卢脁

北京大学
数学科学学院
理科楼1号楼1552W电子邮件: tlu@math.pku.edu.cn


个人简历

这学期所授课程

应用偏微分方程,2015年春, 周二7-8, 周四(单)1-2, 二教 313 .

过去所授课程

出版物

  1. Discontinuous Galerkin Methods for Dispersive and Lossy Maxwell's Equations and PML Boundary Conditions, T. Lu, P.W. Zhang, W. Cai, Journal of Computational Physics, 200 (2004), pp. 549-580.
  2. Conservative Local Discontinuous Galerkin Methods for Time Dependent Schroedinger Equation, T. Lu, W. Cai, and P.W. Zhang, International Journal of Numerical Analysis and Modeling, Volume 2, Number 1, 2005, pp. 75 - 84
  3. Discontinuous Galerkin Time-Domain Method for GPR Simulation in Dispersive Media Lu, T.; Cai, W.; Zhang, P.; Geoscience and Remote Sensing, IEEE Transactions on , Volume: 43 , Issue: 1 , Jan. 2005 Pages:72 - 80.
  4. Discontinuous Galerkin Time Domain (DGTD) Methods for the Study of Waveguide Coupled Microring Resonators, X. Ji, T. Lu, W. Cai, and P.W. Zhang, the Journal of Lightwave Technology, VOL. 23, NO. 11, pp. 3864-3874, NOVEMBER 2005.
  5. A Fourier Spectral-Discontinuous Galerkin Methods for Time Dependent 3-D Schrodinger-Poission Equations with Discontinuous Potentials, T. Lu, W. Cai, Journal of Computational and Applied Mathematics Volume 220, Issues 1-2, 15 October 2008, Pages 588-614.
  6. 自然邻点插值在三维地址建模中的应用 , 郭艳军,潘懋, 燕飞, 王喆, 谭昌汇, 卢脁 - 《解放军理工大学学报(自然科学版)》 pp. 650-655, 2009年6期
  7. 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.
  8. 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.
  9. 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.
  10. 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.
  11. 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
  12. 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
  13. Numerical Method for High Order Hyperbolic Moment System of Wigner Equation R. Li, T. Lu, Y. Wang and W. Yao, Comm. Comput. Phys., Vol. 15, pp. 569--595, 2014.
  14. Numerical Comparison of Three Stochastic Methods for Nonlinear PN Junction Problems W. Yao and T. Lu, Frontiers of Mathematics in China, volume 9, number 3, pp. 659-698, 2014.
  15. 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, Journal of Scientific Computing: Volume 59, Issue 3 (2014), Page 761-774 .
  16. 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.
  17. Stationary Wigner Equation with Inflow Boundary Conditions: Will a Symmetric Potential Yield a Symmetric Solution? Ruo Li, Tiao Lu and Zhangpeng Sun, SIAM J. Appl. Math., Vol. 74, No. 3, pp. 885-897, 2014
  18. Discrete Kernel Preserving Model for 1D Electron-Optical Phonon Scattering, Ruo Li, Tiao Lu and Wenqi Yao, Journal of Scientific Computing, Vol. 62(2), pp. 317-335, 2015.

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