Bertoluzza, S.; Falletta, S.; Scuderi, L. Wavelets and convolution quadrature for the efficient solution of a 2D space-time BIE for the wave equation. (English) Zbl 1433.65366 Appl. Math. Comput. 366, Article ID 124726, 21 p. (2020). MSC: 65T60 65T50 PDFBibTeX XMLCite \textit{S. Bertoluzza} et al., Appl. Math. Comput. 366, Article ID 124726, 21 p. (2020; Zbl 1433.65366) Full Text: DOI
Albanesi, Maria Grazia; Amadeo, Riccardo; Bertoluzza, Silvia; Maggi, Giulia Erratum to: “A new class of wavelet-based metrics for image similarity assessment”. (English) Zbl 1398.94022 J. Math. Imaging Vis. 60, No. 2, 283 (2018). MSC: 94A08 42C40 68T45 PDFBibTeX XMLCite \textit{M. G. Albanesi} et al., J. Math. Imaging Vis. 60, No. 2, 283 (2018; Zbl 1398.94022) Full Text: DOI
Albanesi, Maria Grazia; Amadeo, Riccardo; Bertoluzza, Silvia; Maggi, Giulia A new class of wavelet-based metrics for image similarity assessment. (English) Zbl 1387.94011 J. Math. Imaging Vis. 60, No. 1, 109-127 (2018); erratum ibid 60, No. 2, 283 (2018). MSC: 94A08 42C40 68T45 PDFBibTeX XMLCite \textit{M. G. Albanesi} et al., J. Math. Imaging Vis. 60, No. 1, 109--127 (2018; Zbl 1387.94011) Full Text: DOI
Bertoluzza, Silvia; Perrier, Valérie A new construction of boundary interpolating wavelets for fourth order problems. (English) Zbl 1421.65033 Acta Appl. Math. 152, No. 1, 33-56 (2017). Reviewer: Yuri A. Farkov (Moscow) MSC: 65T60 65N35 74K10 74S25 PDFBibTeX XMLCite \textit{S. Bertoluzza} and \textit{V. Perrier}, Acta Appl. Math. 152, No. 1, 33--56 (2017; Zbl 1421.65033) Full Text: DOI HAL
Bertoluzza, Silvia Adaptive wavelet methods. (English) Zbl 1250.65166 Naldi, Giovanni (ed.) et al., Multiscale and adaptivity: Modeling, numerics and applications. C.I.M.E. summer school, Cetraro, Italy, July 6–11, 2009. Berlin: Springer; Firenze: Fondazione CIME Roberto Conti (ISBN 978-3-642-24078-2/pbk; 978-3-642-24079-9/ebook). Lecture Notes in Mathematics 2040, 1-56 (2012). MSC: 65T60 65N35 35J25 65N15 PDFBibTeX XMLCite \textit{S. Bertoluzza}, Lect. Notes Math. 2040, 1--56 (2012; Zbl 1250.65166) Full Text: DOI
Ferreira, A. J. M.; Castro, Luís M. S.; Bertoluzza, Silvia Analysis of plates on Winkler foundation by wavelet collocation. (English) Zbl 1271.74280 Meccanica 46, No. 4, 865-873 (2011). MSC: 74K20 74M15 74H45 74H10 65T60 PDFBibTeX XMLCite \textit{A. J. M. Ferreira} et al., Meccanica 46, No. 4, 865--873 (2011; Zbl 1271.74280) Full Text: DOI
Bertoluzza, Silvia; Falletta, Silvia Analysis of some injection bounds for Sobolev spaces by wavelet decomposition. (Analyse de quelques bornes d’injection des espaces de Sobolev, en utilisant la décomposition par ondelettes.) (English) Zbl 1215.42042 C. R., Math., Acad. Sci. Paris 349, No. 7-8, 421-423 (2011). MSC: 42C40 46E35 42B35 PDFBibTeX XMLCite \textit{S. Bertoluzza} and \textit{S. Falletta}, C. R., Math., Acad. Sci. Paris 349, No. 7--8, 421--423 (2011; Zbl 1215.42042) Full Text: DOI Link
Bertoluzza, Silvia; Falletta, Silvia; Russo, Giovanni; Shu, Chi-Wang Numerical solutions of partial differential equations. (English) Zbl 1159.65001 Advanced Courses in Mathematics - CRM Barcelona. Basel: Birkhäuser (ISBN 978-3-7643-8939-0/pbk). ix, 201 p. (2009). Reviewer: Thomas Sonar (Braunschweig) MSC: 65-02 65M06 65M60 65T60 35L65 35K55 PDFBibTeX XMLCite \textit{S. Bertoluzza} et al., Numerical solutions of partial differential equations. Basel: Birkhäuser (2009; Zbl 1159.65001)
