W
Weizhu Bao
Researcher at National University of Singapore
Publications - 225
Citations - 8853
Weizhu Bao is an academic researcher from National University of Singapore. The author has contributed to research in topics: Numerical analysis & Finite element method. The author has an hindex of 45, co-authored 210 publications receiving 7551 citations. Previous affiliations of Weizhu Bao include Georgia Institute of Technology & Imperial College London.
Papers
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Numerical solution of the Gross--Pitaevskii equation for Bose--Einstein condensation
TL;DR: In this article, the numerical solution of the time-dependent Gross-Pitaevskii equation (GPE) describing a Bose-Einstein condensate (BEC) at zero or very low temperature is studied.
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Computing the Ground State Solution of Bose--Einstein Condensates by a Normalized Gradient Flow
Weizhu Bao,Qiang Du +1 more
TL;DR: A continuous normalized gradient flow (CNGF) is presented and its energy diminishing property is proved, which provides a mathematical justification of the imaginary time method used in the physics literature to compute the ground state solution of Bose--Einstein condensates (BEC).
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On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime
TL;DR: In this paper, a time-splitting spectral approximation for the Schrodinger equation in the semiclassical regime is proposed. But the authors consider the case where the Planck constant e is small and require the spatial mesh size h = O(e) and the time step k = o(e).
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Mathematical theory and numerical methods for Bose-Einstein condensation
Weizhu Bao,Yongyong Cai +1 more
TL;DR: In this article, the authors mainly review recent results on mathematical theory and numerical methods for Bose-Einstein condensation (BEC), based on the Gross-Pitaevskii equation (GPE).
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Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations
TL;DR: The nonlinear Schrodinger/Gross–Pitaevskii equation (NLSE/GPE) for modeling Bose–Einstein condensation (BEC) and nonlinear optics as well as other applications is discussed and their dynamical properties ranging from time reversible, time transverse invariant, mass and energy conservation, and dispersion relation to soliton solutions are discussed.