{"id":22,"date":"2018-12-03T14:46:45","date_gmt":"2018-12-03T14:46:45","guid":{"rendered":"http:\/\/silicio.math.unifi.it\/wordpress\/bracco\/?page_id=22"},"modified":"2021-03-01T13:58:59","modified_gmt":"2021-03-01T13:58:59","slug":"research","status":"publish","type":"page","link":"https:\/\/silicio.math.unifi.it\/wordpress\/bracco\/research\/","title":{"rendered":"Research"},"content":{"rendered":"<h3><strong>List of publications<\/strong><\/h3>\n<h4>Journals<\/h4>\n<ol>\n<li>\n<p align=\"JUSTIFY\">C. Bracco, D. Cho, C. Giannelli, R. V\u00e0zquez, BPX preconditioners for isogeometric analysis using hierarchical splines, Comput. Methods Appl. Mech. Engrg., in press, 2021.<\/p>\n<\/li>\n<li>\n<p align=\"JUSTIFY\">D. Selegato, C. Bracco, C. Giannelli, G. Parigi, C. Luchinat, L. Sgheri, E. Ravera, Comparison of different rewighting approaches for the calculation of conformational variability of macromolecules from molecular simulations, ChemPhysChem 22, 127-138, 2021.<\/p>\n<\/li>\n<li>\n<p align=\"JUSTIFY\">C. Bracco, C. Giannelli, M. Kapl, R. Vazqu\u00e9z, Isogeometric analysis with C<sup>1<\/sup> hierarchical functions on planar two-patch geometries, <em>Comput. Math. Appl. 80<\/em>, 2358-2562, 2020.<\/p>\n<\/li>\n<li>\n<p align=\"JUSTIFY\">C. Bracco, O. Davydov, C. Giannelli, A. Sestini, Fault and gradient fault detection and reconstruction from scattered data,\u00a0 <em>Computer Aided Geom. D.\u00a0 75, 2019. <\/em><\/p>\n<\/li>\n<li>\n<p align=\"JUSTIFY\">C. Bracco, T. Lyche, C. Manni, H. Speleers, Tchebycheffian spline spaces over planar T-meshes: Dimension bounds and dimension instabilities, <em>J. Comp. Appl. Math.<\/em> 349, 265-278, 2019.<\/p>\n<\/li>\n<li>\n<p align=\"JUSTIFY\">C. Bracco, A. Buffa, C. Giannelli, R. V\u00e0zquez, Adaptive isogeometric methods with hierarchical splines: an overview, <em>Discret. Contin. Dyn. S.<\/em> 39 (2019), 241-262.<\/p>\n<\/li>\n<li>\n<p align=\"JUSTIFY\">C. Bracco, O. Davydov, C. Giannelli, A. Sestini, An application of numerical differentiation formulas to discontinuity curve detection from irregularly sampled data,\u00a0 <em>Rend. Semin. Mat. Univ. Politec. Torino 76 (2), 65-76, 2018. <\/em><\/p>\n<\/li>\n<li>\n<p align=\"JUSTIFY\">C. Bracco, C. Giannelli, R. V\u00e0zquez, Refinement algorithms for adaptive isogeometric methods with hierarchical splines, <em>Axioms<\/em> 7, 2018.<\/p>\n<\/li>\n<li>\n<p align=\"JUSTIFY\">C. Bracco, C. Giannelli, D. Grossmann, A.Sestini, Adaptive fitting with THB-splines: Error analysis and industrial applications, <em>Computer Aided Geom. D.<\/em> 62 (2018), 239-252.<\/p>\n<\/li>\n<li>\n<p align=\"JUSTIFY\">C. Bracco, C. Giannelli, A. Sestini, Adaptive scattered data fitting by extension of local approximations to hierarchical splines, <em>Computer Aided Geom. D.<\/em> 52-53 (2017), 90-106.<\/p>\n<\/li>\n<li>\n<p align=\"JUSTIFY\">C. Bracco, D. Cho, C. Dagnino, T. Kim, On the approximation power of generalized T-splines, <em><span lang=\"en-US\">J. Comp. <\/span>Appl. Math.<\/em> 311 (2017), 423-438.