Chen, Haifan; Dong, Guozhi; Liu, Wei; Xie, Ziqing Second-order flows for computing the ground states of rotating Bose-Einstein condensates. (English) Zbl 07649290 J. Comput. Phys. 475, Article ID 111872, 28 p. (2023). MSC: 35Qxx 65Mxx 82Cxx PDFBibTeX XMLCite \textit{H. Chen} et al., J. Comput. Phys. 475, Article ID 111872, 28 p. (2023; Zbl 07649290) Full Text: DOI arXiv
Cai, Jiaxiang; Chen, Juan Efficient dissipation-preserving approaches for the damped nonlinear Schrödinger equation. (English) Zbl 1500.65081 Appl. Numer. Math. 183, 173-185 (2023). MSC: 65M70 65L06 65N35 65T50 65D32 65H10 35Q55 35Q41 82C10 PDFBibTeX XMLCite \textit{J. Cai} and \textit{J. Chen}, Appl. Numer. Math. 183, 173--185 (2023; Zbl 1500.65081) Full Text: DOI
Debnath, Argha; Khan, Ayan; Basu, Saurabh Dropleton-soliton crossover mediated via trap modulation. (English) Zbl 1496.82006 Phys. Lett., A 439, Article ID 128137, 7 p. (2022). MSC: 82B26 82B30 81V73 35C08 35Q55 82M20 65M06 PDFBibTeX XMLCite \textit{A. Debnath} et al., Phys. Lett., A 439, Article ID 128137, 7 p. (2022; Zbl 1496.82006) Full Text: DOI arXiv
Young-S., Luis E.; Adhikari, S. K. Deep inelastic collision of two-dimensional anisotropic dipolar condensate solitons. (English) Zbl 1501.65091 Commun. Nonlinear Sci. Numer. Simul. 106, Article ID 106094, 13 p. (2022). MSC: 65N06 35Q55 35C08 82C10 82B10 76Y05 PDFBibTeX XMLCite \textit{L. E. Young-S.} and \textit{S. K. Adhikari}, Commun. Nonlinear Sci. Numer. Simul. 106, Article ID 106094, 13 p. (2022; Zbl 1501.65091) Full Text: DOI arXiv
Zhang, Yuqing; Liu, Xin; Xie, Manting Efficient and accurate computation of the Bogoliubov-de Gennes excitations for the quasi-2d dipolar Bose-Einstein condensates. (English) Zbl 1482.35189 East Asian J. Appl. Math. 11, No. 4, 686-707 (2021). MSC: 35Q40 35Q41 65M70 65T40 65T50 PDFBibTeX XMLCite \textit{Y. Zhang} et al., East Asian J. Appl. Math. 11, No. 4, 686--707 (2021; Zbl 1482.35189) Full Text: DOI
Liu, Wei; Cai, Yongyong Normalized gradient flow with Lagrange multiplier for computing ground states of Bose-Einstein condensates. (English) Zbl 1461.35198 SIAM J. Sci. Comput. 43, No. 1, B219-B242 (2021). Reviewer: Mohamed Majdoub (Dammam) MSC: 35Q55 65M06 65Z05 82C10 PDFBibTeX XMLCite \textit{W. Liu} and \textit{Y. Cai}, SIAM J. Sci. Comput. 43, No. 1, B219--B242 (2021; Zbl 1461.35198) Full Text: DOI
Zhang, Xuping; Zhang, Jintao; Yu, Bo Finding multiple solutions to elliptic systems with polynomial nonlinearity. (English) Zbl 07771428 Numer. Methods Partial Differ. Equations 36, No. 5, 1074-1097 (2020). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{X. Zhang} et al., Numer. Methods Partial Differ. Equations 36, No. 5, 1074--1097 (2020; Zbl 07771428) Full Text: DOI
Gao, Yali; Cai, Yongyong Numerical methods for Bogoliubov-de Gennes excitations of Bose-Einstein condensates. (English) Zbl 1453.81065 J. Comput. Phys. 403, Article ID 109058, 21 p. (2020). MSC: 81V73 65N06 65N35 PDFBibTeX XMLCite \textit{Y. Gao} and \textit{Y. Cai}, J. Comput. Phys. 403, Article ID 109058, 21 p. (2020; Zbl 1453.81065) Full Text: DOI
