{"id":203,"date":"2012-09-23T22:09:39","date_gmt":"2012-09-24T02:09:39","guid":{"rendered":"https:\/\/www.bu.edu\/pasi-tsunami\/?page_id=203"},"modified":"2012-12-01T12:43:22","modified_gmt":"2012-12-01T17:43:22","slug":"finite-volume-solutions","status":"publish","type":"page","link":"https:\/\/www.bu.edu\/pasi-tsunami\/program\/finite-volume-solutions\/","title":{"rendered":"Finite-volume solutions"},"content":{"rendered":"<h2>to hyperbolic PDEs<\/h2>\n<h3>by\u00a0<a title=\"Donna Calhoun\" href=\"https:\/\/www.bu.edu\/pasi-tsunami\/people\/donna-calhoun\/\">Dr Donna Calhoun<\/a> and\u00a0<a href=\"https:\/\/www.bu.edu\/pasi-tsunami\/people\/david-george\/\" title=\"David George\">Dr David George<\/a><\/h3>\n<address>Department of Mathematics, Boise State University (Calhoun) &amp;\u00a0U.S. Geological Survey (George)<\/address>\n<h3>Syllabus<\/h3>\n<p>(1) General principles of solving one-dimensional linear and quasi-linear hyperbolic systems using finite volume methods<\/p>\n<ul>\n<li>Particular focus will be given to the wave propagation algorithms (R. J. LeVeque) and the discussion of second order corrections and limiters.<\/li>\n<\/ul>\n<p>(2) Extensions of the wave propagation algorithm to shallow water equations using Roe-linearization<\/p>\n<ul>\n<li>Extensions to two-dimensional problems.<\/li>\n<\/ul>\n<p>(3) Principles of patch-based adaptive mesh refinement (AMR)<\/p>\n<p>(4) Introduction to GeoClaw<\/p>\n","protected":false},"excerpt":{"rendered":"<p>to hyperbolic PDEs by\u00a0Dr Donna Calhoun and\u00a0Dr David George Department of Mathematics, Boise State University (Calhoun) &amp;\u00a0U.S. Geological Survey (George) Syllabus (1) General principles of solving one-dimensional linear and quasi-linear hyperbolic systems using finite volume methods Particular focus will be given to the wave propagation algorithms (R. J. LeVeque) and the discussion of second order [&hellip;]<\/p>\n","protected":false},"author":6513,"featured_media":0,"parent":188,"menu_order":2,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"_links":{"self":[{"href":"https:\/\/www.bu.edu\/pasi-tsunami\/wp-json\/wp\/v2\/pages\/203"}],"collection":[{"href":"https:\/\/www.bu.edu\/pasi-tsunami\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.bu.edu\/pasi-tsunami\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.bu.edu\/pasi-tsunami\/wp-json\/wp\/v2\/users\/6513"}],"replies":[{"embeddable":true,"href":"https:\/\/www.bu.edu\/pasi-tsunami\/wp-json\/wp\/v2\/comments?post=203"}],"version-history":[{"count":6,"href":"https:\/\/www.bu.edu\/pasi-tsunami\/wp-json\/wp\/v2\/pages\/203\/revisions"}],"predecessor-version":[{"id":731,"href":"https:\/\/www.bu.edu\/pasi-tsunami\/wp-json\/wp\/v2\/pages\/203\/revisions\/731"}],"up":[{"embeddable":true,"href":"https:\/\/www.bu.edu\/pasi-tsunami\/wp-json\/wp\/v2\/pages\/188"}],"wp:attachment":[{"href":"https:\/\/www.bu.edu\/pasi-tsunami\/wp-json\/wp\/v2\/media?parent=203"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}