<\/p>\n<\/li>\n<li>\n<p align=\"JUSTIFY\"><span lang=\"en-US\">C. Bracco, C. Giannelli, F. Mazzia, A. Sestini,<\/span> Bivariate hierarchical Hermite spline quasi-interpolation, <em>BIT<\/em> 56 (2016), 1<span style=\"color: #131413\">165<\/span><span style=\"color: #131413\">\u20131188<\/span>.<\/p>\n<\/li>\n<li>\n<p align=\"JUSTIFY\"><span lang=\"en-US\">C. Bracco, T. Lyche, C. Manni, F. Roman, H. Speleers, <\/span>On the dimension of Tchebycheffian spline spaces over planar T-meshes, <em>Comput. Aided Geom. D.<\/em> 45 (2016), 151-173<span lang=\"en-US\">.<\/span><\/p>\n<\/li>\n<li>\n<p align=\"JUSTIFY\">C. Bracco, <span lang=\"en-US\">T. Lyche, C. Manni, F. Roman, H. Speleers, <\/span>Generalized spline spaces over T-meshes: Dimension formula and locally refined generalized B-splines, <em><span lang=\"en-US\">Appl. <\/span>Math. Comput.<\/em> 272 (2016), 187-198.<\/p>\n<\/li>\n<li><span lang=\"en-US\">C. Bracco, F. Roman, <\/span><span lang=\"en-US\">Spaces of generalized splines over T-meshes<\/span><span lang=\"en-US\">, <em>J. Comp. Appl. Math.<\/em> 294 (2016), 102-123.<\/span><\/li>\n<li>\n<p align=\"JUSTIFY\"><span lang=\"en-US\">D. Berdinsky, T. Kim, D. Cho, C. Bracco, S. Kiatpanichgij, <\/span><span lang=\"en-US\">Bases of T-meshes and the refinement of hierarchical B-splines<\/span><span lang=\"en-US\">, Comput. Methods Appl. Mech. Engrg. 283 (2015), 841-855.<\/span><\/p>\n<\/li>\n<li>\n<p align=\"JUSTIFY\"><span lang=\"en-US\">C. Bracco, D. Cho, <\/span><span lang=\"en-US\">Generalized T-splines and VMCR T-meshes<\/span><span lang=\"en-US\">, <em>Comput. Methods Appl. Mech. Engrg.<\/em> 280 (2014), 176-196.<\/span><\/p>\n<\/li>\n<li>\n<p align=\"JUSTIFY\"><span lang=\"en-US\">C.Bracco, D. Berdinsky, D. Cho, M. Oh, T. Kim, <\/span><span lang=\"en-US\"><i>T<\/i>rigonometric Generalized T-splines<\/span><span lang=\"en-US\">, <em>Comput. Methods Appl. Mech. Engrg.<\/em> 268 (2014), 540-556.<\/span><\/p>\n<\/li>\n<li>\n<p align=\"JUSTIFY\"><span lang=\"en-US\">D. Berdinsky, T. Kim, C. Bracco, D. Cho, M. Oh, Y. Seo, S. Kiatpanichgij, <\/span><span lang=\"en-US\">Iterative refinement of hierarchical T-meshes for bases of spline spaces with highest order smoothness<\/span><span lang=\"en-US\">, <em>Comput. Aided Design<\/em> 47 (2014), 96-107.<\/span><\/p>\n<\/li>\n<li>\n<p align=\"JUSTIFY\"><span lang=\"en-US\">D. Berdinsky, T. Kim, C. Bracco, D. Cho, B. Mourrain, M. Oh, S. Kiatpanichgij, <\/span><span lang=\"en-US\">Dimensions and bases of hierarchical tensor-product splines<\/span><span lang=\"en-US\">, <em>J. Comp. Appl. Math.<\/em> 257 (2014), 86-104.<\/span><\/p>\n<\/li>\n<li>\n<p align=\"JUSTIFY\"><span lang=\"en-US\">S. Hur, T. Kim, C. Bracco, <\/span><span lang=\"en-US\">Comprehensive study of intersection curves in R<\/span><sup><span lang=\"en-US\">4<\/span><\/sup><span lang=\"en-US\"> based on the system of ODEs<\/span><span lang=\"en-US\">, <em>J. Comp. Appl. Math.<\/em> 256 (2014), 121-130.<\/span><\/p>\n<\/li>\n<li>\n<p align=\"JUSTIFY\"><span lang=\"en-US\">G. Allasia, C. Bracco, <\/span><span lang=\"en-US\">Hermite-Birkhoff interpolation on arbitrarily distributed data in Banach spaces<\/span><span lang=\"en-US\">, <em>Numer. <\/em><\/span><em>Funct. Anal. Optim.<\/em> 34 (3) (2013), 237-254.