Trofimov, Vyacheslav; Loginova, Maria; Egorenkov, Vladimir; Yang, Yongqiang; Wang, Meng Cross-impact of beam local wavenumbers on the efficiency of self-adaptive artificial boundary conditions for two-dimensional nonlinear Schrödinger equation. (English) Zbl 07795461 Math. Methods Appl. Sci. 46, No. 15, 16006-16036 (2023). MSC: 65N06 35M33 35Q60 35Q41 PDFBibTeX XMLCite \textit{V. Trofimov} et al., Math. Methods Appl. Sci. 46, No. 15, 16006--16036 (2023; Zbl 07795461) Full Text: DOI
Becker, Simon; Sewell, Jonathan; Tebbutt, Euan Computability of magnetic Schrödinger and Hartree equations on unbounded domains. (English) Zbl 07776964 Numer. Methods Partial Differ. Equations 39, No. 2, 1299-1332 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{S. Becker} et al., Numer. Methods Partial Differ. Equations 39, No. 2, 1299--1332 (2023; Zbl 07776964) Full Text: DOI arXiv
Guo, Feng; Dai, Weizhong A new absorbing layer approach for solving the nonlinear Schrödinger equation. (English) Zbl 07705792 Appl. Numer. Math. 189, 88-106 (2023). MSC: 65Mxx 65Nxx 35Qxx PDFBibTeX XMLCite \textit{F. Guo} and \textit{W. Dai}, Appl. Numer. Math. 189, 88--106 (2023; Zbl 07705792) Full Text: DOI
Guo, Feng; Dai, Weizhong A new absorbing layer for simulation of wave propagation based on a KdV model on unbounded domain. (English) Zbl 1486.65104 Appl. Numer. Math. 174, 46-70 (2022). MSC: 65M06 65N06 35J25 35Q53 35R05 PDFBibTeX XMLCite \textit{F. Guo} and \textit{W. Dai}, Appl. Numer. Math. 174, 46--70 (2022; Zbl 1486.65104) Full Text: DOI
Trofimov, Vyacheslav A.; Trykin, Evgeny M. Enhancement of ABCs efficiency at computer simulation of optical pulse interaction with inhomogeneous nonlinear medium. (English) Zbl 1453.65235 J. Comput. Phys. 399, Article ID 108947, 19 p. (2019). MSC: 65M06 65Z05 35Q60 35Q55 78A60 PDFBibTeX XMLCite \textit{V. A. Trofimov} and \textit{E. M. Trykin}, J. Comput. Phys. 399, Article ID 108947, 19 p. (2019; Zbl 1453.65235) Full Text: DOI
Soffer, Avy; Zhao, Xiaofei A modulation equations approach for numerically solving the moving soliton and radiation solutions of NLS. (English) Zbl 1364.35341 Physica D 320, 77-88 (2016). MSC: 35Q55 35C08 65L15 65M70 PDFBibTeX XMLCite \textit{A. Soffer} and \textit{X. Zhao}, Physica D 320, 77--88 (2016; Zbl 1364.35341) Full Text: DOI arXiv
Jüngel, Ansgar; Mennemann, Jan-Frederik Time-dependent simulations of quantum waveguides using a time-splitting spectral method. (English) Zbl 1205.81091 Math. Comput. Simul. 81, No. 4, 883-898 (2010). MSC: 81Q37 81Q05 65M70 35Q41 37N20 81T80 82D77 PDFBibTeX XMLCite \textit{A. Jüngel} and \textit{J.-F. Mennemann}, Math. Comput. Simul. 81, No. 4, 883--898 (2010; Zbl 1205.81091) Full Text: DOI
Stucchio, Chris; Soffer, Avy Multiscale resolution of shortwave-longwave interaction. (English) Zbl 1155.65084 Commun. Pure Appl. Math. 62, No. 1, 82-124 (2009). MSC: 65M70 65M15 35Q55 PDFBibTeX XMLCite \textit{C. Stucchio} and \textit{A. Soffer}, Commun. Pure Appl. Math. 62, No. 1, 82--124 (2009; Zbl 1155.65084) Full Text: DOI arXiv
Zheng, Chunxiong A perfectly matched layer approach to the nonlinear Schrödinger wave equations. (English) Zbl 1127.65078 J. Comput. Phys. 227, No. 1, 537-556 (2007). MSC: 65M70 35Q55 PDFBibTeX XMLCite \textit{C. Zheng}, J. Comput. Phys. 227, No. 1, 537--556 (2007; Zbl 1127.65078) Full Text: DOI