Ravisankar, Rajamanickam; Vudragović, Dušan; Muruganandam, Paulsamy; Balaž, Antun; Adhikari, Sadhan K. Spin-1 spin-orbit- and Rabi-coupled Bose-Einstein condensate solver. (English) Zbl 07689587 Comput. Phys. Commun. 259, Article ID 107657, 11 p. (2021). MSC: 82-XX 81-XX PDFBibTeX XMLCite \textit{R. Ravisankar} et al., Comput. Phys. Commun. 259, Article ID 107657, 11 p. (2021; Zbl 07689587) Full Text: DOI arXiv
Kishor Kumar, Ramavarmaraja; Lončar, Vladimir; Muruganandam, Paulsamy; Adhikari, Sadhan K.; Balaž, Antun C and Fortran OpenMP programs for rotating Bose-Einstein condensates. (English) Zbl 07674763 Comput. Phys. Commun. 240, 74-82 (2019). MSC: 82-XX 81-XX PDFBibTeX XMLCite \textit{R. Kishor Kumar} et al., Comput. Phys. Commun. 240, 74--82 (2019; Zbl 07674763) Full Text: DOI arXiv
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
Lorin, Emmanuel; Bandrauk, A. D. Multiresolution scheme for time-dependent Schrödinger equation. (English) Zbl 1205.65237 Comput. Phys. Commun. 181, No. 3, 626-638 (2010). MSC: 65M06 35Q40 35K20 81Q05 65T60 PDFBibTeX XMLCite \textit{E. Lorin} and \textit{A. D. Bandrauk}, Comput. Phys. Commun. 181, No. 3, 626--638 (2010; Zbl 1205.65237) Full Text: DOI
Jin, Jicheng; Wu, Xiaonan Convergence of a finite element scheme for the two-dimensional time-dependent Schrödinger equation in a long strip. (English) Zbl 1191.65118 J. Comput. Appl. Math. 234, No. 3, 777-793 (2010). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 65M12 65M60 35Q40 81Q05 65M06 PDFBibTeX XMLCite \textit{J. Jin} and \textit{X. Wu}, J. Comput. Appl. Math. 234, No. 3, 777--793 (2010; Zbl 1191.65118) Full Text: DOI
Bisognin, Vanilde; Sepúlveda, Mauricio; Vera, Octavio On the nonexistence of asymptotically free solutions for a coupled nonlinear Schrödinger system. (English) Zbl 1170.35529 Appl. Numer. Math. 59, No. 9, 2285-2302 (2009). MSC: 35Q55 35B40 35B45 81V80 65M06 PDFBibTeX XMLCite \textit{V. Bisognin} et al., Appl. Numer. Math. 59, No. 9, 2285--2302 (2009; Zbl 1170.35529) Full Text: DOI Link
Schulte, Maike; Arnold, Anton Discrete transparent boundary conditions for the Schrödinger equation – a compact higher order scheme. (English) Zbl 1145.65058 Kinet. Relat. Models 1, No. 1, 101-125 (2008). MSC: 65M06 65M12 35Q40 82D37 81Q05 PDFBibTeX XMLCite \textit{M. Schulte} and \textit{A. Arnold}, Kinet. Relat. Models 1, No. 1, 101--125 (2008; Zbl 1145.65058) Full Text: DOI
Bao, Weizhu; Sun, Fangfang Efficient and stable numerical methods for the generalized and vector Zakharov system. (English) Zbl 1076.35114 SIAM J. Sci. Comput. 26, No. 3, 1057-1088 (2005). Reviewer: Igor Andrianov (Köln) MSC: 35Q55 65N12 65T40 81-08 PDFBibTeX XMLCite \textit{W. Bao} and \textit{F. Sun}, SIAM J. Sci. Comput. 26, No. 3, 1057--1088 (2005; Zbl 1076.35114) Full Text: DOI Link
Antoine, Xavier; Besse, Christophe; Mouysset, Vincent Numerical schemes for the simulation of the two-dimensional Schrödinger equation using non-reflecting boundary conditions. (English) Zbl 1053.65072 Math. Comput. 73, No. 248, 1779-1799 (2004). Reviewer: K. T. S. Iyengar (Bangalore) MSC: 65M12 35Q40 65M06 81Q05 65M60 PDFBibTeX XMLCite \textit{X. Antoine} et al., Math. Comput. 73, No. 248, 1779--1799 (2004; Zbl 1053.65072) Full Text: DOI