Bertoluzza, Silvia; Falletta, Silvia; Manzini, Gianmarco Efficient design of residual-based stabilization techniques for three fields domain decomposition method. (English) Zbl 1153.65107 Math. Models Methods Appl. Sci. 18, No. 7, 973-999 (2008). MSC: 65N30 35J25 65N55 65N12 65T60 65Y20 PDFBibTeX XMLCite \textit{S. Bertoluzza} et al., Math. Models Methods Appl. Sci. 18, No. 7, 973--999 (2008; Zbl 1153.65107) Full Text: DOI
Bertoluzza, Silvia; Falletta, Silvia; Perrier, Valérie Implementation of the mortar method in the wavelet context. (English) Zbl 1107.65111 J. Sci. Comput. 29, No. 2, 219-255 (2006). MSC: 65N55 65N30 65T60 35J05 PDFBibTeX XMLCite \textit{S. Bertoluzza} et al., J. Sci. Comput. 29, No. 2, 219--255 (2006; Zbl 1107.65111) Full Text: DOI
Bertoluzza, S. The mortar method with approximate constraint: Coupling finite elements on unstructured non-matching grids in 3D. (English) Zbl 1060.65671 Simos, T. E. (ed.) et al., ICNAAM 2004. International conference on numerical analysis and applied mathematics 2004, Chalkis, Greece, September 10–14, 2004. Official conference of the European Society of Computational Methods in Science and Engineering (ESCMSE). Weinheim: Wiley-VCH (ISBN 3-527-40563-1/hbk). 46-48 (2004). MSC: 65N55 65N30 35J25 PDFBibTeX XMLCite \textit{S. Bertoluzza}, in: ICNAAM 2004. International conference on numerical analysis and applied mathematics 2004, Chalkis, Greece, September 10--14, 2004. Official conference of the European Society of Computational Methods in Science and Engineering (ESCMSE). Weinheim: Wiley-VCH. 46--48 (2004; Zbl 1060.65671)
Bertoluzza, Silvia; Piquemal, Anne-Sophie The wavelet Mortar method in the adaptative framework. (English) Zbl 1049.65142 C. R., Math., Acad. Sci. Paris 338, No. 8, 653-656 (2004). MSC: 65N55 65N30 35J05 65T60 65N12 PDFBibTeX XMLCite \textit{S. Bertoluzza} and \textit{A.-S. Piquemal}, C. R., Math., Acad. Sci. Paris 338, No. 8, 653--656 (2004; Zbl 1049.65142) Full Text: DOI
Bertoluzza, S.; Mazet, S.; Verani, M. A nonlinear Richardson algorithm for the solution of elliptic PDEs. (English) Zbl 1051.65112 Math. Models Methods Appl. Sci. 13, No. 2, 143-158 (2003). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65N35 65N50 65F10 65N12 35J65 65T60 PDFBibTeX XMLCite \textit{S. Bertoluzza} et al., Math. Models Methods Appl. Sci. 13, No. 2, 143--158 (2003; Zbl 1051.65112) Full Text: DOI
Bertoluzza, Silvia; Falletta, Silvia Building wavelets on \(]0,1[\) at large scales. (English) Zbl 1047.42023 J. Fourier Anal. Appl. 9, No. 3, 261-288 (2003). Reviewer: Gerlind Plonka (Duisburg) MSC: 42C40 65T60 PDFBibTeX XMLCite \textit{S. Bertoluzza} and \textit{S. Falletta}, J. Fourier Anal. Appl. 9, No. 3, 261--288 (2003; Zbl 1047.42023) Full Text: DOI
Bertoluzza, S.; Verani, M. Convergence of a nonlinear wavelet algorithm for the solution of PDEs. (English) Zbl 1020.65077 Appl. Math. Lett. 16, No. 1, 113-118 (2003). Reviewer: K.B.Schneider (Marseille) MSC: 65N12 65N30 65N15 65T60 35J65 PDFBibTeX XMLCite \textit{S. Bertoluzza} and \textit{M. Verani}, Appl. Math. Lett. 16, No. 1, 113--118 (2003; Zbl 1020.65077) Full Text: DOI
