Dr. Tiao Lu  School of Mathematical Sciences Science Building No. 1 Room 1482S phone: 86-10-62760092 Peking University Email: tlu@math.pku.edu.cn Curriculum Vitae

Courses at Peking University

• Applied Partial Differential Equations, Spring 2008
• Parallel Scientific Computing, Fall 2007
• Applied Partial Differential Equations, Spring 2007
• Advanced Mathematics for the students in the school of law, Fall 2006

Courses at UNC Charlotte

• MATH2171-005, Spring 2006
• MATH2171-001 & -005 , Fall 2005
• MATH2171 Summer II -MTWRF 9:45-11:15AM, Summer II 2005
• MATH2171-001 (Differential Equations) -MWF 9:00-9:50AM, Spring 2005
• MATH2171-002 (Differential Equations) -MWF 2:00-2:50PM, Spring 2005

Publications

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. Adaptive Conservative Cell Average Spectral Element Methods for Transient Wigner Equation in Quantum Transport, S. Shao, T. Lu and W. Cai, Submit to CICP, 2009.

Current Research Project

• National Natural Science Foundation of China, Fast Algorithms and Numerical Simulation for Double Gate MOSFETs, 2008.1-2010.12

Conference

• A note on the fast algorithm for the spectral method for the Boltzmann equation, Tiao Lu, International Conference on Spectral and High Order Methods (ICOSAHOM07) June 18-22, 2007, Beijing, China.

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