CV

Department of Mathematical Sciences Rensselaer Polytechnic Institute

110 8th Street, Amos Eaton 412

Troy, NY 12180

Tel: 518-276-6917

Email: xul3@rpi.edu

Research Interests

Contact

Liwei Xu

Discontinuous Galerkin Methods, Boundary Element Methods, Finite Element Methods,  and Spectral Methods

Magnetohydrodynamic Equations, Nonlinear Water Wave Equations, Electromagnetic Equations,  Helmholtz Equations, and Time-harmonic Navier Equations


 Maojun Li,  Philippe Guyenne, Fengyan Li, Liwei Xu,  High Order Well-balanced  Positivity-preserving Central  DG Methods for  Shallow Water Wave Equations, submitted, 2013 
George C. Hsiao, Liwei Xu, Shangyou Zhang, Solving Negative Order Equations by the Multigrid Method via Variable Substitution, submitted, 2012
Maojun Li, Philippe Guyenne, Fengyan Li, Liwei Xu, High-order Well-balanced CDG-FE Methods for Shallow Water Waves by the Green-Naghdi Model, submitted, 2012
Yue Cheng, Fengyan Li, Jianxian Qiu, Liwei Xu, Positivity-preserving DG and Central DG Methods for ideal MHD Equations, in press, J. of Comp. Phys. 232 (2013)
 Tegan Wbster, Liwei Xu, Margaret Cheney,  Antenna Beam Patterns in MIMO Radar,   IEEE RADARCON (2012)
Fengyan Li,  Liwei Xu, Sergey Yakovlev, Central Discontinuous Galerkin Methods for   Ideal MHD Equations, J.of Comp. Sci., 4  (2013), 80-91
Fengyan Li, Liwei Xu,  Arbitrary Order Exactly Divergence-free Central Discontinuous Galerkin Methods  for Ideal MHD Equations, J. of Comp.  Phys., 231 (2012), 2655-2675

Recent Publications

Numerical Analysis and Scientific Computing