{"id":7992,"date":"2023-02-13T14:01:48","date_gmt":"2023-02-13T13:01:48","guid":{"rendered":"https:\/\/www.dm.unipi.it\/eventi\/applications-of-aaa-rational-approximation-lloyd-n-trefethen-mathematical-institute-university-of-oxford\/"},"modified":"2023-02-20T23:49:42","modified_gmt":"2023-02-20T22:49:42","slug":"applications-of-aaa-rational-approximation-lloyd-n-trefethen-mathematical-institute-university-of-oxford","status":"publish","type":"unipievents","link":"https:\/\/www.dm.unipi.it\/en\/eventi\/applications-of-aaa-rational-approximation-lloyd-n-trefethen-mathematical-institute-university-of-oxford\/","title":{"rendered":"Applications of AAA Rational Approximation &#8211; Lloyd N. Trefethen (Mathematical Institute, University of Oxford)"},"content":{"rendered":"<h4>Venue<\/h4>\n<p>Scuola Normale Superiore, Aula Volterra.<\/p>\n<h4 class='mt-4'>Abstract<\/h4>\n<div>For the first time, a method has recently become available for fast computation of near-best rational approximations on arbitrary sets in the real line or complex plane: the AAA algorithm (Nakatsukasa-Sete-T. 2018). We will present the algorithm and then demonstrate a number of applications, including<\/div>\n<ul>\n<li>detection of singularities,<\/li>\n<li>&nbsp;model order reduction,<\/li>\n<li>&nbsp;analytic continuation,<\/li>\n<li>&nbsp;functions of matrices,<\/li>\n<li>&nbsp;nonlinear eigenvalue problems,<\/li>\n<li>&nbsp;interpolation of equispaced data,<\/li>\n<li>&nbsp;smooth extension of multivariate real functions,<\/li>\n<li>&nbsp;extrapolation of ODE and PDE solutions into the complex plane,<\/li>\n<li>&nbsp;solution of Laplace problems,<\/li>\n<li>&nbsp;conformal mapping,<\/li>\n<li>&nbsp;Wiener-Hopf factorization.<\/li>\n<\/ul>\n<p class='mt-4'>Further information is available on the <a href=\"https:\/\/events.dm.unipi.it\/event\/158\/\">event page<\/a> on the Indico platform.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>For the first time, a method has recently become available for fast computation of near-best rational approximations on arbitrary sets in the real line or complex plane: the AAA algorithm (Nakatsukasa-Sete-T. 2018). We will present the algorithm and&hellip;<\/p>\n<p><a class=\"btn btn-dark btn-sm unipi-read-more-link\" href=\"https:\/\/www.dm.unipi.it\/en\/eventi\/applications-of-aaa-rational-approximation-lloyd-n-trefethen-mathematical-institute-university-of-oxford\/\">Read More&#8230;<\/a><\/p>\n","protected":false},"author":6,"featured_media":0,"template":"","tags":[],"unipievents_taxonomy":[],"class_list":["post-7992","unipievents","type-unipievents","status-publish","hentry"],"acf":[],"unipievents_startdate":1676977200,"unipievents_enddate":1676980800,"unipievents_place":"Scuola Normale Superiore, Aula Volterra.","unipievents_externalid":158,"jetpack_sharing_enabled":true,"publishpress_future_workflow_manual_trigger":{"enabledWorkflows":[]},"_links":{"self":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/7992","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents"}],"about":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/types\/unipievents"}],"author":[{"embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/users\/6"}],"version-history":[{"count":1,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/7992\/revisions"}],"predecessor-version":[{"id":8148,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/7992\/revisions\/8148"}],"wp:attachment":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/media?parent=7992"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/tags?post=7992"},{"taxonomy":"unipievents_taxonomy","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents_taxonomy?post=7992"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}