, 17(2004) 153-163.
32. 黄文奇, 黄勤波, 石赫，求解蛋白质结构预测问题的二维连续模型及其相应的拟物算法，计算机研究与发展，41(2004)1959-1965.

Papers on Conference Proceedings

1. R. Feng and X.S. Gao, Rational General Solutions of Algebraic Ordinary Differential Equations,Proc. ISSAC2004, ACM Press, New York, 2004,155-162.
2. X.S. Gao and Q. Lin, MMP/Geometer- A Software Package for Automated Geometry Reasoning,Automated Deduction in Geometry, LNCS, Springer, Berlin, 2004,44-46.
3. X.S. Gao and M. Zhang, Decomposition of Differential Polynomials, Proc. ISSAC2004, ACM Press, New York, 2004,175-182.
4. X.S. Gao and M. Li, Rational quadratic approximation to real plane algebraic curves, Proc. Geometric Modeling and Processing, IEEE Press, 2004, 93-102.
5. X.S. Gao and Y. Luo, A Characteristic Set Method for Difference Systems, Proc. ICPSS, France, 2004, 28-30.
6. Hongbo Li, Symbolic Computation in the Homogeneous Geometric Model with Clifford Algebra.Proc. ISSAC 2004, J. Gutierrez (ed.), ACM Press, 2004, 221-228.
7. Hongbo Li, Automated Geometric Theorem Proving, Clifford Bracket Algebra and Clifford Expansions. Trends in Mathematics: Advances in Analysis and Geometry, Birkhauser Basel, 2004,345-363.
8. Hongbo Li, Algebraic Representation, Elimination and Expansion in Automated Geometric Theorem Proving. Automated Deduction in Geometry, F. Winkler (ed.), Springer, Berlin, Heidelberg, 2004, 106-123.
9. G. Labahn, Z. Li. Hyperexponential Solutions of Finite-rank ideals in Orthogonal Ore Rings, Proc. ISSAC 2004, ACM Press, 2004, 213-220
10. K. Geddes, H. Le and Z.Li. Differential Rational Normal Forms and a Reduction Algorithm for Hyperexponential Functions. Proc. ISSAC 2004, ACM Press, 2004,183-190.
11. Shuhong Gao, Erich Kaltofen, John P. May, Zhengfeng Yang, and Lihong Zhi. Approximate factorization of multivariate polynomials via differential equations. Proc. ISSAC 2004, ACM Press, 2004, 167-174
12. Joe Bonasia, Francois Lemaire, Greg Reid, Robin Scott, and Lihong Zhi. Determination of approximate symmetries of differential equations. Gomez-Ullate (ed.), CRM Proceedings and Lecture Notes 39, Amer. Math. Soc, 2004,233-249.
13. Xuefeng Chen and Dingkang Wang, The Projection of Quasi Variety and Its Application on Geometric Theorem Proving and Formula Deduction. Automated Deduction in Geometry,F. Winkler (ed.), Springer, Berlin, Heidelberg, 2004, 21-30.
14. Zuowen Tan, Zhuojun Liu：Provably Secure Delegation-by-Certification Proxy Signature Schemes.Info. Secu '04, ACM ISBN: 1-58113-955-1, 2004, 38-43.
15. Shuhong Gao, Erich Kaltofen, John P. May, Zhengfeng Yang, and Lihong Zhi. Approximate factorization of multivariate polynomials via differential equations. Proc. ISSAC 2004, ACM Press, 2004, 167-174
16. Lihong Zhi and Greg Reid, Solving Nonlinear Polynomial System via Symbolic-Numeric Elimination Method，Proceedings of International Conference on Polynomial System Solving，2004, 50-53.
17. Xinwen Wu, M. Kuijper, P. Udaya, A Class of Algebraic-Geometric Codes for LeeMetric and Their Decoding, Proceedings of 2004 IEEE International Symposium on Information Theory, Chicago,USA, 2004.
18. Xinwen Wu, M. Kuijper, P. Udaya, On Lee-Metric Decoding of Algebraic-Geometric Codes,Proc. of 2004 Australian Communications Theory Workshop,Newcastle, Australia, 2004, 82-85.
19. Xinwen Wu, M. Kuijper, P. Udaya,List Lee-Metric Decoding Algorithm forGeneralized Reed-Solomon Codes over Commutative Rings with Identity,Proc. of 10th Conference on Communications of India, Bangalore, India, 2004,244-248.
20. Guigang Zhang and X.S. Gao, Geometric Constraint Solving Based on Connectivity of Graph,Computer-Aided Design and Applications, Thailand, 1(2004)469-476.