LU Tiao
Associate Professor
2502E
tlu@pku.edu.cn
Education
Ph.D., Peking University, 2004.
B.S., Peking University, 1999.
B.S., Peking University, 1999.
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 media5. Pseudo-differential operators
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 media5. Pseudo-differential operators
Selected Publication
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.
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.