{"id":379,"date":"2014-05-29T08:44:41","date_gmt":"2014-05-29T05:44:41","guid":{"rendered":"http:\/\/www.sjut.org\/math\/?p=379"},"modified":"2014-06-08T21:12:33","modified_gmt":"2014-06-08T18:12:33","slug":"mat210-l15-interpolation-direct-p","status":"publish","type":"post","link":"http:\/\/www.sjut.org\/math\/index.php\/mat210-l15-interpolation-direct-p\/","title":{"rendered":"MAT210 Lesson 15: Direct Interpolation"},"content":{"rendered":"<p>In Numerical Analysis, our interest is not just interpolation of <em>values<\/em>, but interpolation of <em>functions<\/em>. Interpolation of functions means approximating a complex or unknown function with a simpler function, which is usually a polynomial. Polynomials are:<\/p>\n<ul>\n<li>Easy to Evaluation<\/li>\n<li>Easy to Differentiate<\/li>\n<li>Easy to Integrate<\/li>\n<li>Easy to find from our friend the Taylor Series.<\/li>\n<\/ul>\n<p><a title=\"MAT210 L15: Interpolation: Direct\" href=\"http:\/\/www.sjut.org\/math\/index.php\/courselist\/mat210\/mat210-l15-interpolation-direct\/\">Lecture slides<\/a> based on Kaw Chapter 5, <a href=\"http:\/\/nm.mathforcollege.com\/topics\/primer_interpolation.html\" target=\"_blank\">Sections 5.01<\/a> and <a href=\"http:\/\/nm.mathforcollege.com\/topics\/direct_method.html\" target=\"_blank\">5.02<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>In Numerical Analysis, our interest is not just interpolation of values, but interpolation of functions. Interpolation of functions means approximating a complex or unknown function with a simpler function, which [&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\/379"}],"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=379"}],"version-history":[{"count":6,"href":"http:\/\/www.sjut.org\/math\/index.php\/wp-json\/wp\/v2\/posts\/379\/revisions"}],"predecessor-version":[{"id":416,"href":"http:\/\/www.sjut.org\/math\/index.php\/wp-json\/wp\/v2\/posts\/379\/revisions\/416"}],"wp:attachment":[{"href":"http:\/\/www.sjut.org\/math\/index.php\/wp-json\/wp\/v2\/media?parent=379"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.sjut.org\/math\/index.php\/wp-json\/wp\/v2\/categories?post=379"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.sjut.org\/math\/index.php\/wp-json\/wp\/v2\/tags?post=379"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}