- 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 |