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
Jia, Junqing; Jiang, Xiaoyun Improved uniform error bounds of exponential wave integrator method for long-time dynamics of the space fractional Klein-Gordon equation with weak nonlinearity. (English) Zbl 07761546 J. Sci. Comput. 97, No. 3, Paper No. 58, 30 p. (2023). MSC: 65-XX 35R11 35Q55 65M12 65M15 PDFBibTeX XMLCite \textit{J. Jia} and \textit{X. Jiang}, J. Sci. Comput. 97, No. 3, Paper No. 58, 30 p. (2023; Zbl 07761546) Full Text: DOI arXiv
Boßmann, Lea; Petrat, Sören Weak Edgeworth expansion for the mean-field Bose gas. (English) Zbl 07724004 Lett. Math. Phys. 113, No. 4, Paper No. 77, 38 p. (2023). MSC: 81V73 60F05 81V70 35P15 65F35 70B05 35P10 PDFBibTeX XMLCite \textit{L. Boßmann} and \textit{S. Petrat}, Lett. Math. Phys. 113, No. 4, Paper No. 77, 38 p. (2023; Zbl 07724004) 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
Liu, Wei; Yuan, Yongjun; Zhao, Xiaofei Computing the action ground state for the rotating nonlinear Schrödinger equation. (English) Zbl 1514.35129 SIAM J. Sci. Comput. 45, No. 2, A397-A426 (2023). MSC: 35J10 35Q55 65N12 PDFBibTeX XMLCite \textit{W. Liu} et al., SIAM J. Sci. Comput. 45, No. 2, A397--A426 (2023; Zbl 1514.35129) Full Text: DOI arXiv
Friedman, Isaac; Riaño, Oscar; Roudenko, Svetlana; Son, Diana; Yang, Kai Well-posedness and dynamics of solutions to the generalized KdV with low power nonlinearity. (English) Zbl 1511.35313 Nonlinearity 36, No. 1, 584-635 (2023). Reviewer: Ti-Jun Xiao (Fudan) MSC: 35Q53 35Q35 35B40 35B44 35A01 35A02 35C08 65M70 65N35 65L06 PDFBibTeX XMLCite \textit{I. Friedman} et al., Nonlinearity 36, No. 1, 584--635 (2023; Zbl 1511.35313) Full Text: DOI arXiv
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
Roudenko, Svetlana; Wang, Zhongming; Yang, Kai Dynamics of solutions in the generalized Benjamin-Ono equation: a numerical study. (English) Zbl 07515841 J. Comput. Phys. 445, Article ID 110570, 25 p. (2021). MSC: 35Qxx 76Bxx 65Mxx PDFBibTeX XMLCite \textit{S. Roudenko} et al., J. Comput. Phys. 445, Article ID 110570, 25 p. (2021; Zbl 07515841) Full Text: DOI arXiv
Zhao, Xiaofei Numerical integrators for continuous disordered nonlinear Schrödinger equation. (English) Zbl 1482.35222 J. Sci. Comput. 89, No. 2, Paper No. 40, 27 p. (2021). MSC: 35Q55 35Q41 35B65 65L20 65L70 65M06 65M12 65M15 65T50 65P10 60H40 82C44 35R60 PDFBibTeX XMLCite \textit{X. Zhao}, J. Sci. Comput. 89, No. 2, Paper No. 40, 27 p. (2021; Zbl 1482.35222) Full Text: DOI arXiv
Dodson, Benjamin; Soffer, Avraham; Spencer, Thomas Global well-posedness for the cubic nonlinear Schrödinger equation with initial data lying in \(L^p\)-based Sobolev spaces. (English) Zbl 1476.35233 J. Math. Phys. 62, No. 7, Article ID 071507, 13 p. (2021). Reviewer: Johanna Michor (Wien) MSC: 35Q55 35Q41 35B65 35C08 35A01 35A02 37K40 65M06 65H10 82B20 82B26 PDFBibTeX XMLCite \textit{B. Dodson} et al., J. Math. Phys. 62, No. 7, Article ID 071507, 13 p. (2021; Zbl 1476.35233) Full Text: DOI arXiv
