Chen, Juan; Chen, Fangqi Unconditional \(L_\infty\) convergence of a compact ADI scheme for coupled nonlinear Schrödinger system. (English) Zbl 1437.65092 Appl. Numer. Math. 153, 430-442 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65M06 65M12 65P10 37K10 35Q55 PDFBibTeX XMLCite \textit{J. Chen} and \textit{F. Chen}, Appl. Numer. Math. 153, 430--442 (2020; Zbl 1437.65092) Full Text: DOI
Gerdjikov, V. S.; Todorov, M. D. Manakov model with gain/loss terms and \(N\)-soliton interactions: effects of periodic potentials. (English) Zbl 1420.35355 Appl. Numer. Math. 141, 62-80 (2019). MSC: 35Q55 37K10 37K40 35C08 PDFBibTeX XMLCite \textit{V. S. Gerdjikov} and \textit{M. D. Todorov}, Appl. Numer. Math. 141, 62--80 (2019; Zbl 1420.35355) Full Text: DOI arXiv
Hong, Jialin; Ji, Lihai; Kong, Linghua; Wang, Tingchun Optimal error estimate of a compact scheme for nonlinear Schrödinger equation. (English) Zbl 1370.65072 Appl. Numer. Math. 120, 68-81 (2017). MSC: 65P10 35Q55 37K10 37M15 65M15 65M12 PDFBibTeX XMLCite \textit{J. Hong} et al., Appl. Numer. Math. 120, 68--81 (2017; Zbl 1370.65072) Full Text: DOI
Norton, Terence J. T.; Hill, Adrian T. An iterative starting method to control parasitism for the Leapfrog method. (English) Zbl 1302.65270 Appl. Numer. Math. 87, 145-156 (2015). MSC: 65P10 65L06 37J35 37M15 34L40 PDFBibTeX XMLCite \textit{T. J. T. Norton} and \textit{A. T. Hill}, Appl. Numer. Math. 87, 145--156 (2015; Zbl 1302.65270) Full Text: DOI Link
Ascher, Uri M.; McLachlan, Robert I. Multisymplectic box schemes and the Korteweg-de Vries equation. (English) Zbl 1038.65138 Appl. Numer. Math. 48, No. 3-4, 255-269 (2004). MSC: 65P10 65M06 35Q53 37M15 37K10 PDFBibTeX XMLCite \textit{U. M. Ascher} and \textit{R. I. McLachlan}, Appl. Numer. Math. 48, No. 3--4, 255--269 (2004; Zbl 1038.65138) Full Text: DOI
Durán, A.; López-Marcos, M. A. Numerical behaviour of stable and unstable solitary waves. (English) Zbl 1002.65134 Appl. Numer. Math. 42, No. 1-3, 95-116 (2002). Reviewer: Werner M.Seiler (Mannheim) MSC: 65P10 65M70 37M15 37K10 35Q53 PDFBibTeX XMLCite \textit{A. Durán} and \textit{M. A. López-Marcos}, Appl. Numer. Math. 42, No. 1--3, 95--116 (2002; Zbl 1002.65134) Full Text: DOI
Chan, R. P. K.; Murua, A. Extrapolation of symplectic methods for Hamiltonian problems. (English) Zbl 0951.65138 Appl. Numer. Math. 34, No. 2-3, 189-205 (2000). Reviewer: Yuri V.Rogovchenko (Mersin) MSC: 65P10 37M15 37J35 PDFBibTeX XMLCite \textit{R. P. K. Chan} and \textit{A. Murua}, Appl. Numer. Math. 34, No. 2--3, 189--205 (2000; Zbl 0951.65138) Full Text: DOI