{"id":123267,"date":"2015-09-10T02:00:00","date_gmt":"2015-09-09T23:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=2df27d13f29f27486b5912d176e655d7"},"modified":"2015-09-10T02:00:00","modified_gmt":"2015-09-09T23:00:00","slug":"introduction-to-direct-variational-and-moment-methods-and-an-application-to-the-child-langmuir-law","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=123267","title":{"rendered":"Introduction to direct variational and moment methods and an application to the Child\u2013Langmuir law"},"content":{"rendered":"<p>A short introduction is given of direct variational methods and its relation to Galerkin and moment<br \/>\nmethods, all flexible and powerful approaches for finding approximate solutions of difficult<br \/>\nphysical equations. A pedagogical application of moment methods is given to the physically and<br \/>\ntechnically important Child\u2013Langmuir law in electron physics. The analysis is shown to provide<br \/>\nsimple, yet accurate, approximate solutions of the two-dimensional problem (a problem which does not<br \/>\nallow an exact analytical solution) and illustrates the usefulness and the power of moment methods.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A short introduction is given of direct variational methods and its relation to Galerkin and moment<br \/>\nmethods, all flexible and powerful approaches for finding approximate solutions of difficult<br \/>\nphysical equations. A pedagogical application of moment m&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"categories":[178],"tags":[],"class_list":{"0":"post-123267","1":"post","2":"type-post","3":"status-publish","4":"format-standard","6":"category-rss-fuusikaharidus","7":"entry"},"_links":{"self":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/123267","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=123267"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/123267\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=123267"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=123267"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=123267"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}