Hochbruck, Marlis; Köhler, Jonas Error analysis of a fully discrete discontinuous Galerkin alternating direction implicit discretization of a class of linear wave-type problems. (English) Zbl 1497.65173 Numer. Math. 150, No. 3, 893-927 (2022). Reviewer: Yinhua Xia (Hefei) MSC: 65M60 65M06 65N30 65M12 65M15 78A25 78M10 78M20 35Q61 PDFBibTeX XMLCite \textit{M. Hochbruck} and \textit{J. Köhler}, Numer. Math. 150, No. 3, 893--927 (2022; Zbl 1497.65173) Full Text: DOI
Su, Xiao-Xing; Wang, Yue-Sheng; Zhang, Chuanzeng A matrix-exponential decomposition based time-domain method for calculating the defect states of scalar waves in two-dimensional periodic structures. (English) Zbl 1415.65200 J. Comput. Phys. 337, 403-420 (2017). MSC: 65M06 65F60 78M20 78A40 PDFBibTeX XMLCite \textit{X.-X. Su} et al., J. Comput. Phys. 337, 403--420 (2017; Zbl 1415.65200) Full Text: DOI
Botchev, Mikhail A. Krylov subspace exponential time domain solution of Maxwell’s equations in photonic crystal modeling. (English) Zbl 1322.65056 J. Comput. Appl. Math. 293, 20-34 (2016). MSC: 65F60 65F30 65N22 65L05 35Q61 82D25 82C80 PDFBibTeX XMLCite \textit{M. A. Botchev}, J. Comput. Appl. Math. 293, 20--34 (2016; Zbl 1322.65056) Full Text: DOI
Hochbruck, Marlis; Jahnke, Tobias; Schnaubelt, Roland Convergence of an ADI splitting for Maxwell’s equations. (English) Zbl 1323.78018 Numer. Math. 129, No. 3, 535-561 (2015). Reviewer: Gunther Schmidt (Berlin) MSC: 78M20 65M12 35Q61 65M15 47D03 65J10 PDFBibTeX XMLCite \textit{M. Hochbruck} et al., Numer. Math. 129, No. 3, 535--561 (2015; Zbl 1323.78018) Full Text: DOI Link
Verwer, J. G.; Botchev, M. A. Unconditionally stable integration of Maxwell’s equations. (English) Zbl 1170.78004 Linear Algebra Appl. 431, No. 3-4, 300-317 (2009). Reviewer: V. D. Sharma (Mumbai) MSC: 78M25 65L05 65L20 65M12 65M20 PDFBibTeX XMLCite \textit{J. G. Verwer} and \textit{M. A. Botchev}, Linear Algebra Appl. 431, No. 3--4, 300--317 (2009; Zbl 1170.78004) Full Text: DOI Link
Botchev, M. A.; Faragó, I.; Horváth, R. Application of operator splitting to the Maxwell equations including a source term. (English) Zbl 1159.78346 Appl. Numer. Math. 59, No. 3-4, 522-541 (2009). MSC: 78M10 65M12 35Q60 65M20 65M06 65M60 78M20 PDFBibTeX XMLCite \textit{M. A. Botchev} et al., Appl. Numer. Math. 59, No. 3--4, 522--541 (2009; Zbl 1159.78346) Full Text: DOI
Botchev, M. A.; Harutyunyan, D.; van der Vegt, J. J. W. The Gautschi time stepping scheme for edge finite element discretizations of the Maxwell equations. (English) Zbl 1136.78328 J. Comput. Phys. 216, No. 2, 654-686 (2006). MSC: 78M10 78M20 65M06 65M60 PDFBibTeX XMLCite \textit{M. A. Botchev} et al., J. Comput. Phys. 216, No. 2, 654--686 (2006; Zbl 1136.78328) Full Text: DOI Link