Antoine, Xavier; Geuzaine, Christophe; Tang, Qinglin Perfectly matched layer for computing the dynamics of nonlinear Schrödinger equations by pseudospectral methods. Application to rotating Bose-Einstein condensates. (English) Zbl 1453.65353 Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105406, 15 p. (2020). MSC: 65M70 35Q41 35Q55 82C10 PDFBibTeX XMLCite \textit{X. Antoine} et al., Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105406, 15 p. (2020; Zbl 1453.65353) Full Text: DOI HAL
Wu, Leqin; Liu, Xin; Wen, Zaiwen Symmetric rank-1 approximation of symmetric high-order tensors. (English) Zbl 1429.65080 Optim. Methods Softw. 35, No. 2, 416-438 (2020). MSC: 65F15 15A69 15A18 65K05 90C22 90C26 PDFBibTeX XMLCite \textit{L. Wu} et al., Optim. Methods Softw. 35, No. 2, 416--438 (2020; Zbl 1429.65080) Full Text: DOI
Adhikari, S. K. Phase-separated vortex-lattice in a rotating binary Bose-Einstein condensate. (English) Zbl 1464.82007 Commun. Nonlinear Sci. Numer. Simul. 71, 212-219 (2019). MSC: 82C10 65M06 76Y05 PDFBibTeX XMLCite \textit{S. K. Adhikari}, Commun. Nonlinear Sci. Numer. Simul. 71, 212--219 (2019; Zbl 1464.82007) Full Text: DOI arXiv
Zhang, Ning; Xu, Fei; Xie, Hehu An efficient multigrid method for ground state solution of Bose-Einstein condensates. (English) Zbl 1434.65287 Int. J. Numer. Anal. Model. 16, No. 5, 789-803 (2019). MSC: 65N30 65N50 65N55 35Q55 65N25 65N12 82M10 PDFBibTeX XMLCite \textit{N. Zhang} et al., Int. J. Numer. Anal. Model. 16, No. 5, 789--803 (2019; Zbl 1434.65287) Full Text: arXiv Link
Yang, Qingzhi; Huang, Pengfei; Liu, Yajun Numerical examples for solving a class of nonlinear eigenvalue problems. (Chinese. English summary) Zbl 1449.65309 J. Numer. Methods Comput. Appl. 40, No. 2, 130-142 (2019). MSC: 65N25 35Q40 35Q90 90C22 PDFBibTeX XMLCite \textit{Q. Yang} et al., J. Numer. Methods Comput. Appl. 40, No. 2, 130--142 (2019; Zbl 1449.65309)
Bao, Weizhu; Ruan, Xinran Computing ground states of Bose-Einstein condensates with higher order interaction via a regularized density function formulation. (English) Zbl 1439.35436 SIAM J. Sci. Comput. 41, No. 6, B1284-B1309 (2019). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q55 65N06 65N25 90C30 35B65 82M36 65N12 90C25 65K10 PDFBibTeX XMLCite \textit{W. Bao} and \textit{X. Ruan}, SIAM J. Sci. Comput. 41, No. 6, B1284--B1309 (2019; Zbl 1439.35436) Full Text: DOI arXiv
Xie, Hehu; Xie, Manting Computable error estimates for ground state solution of Bose-Einstein condensates. (English) Zbl 1427.65383 J. Sci. Comput. 81, No. 2, 1072-1087 (2019). MSC: 65N30 65N25 46E35 35Q55 65N15 82B10 35P15 PDFBibTeX XMLCite \textit{H. Xie} and \textit{M. Xie}, J. Sci. Comput. 81, No. 2, 1072--1087 (2019; Zbl 1427.65383) Full Text: DOI arXiv
