Aljawi, Salma; Marletta, Marco On the eigenvalues of spectral gaps of elliptic PDEs on waveguides. (English) Zbl 1506.35129 Integral Equations Oper. Theory 95, No. 1, Paper No. 7, 40 p. (2023). MSC: 35P05 35P15 15A60 PDFBibTeX XMLCite \textit{S. Aljawi} and \textit{M. Marletta}, Integral Equations Oper. Theory 95, No. 1, Paper No. 7, 40 p. (2023; Zbl 1506.35129) Full Text: DOI
Bögli, S.; Ferraresso, F.; Marletta, M.; Tretter, C. Spectral analysis and domain truncation for Maxwell’s equations. (English. French summary) Zbl 1511.35339 J. Math. Pures Appl. (9) 170, 96-135 (2023). Reviewer: Eric Stachura (Marietta) MSC: 35Q61 35P05 35P15 47A10 47A58 78A25 PDFBibTeX XMLCite \textit{S. Bögli} et al., J. Math. Pures Appl. (9) 170, 96--135 (2023; Zbl 1511.35339) Full Text: DOI arXiv
Stepanenko, Alexei Spectral inclusion and pollution for a class of dissipative perturbations. (English) Zbl 1456.81182 J. Math. Phys. 62, No. 1, Article ID 013501, 25 p. (2021). MSC: 81Q10 34L40 34B24 47A10 47A55 47A58 PDFBibTeX XMLCite \textit{A. Stepanenko}, J. Math. Phys. 62, No. 1, Article ID 013501, 25 p. (2021; Zbl 1456.81182) Full Text: DOI arXiv Link
Bögli, Sabine Convergence of sequences of linear operators and their spectra. (English) Zbl 1466.47012 Integral Equations Oper. Theory 88, No. 4, 559-599 (2017). MSC: 47A58 47B28 47A10 47A55 47B07 PDFBibTeX XMLCite \textit{S. Bögli}, Integral Equations Oper. Theory 88, No. 4, 559--599 (2017; Zbl 1466.47012) Full Text: DOI arXiv Link
Barrenechea, G. R.; Boulton, L.; Boussaïd, N. Local two-sided bounds for eigenvalues of self-adjoint operators. (English) Zbl 1375.65074 Numer. Math. 135, No. 4, 953-986 (2017). Reviewer: Alan L. Andrew (Bundoora) MSC: 65J10 65N25 65L60 65L15 65N12 47A10 47A50 47B25 PDFBibTeX XMLCite \textit{G. R. Barrenechea} et al., Numer. Math. 135, No. 4, 953--986 (2017; Zbl 1375.65074) Full Text: DOI
Behnke, Henning Curve veering for the parameter-dependent clamped plate. (English) Zbl 1354.74123 Nehmeier, Marco (ed.) et al., Scientific computing, computer arithmetic, and validated numerics. 16th international symposium, SCAN 2014, Würzburg, Germany, September 21–26, 2014. Revised selected papers. Cham: Springer (ISBN 978-3-319-31768-7/pbk; 978-3-319-31769-4/ebook). Lecture Notes in Computer Science 9553, 259-268 (2016). MSC: 74K20 PDFBibTeX XMLCite \textit{H. Behnke}, Lect. Notes Comput. Sci. 9553, 259--268 (2016; Zbl 1354.74123) Full Text: DOI
Hinchcliffe, James; Strauss, Michael Spectral enclosure and superconvergence for eigenvalues in gaps. (English) Zbl 1331.47008 Integral Equations Oper. Theory 84, No. 1, 1-32 (2016). MSC: 47A10 47A55 47A58 47A75 PDFBibTeX XMLCite \textit{J. Hinchcliffe} and \textit{M. Strauss}, Integral Equations Oper. Theory 84, No. 1, 1--32 (2016; Zbl 1331.47008) Full Text: DOI arXiv
Boulton, Lyonell Spectral pollution and eigenvalue bounds. (English) Zbl 1329.65261 Appl. Numer. Math. 99, 1-23 (2016). MSC: 65N25 65N30 35J25 47A10 PDFBibTeX XMLCite \textit{L. Boulton}, Appl. Numer. Math. 99, 1--23 (2016; Zbl 1329.65261) Full Text: DOI