Bertoluzza, Silvia Substructuring techniques and wavelets for domain decomposition. (English) Zbl 1026.65116 Debit, N. (ed.) et al., Domain decomposition methods in science and engineering. Papers of the thirteenth international conference on domain decomposition methods, Lyon, France, October 9-12, 2000. Barcelona: International Center for Numerical Methods in Engineering (CIMNE). Theory Eng. Appl. Comput. Methods. 199-206 (2002). MSC: 65N55 65F10 65T60 65F35 35J05 65N30 PDFBibTeX XMLCite \textit{S. Bertoluzza}, in: Domain decomposition methods in science and engineering. XIII. Papers of the thirteenth international conference on domain decomposition methods, Lyon, France, October 9--12, 2000. Barcelona: International Center for Numerical Methods in Engineering (CIMNE). 199--206 (2002; Zbl 1026.65116)
Bertoluzza, Silvia; Falletta, Silvia; Perrier, Valérie Wavelet/FEM coupling by the mortar method. (English) Zbl 1007.65095 Pavarino, Luca F. (ed.) et al., Recent developments in domain decomposition methods. Some papers of the workshop on domain decomposition, ETH Zürich, Switzerland, June 7-8. 2001. Berlin: Springer. Lect. Notes Comput. Sci. Eng. 23, 119-132 (2002). MSC: 65N30 65N55 65T60 35J25 PDFBibTeX XMLCite \textit{S. Bertoluzza} et al., Lect. Notes Comput. Sci. Eng. 23, 119--132 (2002; Zbl 1007.65095)
Bertoluzza, Silvia; Perrier, Valérie The mortar method in the wavelet context. (English) Zbl 0995.65131 M2AN, Math. Model. Numer. Anal. 35, No. 4, 647-673 (2001). Reviewer: Michel Bernadou (Paris La Defense) MSC: 65N55 35J25 65N15 65N30 65T60 PDFBibTeX XMLCite \textit{S. Bertoluzza} and \textit{V. Perrier}, M2AN, Math. Model. Numer. Anal. 35, No. 4, 647--673 (2001; Zbl 0995.65131) Full Text: DOI Numdam EuDML
Bertoluzza, Silvia; Perrier, Valérie Coupling wavelets and finite elements by the Mortar method. (English. Abridged French version) Zbl 1006.65133 C. R. Acad. Sci., Paris, Sér. I, Math. 332, No. 9, 845-850 (2001). MSC: 65N30 35J25 65T60 PDFBibTeX XMLCite \textit{S. Bertoluzza} and \textit{V. Perrier}, C. R. Acad. Sci., Paris, Sér. I, Math. 332, No. 9, 845--850 (2001; Zbl 1006.65133) Full Text: DOI
Bertoluzza, Silvia; Pietra, Paola Space-frequency adaptive approximation for quantum hydrodynamic models. (English) Zbl 0971.76105 Transp. Theory Stat. Phys. 29, No. 3-5, 375-395 (2000). MSC: 76Y05 76M25 82D55 65T60 PDFBibTeX XMLCite \textit{S. Bertoluzza} and \textit{P. Pietra}, Transp. Theory Stat. Phys. 29, No. 3--5, 375--395 (2000; Zbl 0971.76105) Full Text: DOI
Bertoluzza, Silvia; Perrier, Valérie The mortar wavelet method. (English) Zbl 0971.65099 Neittaanmäki, Pekka (ed.) et al., ENUMATH 99. Numerical mathematics and advanced applications. Proceedings of the 3rd European conference, Jyväskylä, Finland, July 26-30, 1999. Singapore: World Scientific. 424-431 (2000). MSC: 65N30 65T60 65N55 65F10 65F35 65N15 35J05 PDFBibTeX XMLCite \textit{S. Bertoluzza} and \textit{V. Perrier}, in: ENUMATH 99. Numerical mathematics and advanced applications. Proceedings of the 3rd European conference, Jyväskylä, Finland, July 26--30, 1999. Singapore: World Scientific. 424--431 (2000; Zbl 0971.65099)
Bertoluzza, Silvia; Kunoth, Angela Wavelet stabilization and preconditioning for domain decomposition. (English) Zbl 0966.65076 IMA J. Numer. Anal. 20, No. 4, 533-559 (2000). Reviewer: Thomas Sonar (Braunschweig) MSC: 65N12 65T60 65N30 65N55 35J25 PDFBibTeX XMLCite \textit{S. Bertoluzza} and \textit{A. Kunoth}, IMA J. Numer. Anal. 20, No. 4, 533--559 (2000; Zbl 0966.65076) Full Text: DOI Link