Bao, Weizhu; Cai, Yongyong Mathematical models and numerical methods for spinor Bose-Einstein condensates. (English) Zbl 1475.65064 Commun. Comput. Phys. 24, No. 4, 899-965 (2018). MSC: 65M06 65M70 35Q55 81Q05 35P30 PDFBibTeX XMLCite \textit{W. Bao} and \textit{Y. Cai}, Commun. Comput. Phys. 24, No. 4, 899--965 (2018; Zbl 1475.65064) Full Text: DOI arXiv
Yuan, Yongjun; Xu, Zhiguo; Tang, Qinglin; Wang, Hanquan The numerical study of the ground states of spin-1 Bose-Einstein condensates with spin-orbit-coupling. (English) Zbl 1468.65118 East Asian J. Appl. Math. 8, No. 3, 598-610 (2018). MSC: 65M06 82C10 81V73 PDFBibTeX XMLCite \textit{Y. Yuan} et al., East Asian J. Appl. Math. 8, No. 3, 598--610 (2018; Zbl 1468.65118) Full Text: DOI
Ruan, Xinran A normalized gradient flow method with attractive-repulsive splitting for computing ground states of Bose-Einstein condensates with higher-order interaction. (English) Zbl 1415.65198 J. Comput. Phys. 367, 374-390 (2018). MSC: 65M06 65M70 81V70 35Q40 PDFBibTeX XMLCite \textit{X. Ruan}, J. Comput. Phys. 367, 374--390 (2018; Zbl 1415.65198) Full Text: DOI arXiv
Zhao, Qiang; Qiu, Zhi-Qi; Zhang, Li-li Vortex dynamics of rotating dipolar Bose-Einstein condensates in synthetic magnetic field. (English) Zbl 1417.65182 Int. J. Theor. Phys. 57, No. 12, 3658-3667 (2018). MSC: 65M70 65T50 82C10 35Q55 35R09 PDFBibTeX XMLCite \textit{Q. Zhao} et al., Int. J. Theor. Phys. 57, No. 12, 3658--3667 (2018; Zbl 1417.65182) Full Text: DOI
Zhao, Qiang; Zhang, Li-li; Rui, Zhou Properties of the Shannon information entropy in rotating Bose-Einstein condensate. (English) Zbl 1417.82021 Int. J. Theor. Phys. 57, No. 10, 2921-2930 (2018). MSC: 82C10 35Q55 94A24 82-08 65M06 65T50 PDFBibTeX XMLCite \textit{Q. Zhao} et al., Int. J. Theor. Phys. 57, No. 10, 2921--2930 (2018; Zbl 1417.82021) Full Text: DOI
Bader, Philipp Fourier-splitting methods for the dynamics of rotating Bose-Einstein condensates. (English) Zbl 1382.65462 J. Comput. Appl. Math. 336, 267-280 (2018). MSC: 65P10 37M15 35Q82 PDFBibTeX XMLCite \textit{P. Bader}, J. Comput. Appl. Math. 336, 267--280 (2018; Zbl 1382.65462) Full Text: DOI arXiv
González-Gaxiola, O.; Franco, Pedro; Bernal-Jaquez, R. Solution of the nonlinear Schrödinger equation with defocusing strength nonlinearities through the Laplace-Adomian decomposition method. (English) Zbl 1397.65218 Int. J. Appl. Comput. Math. 3, No. 4, 3723-3743 (2017). MSC: 65M99 35Q55 37K40 37L65 PDFBibTeX XMLCite \textit{O. González-Gaxiola} et al., Int. J. Appl. Comput. Math. 3, No. 4, 3723--3743 (2017; Zbl 1397.65218) Full Text: DOI arXiv
Wang, Hanquan A splitting compact finite difference method for computing the dynamics of dipolar Bose-Einstein condensate. (English) Zbl 1394.65080 Int. J. Comput. Math. 94, No. 10, 2027-2040 (2017). MSC: 65M06 65M22 35Q55 65T50 PDFBibTeX XMLCite \textit{H. Wang}, Int. J. Comput. Math. 94, No. 10, 2027--2040 (2017; Zbl 1394.65080) Full Text: DOI
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