Goudon, Thierry; Vivion, Léo Numerical investigation of Landau damping in dynamical Lorentz gases. (English) Zbl 1487.65149 Physica D 403, Article ID 132310, 23 p. (2020). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 65M06 65N30 65P10 82C22 82C40 76P05 35Q83 PDFBibTeX XMLCite \textit{T. Goudon} and \textit{L. Vivion}, Physica D 403, Article ID 132310, 23 p. (2020; Zbl 1487.65149) Full Text: DOI Link
Carrillo, José A.; Hopf, Katharina; Wolfram, Marie-Therese Numerical study of Bose-Einstein condensation in the Kaniadakis-Quarati model for bosons. (English) Zbl 1441.35235 Kinet. Relat. Models 13, No. 3, 507-529 (2020). MSC: 35Q84 35Q40 35K20 35B44 65M06 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Kinet. Relat. Models 13, No. 3, 507--529 (2020; Zbl 1441.35235) Full Text: DOI arXiv
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
Nicponski, John; Jung, Jae-Hun A note on high-precision approximation of asymptotically decaying solution and orthogonal decomposition. (English) Zbl 1415.65155 J. Sci. Comput. 76, No. 1, 189-215 (2018). MSC: 65L05 65L20 83C57 PDFBibTeX XMLCite \textit{J. Nicponski} and \textit{J.-H. Jung}, J. Sci. Comput. 76, No. 1, 189--215 (2018; Zbl 1415.65155) Full Text: DOI
Britt, S.; Tsynkov, S.; Turkel, E. Numerical solution of the wave equation with variable wave speed on nonconforming domains by high-order difference potentials. (English) Zbl 1380.65146 J. Comput. Phys. 354, 26-42 (2018). MSC: 65M06 35L05 PDFBibTeX XMLCite \textit{S. Britt} et al., J. Comput. Phys. 354, 26--42 (2018; Zbl 1380.65146) Full Text: DOI
Alejo, Miguel A.; Muñoz, Claudio; Palacios, José M. On the variational structure of breather solutions. I: Sine-Gordon equation. (English) Zbl 1366.65102 J. Math. Anal. Appl. 453, No. 2, 1111-1138 (2017). MSC: 65N22 35J60 37K10 35B35 PDFBibTeX XMLCite \textit{M. A. Alejo} et al., J. Math. Anal. Appl. 453, No. 2, 1111--1138 (2017; Zbl 1366.65102) 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
Berikelashvili, G.; Jokhadze, O.; Kharibegashvili, S.; Midodashvili, B. Finite difference solution of a nonlinear Klein-Gordon equation with an external source. (English) Zbl 1215.65138 Math. Comput. 80, No. 274, 847-862 (2011). Reviewer: Marius Ghergu (Dublin) MSC: 65M06 35L70 35Q40 65M12 PDFBibTeX XMLCite \textit{G. Berikelashvili} et al., Math. Comput. 80, No. 274, 847--862 (2011; Zbl 1215.65138) Full Text: DOI
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
Soffer, A.; Stucchio, C. Open boundaries for the nonlinear Schrödinger equation. (English) Zbl 1122.65094 J. Comput. Phys. 225, No. 2, 1218-1232 (2007). MSC: 65M70 35Q55 65M15 PDFBibTeX XMLCite \textit{A. Soffer} and \textit{C. Stucchio}, J. Comput. Phys. 225, No. 2, 1218--1232 (2007; Zbl 1122.65094) Full Text: DOI arXiv
Bridges, Thomas J.; Derks, Gianne; Gottwald, Georg Stability and instability of solitary waves of the fifth-order KdV equation: a numerical framework. (English) Zbl 1047.37053 Physica D 172, No. 1-4, 190-216 (2002). MSC: 37K40 35Q51 35Q53 37M99 65M99 PDFBibTeX XMLCite \textit{T. J. Bridges} et al., Physica D 172, No. 1--4, 190--216 (2002; Zbl 1047.37053) Full Text: DOI