<\/p>\n<\/li>\n<li>\n<p align=\"JUSTIFY\"><span lang=\"en-US\">G. Allasia, C. Bracco, <\/span><span lang=\"en-US\">Multivariate Hermite-Birkhoff interpolation by a class of cardinal basis functions<\/span><span lang=\"en-US\">, <em>Appl. <\/em><\/span><em>Math. Comput.<\/em> 218 (2012), 9248-9260.<\/p>\n<\/li>\n<li>\n<p align=\"JUSTIFY\"><span lang=\"en-US\">G. Allasia, C. Bracco, <\/span><span lang=\"en-US\">Two interpolation operators on irregularly distributed data in inner product spaces<\/span><span lang=\"en-US\">, <em>J. Comp. <\/em><\/span><em>Appl. Math.<\/em> 235 (2011), 1763-1774.<\/p>\n<\/li>\n<li>\n<p align=\"JUSTIFY\"><span lang=\"en-US\">G. Allasia, C. Bracco, <\/span><span lang=\"en-US\">Lagrange interpolation on arbitrarily distributed data in Banach spaces<\/span><span lang=\"en-US\">, <em>Numer. Funct. Anal. Optim. <\/em><\/span>32 (2) (2011), 111-125.<\/p>\n<\/li>\n<\/ol>\n<h4>Proceedings<\/h4>\n<ol>\n<li>\n<p align=\"JUSTIFY\">C. Bracco, C. Giannelli, D. Grossmann, S. Imperatore, D. Mokris, A. Sestini, THB-spline approximations for turbine blade design with local B-spline approximations, <em>special volume of Springer SEMA-SEMAI Seies granted to MACMAS 2019, in stampa, 2020. <\/em><\/p>\n<\/li>\n<li>\n<p align=\"JUSTIFY\">C. Bracco, C. Giannelli, A. Sestini, Adaptive scattered data fitting by extension of local approximations to hierarchical spline, in <em>Proceedings of 9th International Conference on Mathematical Methods for Curves and Surfaces<\/em>, Lecture Notes in Computer Science 10521, 23-41, 2017.<\/p>\n<\/li>\n<li>\n<p align=\"JUSTIFY\"><span lang=\"en-US\">C. Bracco, <\/span><span lang=\"en-US\">Lagrange interpolation on scattered data in Banach spaces by biorthonormal operators<\/span><span lang=\"en-US\">, in <em>MASCOT 10 &#8211; Grid Generation, Approximation and Visualization<\/em>, 209-218, 2011 .<\/span><\/p>\n<\/li>\n<li>\n<p align=\"JUSTIFY\"><span lang=\"en-US\">G. Allasia, C. Bracco, <\/span><span lang=\"en-US\">Lagrange interpolation in Banach spaces for normalized three-layers neural networks<\/span><span lang=\"en-US\">, in <em>Proceedings of the CMMSE 2010<\/em>, 48-56, 2010.<\/span><\/p>\n<\/li>\n<li>\n<p align=\"JUSTIFY\"><span lang=\"en-US\">G. Allasia, C. Bracco, <\/span><span lang=\"en-US\">Two interpolation formulas on irregularly distributed data<\/span><span lang=\"en-US\">, in <em>Proceedings of the CMMSE 2009<\/em>, 80-84, 2009.<\/span><\/p>\n<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>List of publications Journals C. Bracco, D. Cho, C. Giannelli, R. V\u00e0zquez, BPX preconditioners for isogeometric analysis using hierarchical splines, Comput. Methods Appl. Mech. Engrg., in press, 2021. D. Selegato, C. Bracco, C. Giannelli, G. Parigi, C. Luchinat, L. Sgheri, E. Ravera, Comparison of different rewighting approaches for the calculation of conformational variability of macromolecules [&hellip;]<\/p>\n","protected":false},"author":4,"featured_media":0,"parent":0,"menu_order":2,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-22","page","type-page","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v23.4 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Research - Cesare Bracco<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/silicio.math.unifi.it\/wordpress\/bracco\/research\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Research - Cesare Bracco\" \/>\n<meta property=\"og:description\" content=\"List of publications Journals C. 