Henning, Patrick; Målqvist, Axel The finite element method for the time-dependent Gross-Pitaevskii equation with angular momentum rotation. (English) Zbl 1362.65105 SIAM J. Numer. Anal. 55, No. 2, 923-952 (2017). MSC: 65M60 65M15 35J10 PDFBibTeX XMLCite \textit{P. Henning} and \textit{A. Målqvist}, SIAM J. Numer. Anal. 55, No. 2, 923--952 (2017; Zbl 1362.65105) Full Text: DOI arXiv
Zhang, Rongpei; Zhu, Jiang; Li, Xiang-Gui; Loula, Abimael F. D.; Yu, Xijun A Krylov semi-implicit discontinuous Galerkin method for the computation of ground and excited states in Bose-Einstein condensates. (English) Zbl 1459.65192 Appl. Math. Modelling 40, No. 7-8, 5096-5110 (2016). MSC: 65M60 78M10 PDFBibTeX XMLCite \textit{R. Zhang} et al., Appl. Math. Modelling 40, No. 7--8, 5096--5110 (2016; Zbl 1459.65192) Full Text: DOI
Dong, Biao; Wang, Lin-Xue; Chen, Guang-Ping; Han, Wei; Zhang, Shou-Gang; Zhang, Xiao-Fei Equilibrium vortex lattices of a binary rotating atomic Bose-Einstein condensate with unequal atomic masses. (English) Zbl 1380.81501 Ann. Phys. 373, 178-187 (2016). MSC: 81V70 82B80 35Q40 65Z05 PDFBibTeX XMLCite \textit{B. Dong} et al., Ann. Phys. 373, 178--187 (2016; Zbl 1380.81501) Full Text: DOI arXiv
Lončar, Vladimir; Young-S., Luis E.; Škrbić, Srdjan; Muruganandam, Paulsamy; Adhikari, Sadhan K.; Balaž, Antun OpenMP, OpenMP/MPI, and CUDA/MPI C programs for solving the time-dependent dipolar Gross-Pitaevskii equation. (English) Zbl 1380.65474 Comput. Phys. Commun. 209, 190-196 (2016). MSC: 65Y15 65N06 65Y05 65Z05 82B10 PDFBibTeX XMLCite \textit{V. Lončar} et al., Comput. Phys. Commun. 209, 190--196 (2016; Zbl 1380.65474) Full Text: DOI arXiv
Vergez, Guillaume; Danaila, Ionut; Auliac, Sylvain; Hecht, Frédéric A finite-element toolbox for the stationary Gross-Pitaevskii equation with rotation. (English) Zbl 1380.65389 Comput. Phys. Commun. 209, 144-162 (2016). MSC: 65N30 65Y15 65Z05 65-04 82B10 PDFBibTeX XMLCite \textit{G. Vergez} et al., Comput. Phys. Commun. 209, 144--162 (2016; Zbl 1380.65389) Full Text: DOI arXiv
Young-S., Luis E.; Vudragović, Dušan; Muruganandam, Paulsamy; Adhikari, Sadhan K.; Balaž, Antun OpenMP Fortran and C programs for solving the time-dependent Gross-Pitaevskii equation in an anisotropic trap. (English) Zbl 1380.65480 Comput. Phys. Commun. 204, 209-213 (2016). MSC: 65Y15 65M06 82B10 PDFBibTeX XMLCite \textit{L. E. Young-S.} et al., Comput. Phys. Commun. 204, 209--213 (2016; Zbl 1380.65480) Full Text: DOI arXiv
Marojević, Želimir; Göklü, Ertan; Lämmerzahl, Claus ATUS-PRO: a FEM-based solver for the time-dependent and stationary Gross-Pitaevskii equation. (English) Zbl 1348.35005 Comput. Phys. Commun. 202, 216-232 (2016). MSC: 35-04 35Q55 82-04 65M60 65N30 PDFBibTeX XMLCite \textit{Ž. Marojević} et al., Comput. Phys. Commun. 202, 216--232 (2016; Zbl 1348.35005) Full Text: DOI arXiv
Liao, Cuicui; Shen, Wanqiang; Ding, Xiaohua Multi-symplectic variational integrators for the Gross-Pitaevskii equations in BEC. (English) Zbl 1381.35163 Appl. Math. Lett. 60, 120-125 (2016). MSC: 35Q55 37M15 65P10 81Q80 PDFBibTeX XMLCite \textit{C. Liao} et al., Appl. Math. Lett. 60, 120--125 (2016; Zbl 1381.35163) Full Text: DOI
