Guo, Feng; Dai, Weizhong Model and numerical method for soliton propagation through thermal medium based on nonlinear Schrödinger and heat transfer equations. (English) Zbl 07810002 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107790, 31 p. (2024). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M06 65N06 65M12 65M15 35C08 35K05 78A60 74F15 74F05 35Q55 35Q41 35Q60 PDFBibTeX XMLCite \textit{F. Guo} and \textit{W. Dai}, Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107790, 31 p. (2024; Zbl 07810002) Full Text: DOI
Camargo, Liliana; López-Rodríguez, Bibiana; Osorio, Mauricio; Solano, Manuel An adaptive and quasi-periodic HDG method for Maxwell’s equations in heterogeneous media. (English) Zbl 07784041 J. Sci. Comput. 98, No. 1, Paper No. 7, 32 p. (2024). MSC: 65N30 65N12 65N15 78A25 78M10 31A30 35Q61 PDFBibTeX XMLCite \textit{L. Camargo} et al., J. Sci. Comput. 98, No. 1, Paper No. 7, 32 p. (2024; Zbl 07784041) Full Text: DOI OA License
Wang, Tingchun; Yang, Zhuo Uniform error bound of a Crank-Nicolson-type finite difference scheme for Zakharov system in the subsonic limit regime. (English) Zbl 1528.78002 Math. Methods Appl. Sci. 46, No. 12, 12840-12866 (2023). MSC: 78A60 78M20 65M06 65M12 PDFBibTeX XMLCite \textit{T. Wang} and \textit{Z. Yang}, Math. Methods Appl. Sci. 46, No. 12, 12840--12866 (2023; Zbl 1528.78002) Full Text: DOI
Bian, Shasha; Pei, Yitong; Guo, Boling Numerical simulation of a generalized nonlinear derivative Schrödinger equation. (English) Zbl 1512.78027 Electron. Res. Arch. 30, No. 8, 3130-3152 (2022). MSC: 78A60 35Q55 35Q41 35C08 78M20 65M06 65M12 41A25 PDFBibTeX XMLCite \textit{S. Bian} et al., Electron. Res. Arch. 30, No. 8, 3130--3152 (2022; Zbl 1512.78027) Full Text: DOI
Hu, Dongdong; Cai, Wenjun; Xu, Zhuangzhi; Bo, Yonghui; Wang, Yushun Dissipation-preserving Fourier pseudo-spectral method for the space fractional nonlinear sine-Gordon equation with damping. (English) Zbl 07428987 Math. Comput. Simul. 188, 35-59 (2021). MSC: 65-XX 78-XX PDFBibTeX XMLCite \textit{D. Hu} et al., Math. Comput. Simul. 188, 35--59 (2021; Zbl 07428987) Full Text: DOI
Pugh, M. C.; Yan, David; Dawson, F. P. A study of the numerical stability of an ImEx scheme with application to the Poisson-Nernst-Planck equations. (English) Zbl 1467.65085 Appl. Numer. Math. 163, 239-253 (2021). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65M06 65M12 65M50 65F15 78A57 35Q60 PDFBibTeX XMLCite \textit{M. C. Pugh} et al., Appl. Numer. Math. 163, 239--253 (2021; Zbl 1467.65085) Full Text: DOI arXiv
Zhu, Lingxue; Zhou, Zhenhua Convergence and quasi-optimality of an adaptive continuous interior multi-penalty finite element method. (English) Zbl 1480.65352 Int. J. Comput. Math. 97, No. 9, 1884-1907 (2020). MSC: 65N30 65N12 65N15 78A40 PDFBibTeX XMLCite \textit{L. Zhu} and \textit{Z. Zhou}, Int. J. Comput. Math. 97, No. 9, 1884--1907 (2020; Zbl 1480.65352) Full Text: DOI
