Date: 5/12/2016

9:00 - 10:15 : discussion + visit at the Mathematics department
10:15 - 11:30 : Room F207
NUS presentation by Zhu Chengbo
followed by Colloquium talk by Bao Weizhu

Speaker: Professor Weizhu Bao
         Department of Mathematics
         National University of Singapore
 
Title: Computational methods for the dynamics of the nonlinear Schroedinger/Gross-Pitaevskii equations and applications 
 
Abstract: 
In this talk, I begin with the nonlinear Schroedinger/Gross-Pitaevskii  equations (NLSE/GPE) for modeling Bose-Einstein condensation (BEC), nonlinear  optics, etc., and review some dynamical properties of NLSE/GPE  including conserved quantities, dispersion relation, center-of-mass dynamics,  soliton solutions and semiclassical limits. Different numerical methods  will be presented including finite different time domain (FDTD) methods  and time-splitting spectral method, and their error estimates and  comparison will be discussed. Extensions to NLSE/GPE with an angular  momentum rotation term and/or non-local dipole-dipole interaction  as well as multi-component will be presented. Finally, applications  to soliton interactions, collapse and explosion of BEC, quantum transport  and quantized vortex interaction will be investigated.