Boulton, Lyonell; Hobiny, Aatef On the quality of complementary bounds for eigenvalues. (English) Zbl 1331.65107 Calcolo 52, No. 4, 577-601 (2015). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65L15 65L60 34L16 34L40 PDFBibTeX XMLCite \textit{L. Boulton} and \textit{A. Hobiny}, Calcolo 52, No. 4, 577--601 (2015; Zbl 1331.65107) Full Text: DOI arXiv
Kumar, K. Spectral approximation of bounded self-adjoint operators – a short survey. (English) Zbl 1323.47012 Romeo, P.G. (ed.) et al., Semigroups, algebras and operator theory. Selected papers of the conference, ICSAOT-2014, Kochi, India, February 26–28, 2014. New Delhi: Springer (ISBN 978-81-322-2487-7/hbk; 978-81-322-2488-4/ebook). Springer Proceedings in Mathematics & Statistics 142, 185-203 (2015). MSC: 47A58 47B06 47-02 PDFBibTeX XMLCite \textit{K. Kumar}, Springer Proc. Math. Stat. 142, 185--203 (2015; Zbl 1323.47012) Full Text: DOI
Strauss, Michael A new approach to spectral approximation. (English) Zbl 1524.47020 J. Funct. Anal. 267, No. 8, 3084-3103 (2014). MSC: 47A58 47A75 65J10 PDFBibTeX XMLCite \textit{M. Strauss}, J. Funct. Anal. 267, No. 8, 3084--3103 (2014; Zbl 1524.47020) Full Text: DOI arXiv
Marletta, Marco; Naboko, Sergey The finite section method for dissipative operators. (English) Zbl 1297.47031 Mathematika 60, No. 2, 415-443 (2014). MSC: 47B36 34L05 34L15 34L40 47E05 PDFBibTeX XMLCite \textit{M. Marletta} and \textit{S. Naboko}, Mathematika 60, No. 2, 415--443 (2014; Zbl 1297.47031) Full Text: DOI
Strauss, Michael The Galerkin method for perturbed self-adjoint operators and applications. (English) Zbl 1524.47017 J. Spectr. Theory 4, No. 1, 113-151 (2014). MSC: 47A55 47A58 65J10 PDFBibTeX XMLCite \textit{M. Strauss}, J. Spectr. Theory 4, No. 1, 113--151 (2014; Zbl 1524.47017) Full Text: DOI arXiv
Strauss, Michael The second order spectrum and optimal convergence. (English) Zbl 1277.47025 Math. Comput. 82, No. 284, 2305-2325 (2013). Reviewer: Ludwig Kohaupt (Berlin) MSC: 47A75 47B15 PDFBibTeX XMLCite \textit{M. Strauss}, Math. Comput. 82, No. 284, 2305--2325 (2013; Zbl 1277.47025) Full Text: DOI arXiv
Boulton, Lyonell; Strauss, Michael Eigenvalue enclosures and convergence for the linearized MHD operator. (English) Zbl 1254.76170 BIT 52, No. 4, 801-825 (2012). MSC: 76W05 PDFBibTeX XMLCite \textit{L. Boulton} and \textit{M. Strauss}, BIT 52, No. 4, 801--825 (2012; Zbl 1254.76170) Full Text: DOI arXiv
Marletta, Marco; Scheichl, Rob Eigenvalues in spectral gaps of differential operators. (English) Zbl 1256.65079 J. Spectr. Theory 2, No. 3, 293-320 (2012). Reviewer: Kevin Burrage (Brisbane) MSC: 65L15 34L40 PDFBibTeX XMLCite \textit{M. Marletta} and \textit{R. Scheichl}, J. Spectr. Theory 2, No. 3, 293--320 (2012; Zbl 1256.65079) Full Text: DOI