Hu, Qingjie; Ge, Zhihao; He, Yinnian Discontinuous Galerkin method for the Helmholtz transmission problem in two-level homogeneous media. (English) Zbl 1447.65147 Discrete Contin. Dyn. Syst., Ser. B 25, No. 8, 2923-2948 (2020). Reviewer: Dana Černá (Liberec) MSC: 65N30 65N12 65N15 78A40 PDFBibTeX XMLCite \textit{Q. Hu} et al., Discrete Contin. Dyn. Syst., Ser. B 25, No. 8, 2923--2948 (2020; Zbl 1447.65147) Full Text: DOI
Zhu, Lingxue; Zhou, Zhenhua Convergence and quasi-optimality of an adaptive continuous interior penalty finite element method. (English) Zbl 1488.65683 Adv. Appl. Math. Mech. 11, No. 2, 428-451 (2019). MSC: 65N30 65N12 65N15 78A40 35J15 35J05 PDFBibTeX XMLCite \textit{L. Zhu} and \textit{Z. Zhou}, Adv. Appl. Math. Mech. 11, No. 2, 428--451 (2019; Zbl 1488.65683) Full Text: DOI
Kim, Ji Hyun Uniform mesh method for a Maxwell’s equation with discontinuous coefficients. (English) Zbl 1438.65288 J. Appl. Math. Inform. 37, No. 1-2, 123-131 (2019). MSC: 65N30 65N12 78M10 78M30 65N50 35Q61 PDFBibTeX XMLCite \textit{J. H. Kim}, J. Appl. Math. Inform. 37, No. 1--2, 123--131 (2019; Zbl 1438.65288) Full Text: DOI
Chen, Gang; Cui, Jintao; Xu, Liwei Analysis of a hybridizable discontinuous Galerkin method for the Maxwell operator. (English) Zbl 1416.78023 ESAIM, Math. Model. Numer. Anal. 53, No. 1, 301-324 (2019). MSC: 78M10 65N30 35Q60 78A10 PDFBibTeX XMLCite \textit{G. Chen} et al., ESAIM, Math. Model. Numer. Anal. 53, No. 1, 301--324 (2019; Zbl 1416.78023) Full Text: DOI arXiv
Chen, Huangxin; Qiu, Weifeng; Shi, Ke A priori and computable a posteriori error estimates for an HDG method for the coercive Maxwell equations. (English) Zbl 1440.78005 Comput. Methods Appl. Mech. Eng. 333, 287-310 (2018). MSC: 78M10 65N30 65N15 78A25 PDFBibTeX XMLCite \textit{H. Chen} et al., Comput. Methods Appl. Mech. Eng. 333, 287--310 (2018; Zbl 1440.78005) Full Text: DOI
Lu, Zhongjie; Cesmelioglu, A.; Van der Vegt, J. J. W.; Xu, Yan Discontinuous Galerkin approximations for computing electromagnetic Bloch modes in photonic crystals. (English) Zbl 1362.78008 J. Sci. Comput. 70, No. 2, 922-964 (2017). MSC: 78M10 65N25 65N30 78A60 35Q61 35B65 PDFBibTeX XMLCite \textit{Z. Lu} et al., J. Sci. Comput. 70, No. 2, 922--964 (2017; Zbl 1362.78008) Full Text: DOI
Zhu, Lingxue; Du, Yu Pre-asymptotic error analysis of \(hp\)-interior penalty discontinuous Galerkin methods for the Helmholtz equation with large wave number. (English) Zbl 1443.65385 Comput. Math. Appl. 70, No. 5, 917-933 (2015). MSC: 65N30 65N12 65N15 78M99 PDFBibTeX XMLCite \textit{L. Zhu} and \textit{Y. Du}, Comput. Math. Appl. 70, No. 5, 917--933 (2015; Zbl 1443.65385) Full Text: DOI
Feng, Xiaobing; Wu, Haijun \(hp\)-discontinuous Galerkin methods for the Helmholtz equation with large wave number. (English) Zbl 1228.65222 Math. Comput. 80, No. 276, 1997-2024 (2011). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65N30 65N12 78A40 78M10 35J05 PDFBibTeX XMLCite \textit{X. Feng} and \textit{H. Wu}, Math. Comput. 80, No. 276, 1997--2024 (2011; Zbl 1228.65222) Full Text: DOI arXiv
