Antoine, Xavier; Tang, Qinglin; Zhang, Yong A preconditioned conjugated gradient method for computing ground states of rotating dipolar Bose-Einstein condensates via kernel truncation method for dipole-dipole interaction evaluation. (English) Zbl 1475.65142 Commun. Comput. Phys. 24, No. 4, 966-988 (2018). MSC: 65M70 35Q55 35Q40 35Q41 81-08 PDFBibTeX XMLCite \textit{X. Antoine} et al., Commun. Comput. Phys. 24, No. 4, 966--988 (2018; Zbl 1475.65142) Full Text: DOI HAL
Danaila, Ionut; Protas, Bartosz Computation of ground states of the Gross-Pitaevskii functional via Riemannian optimization. (English) Zbl 1378.81174 SIAM J. Sci. Comput. 39, No. 6, B1102-B1129 (2017). MSC: 81V70 35Q55 82D05 82B26 82B28 39A12 65J15 46N40 90C53 90C30 PDFBibTeX XMLCite \textit{I. Danaila} and \textit{B. Protas}, SIAM J. Sci. Comput. 39, No. 6, B1102--B1129 (2017; Zbl 1378.81174) Full Text: DOI arXiv
Antoine, Xavier; Duboscq, Romain Modeling and computation of Bose-Einstein condensates: stationary states, nucleation, dynamics, stochasticity. (English) Zbl 1344.35114 Besse, Christophe (ed.) et al., Nonlinear optical and atomic systems. At the interface of physics and mathematics. Based on lecture notes given at the 2013 Painlevé-CEMPI-PhLAM thematic semester. Cham: Springer; Lille: Centre Européen pour les Mathématiques, la Physiques et leurs Interactions (CEMPI) (ISBN 978-3-319-19014-3/pbk; 978-3-319-19015-0/ebook). Lecture Notes in Mathematics 2146, 49-145 (2015). Reviewer: Georg Hebermehl (Berlin) MSC: 35Q40 35Q55 82B10 82B26 82-08 82-03 01A60 65M06 65M70 65T50 PDFBibTeX XMLCite \textit{X. Antoine} and \textit{R. Duboscq}, Lect. Notes Math. 2146, 49--145 (2015; Zbl 1344.35114) Full Text: DOI HAL
Antoine, Xavier; Duboscq, Romain GPELab, a Matlab toolbox to solve Gross-Pitaevskii equations. I: Computation of stationary solutions. (English) Zbl 1348.35003 Comput. Phys. Commun. 185, No. 11, 2969-2991 (2014). MSC: 35-04 82-04 35Q55 82-08 PDFBibTeX XMLCite \textit{X. Antoine} and \textit{R. Duboscq}, Comput. Phys. Commun. 185, No. 11, 2969--2991 (2014; Zbl 1348.35003) Full Text: DOI
Caliari, Marco; Rainer, Stefan GSGPEs: a MATLAB code for computing the ground state of systems of Gross-Pitaevskii equations. (English) Zbl 1302.35004 Comput. Phys. Commun. 184, No. 3, 812-823 (2013). MSC: 35-04 81-04 35Q55 65M70 PDFBibTeX XMLCite \textit{M. Caliari} and \textit{S. Rainer}, Comput. Phys. Commun. 184, No. 3, 812--823 (2013; Zbl 1302.35004) Full Text: DOI
Caliari, Marco; Ostermann, Alexander; Rainer, Stefan; Thalhammer, Mechthild A minimisation approach for computing the ground state of Gross-Pitaevskii systems. (English) Zbl 1159.82311 J. Comput. Phys. 228, No. 2, 349-360 (2009). MSC: 82C10 35Q55 82C80 65K10 PDFBibTeX XMLCite \textit{M. Caliari} et al., J. Comput. Phys. 228, No. 2, 349--360 (2009; Zbl 1159.82311) Full Text: DOI