Das, Tapan Kumar Hyperspherical harmonics expansion techniques. Application to problems in physics. (English) Zbl 1417.81010 Theoretical and Mathematical Physics (Cham). New Delhi: Springer (ISBN 978-81-322-2360-3/hbk; 978-81-322-2361-0/ebook). xi, 159 p. (2016). Reviewer: Serban Misicu (Bucureşti) MSC: 81-02 81V05 81V10 81V35 81V70 33C45 45J05 65L12 PDFBibTeX XMLCite \textit{T. K. Das}, Hyperspherical harmonics expansion techniques. Application to problems in physics. New Delhi: Springer (2016; Zbl 1417.81010) Full Text: DOI
Bao, Weizhu; Cai, Yongyong Ground states and dynamics of spin-orbit-coupled Bose-Einstein condensates. (English) Zbl 1335.35227 SIAM J. Appl. Math. 75, No. 2, 492-517 (2015). Reviewer: Milan Pokorný (Praha) MSC: 35Q55 81-08 49J45 65N06 65N12 65Z05 PDFBibTeX XMLCite \textit{W. Bao} and \textit{Y. Cai}, SIAM J. Appl. Math. 75, No. 2, 492--517 (2015; Zbl 1335.35227) Full Text: DOI arXiv
Sierra, Jesús; Kasimov, Aslan; Markowich, Peter; Weishäupl, Rada-Maria On the Gross-Pitaevskii equation with pumping and decay: stationary states and their stability. (English) Zbl 1318.35109 J. Nonlinear Sci. 25, No. 3, 709-739 (2015). MSC: 35Q55 65M70 82B10 82-08 PDFBibTeX XMLCite \textit{J. Sierra} et al., J. Nonlinear Sci. 25, No. 3, 709--739 (2015; Zbl 1318.35109) Full Text: DOI arXiv
Laponin, V. S. Search for soliton solutions in the three-dimensional Gross-Pitaevskii equation. (English. Russian original) Zbl 1294.35141 Comput. Math. Model. 25, No. 3, 306-314 (2014); translation from Prikl. Mat. Inf. 43, 15-24 (2013). MSC: 35Q55 35C08 65M12 PDFBibTeX XMLCite \textit{V. S. Laponin}, Comput. Math. Model. 25, No. 3, 306--314 (2014; Zbl 1294.35141); translation from Prikl. Mat. Inf. 43, 15--24 (2013) Full Text: DOI
Li, Si-Qi; Li, Xiang-Gui; Hua, Dong-Ying The numerical method for computing the ground state of the two-component dipolar Bose-Einstein condensate. (English) Zbl 1383.82006 Adv. Difference Equ. 2013, Paper No. 204, 8 p. (2013). MSC: 82-08 82C10 82C22 65M06 65N35 PDFBibTeX XMLCite \textit{S.-Q. Li} et al., Adv. Difference Equ. 2013, Paper No. 204, 8 p. (2013; Zbl 1383.82006) Full Text: DOI
Bao, Weizhu; Chern, I-Liang; Zhang, Yanzhi Efficient numerical methods for computing ground states of spin-1 Bose-Einstein condensates based on their characterizations. (English) Zbl 1349.82069 J. Comput. Phys. 253, 189-208 (2013). MSC: 82C80 65M70 82D40 PDFBibTeX XMLCite \textit{W. Bao} et al., J. Comput. Phys. 253, 189--208 (2013; Zbl 1349.82069) Full Text: DOI
Shih, Yin-Tzer; Tsai, Chih-Ching A two-parameter continuation algorithm using radial basis function collocation method for rotating Bose-Einstein condensates. (English) Zbl 1349.82119 J. Comput. Phys. 252, 37-51 (2013). MSC: 82C80 65M70 82B10 PDFBibTeX XMLCite \textit{Y.-T. Shih} and \textit{C.-C. Tsai}, J. Comput. Phys. 252, 37--51 (2013; Zbl 1349.82119) Full Text: DOI