Sheu, Tony W. H.; Hung, Y. W.; Tsai, M. H.; Chiu, P. H.; Li, J. H. On the development of a triple-preserving Maxwell’s equations solver in non-staggered grids. (English) Zbl 1196.78029 Int. J. Numer. Methods Fluids 63, No. 11, 1328-1346 (2010). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78M12 35Q61 PDFBibTeX XMLCite \textit{T. W. H. Sheu} et al., Int. J. Numer. Methods Fluids 63, No. 11, 1328--1346 (2010; Zbl 1196.78029) Full Text: DOI Link
Čiegis, R.; Dement’ev, A.; Laukaitytė, I. A numerical algorithm for simulation of the Q-switched fiber laser using the travelling wave model. (English) Zbl 1208.78037 Lith. Math. J. 48, No. 3, 270-281 (2008). MSC: 78M20 78A60 65M12 PDFBibTeX XMLCite \textit{R. Čiegis} et al., Lith. Math. J. 48, No. 3, 270--281 (2008; Zbl 1208.78037) Full Text: DOI
Houston, Paul; Perugia, Ilaria; Schneebeli, Anna; Schötzau, Dominik Mixed discontinuous Galerkin approximation of the Maxwell operator: the indefinite case. (English) Zbl 1087.65106 ESAIM, Math. Model. Numer. Anal. 39, No. 4, 727-753 (2005). Reviewer: Johannes Elschner (Berlin) MSC: 65N30 78M10 35Q60 78A25 65N15 PDFBibTeX XMLCite \textit{P. Houston} et al., ESAIM, Math. Model. Numer. Anal. 39, No. 4, 727--753 (2005; Zbl 1087.65106) Full Text: DOI Numdam EuDML
Houston, Paul; Perugia, Ilaria; Schneebeli, Anna; Schötzau, Dominik Interior penalty method for the indefinite time-harmonic Maxwell equations. (English) Zbl 1071.65155 Numer. Math. 100, No. 3, 485-518 (2005). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65N30 35Q60 78A25 78M10 PDFBibTeX XMLCite \textit{P. Houston} et al., Numer. Math. 100, No. 3, 485--518 (2005; Zbl 1071.65155) Full Text: DOI
Houston, Paul; Perugia, Ilaria; Schötzau, Dominik Mixed discontinuous Galerkin approximation of the Maxwell operator: non-stabilized formulation. (English) Zbl 1091.78017 J. Sci. Comput. 22-23, 315-346 (2005). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78M10 65Z05 PDFBibTeX XMLCite \textit{P. Houston} et al., J. Sci. Comput. 22--23, 315--346 (2005; Zbl 1091.78017) Full Text: DOI
Cockburn, Bernardo; Li, Fengyan; Shu, Chi-Wang Locally divergence-free discontinuous Galerkin methods for the Maxwell equations. (English) Zbl 1049.78019 J. Comput. Phys. 194, No. 2, 588-610 (2004). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78M10 65N30 65M60 PDFBibTeX XMLCite \textit{B. Cockburn} et al., J. Comput. Phys. 194, No. 2, 588--610 (2004; Zbl 1049.78019) Full Text: DOI
Besse, Christophe; Bidégaray, Brigitte Numerical study of self-focusing solutions to the Schrödinger-Debye system. (English) Zbl 0979.65086 M2AN, Math. Model. Numer. Anal. 35, No. 1, 35-55 (2001). Reviewer: W.Govaerts (Gent) MSC: 65M70 35Q55 35Q60 65M06 78A15 78M25 PDFBibTeX XMLCite \textit{C. Besse} and \textit{B. Bidégaray}, M2AN, Math. Model. Numer. Anal. 35, No. 1, 35--55 (2001; Zbl 0979.65086) Full Text: DOI Numdam EuDML
Karamikhova, Rossitza Finite element analysis and approximations of a Ginzburg-Landau model of superconductivity. (English) Zbl 0890.65129 Nonlinear Anal., Theory Methods Appl. 30, No. 3, 1893-1904 (1997). Reviewer: Hou Zongyi (Shanghai) MSC: 65Z05 35Q60 78A25 65M60 82D55 PDFBibTeX XMLCite \textit{R. Karamikhova}, Nonlinear Anal., Theory Methods Appl. 30, No. 3, 1893--1904 (1997; Zbl 0890.65129) Full Text: DOI