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Bracco, D. Cho, C. Giannelli, R. V\u00e0zquez, BPX preconditioners for isogeometric analysis using hierarchical splines, Comput. Methods Appl. Mech. Engrg., in press, 2021. D. Selegato, C. Bracco, C. Giannelli, G. Parigi, C. Luchinat, L. Sgheri, E. Ravera, Comparison of different rewighting approaches for the calculation of conformational variability of macromolecules [&hellip;]","og_url":"https:\/\/silicio.math.unifi.it\/wordpress\/bracco\/research\/","og_site_name":"Cesare Bracco","article_modified_time":"2021-03-01T13:58:59+00:00","twitter_card":"summary_large_image","twitter_misc":{"Est. reading time":"3 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/silicio.math.unifi.it\/wordpress\/bracco\/research\/","url":"https:\/\/silicio.math.unifi.it\/wordpress\/bracco\/research\/","name":"Research - Cesare Bracco","isPartOf":{"@id":"https:\/\/silicio.math.unifi.it\/wordpress\/bracco\/#website"},"datePublished":"2018-12-03T14:46:45+00:00","dateModified":"2021-03-01T13:58:59+00:00","breadcrumb":{"@id":"https:\/\/silicio.math.unifi.it\/wordpress\/bracco\/research\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/silicio.math.unifi.it\/wordpress\/bracco\/research\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/silicio.math.unifi.it\/wordpress\/bracco\/research\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/silicio.math.unifi.it\/wordpress\/bracco\/"},{"@type":"ListItem","position":2,"name":"Research"}]},{"@type":"WebSite","@id":"https:\/\/silicio.math.unifi.it\/wordpress\/bracco\/#website","url":"https:\/\/silicio.math.unifi.it\/wordpress\/bracco\/","name":"Cesare Bracco","description":"Assistant Professor  at University of Florence","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/silicio.math.unifi.it\/wordpress\/bracco\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"}]}},"_links":{"self":[{"href":"https:\/\/silicio.math.unifi.it\/wordpress\/bracco\/wp-json\/wp\/v2\/pages\/22"}],"collection":[{"href":"https:\/\/silicio.math.unifi.it\/wordpress\/bracco\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/silicio.math.unifi.it\/wordpress\/bracco\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/silicio.math.unifi.it\/wordpress\/bracco\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/silicio.math.unifi.it\/wordpress\/bracco\/wp-json\/wp\/v2\/comments?post=22"}],"version-history":[{"count":21,"href":"https:\/\/silicio.math.unifi.it\/wordpress\/bracco\/wp-json\/wp\/v2\/pages\/22\/revisions"}],"predecessor-version":[{"id":81,"href":"https:\/\/silicio.math.unifi.it\/wordpress\/bracco\/wp-json\/wp\/v2\/pages\/22\/revisions\/81"}],"wp:attachment":[{"href":"https:\/\/silicio.math.unifi.it\/wordpress\/bracco\/wp-json\/wp\/v2\/media?parent=22"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}