Bao, Weizhu; Marahrens, Daniel; Tang, Qinglin; Zhang, Yanzhi A simple and efficient numerical method for computing the dynamics of rotating Bose–Einstein condensates via rotating Lagrangian coordinates. (English) Zbl 1286.35213 SIAM J. Sci. Comput. 35, No. 6, A2671-A2695 (2013). MSC: 35Q41 65M70 81Q05 81V45 82D50 PDFBibTeX XMLCite \textit{W. Bao} et al., SIAM J. Sci. Comput. 35, No. 6, A2671--A2695 (2013; Zbl 1286.35213) Full Text: DOI arXiv Link
Bao, Weizhu; Cai, Yongyong Optimal error estimates of finite difference methods for the Gross-Pitaevskii equation with angular momentum rotation. (English) Zbl 1264.65146 Math. Comput. 82, No. 281, 99-128 (2013). Reviewer: Qin Mengzhao (Beijing) MSC: 65M15 65M12 65M06 65M22 81-08 35Q40 PDFBibTeX XMLCite \textit{W. Bao} and \textit{Y. Cai}, Math. Comput. 82, No. 281, 99--128 (2013; Zbl 1264.65146) Full Text: DOI
Farhat, Charbel; Toivanen, Jari A hybrid discontinuous Galerkin method for computing the ground state solution of Bose-Einstein condensates. (English) Zbl 1250.81040 J. Comput. Phys. 231, No. 14, 4709-4722 (2012). MSC: 81Q10 65M60 35Q55 82B26 PDFBibTeX XMLCite \textit{C. Farhat} and \textit{J. Toivanen}, J. Comput. Phys. 231, No. 14, 4709--4722 (2012; Zbl 1250.81040) Full Text: DOI
Bao, Weizhu; Cai, Yongyong Ground states of two-component Bose-Einstein condensates with an internal atomic Josephson junction. (English) Zbl 1290.35236 East Asian J. Appl. Math. 1, No. 1, 49-81 (2011). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35Q55 49J45 65N06 65N12 65Z05 81-08 82D55 PDFBibTeX XMLCite \textit{W. Bao} and \textit{Y. Cai}, East Asian J. Appl. Math. 1, No. 1, 49--81 (2011; Zbl 1290.35236) Full Text: DOI Link
Kong, Linghua; Hong, Jialin; Fu, Fangfang; Chen, Jing Symplectic structure-preserving integrators for the two-dimensional Gross-Pitaevskii equation for BEC. (English) Zbl 1223.65097 J. Comput. Appl. Math. 235, No. 17, 4937-4948 (2011). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65P10 37M15 35L65 65M15 PDFBibTeX XMLCite \textit{L. Kong} et al., J. Comput. Appl. Math. 235, No. 17, 4937--4948 (2011; Zbl 1223.65097) Full Text: DOI
Danaila, Ionut; Kazemi, Parimah A new Sobolev gradient method for direct minimization of the Gross-Pitaevskii energy with rotation. (English) Zbl 1216.35006 SIAM J. Sci. Comput. 32, No. 5, 2447-2467 (2010). MSC: 35A15 35A01 65K10 35Q55 PDFBibTeX XMLCite \textit{I. Danaila} and \textit{P. Kazemi}, SIAM J. Sci. Comput. 32, No. 5, 2447--2467 (2010; Zbl 1216.35006) Full Text: DOI arXiv
Bao, Weizhu; Zhang, Yanzhi Dynamical laws of the coupled Gross-Pitaevskii equations for spin-1 Bose-Einstein condensates. (English) Zbl 1206.35225 Methods Appl. Anal. 17, No. 1, 49-80 (2010). MSC: 35Q55 65Z05 65N12 65N35 81-08 81V80 35A24 PDFBibTeX XMLCite \textit{W. Bao} and \textit{Y. Zhang}, Methods Appl. Anal. 17, No. 1, 49--80 (2010; Zbl 1206.35225) Full Text: DOI Euclid