Bertoluzza, S.; Canuto, C.; Tabacco, A. Negative norm stabilization of convection-diffusion problems. (English) Zbl 0966.76043 Appl. Math. Lett. 13, No. 4, 121-127 (2000). MSC: 76M10 76M25 76R99 PDFBibTeX XMLCite \textit{S. Bertoluzza} et al., Appl. Math. Lett. 13, No. 4, 121--127 (2000; Zbl 0966.76043) Full Text: DOI
Bertoluzza, Silvia; Canuto, Claudio; Tabacco, Anita Stable discretizations of convection-diffusion problems via computable negative-order inner products. (English) Zbl 0974.65104 SIAM J. Numer. Anal. 38, No. 3, 1034-1055 (2000). Reviewer: Emil Minchev (Sofia) MSC: 65N30 35J25 65N12 65T60 35B25 PDFBibTeX XMLCite \textit{S. Bertoluzza} et al., SIAM J. Numer. Anal. 38, No. 3, 1034--1055 (2000; Zbl 0974.65104) Full Text: DOI
Bertoluzza, Silvia Wavelet stabilization of the Lagrange multiplier method. (English) Zbl 0966.65075 Numer. Math. 86, No. 1, 1-28 (2000). Reviewer: Joseph Lakey (Las Cruces) MSC: 65N12 65N30 35J05 65T60 PDFBibTeX XMLCite \textit{S. Bertoluzza}, Numer. Math. 86, No. 1, 1--28 (2000; Zbl 0966.65075) Full Text: DOI
Bertoluzza, Silvia; Canuto, Claudio; Urban, Karsten On the adaptive computation of integrals of wavelets. (English) Zbl 0981.65134 Appl. Numer. Math. 34, No. 1, 13-38 (2000). MSC: 65N30 35J40 65N15 65T60 PDFBibTeX XMLCite \textit{S. Bertoluzza} et al., Appl. Numer. Math. 34, No. 1, 13--38 (2000; Zbl 0981.65134) Full Text: DOI
Bertoluzza, Silvia; Masson, Roland Velocity-pressure adaptive wavelet spaces satisfying the inf-sup condition. (Espaces “vitesse-pression” d’ondelettes adaptatives satisfaisant la condition inf-sup.) (French. Abridged English version) Zbl 0859.76049 C. R. Acad. Sci., Paris, Sér. I 323, No. 4, 407-412 (1996). MSC: 76M25 76D07 65Z05 PDFBibTeX XMLCite \textit{S. Bertoluzza} and \textit{R. Masson}, C. R. Acad. Sci., Paris, Sér. I 323, No. 4, 407--412 (1996; Zbl 0859.76049)
Bertoluzza, Silvia; Pietra, Paola Adaptive wavelet collocation for nonlinear BVPs. (English) Zbl 0853.65123 Berger, Marie-Odile (ed.) et al., ICAOS ’96. 12th international conference on analysis and optimization of systems, images, wavelets and PDE’s, Paris, France, June 26-28, 1996. Proceedings. Berlin: Springer. Lect. Notes Control Inf. Sci. 219, 168-174 (1996). MSC: 65N35 35Q60 35J65 78A55 PDFBibTeX XMLCite \textit{S. Bertoluzza} and \textit{P. Pietra}, Lect. Notes Control Inf. Sci. 219, 168--174 (1996; Zbl 0853.65123)
Bertoluzza, Silvia; Naldi, Giovanni; Ravel, Jean Christophe Wavelet methods for the numerical solution of boundary value problems on the interval. (English) Zbl 0845.65040 Chui, Charles K. (ed.) et al., Wavelets: theory, algorithms, and applications. Proceedings of the international conference on wavelets, held in Taormina, Italy, October 14-20, 1993. San Diego, CA: Academic Press. Wavelet Anal. Appl. 5, 425-448 (1994). MSC: 65L60 65L10 34B05 65L70 PDFBibTeX XMLCite \textit{S. Bertoluzza} et al., Wavelet Anal. Appl. 5, 425--448 (1994; Zbl 0845.65040)
Bertoluzza, S.; Naldi, G. Some remarks on wavelet interpolation. (English) Zbl 0804.42018 Comput. Appl. Math. 13, No. 1, 13-32 (1994). MSC: 42C40 41A05 65T99 PDFBibTeX XMLCite \textit{S. Bertoluzza} and \textit{G. Naldi}, Comput. Appl. Math. 13, No. 1, 13--32 (1994; Zbl 0804.42018)