Kazeev, Vladimir; Oseledets, Ivan; Rakhuba, Maxim V.; Schwab, Christoph Quantized tensor FEM for multiscale problems: diffusion problems in two and three dimensions. (English) Zbl 1496.65220 Multiscale Model. Simul. 20, No. 3, 893-935 (2022). MSC: 65N30 65N50 65N15 65N22 35B27 15A69 PDFBibTeX XMLCite \textit{V. Kazeev} et al., Multiscale Model. Simul. 20, No. 3, 893--935 (2022; Zbl 1496.65220) Full Text: DOI arXiv
Barbarino, Giovanni A systematic approach to reduced GLT. (English) Zbl 1495.15035 BIT 62, No. 3, 681-743 (2022). MSC: 15A60 15A18 15B05 47B06 65N06 65N30 15A69 PDFBibTeX XMLCite \textit{G. Barbarino}, BIT 62, No. 3, 681--743 (2022; Zbl 1495.15035) Full Text: DOI arXiv
Barbarino, Giovanni; Garoni, Carlo; Mazza, Mariarosa; Serra-Capizzano, Stefano Rectangular GLT sequences. (English) Zbl 1493.15085 ETNA, Electron. Trans. Numer. Anal. 55, 585-617 (2022). MSC: 15B05 47B06 65N30 15A69 65D07 65N55 PDFBibTeX XMLCite \textit{G. Barbarino} et al., ETNA, Electron. Trans. Numer. Anal. 55, 585--617 (2022; Zbl 1493.15085) Full Text: DOI arXiv Link
Cardinali, Maria Lucia; Garoni, Carlo; Manni, Carla; Speleers, Hendrik Isogeometric discretizations with generalized B-splines: symbol-based spectral analysis. (English) Zbl 1473.65290 Appl. Numer. Math. 166, 288-312 (2021). MSC: 65N30 65D07 65F15 65N15 65L10 65L15 65L60 15B05 PDFBibTeX XMLCite \textit{M. L. Cardinali} et al., Appl. Numer. Math. 166, 288--312 (2021; Zbl 1473.65290) Full Text: DOI
Barbarino, Giovanni; Garoni, Carlo; Serra-Capizzano, Stefano Block generalized locally Toeplitz sequences: theory and applications in the multidimensional case. (English) Zbl 1434.65033 ETNA, Electron. Trans. Numer. Anal. 53, 113-216 (2020). Reviewer: Nikolay Kyurkchiev (Plovdiv) MSC: 65F15 15B05 65N06 65N30 65N25 PDFBibTeX XMLCite \textit{G. Barbarino} et al., ETNA, Electron. Trans. Numer. Anal. 53, 113--216 (2020; Zbl 1434.65033) Full Text: DOI Link
Barbarino, Giovanni; Garoni, Carlo; Serra-Capizzano, Stefano Block generalized locally Toeplitz sequences: theory and applications in the unidimensional case. (English) Zbl 1434.65032 ETNA, Electron. Trans. Numer. Anal. 53, 28-112 (2020). Reviewer: Nikolay Kyurkchiev (Plovdiv) MSC: 65F15 15B05 65N06 65N30 65N25 PDFBibTeX XMLCite \textit{G. Barbarino} et al., ETNA, Electron. Trans. Numer. Anal. 53, 28--112 (2020; Zbl 1434.65032) Full Text: DOI Link
Gräßle, Carmen; Hinze, Michael; Lang, Jens; Ullmann, Sebastian POD model order reduction with space-adapted snapshots for incompressible flows. (English) Zbl 1435.65157 Adv. Comput. Math. 45, No. 5-6, 2401-2428 (2019). MSC: 65M60 65M06 65M12 35B35 15A18 35Q30 65K05 76D05 PDFBibTeX XMLCite \textit{C. Gräßle} et al., Adv. Comput. Math. 45, No. 5--6, 2401--2428 (2019; Zbl 1435.65157) Full Text: DOI arXiv
Mazza, Mariarosa; Ratnani, Ahmed; Serra-Capizzano, Stefano Spectral analysis and spectral symbol for the 2D curl-curl (stabilized) operator with applications to the related iterative solutions. (English) Zbl 1455.65215 Math. Comput. 88, No. 317, 1155-1188 (2019). MSC: 65N30 15A18 15B05 41A15 15A69 35Q61 65D07 78A30 65N20 PDFBibTeX XMLCite \textit{M. Mazza} et al., Math. Comput. 88, No. 317, 1155--1188 (2019; Zbl 1455.65215) Full Text: DOI
Marcinkowski, Leszek; Rahman, Talal Additive Schwarz with vertex based adaptive coarse space for multiscale problems in 3D. (English) Zbl 1450.65173 Bjørstad, Petter E. (ed.) et al., Domain decomposition methods in science and engineering XXIV. Proceedings of the 24th international conference, Svalbard, Norway, February 6–10, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 125, 475-482 (2018). MSC: 65N55 65N30 65N12 65F35 35J15 35R09 35R05 15A18 PDFBibTeX XMLCite \textit{L. Marcinkowski} and \textit{T. Rahman}, Lect. Notes Comput. Sci. Eng. 125, 475--482 (2018; Zbl 1450.65173) Full Text: DOI
