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  • 研究方向  

     科学计算

 

  • 主要研究兴趣

     大规模科学计算

     数据挖掘

     非线性代数方程组的数值算法

     数学软件    

 

  • 主要科研项目          

     国家自然科学基金项目G19871047

     国家重点基础研究项目G1998020306

     95攻关课题:连锁商业货物配送中的车辆优化调度模式研究与开发

     杰出青年基金B类项目G10228101(与Wisconsin大学金石教授合作)

     国家自然科学基金项目:稀疏矩阵积和式的算法研究及其在物理、化学中的应用

     10501030(与梁恒合作)

     国家自然科学基金面上项目:高复杂度矩阵计算问题及其应用

 

  • 已发表论文

       英文论文

1. F.Bai, A.Spence, A.M.Stuart, The numerical computation of heteroclinic connections in systems of gradient partial differential equations, SIAM J. Appl. Math., 1993, 53(3), 743-769.[pdf]

2. F.Bai, A.Spence and A.M.Stuart, Numerical computations of coarsening in the Cahn-Hilliard model of phase separation, Physica D,1994, 78(3-4),155-165.[pdf]

3. F.Bai, et.al., The viscous Cahn-Hilliard equation, Part I: computations, Nonlinearity, 1995,8(2), 131-160.[pdf]

4. F.Bai, A.R.Champneys, Numerical detection and continuation of saddle-node homoclinic bifurcation of codimension one and two, Dynamics Systems, 1996, 11(4), 325-346.[pdf]

5. F.Bai, G.J.Lord, A.Spence, Numerical computations of connecting orbits in discrete and continuous dynamical systems, Inter. J. Bifurcation & Chaos, 1996, 6(7), 1281-1293.[pdf]

6. T.J. Li, F.BaiMinimizing multi-homogeneous Bezout numbers by a local search method, Math. Comput., 2001, 70(234), 767-787.[pdf]

 7.   S.S.Li, G.L.Long, F.Bai, et al, Quantum computing, Proc. Natl. Acad. Sci. U. S. A., 2001, 98 (21) , 11847-11848.[pdf]

 8.   T.Li, F.Bai, Heuristic methods for computing the minimal multi-homogeneous Bezout number, Appl. Math. Comput., 2003, 146(1), 237-256.[pdf]

 9.   H.Liang, F.Bai, A new upper bound for permanent of (0,1)-matrices, Linear Algebra Appl.2004, 277, 291-295.[pdf]

10.   H.Liang, X.Liu, F.Bai, Optimization problem in multi-homogeneous homotopy method, Optim. Method Softw., 2004, 19(3-4), 361-369.[pdf]

11.   H.Liang, F.Bai, A partially structure- preserving algorihm for the permanents of adjacency matrices of fullerenes, Comput. Phys. Commun., 2004, 163(2), 79-84.[pdf]

12.   H.Liang, F.Bai, L.Shi, Computing the optimal partition of variables in multihomo- geneous homotopy methods, Appl. Math. Comput., 2005, 163(2), 825-840.[pdf]

13.   H.Liang, Q.Liu, F. Bai, A note on a pseudo-random number generator for personal computers, Comput. Math. Appl., 2005, 49(3-4), 331-333.[pdf]

14.   N.Liu, J.Yan, F.Bai et al. A similarity reinforcement algorithm for heterogeneous Web pages, Lect. Notes. Comput. Sci., 2005, 3399, 121-132. [pdf]

15.   N.Liu, F.Bai. J.Yan et al. Supervised semi-definite embedding for email data cleaning and visualization, Lect. Notes. Comput. Sci., 2005, 3399, 972-982. (SCI)[pdf]

16. H.Liang , Q.L iu, F.Bai, A class of random number generators based on  Weyl  sequence,  Appl. Math. J. Chinese Univ. Ser. B, 2005, 20 (4) : 483-490. [pdf]

17.   H.Liang, S.Huang, F. Bai, A hybrid algorithm for computing
permanents of sparse matrices, Appl. Math. Comput., 2006, 172(2), 708-716.[pdf]

18.   Z.Wang, W.Xing, F.Bai, No-wait flexible flowshop scheduling with no-idle machines, Oper. Res. Lett., 2005, 33, 609-614.[pdf]

19.   H.Liang, S.Huang, F. Bai, Hybrid algorithms for evaluating permanents of sparse matrices, Appl. Math. Comput., 2006, 172(2), 708-716.[pdf]

20.   S.Jiang, H.Liang, F.Bai, New Structural Parameters and Permanents of Adjacency Matrices of Fullerenes, MATCH Commun. Math. Comput. Chem., 2006, 56 (1), 131-139.[pdf]

21.   H.Tong, H.Liang, F.Bai, Permanental Polynomials of the Larger Fullerenes, MATCH Commun. Math. Comput. Chem., 2006, 56 (1), 141-152.[pdf]

22.   Y.Huo, H.Liang, F.Bai, An efficient algorithm for computing permanental polynomials of graphs, Comput. Phys. Commun., 2006, 175(3), 196-203.[pdf]

23.   H.Liang, L.Shi, F.Bai, X.LiuRandom path method with pivoting for computing permanent of matrices, Appl. Math. Comput., 2007, 185(1), 59-71. [pdf]

