{"id":190,"date":"2018-07-12T05:47:45","date_gmt":"2018-07-12T05:47:45","guid":{"rendered":"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/?post_type=chapter&#038;p=190"},"modified":"2019-05-15T08:48:40","modified_gmt":"2019-05-15T08:48:40","slug":"newtons-divided-difference-interpolation-1","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/chapter\/newtons-divided-difference-interpolation-1\/","title":{"rendered":"Newtons Divided Difference Interpolation-1"},"content":{"raw":"<div><span style=\"float: right;\"><a href=\"https:\/\/youtu.be\/BjVUpileXN4\" target=\"_blank\" rel=\"noopener\"><img src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"epgp books\" width=\"75px\" height=\"75px;\" \/><\/a>\r\n<\/span><\/div>\r\n<p style=\"text-align: center;\"><strong>Newtons Divided Difference Interpolation-1<\/strong><\/p>\r\n&nbsp;\r\n\r\n<img class=\"aligncenter wp-image-193 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729170NewtonDivideddifferenceI_Page_1-e1533205300830.jpg\" alt=\"\" width=\"1305\" height=\"1748\" \/> <img class=\"aligncenter wp-image-192 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729170NewtonDivideddifferenceI_Page_2-e1533205343430.jpg\" alt=\"\" width=\"1286\" height=\"1970\" \/> <img class=\"aligncenter wp-image-191 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729170NewtonDivideddifferenceI_Page_3-e1533206628398.jpg\" alt=\"\" width=\"1408\" height=\"1376\" \/>\r\n\r\n<strong>Additional\u00a0Reading material<\/strong>\r\n\r\n&nbsp;\r\n<p style=\"text-align: justify;\">The following are some of the references on Interpolation. Detailed discussion on Properties of Newton\u2019s divided differences and\u00a0Error in Newton\u2019s divided differences interpolation is given in reference 3, 4, and 7. Computational aspects are discussed in reference 1. And MATLAB programs can be found in reference 5.<\/p>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>you can view video on Newtons Divided Difference Interpolation-1<\/strong><\/td>\r\n<td><a href=\"https:\/\/youtu.be\/BjVUpileXN4\" target=\"_blank\" rel=\"noopener\"><img class=\"alignnone wp-image-120\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"\" width=\"36\" height=\"36\" \/><\/a><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<p style=\"text-align: justify;\"><strong>References:<\/strong><\/p>\r\n&nbsp;\r\n<div>1.\u00a0Steven C Chapra &amp; Raymond Canale: N. Methods for Engineers, 5th Ed. TMH, 2009<\/div>\r\n<div>2. Conte Samuel D. &amp; Carl de Boor: Elementary N A \u2013 An Algorithmic approach, 3rd\u00a0Ed., TMH, 2005.<\/div>\r\n<div>3. Alfio Quarteroni, Recardo Sacco, Fausto Saleri: N. Mathematics\u00a0(Text in Applied Math.) 2nd Ed. SV, 2007<\/div>\r\n<div>4. Richard L. Burden &amp; J. Douglas Faires: N A\u00a0\u2013 Theory &amp; Applications, Cengage Learning, 2005.<\/div>\r\n<div>5. Won Y. Yang, Wenwu Cao, Tae - Sang Chung, &amp; John Morris: Applied NM Using Matlab, WSE, 2005<\/div>\r\n<div>6. Kendall Atkinson &amp; Weimin Han: Elimentary Numerical Analysis, Third\u00a0edition, Wiley Dreamtech India(P) Ltd., 2004.<\/div>\r\n<div>7. Matheus Grasselli &amp; Dimitry Pelinovsky: Numerical Mathematics, Narosa Publishing House, 2009.<\/div>\r\n<div>8.\u00a0s. s. ssatry: Introductory Methods of Numerical Analysis, PHI, 1989.<\/div>\r\n<div>9.\u00a0Polynomial interpolation, From Wikipedia, the free encyclopaedia<\/div>\r\n&nbsp;","rendered":"<div><span style=\"float: right;\"><a href=\"https:\/\/youtu.be\/BjVUpileXN4\" target=\"_blank\" rel=\"noopener\"><img decoding=\"async\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"epgp books\" width=\"75px\" height=\"75px;\" \/><\/a><br \/>\n<\/span><\/div>\n<p style=\"text-align: center;\"><strong>Newtons Divided Difference Interpolation-1<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-193 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729170NewtonDivideddifferenceI_Page_1-e1533205300830.jpg\" alt=\"\" width=\"1305\" height=\"1748\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729170NewtonDivideddifferenceI_Page_1-e1533205300830.jpg 1305w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729170NewtonDivideddifferenceI_Page_1-e1533205300830-224x300.jpg 224w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729170NewtonDivideddifferenceI_Page_1-e1533205300830-768x1029.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729170NewtonDivideddifferenceI_Page_1-e1533205300830-764x1024.jpg 764w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729170NewtonDivideddifferenceI_Page_1-e1533205300830-65x87.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729170NewtonDivideddifferenceI_Page_1-e1533205300830-225x301.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729170NewtonDivideddifferenceI_Page_1-e1533205300830-350x469.jpg 350w\" sizes=\"auto, (max-width: 1305px) 100vw, 1305px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-192 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729170NewtonDivideddifferenceI_Page_2-e1533205343430.jpg\" alt=\"\" width=\"1286\" height=\"1970\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729170NewtonDivideddifferenceI_Page_2-e1533205343430.jpg 1286w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729170NewtonDivideddifferenceI_Page_2-e1533205343430-196x300.jpg 196w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729170NewtonDivideddifferenceI_Page_2-e1533205343430-768x1176.