Dong, Bo; Wang, Wei A high-order multiscale discontinuous Galerkin method for two-dimensional Schrödinger equation in quantum transport. (English) Zbl 1502.65196 J. Comput. Appl. Math. 418, Article ID 114701, 14 p. (2023). MSC: 65N30 35Q55 82D37 82D80 81Q05 35B05 35J10 PDFBibTeX XMLCite \textit{B. Dong} and \textit{W. Wang}, J. Comput. Appl. Math. 418, Article ID 114701, 14 p. (2023; Zbl 1502.65196) Full Text: DOI
Alama, Yvonne Bronsard Error analysis of a class of semi-discrete schemes for solving the Gross-Pitaevskii equation at low regularity. (English) Zbl 1502.65107 J. Comput. Appl. Math. 418, Article ID 114632, 19 p. (2023). MSC: 65M60 65M06 65N30 65M12 65M15 35Q55 35Q41 PDFBibTeX XMLCite \textit{Y. B. Alama}, J. Comput. Appl. Math. 418, Article ID 114632, 19 p. (2023; Zbl 1502.65107) Full Text: DOI
Hu, Hanzhang; Chen, Yanping Analysis of finite element two-grid algorithms for two-dimensional nonlinear Schrödinger equation with wave operator. (English) Zbl 1476.65241 J. Comput. Appl. Math. 397, Article ID 113647, 19 p. (2021). MSC: 65M60 65M06 65N30 65M12 65M15 65H10 65N50 35A01 35A02 35Q55 35Q41 PDFBibTeX XMLCite \textit{H. Hu} and \textit{Y. Chen}, J. Comput. Appl. Math. 397, Article ID 113647, 19 p. (2021; Zbl 1476.65241) Full Text: DOI
Mackenzie, J. A.; Mekwi, W. R. An \(hr\)-adaptive method for the cubic nonlinear Schrödinger equation. (English) Zbl 1431.65163 J. Comput. Appl. Math. 364, Article ID 112320, 20 p. (2020). MSC: 65M50 65M06 65M25 65M12 35Q55 35Q41 PDFBibTeX XMLCite \textit{J. A. Mackenzie} and \textit{W. R. Mekwi}, J. Comput. Appl. Math. 364, Article ID 112320, 20 p. (2020; Zbl 1431.65163) Full Text: DOI arXiv
Kılıçman, A.; Hashim, Ishak; Tavassoli Kajani, M.; Maleki, Mohammad On the rational second kind Chebyshev pseudospectral method for the solution of the Thomas-Fermi equation over an infinite interval. (English) Zbl 1294.65080 J. Comput. Appl. Math. 257, 79-85 (2014). MSC: 65L10 34B15 81Q05 65L60 PDFBibTeX XMLCite \textit{A. Kılıçman} et al., J. Comput. Appl. Math. 257, 79--85 (2014; Zbl 1294.65080) Full Text: DOI
Gómez, Francisco J.; Sesma, Javier Connection factors in the Schrödinger equation with a polynomial potential. (English) Zbl 1128.34058 J. Comput. Appl. Math. 207, No. 2, 291-300 (2007). Reviewer: Nikolay Vasilye Grigorenko (Kyïv) MSC: 34M40 34L40 PDFBibTeX XMLCite \textit{F. J. Gómez} and \textit{J. Sesma}, J. Comput. Appl. Math. 207, No. 2, 291--300 (2007; Zbl 1128.34058) Full Text: DOI
Ehrhardt, Matthias; Mickens, Ronald E. Solutions to the discrete Airy equation: application to parabolic equation calculations. (English) Zbl 1060.65092 J. Comput. Appl. Math. 172, No. 1, 183-206 (2004). Reviewer: Leonid B. Chubarov (Novosibirsk) MSC: 65M06 81Q05 35K55 35Q55 76Q05 76M20 65M12 PDFBibTeX XMLCite \textit{M. Ehrhardt} and \textit{R. E. Mickens}, J. Comput. Appl. Math. 172, No. 1, 183--206 (2004; Zbl 1060.65092) Full Text: DOI
Konguetsof, A.; Simos, T. E. A generator of hybrid symmetric four-step methods for the numerical solution of the Schrödinger equation. (English) Zbl 1027.65094 J. Comput. Appl. Math. 158, No. 1, 93-106 (2003). MSC: 65L06 65L20 34L40 34C25 65L05 34A34 PDFBibTeX XMLCite \textit{A. Konguetsof} and \textit{T. E. Simos}, J. Comput. Appl. Math. 158, No. 1, 93--106 (2003; Zbl 1027.65094) Full Text: DOI