24.   Y.Tao, H.Liang, F.Bai, A hybrid algorithm for multi-homogeneous Bezout number, Appl. Math. Comput., 2007, 189(2), 1755-1764.[pdf]

25.   Y.Huo, H.Liang, S.Liu, F.Bai, Computing monomer-dimer systems through matrix permanent, Phys. Rev. E, 2008, 77(1), 016706.[pdf]

26.   L.Deng, R.Guo, D.K.J.Lin, F Bai, Improving Random Number Generators in the Monte Carlo simulations via twisting and combining, Comput. Phys. Commun., 2008, 178(6), 401-408.[pdf]

27.   H.Liang, H.Tong, F.Bai, Computing the permanental polynomial of C60 in parallel, MATCH Commun. Math. Comput. Chem.60(2), 2008, 349-358.[pdf]

28.   K.Sun, F.Bai, Mining weighted association rules without preassigned weigh, IEEE Trans. Knowl. Data Eng., 2008, 20(4), 489-495.[pdf]

29.   Y.Sun, Y.Tao, F.Bai,, Incomplete Grobner basis as a preconditioner for polynomial systems, J. Comput. Appl. Math., 2009, 226(1), 2-9.[pdf]

30.   J.Qian, S.Xu, F.Bai, Symmetric low-rank corrections to quadratic models, Numer. Linear Alg. Appl., 16(5), 2009, 397-413.[pdf]

31.   L.Wang, J.Hong, R.Scherer, F.Bai, Dynamics and varitional integrators of stochastic Hamiltonian system, Int. J. Numer. Anal. Model., 6(4), 2009, 586-602.[pdf]

32.   L.Xu, H.Liang, F.Bai, An algorithmic proof of Bregman-Minc theorem, Int. J. Comput. Math., 86(12), 2009, 2181-2185.[pdf]

33.   L.Wang, F.Bai, The State Equations Methods for Stochastic Control Problems, Numerical Mathematics: Theory, Methods and Applications, 3(1), 2010, 79-96.[pdf]

34.   Y.Ju, H.Liang, JW.Zhang, F.Bai, A note on Fowler-Manolopoulos predictor of fullerene stability, MATCH Commun. Math. Comput. Chem.64 (2), 2010, 419-424 17.[pdf]

35.   J.Zhang, F.Bai, An improved fully polynomial randomized approximation scheme(FPRAS) for counting the number of Hamiltonian cycles in dense digraphs, Theor. comput. sci., 412, 2011, 419–429.[pdf]

36.   Q.Chou, H.Liang, F.Bai, Remarks on the relations between the permanental and characteristic polynomials of fullerenes, MATCH Commun. Math. Comput. Chem.66(3), 2011, 743-750.[pdf]

37.   J.Zhang, H.Liang, F.Bai, Approximating partition functions of the two-state spin system, Inf. Process. Lett.111(14), 2011, 702-710.[pdf]

38. L.Xiao,D.K.J.Lin, F.Bai, Constructing Definitive Screening Designs Using Conference Matrices, J. Qual. Technol., 44(1), 2012, 2-8.[pdf]   

      中文论文

 

 1. 白峰杉,计算简单分歧点的Weber辅助方程离散Newton法,计算数学,1989,1,  49-57. [pdf]

 

 2. 白峰杉,李庆扬, 计算简单分歧点的高阶适定辅助方程及其初值选取,高等学校    计算数学学报, 1989,4,325-332. [pdf]

 

 3.周超,白峰杉,自由数学软件Scilab,数值计算与计算机应用, 23(2),144-152,

    2002.[pdf]

 

 4.梁恒,白峰杉,对称不定问题的不精确Newton法, 计算数学,24,319-326,2002.

    [pdf]

 

 5.刘颖,白峰杉,伪谱的边界曲线及其跟踪算法的步长控制, 高等学校计算数学学  报,25(1), 1-11, 2003. [pdf] 

 

 6. 蔺振江,刘宁,白峰杉, 计算积和式的分层Monte-Carlo方法,数值计算与计算机

    应用,2004,3,174-182. [pdf]

 

 7. 傅懷慧林共進白峰杉蔡憲唐韋伯韜阻尼因子對網頁排名之敏感度分析,中国统计学报,43(2),145-164,2005. [pdf]

 

 8. 刘志, 张化一, 宋天明, 徐良旺, 白峰杉, 电子加速器扫描盒前端法兰传热的

    数值模拟,核电子学与探测技术,2006,26(1),111-113. [pdf]

 

 9. 彭涛,李建国,白峰杉排课问题分组优化决策中的Cou rseRank, 高校应用数

    学学报A 辑2006, 21 (1) : 31-36. [pdf]

 

 10. 李建平,王维平,白峰杉,张军,资源分配问题两层优化分析的元模型方法,系统仿真学报,20(4),837-840,2008. [pdf]

 

 11. 金轶雯, 白峰杉, 金融证券分析师投资评级数据的分析和挖掘, 数学的实践与认识,2008, 38(13), 18-25. [pdf]

 

 12. 刘辉,白峰杉,基于混合高斯过程模型的高光谱图像分类算法,高校应用数学学   报, 2010,25(4):379—385. [pdf]

 

主页创建时间:2004年9月10日
上次修改时间:2012年05月29日