{"id":1927,"date":"2026-03-17T09:34:23","date_gmt":"2026-03-17T08:34:23","guid":{"rendered":"https:\/\/umi.dm.unibo.it\/jm-ita-bra-2026\/?page_id=1927"},"modified":"2026-05-21T09:47:09","modified_gmt":"2026-05-21T07:47:09","slug":"special-session-27","status":"publish","type":"page","link":"https:\/\/umi.dm.unibo.it\/jm-ita-bra-2026\/special-sessions\/special-session-27\/","title":{"rendered":"Special Session 27 &#8211; Machine Learning for Numerical Methods in PDEs"},"content":{"rendered":"<section  class='av_textblock_section av-mms7qkau-d2bee843739779d296e80822fec19f0d '   itemscope=\"itemscope\" itemtype=\"https:\/\/schema.org\/CreativeWork\" ><div class='avia_textblock'  itemprop=\"text\" ><h1><span style=\"color: #000000;\">Special Session 27<\/span><\/h1>\n<h2><span style=\"color: #000000;\">Machine Learning for Numerical Methods in PDEs<\/span><\/h2>\n<p><span style=\"color: #000000;\"><strong>Organizers:<\/strong><\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">Alessandro Alla (University of Rome &#8220;La Sapienza&#8221;, Italy),<\/span><\/li>\n<li><span style=\"color: #000000;\">Alvaro Coutinho (Federal University of Rio de Janeiro, Brazil),<\/span><\/li>\n<li><span style=\"color: #000000;\">Sandra Pieraccini (Polytechnic University of Turin, Italy)<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\"><strong>MSC codes:<\/strong> 65M-XX, 68T07<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>Description:<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">In recent years, machine learning (ML) has emerged as a powerful tool for enhancing and accelerating numerical methods for partial differential equations (PDEs). Data-driven approaches are being increasingly integrated with classical numerical analysis to improve accuracy, efficiency, and generalization across complex systems. This special session aims to bring together researchers working at the interface between ML and scientific computing to discuss advances in surrogate modeling, operator learning, neural PDE solvers, and hybrid physics-informed methods. The session welcomes contributions that explore novel architectures, theoretical insights, and practical applications of MLenhanced solvers for PDEs in engineering, physics, and applied mathematics. Topics of interest include, but are not limited to, physics-informed neural networks, reduced-order modeling, data assimilation, uncertainty quantification, and adaptive discretization guided by learning algorithms. By fostering dialogue between experts in numerical analysis and machine learning, this session seeks to promote new ideas and collaborations toward the next generation of computational methods for PDEs.<\/span><\/p>\n<p><strong>Speakers:<\/strong><\/p>\n<ul>\n<li><span style=\"color: #000000;\">Maria Teresa Bruni, National Research Council (Italy)<\/span><\/li>\n<li><span style=\"color: #000000;\">Alvaro Coutinho, Federal University of Rio de Janeiro (Brazil)<\/span><\/li>\n<li><span style=\"color: #000000;\">Nunzio Dimola, Polytechnic University of Milan (Italy)<\/span><\/li>\n<li><span style=\"color: #000000;\">Dante Kalise, Imperial College London (United Kingdom)<\/span><\/li>\n<li><span style=\"color: #000000;\">Samira Iscaro, University of Salerno (Italy)<\/span><\/li>\n<li><span style=\"color: #000000;\">Angela Monti, National Research Council (Italy)<\/span><\/li>\n<li><span style=\"color: #000000;\">Alessio Scioscioli, University of Salento (Italy)<\/span><\/li>\n<li><span style=\"color: #000000;\">Gioana Teora, Politecnico di Torino (Italy)<\/span><\/li>\n<li><span style=\"color: #000000;\">Alexander Viguerie, University of Urbino (Italy)<\/span><\/li>\n<\/ul>\n<\/div><\/section>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":6,"featured_media":0,"parent":210,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-1927","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/umi.dm.unibo.it\/jm-ita-bra-2026\/wp-json\/wp\/v2\/pages\/1927","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/umi.dm.unibo.it\/jm-ita-bra-2026\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/umi.dm.unibo.it\/jm-ita-bra-2026\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/umi.dm.unibo.it\/jm-ita-bra-2026\/wp-json\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"https:\/\/umi.dm.unibo.it\/jm-ita-bra-2026\/wp-json\/wp\/v2\/comments?post=1927"}],"version-history":[{"count":5,"href":"https:\/\/umi.dm.unibo.it\/jm-ita-bra-2026\/wp-json\/wp\/v2\/pages\/1927\/revisions"}],"predecessor-version":[{"id":2363,"href":"https:\/\/umi.dm.unibo.it\/jm-ita-bra-2026\/wp-json\/wp\/v2\/pages\/1927\/revisions\/2363"}],"up":[{"embeddable":true,"href":"https:\/\/umi.dm.unibo.it\/jm-ita-bra-2026\/wp-json\/wp\/v2\/pages\/210"}],"wp:attachment":[{"href":"https:\/\/umi.dm.unibo.it\/jm-ita-bra-2026\/wp-json\/wp\/v2\/media?parent=1927"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}