Yang, Jianke Nonlinear waves in integrable and nonintegrable systems. (English) Zbl 1234.35006 Mathematical Modeling and Computation 16. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-0-898717-05-1/pbk; 978-0-89871-968-0/ebook). xxvi, 430 p. (2010). Reviewer: Georg Hebermehl (Berlin) MSC: 35-02 37-02 65-02 35Q55 35Q41 35Q51 35J10 35P10 37K10 37K15 65N25 65N35 37K40 78A60 82C10 PDFBibTeX XMLCite \textit{J. Yang}, Nonlinear waves in integrable and nonintegrable systems. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2010; Zbl 1234.35006) Full Text: DOI
Danaila, Ionut; Hecht, Frédéric A finite element method with mesh adaptivity for computing vortex states in fast-rotating Bose-Einstein condensates. (English) Zbl 1198.82035 J. Comput. Phys. 229, No. 19, 6946-6960 (2010). MSC: 82C05 82C26 82-08 82B31 35Q55 65M60 65M50 PDFBibTeX XMLCite \textit{I. Danaila} and \textit{F. Hecht}, J. Comput. Phys. 229, No. 19, 6946--6960 (2010; Zbl 1198.82035) Full Text: DOI arXiv
Bao, Weizhu; Li, Hailiang; Shen, Jie A generalized-Laguerre-Fourier-Hermite pseudospectral method for computing the dynamics of rotating Bose-Einstein condensates. (English) Zbl 1205.82096 SIAM J. Sci. Comput. 31, No. 5, 3685-3711 (2009). Reviewer: Dominik Strzałka (Rzeszów) MSC: 82C10 65T99 35Q55 65Z05 65N35 65N12 81V80 PDFBibTeX XMLCite \textit{W. Bao} et al., SIAM J. Sci. Comput. 31, No. 5, 3685--3711 (2009; Zbl 1205.82096) Full Text: DOI
Trofimov, V. A.; Peskov, N. V. Comparison of finite-difference schemes for the Gross-Pitaevskii equation. (English) Zbl 1169.82011 Math. Model. Anal. 14, No. 1, 109-126 (2009). MSC: 82C10 65N06 35Q55 82C80 PDFBibTeX XMLCite \textit{V. A. Trofimov} and \textit{N. V. Peskov}, Math. Model. Anal. 14, No. 1, 109--126 (2009; Zbl 1169.82011) Full Text: DOI
Tian, Yimin; Qin, Mengzhao; Zhang, Yongming; Ma, Tao The multisymplectic numerical method for Gross-Pitaevskii equation. (English) Zbl 1196.82067 Comput. Phys. Commun. 178, No. 6, 449-458 (2008). MSC: 82B10 82B80 65M06 PDFBibTeX XMLCite \textit{Y. Tian} et al., Comput. Phys. Commun. 178, No. 6, 449--458 (2008; Zbl 1196.82067) Full Text: DOI
Bao, Weizhu; Lim, Fong Yin Computing ground states of spin-1 Bose-Einstein condensates by the normalized gradient flow. (English) Zbl 1173.81028 SIAM J. Sci. Comput. 30, No. 4, 1925-1948 (2008). MSC: 81V70 35Q55 65T99 65Z05 65N12 65N35 81-08 82B26 PDFBibTeX XMLCite \textit{W. Bao} and \textit{F. Y. Lim}, SIAM J. Sci. Comput. 30, No. 4, 1925--1948 (2008; Zbl 1173.81028) Full Text: DOI arXiv
Bao, Weizhu Analysis and efficient computation for the dynamics of two-component Bose-Einstein condensates. (English) Zbl 1159.35404 Farina, Alberto (ed.) et al., Stationary and time dependent Gross-Pitaevskii equations. Wolfgang Pauli Institute 2006 thematic program, January–December, 2006, Vienna, Austria. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4357-4/pbk). Contemporary Mathematics 473, 1-26 (2008). MSC: 35Q40 81V80 65Z05 PDFBibTeX XMLCite \textit{W. Bao}, Contemp. Math. 473, 1--26 (2008; Zbl 1159.35404)
Leung, Mary Ann E.; Reinhardt, William P. Efficient parallel implementation of Bose Hubbard model: Exact numerical ground states and dynamics of gaseous Bose-Einstein condensates. (English) Zbl 1196.82055 Comput. Phys. Commun. 177, No. 4, 348-356 (2007). MSC: 82-08 82-04 82B80 65Y05 PDFBibTeX XMLCite \textit{M. A. E. Leung} and \textit{W. P. Reinhardt}, Comput. Phys. Commun. 177, No. 4, 348--356 (2007; Zbl 1196.82055) Full Text: DOI
