{"id":423,"date":"2014-06-09T09:48:07","date_gmt":"2014-06-09T06:48:07","guid":{"rendered":"http:\/\/www.sjut.org\/math\/?p=423"},"modified":"2014-06-09T09:48:07","modified_gmt":"2014-06-09T06:48:07","slug":"mat210-l18-splines-p","status":"publish","type":"post","link":"http:\/\/www.sjut.org\/math\/index.php\/mat210-l18-splines-p\/","title":{"rendered":"MAT210 Lesson 18: Splines I"},"content":{"rendered":"<div class=\"post-content\">\n<div class=\"entry-content\">\n<p>For some functions, a single polynomial is not a good fit, especially if there are different shapes in different regions. An alternative approach is to use <em>piecewise polynomial interpolation<\/em> , also known a <em><strong>splines<\/strong><\/em>.<\/p>\n<p><a title=\"MAT210 L18: Interpolation: Splines 1\" href=\"http:\/\/www.sjut.org\/math\/index.php\/courselist\/mat210\/mat210-l18-interpolation-splines-1\/\">Click here for lecture slides<\/a> based on <a href=\"http:\/\/nm.mathforcollege.com\/topics\/spline_method.html\" target=\"_blank\">Kaw, Chapter 5.05<\/a>.<\/p>\n<p>This introduction is part 1 of 2. Cubic splines are more commonly applied and will be covered in part 2. For now, <a title=\"Cubic Splines Stockie 2008\" href=\"https:\/\/www.dropbox.com\/s\/mhff6zk9bgua9qi\/splines.pdf\" target=\"_blank\">read these 2008\u00a0 MACM 316 lecture notes on cubic splines<\/a> by <a title=\"John Stockie SFU\" href=\"http:\/\/people.math.sfu.ca\/~stockie\/\" target=\"_blank\">John Stockie<\/a> and Stephen Rauch from the Department of Mathematics at Simon Fraser University.<\/p>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>For some functions, a single polynomial is not a good fit, especially if there are different shapes in different regions. An alternative approach is to use piecewise polynomial interpolation , [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[43],"tags":[35,54],"jetpack_featured_media_url":"","_links":{"self":[{"href":"http:\/\/www.sjut.org\/math\/index.php\/wp-json\/wp\/v2\/posts\/423"}],"collection":[{"href":"http:\/\/www.sjut.org\/math\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.sjut.org\/math\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.sjut.org\/math\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.sjut.org\/math\/index.php\/wp-json\/wp\/v2\/comments?post=423"}],"version-history":[{"count":1,"href":"http:\/\/www.sjut.org\/math\/index.php\/wp-json\/wp\/v2\/posts\/423\/revisions"}],"predecessor-version":[{"id":424,"href":"http:\/\/www.sjut.org\/math\/index.php\/wp-json\/wp\/v2\/posts\/423\/revisions\/424"}],"wp:attachment":[{"href":"http:\/\/www.sjut.org\/math\/index.php\/wp-json\/wp\/v2\/media?parent=423"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.sjut.org\/math\/index.php\/wp-json\/wp\/v2\/categories?post=423"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.sjut.org\/math\/index.php\/wp-json\/wp\/v2\/tags?post=423"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}