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Evans, D. J.; Roomi, A. S. A note on the numerical solution of the Schrödinger equation. (English) Zbl 0704.65098 Int. J. Comput. Math. 35, No. 1-4, 169-174 (1990). Reviewer: C.A.De Moura MSC: 65Z05 65M06 65F05 81Q05 35Q40 PDFBibTeX XMLCite \textit{D. J. Evans} and \textit{A. S. Roomi}, Int. J. Comput. Math. 35, No. 1--4, 169--174 (1990; Zbl 0704.65098) Full Text: DOI
Lu, Bainian Finite difference scheme for a class of generalized nonselfadjoint and nonlinear Schrödinger equations. (Chinese. English summary) Zbl 0687.65117 Numer. Math., Nanjing 11, No. 3, 248-260 (1989). MSC: 65Z05 65N12 35Q99 81Q05 PDFBibTeX XMLCite \textit{B. Lu}, Numer. Math., Nanjing 11, No. 3, 248--260 (1989; Zbl 0687.65117)
Tourigny, Y.; Morris, J. Ll. An investigation into the effect of product approximation in the numerical solution of the cubic nonlinear Schrödinger equation. (English) Zbl 0641.65090 J. Comput. Phys. 76, No. 1, 103-130 (1988). Reviewer: Hou Zongyi MSC: 65Z05 65M20 35Q99 81Q05 PDFBibTeX XMLCite \textit{Y. Tourigny} and \textit{J. Ll. Morris}, J. Comput. Phys. 76, No. 1, 103--130 (1988; Zbl 0641.65090) Full Text: DOI
Guo, Benyu The convergence of a numerical method for the nonlinear Schrödinger equation. (English) Zbl 0598.65092 J. Comput. Math. 4, 121-130 (1986). Reviewer: V.Makarov MSC: 65Z05 65N12 81Q05 35Q99 PDFBibTeX XMLCite \textit{B. Guo}, J. Comput. Math. 4, 121--130 (1986; Zbl 0598.65092)
Sanz-Serna, J. M. Methods for the numerical solution of the nonlinear Schrödinger equation. (English) Zbl 0555.65061 Math. Comput. 43, 21-27 (1984). Reviewer: B.Burrows MSC: 65M60 65M12 35Q99 81Q05 PDFBibTeX XMLCite \textit{J. M. Sanz-Serna}, Math. Comput. 43, 21--27 (1984; Zbl 0555.65061) Full Text: DOI
Griffiths, D. F.; Mitchell, A. R.; Morris, J. Ll. A numerical study of the nonlinear Schrödinger equation. (English) Zbl 0555.65060 Comput. Methods Appl. Mech. Eng. 45, 177-215 (1984). Reviewer: B.Burrows MSC: 65M60 65M12 81Q05 35Q99 PDFBibTeX XMLCite \textit{D. F. Griffiths} et al., Comput. Methods Appl. Mech. Eng. 45, 177--215 (1984; Zbl 0555.65060) Full Text: DOI
Xiang, Xinmin A finite element analysis for a class of system of high order, multidimensional and nonlinear Schrödinger equations. (Chinese. English summary) Zbl 0552.65086 Numer. Math., Nanjing 6, 51-64 (1984). Reviewer: B.Guo MSC: 65Z05 65N30 35Q99 81Q05 PDFBibTeX XMLCite \textit{X. Xiang}, Numer. Math., Nanjing 6, 51--64 (1984; Zbl 0552.65086)
Wang, Shenlin An A.D.I. Galerkin method and the estimation of the convergence rate for the Schrödinger equation. (Chinese. English summary) Zbl 0572.65107 Numer. Math., Nanjing 5, 204-214 (1983). MSC: 65Z05 65N15 65N30 35Q99 81Q05 PDFBibTeX XMLCite \textit{S. Wang}, Numer. Math., Nanjing 5, 204--214 (1983; Zbl 0572.65107)