{"id":416,"date":"2016-07-14T13:07:29","date_gmt":"2016-07-14T04:07:29","guid":{"rendered":"http:\/\/hyke.snu.ac.kr\/?p=416"},"modified":"2016-07-14T13:11:07","modified_gmt":"2016-07-14T04:11:07","slug":"416","status":"publish","type":"post","link":"http:\/\/hyke.snu.ac.kr\/?p=416","title":{"rendered":"[Invited talk]Uncertainty quantification for kinetic equations"},"content":{"rendered":"<p>There will be an invited talk<\/p>\n<p><span style=\"font-size: 10pt;\">Title: <strong>Uncertainty quantification for kinetic equations<\/strong><\/span><br \/>\n<span style=\"font-size: 10pt;\"> Speaker: <strong>Shi Jin<\/strong> (University of Wisconsin-Madison, USA and Shanghai Jiao Tong University, China)<\/span><br \/>\n<span style=\"font-size: 10pt;\"> Time: <strong>2016 July 25th 14:00 &#8211; 15:00<\/strong><\/span><br \/>\n<span style=\"font-size: 10pt;\"> Place: <strong>129-406<\/strong><\/span><br \/>\n<span style=\"font-size: 10pt;\"> Abstract:<\/span><br \/>\n<span style=\"font-size: 10pt;\"> Kinetic equations have uncertain inputs, such as the scattering kernels, initial or boundary data.<br \/>\nIn this talk we will study the generalized polynomial chaos (gPC) approach to\u00a0such kinetic equations with multiple time or space scales, <\/span><span style=\"font-size: 10pt;\">and\u00a0show that they can be made asymptotic-preserving, in the sense\u00a0that the gPC scheme preserves various asymptotic limits in the discrete space.<br \/>\nThis allows the implemention of the gPC methods for these problems without numerically resolving (by space,\u00a0time, and gPC modes) the small scales. We also give a fast gPC algorithm for\u00a0the Boltzmann equation\u00a0with uncertainties in its collision kernel, initial or boundary data.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>There will be an invited talk Title: Uncertainty quantification for kinetic equations Speaker: Shi Jin (University of Wisconsin-Madison, USA and Shanghai Jiao Tong University, China) Time: 2016 July 25th 14:00 &#8211; 15:00 Place: 129-406 Abstract: Kinetic equations have uncertain inputs, such as the scattering kernels, initial or boundary data. In this talk we will study [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[],"_links":{"self":[{"href":"http:\/\/hyke.snu.ac.kr\/index.php?rest_route=\/wp\/v2\/posts\/416"}],"collection":[{"href":"http:\/\/hyke.snu.ac.kr\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/hyke.snu.ac.kr\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/hyke.snu.ac.kr\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/hyke.snu.ac.kr\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=416"}],"version-history":[{"count":3,"href":"http:\/\/hyke.snu.ac.kr\/index.php?rest_route=\/wp\/v2\/posts\/416\/revisions"}],"predecessor-version":[{"id":419,"href":"http:\/\/hyke.snu.ac.kr\/index.php?rest_route=\/wp\/v2\/posts\/416\/revisions\/419"}],"wp:attachment":[{"href":"http:\/\/hyke.snu.ac.kr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=416"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/hyke.snu.ac.kr\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=416"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/hyke.snu.ac.kr\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=416"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}