Tiao Lu
Associate Professor
tlu@pku.edu.cn
Office :1552W

Education

Ph. D

2004

Computational Mathematics

Peking University

B. S.

1999

Computational Mathematics

Peking University

Research Interests

Numerical solution of partial differential equations

1. Carrier transport of nano semiconductor devices

2. Numerical solution of the Boltzmann/Wigner transport equations

3. Well-posedness problem of stationary of Wigner transport equation with inflow boundary conditions

4. Discontinuous Galerkin time-domian method for the Maxwell equations in dispersive media

5. Pseudo-differential operators 

Selected Publications

  • Z.-N. Cai, Y.-W. Fan, R. Li,T. Lu, Y.L. Wang, Quantum Hydrodynamic Model by Moment Closure of Wigner Equation, J. Math. Phys., vol. 53, p. 103503, numpages 18, 2012.
  • Z.N. Cai, Y.W. Fan, R. Li,T. Lu, W.-Q Yao, 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.
  • R. Li,T. Lu, Z.-P. Sun, Stationary Wigner Equation with Inflow Boundary Conditions: Will a Symmetric Potential Yield a Symmetric Solution? SIAM J. Appl. Math., Vol. 74, No. 3, pp. 885-897, 2014.
  • Z.-C. Hu, R. Li,T. Lu, Y.-L.. Wang, W.-Q. Yao, Simulation of an $n^{+}$-$n$-$n^{+}$ Diode by Using Globally-Hyperbolically-Closed High-Order Moment Models, Journal of Scientific Computing: Volume 59, Issue 3 (2014), Page 761-774 .
  • R. Li,T. Lu, W.-Q. Yao, Discrete Kernel Preserving Model for 1D Electron-Optical Phonon Scattering, Journal of Scientific Computing, Vol. 62(2), pp. 317-335, 2015.

Professional Appointments

2010-

AssociateProfessor

School of Mathematical Sciences, Peking University

2006-2010

Assistant Professor

School of Mathematical Sciences, Peking University

2004-2006

Postdoctoral Fellow

Department of Mathematics & Statistics, University of North Carolina at Charlotte

Professional Society Affiliations

2015-2017  

Standing dirctior, Beijing Society of Computational Mathematics

National and International Meeting Organizers and Session Chairs

2015/12   

Workshop oncomputationalquantumsystems

Shanghai

Co-chair

2016/9

Exchange conference on computational mathematics between Beijing-Tianjin-Hebei

Tianjin

Co-organizer

2017/3

Simulation and algorithm on computational Physics

Beijing 

Co-organizer

Teaching Activities

Undergraduate course

Numerical analysis

2010. s

Undergraduate course

Advanced mathematics B

2010.f

Undergraduate course

Linear algebra

2011.f

Undergraduate/graduate course

Applied partial differential equations

2012.s, 2013.s, 2014.s, 2015.s, 2016.s, 2017. s

Undergraduate course

Probability & Statistics

2012. f

Undergraduate course

Advanced mathematics C

2013. f, 2014.f, 2015.f, 2016.f

Research Projects

2016-2017

Low voltage user load analysis mathematical model consulting

Company

¥80,000rmb

   PI

2016

Research on algorithm and numerical simulation on xxx

ZD special project

¥500,000rmb

   PI

2017-2020

The application of Non equilibrium Green method and Wigner distribution method in quantum transport

National Science Foundation of China

¥10,000rmb

Co-PI

2017-2019

Research on new model reduction on radiation transport and high efficient numerical methods

National Science Foundation of China

¥300,000rmb

Co-PI

2015-2018

Bottom modeling and model reduction on gas-solid system and investigation on  mechanism of mesoscale structure

National Science Foundation of China

¥350,000rmb

Co-PI

Invited Talks

“The Wellposedness of the 1D Stationary Wigner Equation with Inflow Boundary Conditions”.The 10th International Conference on Computational Physics (ICCP10)

Jan.16-20, 2017

Macau, China

“High Energy Density Physics and Mathematics ”.the 3rd International Conference on High Energy Density Physics (ICHEDP2016)

Sep.23-26, 2016

Shenzhen,China

“Numerical Simulation and Theoretical Analysis of Quantum Transport Equation”.The 12nd world congress on computational mechanics (WCCMX11)

July24-29, 2016

Seoul,Korea