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729170NewtonDivideddifferenceI_Page_2-e1533205343430-668x1024.jpg 668w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729170NewtonDivideddifferenceI_Page_2-e1533205343430-65x100.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729170NewtonDivideddifferenceI_Page_2-e1533205343430-225x345.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729170NewtonDivideddifferenceI_Page_2-e1533205343430-350x536.jpg 350w\" sizes=\"auto, (max-width: 1286px) 100vw, 1286px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-191 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729170NewtonDivideddifferenceI_Page_3-e1533206628398.jpg\" alt=\"\" width=\"1408\" height=\"1376\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729170NewtonDivideddifferenceI_Page_3-e1533206628398.jpg 1408w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729170NewtonDivideddifferenceI_Page_3-e1533206628398-300x293.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729170NewtonDivideddifferenceI_Page_3-e1533206628398-768x751.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729170NewtonDivideddifferenceI_Page_3-e1533206628398-1024x1001.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729170NewtonDivideddifferenceI_Page_3-e1533206628398-65x64.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729170NewtonDivideddifferenceI_Page_3-e1533206628398-225x220.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729170NewtonDivideddifferenceI_Page_3-e1533206628398-350x342.jpg 350w\" sizes=\"auto, (max-width: 1408px) 100vw, 1408px\" \/><\/p>\n<p><strong>Additional\u00a0Reading material<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify;\">The following are some of the references on Interpolation. Detailed discussion on Properties of Newton\u2019s divided differences and\u00a0Error in Newton\u2019s divided differences interpolation is given in reference 3, 4, and 7. Computational aspects are discussed in reference 1. And MATLAB programs can be found in reference 5.<\/p>\n<table>\n<tbody>\n<tr>\n<td><strong>you can view video on Newtons Divided Difference Interpolation-1<\/strong><\/td>\n<td><a href=\"https:\/\/youtu.be\/BjVUpileXN4\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-120\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"\" width=\"36\" height=\"36\" \/><\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\"><strong>References:<\/strong><\/p>\n<p>&nbsp;<\/p>\n<div>1.\u00a0Steven C Chapra &amp; Raymond Canale: N. Methods for Engineers, 5th Ed. TMH, 2009<\/div>\n<div>2. Conte Samuel D. &amp; Carl de Boor: Elementary N A \u2013 An Algorithmic approach, 3rd\u00a0Ed., TMH, 2005.<\/div>\n<div>3. Alfio Quarteroni, Recardo Sacco, Fausto Saleri: N. Mathematics\u00a0(Text in Applied Math.) 2nd Ed. SV, 2007<\/div>\n<div>4. Richard L. Burden &amp; J. Douglas Faires: N A\u00a0\u2013 Theory &amp; Applications, Cengage Learning, 2005.<\/div>\n<div>5. Won Y. Yang, Wenwu Cao, Tae &#8211; Sang Chung, &amp; John Morris: Applied NM Using Matlab, WSE, 2005<\/div>\n<div>6. Kendall Atkinson &amp; Weimin Han: Elimentary Numerical Analysis, Third\u00a0edition, Wiley Dreamtech India(P) Ltd., 2004.<\/div>\n<div>7. Matheus Grasselli &amp; Dimitry Pelinovsky: Numerical Mathematics, Narosa Publishing House, 2009.<\/div>\n<div>8.\u00a0s. s. ssatry: Introductory Methods of Numerical Analysis, PHI, 1989.<\/div>\n<div>9.\u00a0Polynomial interpolation, From Wikipedia, the free encyclopaedia<\/div>\n<p>&nbsp;<\/p>\n","protected":false},"author":4,"menu_order":12,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":["dr-v-d-pathak"],"pb_section_license":""},"chapter-type":[],"contributor":[59],"license":[],"class_list":["post-190","chapter","type-chapter","status-publish","hentry","contributor-dr-v-d-pathak"],"part":3,"_links":{"self":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapters\/190","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/wp\/v2\/users\/4"}],"version-history":[{"count":5,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapters\/190\/revisions"}],"predecessor-version":[{"id":593,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapters\/190\/revisions\/593"}],"part":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/parts\/3"}],"metadata":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapters\/190\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/wp\/v2\/media?parent=190"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapter-type?post=190"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/wp\/v2\/contributor?post=190"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/wp\/v2\/license?post=190"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}