Garoni, Carlo; Mazza, Mariarosa; Serra-Capizzano, Stefano Block generalized locally Toeplitz sequences: from the theory to the applications. (English) Zbl 1434.65034 Axioms 7, No. 3, Paper No. 49, 29 p. (2018). MSC: 65F15 15A18 15B05 65N30 65N06 65D07 47B06 PDFBibTeX XMLCite \textit{C. Garoni} et al., Axioms 7, No. 3, Paper No. 49, 29 p. (2018; Zbl 1434.65034) Full Text: DOI
Benedusi, Pietro; Garoni, Carlo; Krause, Rolf; Li, Xiaozhou; Serra-Capizzano, Stefano Space-time FE-DG discretization of the anisotropic diffusion equation in any dimension: the spectral symbol. (English) Zbl 1507.65176 SIAM J. Matrix Anal. Appl. 39, No. 3, 1383-1420 (2018). MSC: 65M60 65N30 65D07 15A18 15A69 15B05 41A15 80A19 35Q79 PDFBibTeX XMLCite \textit{P. Benedusi} et al., SIAM J. Matrix Anal. Appl. 39, No. 3, 1383--1420 (2018; Zbl 1507.65176) Full Text: DOI
Garoni, Carlo Spectral distribution of PDE discretization matrices from isogeometric analysis: the case of \(L^1\) coefficients and non-regular geometry. (English) Zbl 1390.35211 J. Spectr. Theory 8, No. 1, 297-313 (2018). MSC: 35P20 35R05 65N30 15B05 15A60 PDFBibTeX XMLCite \textit{C. Garoni}, J. Spectr. Theory 8, No. 1, 297--313 (2018; Zbl 1390.35211) Full Text: DOI
Garoni, Carlo; Serra-Capizzano, Stefano The theory of generalized locally Toeplitz sequences: a review, an extension, and a few representative applications. (English) Zbl 1472.47022 Bini, Dario A. (ed.) et al., Large truncated Toeplitz matrices, Toeplitz operators, and related topics. The Albrecht Böttcher anniversary volume. Basel: Birkhäuser/Springer. Oper. Theory: Adv. Appl. 259, 353-394 (2017). MSC: 47B35 47B06 15A18 15A60 65N06 65N30 PDFBibTeX XMLCite \textit{C. Garoni} and \textit{S. Serra-Capizzano}, Oper. Theory: Adv. Appl. 259, 353--394 (2017; Zbl 1472.47022) Full Text: DOI
Garoni, Carlo; Serra-Capizzano, Stefano Generalized locally Toeplitz sequences: theory and applications. Volume I. (English) Zbl 1376.15002 Cham: Springer (ISBN 978-3-319-53678-1/hbk; 978-3-319-53679-8/ebook). xi, 312 p. (2017). Reviewer: Francisco Marcellán (Leganes) MSC: 15-02 15B05 34A30 15A18 35K20 65M06 15B57 PDFBibTeX XMLCite \textit{C. Garoni} and \textit{S. Serra-Capizzano}, Generalized locally Toeplitz sequences: theory and applications. Volume I. Cham: Springer (2017; Zbl 1376.15002) Full Text: DOI
Garoni, Carlo; Serra-Capizzano, Stefano The theory of locally Toeplitz sequences: a review, an extension, and a few representative applications. (English) Zbl 1360.65110 Bol. Soc. Mat. Mex., III. Ser. 22, No. 2, 529-565 (2016). MSC: 65F15 15B05 65N06 65N30 PDFBibTeX XMLCite \textit{C. Garoni} and \textit{S. Serra-Capizzano}, Bol. Soc. Mat. Mex., III. Ser. 22, No. 2, 529--565 (2016; Zbl 1360.65110) Full Text: DOI
Bai, Zhong-Zhi; Huang, Yu-Mei; Ng, Michael K. On preconditioned iterative methods for certain time-dependent partial differential equations. (English) Zbl 1195.65032 SIAM J. Numer. Anal. 47, No. 2, 1019-1037 (2009). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F08 65F10 65M60 15B48 15B05 15A42 PDFBibTeX XMLCite \textit{Z.-Z. Bai} et al., SIAM J. Numer. Anal. 47, No. 2, 1019--1037 (2009; Zbl 1195.65032) Full Text: DOI
Datta, Biswa N.; Sokolov, Vadim Quadratic inverse eigenvalue problems, active vibration control and model updating. (English) Zbl 1194.15008 Appl. Comput. Math. 8, No. 2, 170 (2009). Reviewer: Manouchehr Misaghian (Prairie View) MSC: 15A18 15A29 65F18 70J50 65N30 PDFBibTeX XMLCite \textit{B. N. Datta} and \textit{V. Sokolov}, Appl. Comput. Math. 8, No. 2, 170 (2009; Zbl 1194.15008) Full Text: Link
Hackbusch, Wolfgang Hierarchical matrices. Algorithms and analysis. (Hierarchische Matrizen. Algorithmen und Analysis.) (German) Zbl 1180.65004 Berlin: Springer (ISBN 978-3-642-00221-2/hbk; 978-3-642-00222-9/ebook). xx, 451 p. (2009). Reviewer: Lubomír Bakule (Praha) MSC: 65-02 15-02 65F50 65N22 65N30 65R20 65Y20 15A06 15A24 15A69 65N55 35J25 65F20 65F30 65F05 PDFBibTeX XMLCite \textit{W. Hackbusch}, Hierarchische Matrizen. Algorithmen und Analysis. Berlin: Springer (2009; Zbl 1180.65004) Full Text: DOI