{"id":521,"date":"2014-05-15T15:18:36","date_gmt":"2014-05-15T15:18:36","guid":{"rendered":"http:\/\/astro.uni-frankfurt.de\/rezzolla\/?page_id=521"},"modified":"2020-05-12T10:45:38","modified_gmt":"2020-05-12T10:45:38","slug":"lecture-notes","status":"publish","type":"page","link":"https:\/\/astro.uni-frankfurt.de\/rezzolla\/teaching\/lecture-notes\/","title":{"rendered":"Lecture notes"},"content":{"rendered":"<p><span style=\"font-size: 12pt;\">Below you will find some lecture notes I&#8217;ve compiled over the years although nowadays the notes can be found on the website of the various schools.<\/span><\/p>\n<h2><span style=\"font-size: 14pt;\"><strong>Lectures on gravity at Schools (chronological order, till 2011)<\/strong><\/span><\/h2>\n<ul>\n<li><span style=\"font-size: 12pt;\">\u00a0Introduction to General Relativity: GW-Astronomy IMPRS School (Erkner, 2011; <a href=\"http:\/\/itp.uni-frankfurt.de\/~rezzolla\/lecture_notes\/2011\/Intro_GR_1011.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">pdf<\/a><a>) <\/a><\/span><\/li>\n<li><span style=\"font-size: 12pt;\">\u00a0Introduction to Numerical Relativity: GW-Astronomy IMPRS School (Erkner, 2010; <a href=\"http:\/\/itp.uni-frankfurt.de\/~rezzolla\/lecture_notes\/2010\/Intro_NR_0310.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">pdf<\/a>)<\/span><\/li>\n<li><span style=\"font-size: 12pt;\">\u00a0Introduction to Relativistic Hydrodynamics: NewCompStar Winter School (Caen, 2010; <a href=\"http:\/\/itp.uni-frankfurt.de\/~rezzolla\/lecture_notes\/2010\/relativistic_hydrodynamics_0210.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">pdf<\/a>)<\/span><\/li>\n<li><span style=\"font-size: 12pt;\">\u00a0Introduction to Numerical Relativity: ECT* PhD Training School (Trento, 2007; <a href=\"http:\/\/itp.uni-frankfurt.de\/~rezzolla\/lecture_notes\/2007\/ECT_hyperbolic_PDEs_0807.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">pdf<\/a>)<\/span><\/li>\n<li><span style=\"font-size: 12pt;\">\u00a0Gravitational waves from periodic sources: INFN School (Frascati, 2004; <a href=\"http:\/\/itp.uni-frankfurt.de\/~rezzolla\/lecture_notes\/2004\/Frascati_periodic_sources_0904.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">pdf<\/a>)<\/span><\/li>\n<li><span style=\"font-size: 12pt;\">\u00a0Gravitational collapse to black holes: INFN School (Frascati, 2004; <a href=\"http:\/\/itp.uni-frankfurt.de\/~rezzolla\/lecture_notes\/2004\/Frascati_collapse_0904.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">pdf<\/a>)<br \/>\n<\/span><\/li>\n<li><span style=\"font-size: 12pt;\">\u00a0Geodesic Deviation and Weak-Field Solutions: Virgo School (Cascina, 2004; <a href=\"http:\/\/itp.uni-frankfurt.de\/~rezzolla\/lecture_notes\/2004\/Cascina_geodev_0504.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">pdf<\/a>)<br \/>\n<\/span><\/li>\n<li><span style=\"font-size: 12pt;\">\u00a0GWs from perturbed black holes and neutron stars: ICTP Astroparticle School (Trieste, 2002; <a href=\"http:\/\/itp.uni-frankfurt.de\/~rezzolla\/lecture_notes\/2002\/Trieste_astroparticle_0702.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">pdf<\/a>); <a href=\"https:\/\/arxiv.org\/abs\/gr-qc\/0302025\">gr-qc:0302025<\/a><\/span><\/li>\n<\/ul>\n<h2><span style=\"font-size: 12pt;\">\u00a0<span style=\"font-size: 14pt;\"><strong>Lectures and Tutorials on numerical methods<\/strong><\/span><\/span><\/h2>\n<ul>\n<li><span style=\"font-size: 12pt;\">Introduction to Finite-Difference Methods: NewCompStar Winter School (Caen, 2010; <a href=\"http:\/\/itp.uni-frankfurt.de\/~rezzolla\/lecture_notes\/2010\/Caen_FD_0210.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">pdf<\/a>)<\/span><\/li>\n<li><span style=\"font-size: 12pt;\">Finite-Difference Methods for the Solution of Hyperbolic and Parabolic PDEs (<a href=\"http:\/\/itp.uni-frankfurt.de\/~rezzolla\/lecture_notes\/2010\/fd_evolution_pdes_lnotes.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">pdf<\/a>)<\/span><\/li>\n<li><span style=\"font-size: 12pt;\">Finite-Volume Methods for the Solution of Hyperbolic \u00a0PDEs (<a href=\"http:\/\/itp.uni-frankfurt.de\/~rezzolla\/lecture_notes\/2010\/fv_evolution_pdes_lnotes.