呂錫亮，武漢大學數學與統計學院教授。
基本介紹
- 中文名：呂錫亮
- 工作單位：武漢大學
- 職稱：教授
- 專業：數學與統計學
人物履歷,教育背景,工作經歷,學術研究,研究方向,學術論文,
人物履歷
教育背景
2002 - 2006 Ph.D. 新加坡國立大學數學系
2000 - 2002 M.Sc. 新加坡國立大學數學系
1996 - 2000 B.Sc. 北京大學數學系
工作經歷
2010年7月-現在 副教授，武漢大學數學與統計學院
2007年8月- 2010年7月 博士後, RICAM, 奧地利
2007年1月- 2007年6月 訪問學者, 馬里蘭大學數學系
2006年9月- 2007年1月 博士後, 新加坡國立大學數學系
2006年2月- 2006年8月 研究助理, 新加坡國立大學數學系
2003年7月- 2006年1月 教學助理, 新加坡國立大學數學系
學術研究
研究方向
我的研究主要集中於偏微分方程數值解，偏微分方程最優控制，反問題理論和計算，無窮維或非光滑最佳化，有限元分析以及計算流體力學。
學術論文
1. Ping Lin, Jianguo Liu and Xiliang Lu, Long time numerical solution of the Navier-Stokes equations based on a sequential regularization formulation, SIAM J. Sci. Comput. 31 (2008), 398-419.
2. Xiliang Lu, Ping Lin and Jianguo Liu, Analysis of a sequential regularization method for the unsteady Navier-Stokes equations, Math. Comp. 77 (2008), 1467-1494.
3. Xiliang Lu and Ping Lin, Error estimate of the nonconforming P1 finite element method for the penalized Navier-Stokes equations, Numer. Math. 115(2010), 261-287.
4. Karl Kunisch, Kewei Liang, and Xiliang Lu Optimal Control for the Elliptic System with Polygonal State Constraints, SIAM J. Control Optim, 48(2010), 5053-5072 .
5. Karl Kunisch and Xiliang Lu, Optimal Control for Multi-phase Fluid Stokes Problems, Nonlinear Anal. TMA. 74(2011), 585-599.
6. Bangti Jin and Xiliang Lu, Numerical Identification of a Robin Coefficient in Parabolic Problems. Math. Comp. 81 (2012), 1369-1398.
7. Karl Kunisch and Xiliang Lu, Optimal control for an elliptic system with convex polygonal control constraints. IMA Numer. Anal. 33 (2013), 875-897.
8. Karl Kunisch and Xiliang Lu, Optimal control for elliptic systems with pointwise euclidean norm constraints on the controls. Math. Prog. 142 (2013), 461-483.
9. Tao He, Xiliang Lu, Xiaoqun Wu, Jun-an Lu and WeiXing Zhen, Optimization-based Structure Identification of Complex Dynamical Networks. Physica A. 392 (2013), 1038-1049.
10. Shuangbing Guo, Dingfang Li, Hui Feng and Xiliang Lu, Extremal Eigenvalues of the Sturm-Liouville Problems with Discontinuous Coefficients. Numer. Math. Theory, Method and Application. 6 (2013), pp. 657-684.
11. Zhifeng Weng, Jerry Zhijian Yang and Xiliang Lu, Two-level quadratic equal-order stabilized method for the Stokes eigenvalue problem, Int. J. Comput. Math. Accepted.
12. Qinian Jin and Xiliang Lu, A fast nonstationary iterative method with convex penalty for inverse problems in Hilbert spaces, Inverse Problems, 30, no. 4 (2014): 045012.
13. Matthias Gehre, Bangti Jin and Xiliang Lu, An analysis of finite element approximation in electrical impedance tomography, Inverse Problems, 30, no. 4 (2014): 045013.
14. Zhiyuan Sun, Yuling Jiao, Bangti Jin and Xiliang Lu, Numerical Identification of a Sparse Robin Coefficient, Adv. Comput. Math. Accepted.
15. Qibing Fan, Yuling Jiao, Xiliang Lu and Zhiyuan Sun, $L^q$ Regularization for Inverse Robin Problem, Journal of Inverse and Ill-Posed Problems, Accepted.
16. Yuling Jiao, Bangti Jin and Xiliang Lu, A Primal Dual Active Set with Continuation Algorithm for the $ell_0$-Regularized Optimization Problem, Applied and Computational Harmonic Analysis, Accepted.
17. Qibing Fan, Yuling Jiao and Xiliang Lu, A Primal Dual Active Set Algorithm with Continuation for Compressed Sensing, IEEE Transection on Signal Processing, 62 (2014), pp. 6276-6285.
18.Kewei Liang, Xiliang Lu and Jerry Zhijian Yang, Finite Element Approximation to the Extremal Eigenvalue Problem for Inhomogenous Materials, Numer. Math. Accepted.
