Chương trình chuyến thăm của đoàn Khoa Toán ĐHQG Singapore (NUS) vào ngày 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. Kính mời mọi người quan tâm tới dự. 10:00-11:00 : Writing test for students, Room: E201A. Xem thông báo riêng về việc cấp học bổng của NUS 11:30-12:30 : interview for students, Room: E201A |
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Chuyến thăm của đoàn Khoa Toán ĐHQG Singapore ngày 5/12
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