Plum, Michael Computer-assisted proofs for semilinear elliptic boundary value problems. (English) Zbl 1186.35073 Japan J. Ind. Appl. Math. 26, No. 2-3, 419-442 (2009). MSC: 35J61 35J25 47N20 65N35 68T15 PDFBibTeX XMLCite \textit{M. Plum}, Japan J. Ind. Appl. Math. 26, No. 2--3, 419--442 (2009; Zbl 1186.35073) Full Text: DOI Euclid
Kuroda, S. T. Estimates of Kato-Temple type for \(n\)-dimensional spectral measures. (English) Zbl 1136.47015 Publ. Res. Inst. Math. Sci. 43, No. 2, 505-520 (2007). Reviewer: Adhemar Bultheel (Leuven) MSC: 47B15 49R50 35P15 65F15 PDFBibTeX XMLCite \textit{S. T. Kuroda}, Publ. Res. Inst. Math. Sci. 43, No. 2, 505--520 (2007; Zbl 1136.47015) Full Text: DOI
Breuer, B.; Horák, J.; McKenna, P. J.; Plum, M. A computer-assisted existence and multiplicity proof for travelling waves in a nonlinearly supported beam. (English) Zbl 1104.34034 J. Differ. Equations 224, No. 1, 60-97 (2006). Reviewer: Klaudiusz Wójcik (Kraków) MSC: 34C37 34B40 PDFBibTeX XMLCite \textit{B. Breuer} et al., J. Differ. Equations 224, No. 1, 60--97 (2006; Zbl 1104.34034) Full Text: DOI
Toyonaga, K.; Nakao, M. T.; Watanabe, Y. Verified numerical computations for multiple and nearly multiple eigenvalues of elliptic operators. (English) Zbl 1022.65124 J. Comput. Appl. Math. 147, No. 1, 175-190 (2002). Reviewer: Pavel Burda (Praha) MSC: 65N25 65N15 35P15 65G20 PDFBibTeX XMLCite \textit{K. Toyonaga} et al., J. Comput. Appl. Math. 147, No. 1, 175--190 (2002; Zbl 1022.65124) Full Text: DOI
Davies, E. B. A hierarchical method for obtaining eigenvalue enclosures. (English) Zbl 0958.34067 Math. Comput. 69, No. 232, 1435-1455 (2000). Reviewer: T.Regińska (Warszawa) MSC: 34L15 65L15 35P15 65L60 65L70 65N25 PDFBibTeX XMLCite \textit{E. B. Davies}, Math. Comput. 69, No. 232, 1435--1455 (2000; Zbl 0958.34067) Full Text: DOI arXiv
Mertins, U. On the convergence of the Goerisch method for self-adjoint eigenvalue problems with arbitrary spectrum. (English) Zbl 0898.49020 Z. Anal. Anwend. 15, No. 3, 661-686 (1996). Reviewer: R.D.Grigorieff (Berlin) MSC: 49R50 65N25 35P15 PDFBibTeX XMLCite \textit{U. Mertins}, Z. Anal. Anwend. 15, No. 3, 661--686 (1996; Zbl 0898.49020) Full Text: DOI
Behnke, H. A numerically rigorous proof of curve veering in an eigenvalue problem for differential equations. (English) Zbl 0873.65080 Z. Anal. Anwend. 15, No. 1, 181-200 (1996). Reviewer: T.Regińska (Warszawa) MSC: 65L15 65G30 34L15 65L60 PDFBibTeX XMLCite \textit{H. Behnke}, Z. Anal. Anwend. 15, No. 1, 181--200 (1996; Zbl 0873.65080) Full Text: DOI
Behnke, H.; Mertins, U. Bounds on eigenvalues of freely vibrating rectangular plates and investigations into curve veering. (Eigenwertschranken für das Problem der frei schwingenden rechteckigen Platte und Untersuchungen zum Ausweichphänomen.) (German) Zbl 0834.73043 Z. Angew. Math. Mech. 75, No. 5, 343-363 (1995). MSC: 74H45 74K20 35P15 PDFBibTeX XMLCite \textit{H. Behnke} and \textit{U. Mertins}, Z. Angew. Math. Mech. 75, No. 5, 343--363 (1995; Zbl 0834.73043) Full Text: DOI