{"id":710,"date":"2017-11-12T15:15:21","date_gmt":"2017-11-12T15:15:21","guid":{"rendered":"https:\/\/science.sjp.ac.lk\/mat\/?page_id=710"},"modified":"2024-12-19T05:06:40","modified_gmt":"2024-12-19T05:06:40","slug":"mathematical-computing","status":"publish","type":"page","link":"https:\/\/science.sjp.ac.lk\/mat\/mathematical-computing\/","title":{"rendered":"Mathematical Computing"},"content":{"rendered":"<section class=\"wpb-content-wrapper\"><p>[vc_row][vc_column][vc_column_text]<\/p>\n<p><strong>Course:\u00a0AMT 221 2.0 Mathematical Computing<\/strong>\u00a0<strong>(Compulsory)<\/strong><\/p>\n\n<p><strong>Course content:<\/strong><\/p>\n\n<p style=\"text-align: justify;\">Revisiting iterative methods and convergence analysis; Improved Newton&#8217;s method and other variants of Newton&#8217;s method; Fixed-point method; Solving systems of non-linear equations; Revisiting polynomial interpolation; Concept of Splines; Cubic Splines (Natural, Clamped and others); Gauss-Jacobi method; Gauss-Seidel method; SOR method; Comparison of iterative methods; Gershgorin Circle Theorem; Power method and its variants; QR method; Existence and uniqueness of solutions for ODEs; Euler&#8217;s method; Runge-Kutta methods; Least squares approximation; Chebyshev polynomials; Rational function approximation<\/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>Fink, K.D. &amp; Mathews, J.H.(2004). <em>Numerical Methods using MATLAB <\/em>(6<sup>th<\/sup> ed).Prentice-Hall Inc.<\/li>\n\n\n<li>Burden, R.L. &amp; Faires J.D. (2005). <em>Numerical Analysis <\/em>(8<sup>th<\/sup> ed)<em>.<\/em> Thomson Brooks\/Cole.<\/li>\n\n\n<li>Atkinson, K.E. (1989). <em>An Introduction to Numerical Analysis<\/em> (8<sup>th<\/sup> ed). John Wiley &amp; Sons, Inc.\u00a0<\/li>\n<\/ol>\n<\/li>\n<\/ol>\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 221 2.0 Mathematical Computing\u00a0(Compulsory) Course content: Revisiting iterative methods and convergence analysis; Improved Newton&#8217;s method and other variants of Newton&#8217;s method; Fixed-point method; Solving systems of non-linear equations; Revisiting polynomial interpolation; Concept of Splines; Cubic Splines (Natural, Clamped and others); Gauss-Jacobi method; Gauss-Seidel method; SOR method; Comparison of iterative methods; Gershgorin Circle Theorem; &hellip; <a href=\"https:\/\/science.sjp.ac.lk\/mat\/mathematical-computing\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Mathematical Computing<\/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\/710"}],"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=710"}],"version-history":[{"count":3,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages\/710\/revisions"}],"predecessor-version":[{"id":4754,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages\/710\/revisions\/4754"}],"wp:attachment":[{"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/media?parent=710"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}