Furihata, Daisuke Finite-difference schemes for nonlinear wave equation that inherit energy conservation property. (English) Zbl 0989.65099 J. Comput. Appl. Math. 134, No. 1-2, 37-57 (2001). Reviewer: Luis Vazquez (Madrid) MSC: 65M06 81Q05 81-08 35L70 35Q40 PDFBibTeX XMLCite \textit{D. Furihata}, J. Comput. Appl. Math. 134, No. 1--2, 37--57 (2001; Zbl 0989.65099) Full Text: DOI
Xiang, Kaili; Zhang, Jianjun Explicit two-step high-accuracy hybrid methods with minimal phase-lag for \(y^{\prime\prime}= f(x,y)\) and their application to the one-dimensional Schrödinger equation. (English) Zbl 0930.65082 J. Comput. Appl. Math. 95, No. 1-2, 1-11 (1998). Reviewer: T.E.Simos (Xanthi) MSC: 65L06 65L05 34A34 34L40 PDFBibTeX XMLCite \textit{K. Xiang} and \textit{J. Zhang}, J. Comput. Appl. Math. 95, No. 1--2, 1--11 (1998; Zbl 0930.65082) Full Text: DOI
Thomas, R. M.; Simos, T. E. A family of hybrid exponentially fitted predictor-corrector methods for the numerical integration of the radial Schrödinger equation. (English) Zbl 0890.65083 J. Comput. Appl. Math. 87, No. 2, 215-226 (1997). Reviewer: K.Burrage (Brisbane) MSC: 65L06 65L05 34A34 34L40 65L20 PDFBibTeX XMLCite \textit{R. M. Thomas} and \textit{T. E. Simos}, J. Comput. Appl. Math. 87, No. 2, 215--226 (1997; Zbl 0890.65083) Full Text: DOI
Xia, Linhua New methods of computation for coupled channel equations. (English) Zbl 0865.65054 J. Comput. Appl. Math. 75, No. 2, 281-293 (1996). Reviewer: I.Coroian (Baia Mare) MSC: 65L05 34L40 34A34 PDFBibTeX XMLCite \textit{L. Xia}, J. Comput. Appl. Math. 75, No. 2, 281--293 (1996; Zbl 0865.65054) Full Text: DOI
Thomas, R. M.; Simos, T. E.; Mitsou, G. V. A family of Numerov-type exponentially fitted predictor-corrector methods for the numerical integration of the radial Schrödinger equation. (English) Zbl 0855.65086 J. Comput. Appl. Math. 67, No. 2, 255-270 (1996). Reviewer: M.Bartušek (Brno) MSC: 65L06 65L05 34L40 34A34 PDFBibTeX XMLCite \textit{R. M. Thomas} et al., J. Comput. Appl. Math. 67, No. 2, 255--270 (1996; Zbl 0855.65086) Full Text: DOI
Korzeniowski, Andrzej On computer simulation of Feynman-Kac path-integrals. (English) Zbl 0853.65132 J. Comput. Appl. Math. 66, No. 1-2, 333-336 (1996). Reviewer: V.Burjan (Praha) MSC: 65Z05 35Q40 35Q55 81Q05 PDFBibTeX XMLCite \textit{A. Korzeniowski}, J. Comput. Appl. Math. 66, No. 1--2, 333--336 (1996; Zbl 0853.65132) Full Text: DOI
Simos, T. E. A family of four-step exponentially fitted predictor-corrector methods for the numerical integration of the Schrödinger equation. (English) Zbl 0833.65082 J. Comput. Appl. Math. 58, No. 3, 337-344 (1995). Reviewer: M.Bartušek (Brno) MSC: 65L10 65L06 34B15 34L40 PDFBibTeX XMLCite \textit{T. E. Simos}, J. Comput. Appl. Math. 58, No. 3, 337--344 (1995; Zbl 0833.65082) Full Text: DOI
Simos, T. E. Explicit two-step methods with minimal phase-lag for the numerical integration of special second-order initial-value problems and their application to the one-dimensional Schrödinger equation. (English) Zbl 0755.65075 J. Comput. Appl. Math. 39, No. 1, 89-94 (1992). Reviewer: A.Marciniak (Poznań) MSC: 65L05 34A34 34L40 PDFBibTeX XMLCite \textit{T. E. Simos}, J. Comput. Appl. Math. 39, No. 1, 89--94 (1992; Zbl 0755.65075) Full Text: DOI