2 citations · 2 across the 9 of their papers we have counts for
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Computing the Bogoliubov-de Gennes excitations of two-component Bose-Einstein condensates
Manting Xie, Yong Zhang
In this paper, we present an efficient and spectrally accurate numerical method to compute elementary/collective excitations in two-component Bose-Einstein condensates (BEC), aroun…
A Bi-Orthogonal Structure-Preserving eigensolver for large-scale linear response eigenvalue problem
Yu Li, Zijing Wang, Yong Zhang
The linear response eigenvalue problem, which arises from many scientific and engineering fields, is quite challenging numerically for large-scale sparse/dense system, especially w…
An efficient Fourier spectral algorithm for the Bogoliubov-de Gennes excitation eigenvalue problem
Yu Li, Zhixuan Li, Manting Xie +1
In this paper, we propose an efficient Fourier spectral algorithm for an eigenvalue problem, that is, the Bogoliubov-de Gennes (BdG) equation arsing from spin-1 Bose-Einstein conde…
Solving highly-oscillatory NLS with SAM: numerical efficiency and geometric properties
Philippe Chartier, Norbert J. Mauser, Florian Méhats +1
In this paper, we present the Stroboscopic Averaging Method (SAM), recently introduced in [7,8,10,12], which aims at numerically solving highly-oscillatory differential equations.…