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">pdf<\/a>)<\/span><\/li>\n<\/ul>\n<h2><strong><span style=\"font-size: 12pt;\">\u00a0<span style=\"font-size: 14pt;\">Codes on numerical methods<\/span><\/span><\/strong><\/h2>\n<ul>\n<li><span style=\"font-size: 12pt;\">An exact Riemann solver for relativistic MHD (<a href=\"http:\/\/adsabs.harvard.edu\/abs\/2006JFM...562..223G\" target=\"_blank\" rel=\"noopener noreferrer\">Giacomazzo and Rezzolla, 2006<\/a>) (<a href=\"http:\/\/itp.uni-frankfurt.de\/~rezzolla\/codes\/rmhd_riemann_solver.tgz\" target=\"_blank\" rel=\"noopener noreferrer\">tarball<\/a>)<\/span><\/li>\n<li><span style=\"font-size: 12pt;\">A tutorial Fortran90 code for the solution of hyperbolic PDEs using finite-difference methods (<a title=\"A Fortran90 primer for the solution of hyperbolic equations\" href=\"http:\/\/itp.uni-frankfurt.de\/~rezzolla\/codes\/FD_1D_hyperbolic_PDEs.tgz\">tarball<\/a>).<br \/>\n<\/span><\/li>\n<li><span style=\"font-size: 12pt;\">A tutorial Fortran90 code for the solution of the hydrodynamic equations using finite-volume methods; includes an exact Riemann solver for relativistic HD (<a title=\"finite volume\" href=\"http:\/\/itp.uni-frankfurt.de\/~rezzolla\/codes\/finite_volume.tgz\" target=\"_blank\" rel=\"noopener noreferrer\">tarball<\/a>).<br \/>\n<\/span><\/li>\n<\/ul>\n<h2><span style=\"font-size: 14pt;\"><strong>Public Outreach<\/strong><\/span><\/h2>\n<ul>\n<li><span style=\"font-size: 12pt;\">\u00a0A popular introduction to Einstein&#8217;s relativity \u00a0(Frankfurt, Night of Science, 2015, <a href=\"http:\/\/itp.uni-frankfurt.de\/~rezzolla\/PO\/Frankfurt_eswirdspaet_0615.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">pdf<\/a>)<\/span><span style=\"font-size: 12pt; letter-spacing: 0px;\">\u00a0<\/span><\/li>\n<li><span style=\"font-size: 12pt;\">\u00a0A popular introduction to Einstein&#8217;s relativity \u00a0(Trento, ECT*-25 anniversary, 2018, Italian! <a href=\"http:\/\/itp.uni-frankfurt.de\/~rezzolla\/PO\/Trento_public_0918.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">pdf<\/a>)<\/span><span style=\"font-size: 12pt; letter-spacing: 0px;\">\u00a0<\/span><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Below you will find some lecture notes I&#8217;ve compiled over the years although nowadays the notes can be found on the website of the various schools. Lectures on gravity at Schools (chronological order, till 2011) \u00a0Introduction to General Relativity: GW-Astronomy IMPRS School (Erkner, 2011; pdf) \u00a0Introduction to Numerical Relativity: GW-Astronomy IMPRS School (Erkner, 2010; pdf) <a class=\"read-more\" href=\"https:\/\/astro.uni-frankfurt.de\/rezzolla\/teaching\/lecture-notes\/\">READ MORE<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"parent":99,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"jetpack_post_was_ever_published":false,"footnotes":""},"class_list":["post-521","page","type-page","status-publish","hentry"],"jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/P65h2i-8p","jetpack-related-posts":[],"_links":{"self":[{"href":"https:\/\/astro.uni-frankfurt.de\/rezzolla\/wp-json\/wp\/v2\/pages\/521","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/astro.uni-frankfurt.de\/rezzolla\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/astro.uni-frankfurt.de\/rezzolla\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/astro.uni-frankfurt.de\/rezzolla\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/astro.uni-frankfurt.de\/rezzolla\/wp-json\/wp\/v2\/comments?post=521"}],"version-history":[{"count":22,"href":"https:\/\/astro.uni-frankfurt.de\/rezzolla\/wp-json\/wp\/v2\/pages\/521\/revisions"}],"predecessor-version":[{"id":1372,"href":"https:\/\/astro.uni-frankfurt.de\/rezzolla\/wp-json\/wp\/v2\/pages\/521\/revisions\/1372"}],"up":[{"embeddable":true,"href":"https:\/\/astro.uni-frankfurt.de\/rezzolla\/wp-json\/wp\/v2\/pages\/99"}],"wp:attachment":[{"href":"https:\/\/astro.uni-frankfurt.de\/rezzolla\/wp-json\/wp\/v2\/media?parent=521"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}