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北大客座教授
中心成员

 

卢朓

 

联系方式: 
E-mail:tlu@math.pku.edu.cn 
电话:010-62751804
个人主页:http://dsec.pku.edu.cn/~tlu/index.php

教育经历:

1995.9-1999.7 北京大学数学科学学院 学士学位
1999.9-2004.7 北京大学数学科学学院 博士学位

工作经历

2004.8-2006.7 美国北卡莱罗纳大学夏洛特分校 博士后

2006.8-2010.7 北京大学数学科学学院 讲师

2010.8至今 北京大学数学科学学院 副教授 

研究领域:

1. 用间断有限元方法求解色散媒质中的Maxwell方程 
2. 纳米双栅金属氧化物场效应晶体管的数值模拟 
3. 用密度泛函理论中的密度矩阵最小化方法求电子结构的基态能量 
4. 经典和量子输运方程的数值方法 

在中心的研究方向: 计算电磁学、经典和量子输运方程数值解 

社会兼职: 
北京市计算数学学会 常务理事

代表性论文:
1. A Finite Volume Method for the Multi Subband Boltzmann Equation with realistic 2D Scattering in DG MOSFETs, T. Lu, G. Du, X. Liu and P. Zhang, Comm. Comput. Phys., volume 10, No. 2, 305-338, 2011. 
2. Quantum Hydrodynamic Model by Moment Closure of Wigner Equation Z. Cai, Y. Fan, R. Li, T. Lu and Y. Wang, J. Math. Phys., vol. 53, p. 103503, numpages 18, 2012. 
3. Linear scaling discontinuous Galerkin density matrix minimization method with local orbital enriched finite element basis: 1-D lattice model system, T. Lu, W. Cai, J. Xin and Y. Guo, Comm. Comput. Phys., vol. 14, no. 2, pp. 276-300, 2013. 
4. Quantum Hydrodynamic Model of Density Functional Theory Z. Cai, Y. Fan, R. Li, T. Lu and W. Yao, J. Math. Chem., Vol. 51, No. 
5, pp. 1747--1771, 2013, DOI 10.1007/s10910-013-0176-1 5. A device adaptive inflow boundary condition for Wigner equations of quantum transport H. Jiang, T. Lu and W. Cai, Journal of Computational Physics, Vol. 258, pp. 773-786, 2014. 

近5年发表论文: 
1 . Adaptive Conservative Cell Average Spectral Element Methods for Transient Wigner Equation in Quantum Transport, S. Shao, T. Lu and W. Cai, Comm. Comput. Phys., volume 9, No. 3, 711-739, 2011. 
2. A Finite Volume Method for the Multi Subband Boltzmann Equation with realistic 2D Scattering in DG MOSFETs, T. Lu, G. Du, X. Liu and P. Zhang, Comm. Comput. Phys., volume 10, No. 2, 305-338, 2011. 
3. Quantum Hydrodynamic Model by Moment Closure of Wigner Equation Z. Cai, Y. Fan, R. Li, T. Lu and Y. Wang, J. Math. Phys., vol. 53, p. 103503, numpages 18, 2012. 
4. Linear scaling discontinuous Galerkin density matrix minimization method with local orbital enriched finite element basis: 1-D lattice model system, T. Lu, W. Cai, J. Xin and Y. Guo, Comm. Comput. Phys., vol. 14, no. 2, pp. 276-300, 2013. 
5. Simulation Study of Quasi-ballistic Transport in Asymmetric DG-MOSFET by Directly Solving Boltzmann Transport Equation , G. Liu, G. Du, T. Lu, X. Liu, P. Zhang and X. Zhang, IEEE Transactions on Nanotechnology, Vol. 12, Issue 2, pp. 168--173, 2013. DOI 10.1109/TNANO.2013.2237924 
6. Quantum Hydrodynamic Model of Density Functional Theory Z. Cai, Y. Fan, R. Li, T. Lu and W. Yao, J. Math. Chem., Vol. 51, No. 5, pp. 1747--1771, 2013, DOI 10.1007/s10910-013-0176-1 
7. Numerical Method for High Order Hyperbolic Moment System of Wigner Equation R. Li, T. Lu, Y. Wang and W. Yao, accepted for publication by Comm. Comput. Phys., 2013. 
8. Numerical Comparison of Three Stochastic Methods for Nonlinear PN Junction Problems W. Yao and T. Lu, accepted for publication by Frontiers of Mathematics in China, 2013. 
9. Simulation of an $n^{+}$-$n$-$n^{+}$ Diode by Using Globally-Hyperbolically-Closed High-Order Moment Models Z. Hu, R. Li, T. Lu, Y. Wang and W. Yao, accepted for publication by Journal of Scientific Computing, 2013.
10. A device adaptive inflow boundary condition for Wigner equations of quantum transport H. Jiang, T. Lu and W. Cai, Journal of Computational Physics, Vol. 258, pp. 773-786, 2014. 


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