{"id":4831,"date":"2024-12-19T05:56:42","date_gmt":"2024-12-19T05:56:42","guid":{"rendered":"https:\/\/science.sjp.ac.lk\/mat\/?page_id=4831"},"modified":"2024-12-19T05:57:11","modified_gmt":"2024-12-19T05:57:11","slug":"amt-451-3-0-advanced-numerical-techniques","status":"publish","type":"page","link":"https:\/\/science.sjp.ac.lk\/mat\/amt-451-3-0-advanced-numerical-techniques\/","title":{"rendered":"AMT 451 3.0 Advanced Numerical Techniques"},"content":{"rendered":"<section class=\"wpb-content-wrapper\"><p>[vc_row][vc_column][vc_column_text]<\/p>\n<p><strong>Course:\u00a0<\/strong>AMT 451 3.0 Advanced Numerical Techniques\u00a0<strong>(Compulsory)<\/strong><\/p>\n\n<p><strong>Course content:<\/strong><\/p>\n\n<p style=\"text-align: justify;\">Brief overview of partial differential equations; Consistency, Stability and Convergence analysis of a numerical scheme. Finite difference methods for parabolic equations; Finite difference methods for hyperbolic equations; Finite difference methods for elliptic equations; Basic theory of finite element methods; Weak formulation of Elliptic Boundary Value Problems. Finite Element Spaces. Finite element methods: Programming.<\/p>\n\n<p><strong>Recommended Readings:<\/strong><\/p>\n\n\n<ol type=\"1\">\n<li style=\"list-style-type: none;\">\n<ol type=\"1\"><\/p>\n<li>Chen,Y.T., &amp; Li,J. (2008). <em>Computational Partial Differential Equations using MATLAB. <\/em>Chapman &amp; Hall\/CRC Applied Mathematics and Nonlinear Science Series.<\/li>\n\n\n<li>Johnson,C. (1987). <em>Numerical solutions of partial differential equations by finite element method. <\/em>Cambridge Unity Pressivers.<\/li>\n\n\n<li>Seshu,P. (2012). <em>Textbook of Finite Element Analysis. <\/em>PHI Learning Private Limited.<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n\n\n<p>&nbsp;<\/p>\n<p>[\/vc_column_text][\/vc_column][\/vc_row]<\/p>\n<\/section>","protected":false},"excerpt":{"rendered":"<p>[vc_row][vc_column][vc_column_text] Course:\u00a0AMT 451 3.0 Advanced Numerical Techniques\u00a0(Compulsory) Course content: Brief overview of partial differential equations; Consistency, Stability and Convergence analysis of a numerical scheme. Finite difference methods for parabolic equations; Finite difference methods for hyperbolic equations; Finite difference methods for elliptic equations; Basic theory of finite element methods; Weak formulation of Elliptic Boundary Value Problems. &hellip; <a href=\"https:\/\/science.sjp.ac.lk\/mat\/amt-451-3-0-advanced-numerical-techniques\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">AMT 451 3.0 Advanced Numerical Techniques<\/span><\/a><\/p>\n","protected":false},"author":33,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_ti_tpc_template_sync":false,"_ti_tpc_template_id":"","footnotes":""},"_links":{"self":[{"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages\/4831"}],"collection":[{"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/users\/33"}],"replies":[{"embeddable":true,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/comments?post=4831"}],"version-history":[{"count":2,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages\/4831\/revisions"}],"predecessor-version":[{"id":4834,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages\/4831\/revisions\/4834"}],"wp:attachment":[{"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/media?parent=4831"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}