董波

Personal Information

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Professor   Supervisor of Doctorate Candidates   Supervisor of Master's Candidates  

Profile

       2008年毕业于大连理工大学应用数学系,获得博士学位,同年任职于大连理工大学数学科学学院计算数学所,主要的研究兴趣包括:多项式方程组全部解、特征值问题及反问题,侧重算法的设计、分析及相关应用问题的软件包编制。

 

部分论文

1. Dong, Bo; The homotopy method for the complete solution of quadratic two-parameter eigenvalue problems.  J. Sci. Comput. 90 (2022), no. 1, Paper No. 18, 25 pp.

2. Dong, Bo; Jiang, Nan; Chu, Moody T. Nonlinear power-like iteration by polar decomposition and its application to tensor approximation. Numer. Math. 144 (2020), no. 4, 729–749.

3. Dong, Bo; Lin, Matthew M.; Park, Haesun. Integer matrix approximation and data mining. J. Sci. Comput. 75 (2018), no. 1, 198–224.

4. Dong, Bo; Yu, Bo; Yu, Yan. A homotopy method for finding all solutions of a multiparameter eigenvalue problem. SIAM J. Matrix Anal. Appl. 37 (2016), no. 2, 550–571.

5. Jiao, Libin; Dong, Bo; Zhang, Jintao; Yu, Bo. Polynomial homotopy method for the sparse interpolation problem Part I: Equally spaced sampling. SIAM J. Numer. Anal. 54 (2016), no. 1, 462–480.

6. Dong, Bo; Yu, Bo; Yu, Yan. A symmetric homotopy and hybrid polynomial system solving method for mixed trigonometric polynomial systems. Math. Comp. 83 (2014), no. 288, 1847–1868.

7. Dong, Bo; Lin, Matthew M.; Chu, Moody T. Parameter reconstruction of vibration systems from partial eigeninformation, Journal of Sound and Vibration, 2009, 327(3-5), 391-401

8. Lin, Matthew M.; Dong, Bo; Chu, Moody T. Inverse mode problems for real and symmetric quadratic models. Inverse Problems 26 (2010), no. 6, 065003, 20 pp.

9. Yu, Bo; Dong, Bo. A hybrid polynomial system solving method for mixed trigonometric polynomial systems. SIAM J. Numer. Anal. 46 (2008), no. 3, 1503–1518.

 

主持项目:

1. 航天器设计中的奇异和非线性多参数特征值问题研究,国家自然科学基金面上项目,2024.01-2027.12;

2. 结构多参数特征值问题的有效解法及应用,国家自然科学基金面上项目,2019.01-2022.12;

3. 带结构的模型修正问题的数值解法、软件及应用,国家自然科学基金青年基金,2012.01-2014.12;

4. 第十三届中国数学会计算机数学大会,国家自然科学基金专项基金,2023.01-2023.12;

5. 带结构的二次特征值反问题的数值解法、软件及应用,国家自然科学基金专项基金-天元基金,2011.01-2011.12.


Educational Experience

2004.9 2008.9

  • 大连理工大学
  • 计算数学
  • Doctoral Degree

1998.9 2002.7

  • 山东师范大学
  • 数学与应用数学
  • Bachelor's Degree

Work Experience

Social Affiliations

Research Focus

  • 多项式方程组
  • Numerical Algebra