Bao, Weizhu; Wang, Hanquan A mass and magnetization conservative and energy-diminishing numerical method for computing ground state of spin-1 Bose-Einstein condensates. (English) Zbl 1149.82018 SIAM J. Numer. Anal. 45, No. 5, 2177-2200 (2007). MSC: 82C10 35Q55 65M06 65Z05 82D40 82C80 PDFBibTeX XMLCite \textit{W. Bao} and \textit{H. Wang}, SIAM J. Numer. Anal. 45, No. 5, 2177--2200 (2007; Zbl 1149.82018) Full Text: DOI
Bao, Weizhu; Du, Qiang; Zhang, Yanzhi Dynamics of rotating Bose-Einstein condensates and its efficient and accurate numerical computation. (English) Zbl 1141.35052 SIAM J. Appl. Math. 66, No. 3, 758-786 (2006). MSC: 35Q55 65N35 82C10 PDFBibTeX XMLCite \textit{W. Bao} et al., SIAM J. Appl. Math. 66, No. 3, 758--786 (2006; Zbl 1141.35052) Full Text: DOI Link
Javanainen, Juha; Ruostekoski, Janne Symbolic calculation in development of algorithms: split-step methods for the Gross-Pitaevskii equation. (English) Zbl 1091.35091 J. Phys. A, Math. Gen. 39, No. 12, L179-L184 (2006). MSC: 35Q55 81Q05 65M70 82B10 PDFBibTeX XMLCite \textit{J. Javanainen} and \textit{J. Ruostekoski}, J. Phys. A, Math. Gen. 39, No. 12, L179--L184 (2006; Zbl 1091.35091) Full Text: DOI arXiv
Chang, Shu-Ming; Kuo, Yuen-Cheng; Lin, Wen-Wei; Shieh, Shih-Feng A continuation BSOR-Lanczos–Galerkin method for positive bound states of a multi-component Bose-Einstein condensate. (English) Zbl 1082.82007 J. Comput. Phys. 210, No. 2, 439-458 (2005). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 82C27 35Q55 65P30 65N22 65N25 65N30 PDFBibTeX XMLCite \textit{S.-M. Chang} et al., J. Comput. Phys. 210, No. 2, 439--458 (2005; Zbl 1082.82007) Full Text: DOI
Skorupski, A. A.; Infeld, E. Eigenvalue problem for a set of coupled Schrödinger-like ODEs. (English) Zbl 1069.65091 ANACM, Appl. Numer. Anal. Comput. Math. 2, No. 1, 167-174 (2005). MSC: 65L15 34L16 34L40 PDFBibTeX XMLCite \textit{A. A. Skorupski} and \textit{E. Infeld}, ANACM, Appl. Numer. Anal. Comput. Math. 2, No. 1, 167--174 (2005; Zbl 1069.65091) Full Text: DOI
Bao, Weizhu; Du, Qiang Computing the ground state solution of Bose-Einstein condensates by a normalized gradient flow. (English) Zbl 1061.82025 SIAM J. Sci. Comput. 25, No. 5, 1674-1697 (2004). MSC: 82C80 35Q55 65M06 65M70 PDFBibTeX XMLCite \textit{W. Bao} and \textit{Q. Du}, SIAM J. Sci. Comput. 25, No. 5, 1674--1697 (2004; Zbl 1061.82025) Full Text: DOI arXiv
Bao, Weizhu; Jaksch, Dieter An explicit unconditionally stable numerical method for solving damped nonlinear Schrödinger equations with a focusing nonlinearity. (English) Zbl 1054.35088 SIAM J. Numer. Anal. 41, No. 4, 1406-1426 (2003). MSC: 35Q55 65T40 65N12 65N35 81-08 PDFBibTeX XMLCite \textit{W. Bao} and \textit{D. Jaksch}, SIAM J. Numer. Anal. 41, No. 4, 1406--1426 (2003; Zbl 1054.35088) Full Text: DOI arXiv