{"id":195,"date":"2018-07-12T05:53:27","date_gmt":"2018-07-12T05:53:27","guid":{"rendered":"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/?post_type=chapter&#038;p=195"},"modified":"2019-05-15T08:50:20","modified_gmt":"2019-05-15T08:50:20","slug":"newtons-divided-difference-interpolation-2","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/chapter\/newtons-divided-difference-interpolation-2\/","title":{"rendered":"Newton\u2019s Divided Difference Interpolation-2"},"content":{"raw":"<div><span style=\"float: right;\"><a href=\"https:\/\/youtu.be\/FTAEDPpNy7I\" 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<img class=\"aligncenter wp-image-196 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729231Module13_econtent_Page_1-e1533206684544.jpg\" alt=\"\" width=\"1309\" height=\"1450\" \/> <img class=\"aligncenter wp-image-199 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729231Module13_econtent_Page_2-e1533206710880.jpg\" alt=\"\" width=\"1303\" height=\"1882\" \/> <img class=\"aligncenter wp-image-198 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729231Module13_econtent_Page_3-e1533206754600.jpg\" alt=\"\" width=\"1303\" height=\"1906\" \/> <img class=\"aligncenter wp-image-197 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729231Module13_econtent_Page_4-e1533206792939.jpg\" alt=\"\" width=\"1415\" height=\"2090\" \/>\r\n\r\n&nbsp;\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\u00a0interpolation is given in reference 3, 4, and 7. Computational\u00a0aspects 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 Newton\u2019s Divided Difference Interpolation-2<\/strong><\/td>\r\n<td><a href=\"https:\/\/youtu.be\/FTAEDPpNy7I\" 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\u00a0\u2013 An Algorithmic approach, 3rd Ed., 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. s. s. ssatry: Introductory Methods of Numerical Analysis, PHI, 1989.<\/div>\r\n<div>9. Polynomial interpolation, From Wikipedia, the free encyclopaedia<\/div>","rendered":"<div><span style=\"float: right;\"><a href=\"https:\/\/youtu.be\/FTAEDPpNy7I\" 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><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-196 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729231Module13_econtent_Page_1-e1533206684544.jpg\" alt=\"\" width=\"1309\" height=\"1450\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729231Module13_econtent_Page_1-e1533206684544.jpg 1309w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729231Module13_econtent_Page_1-e1533206684544-271x300.jpg 271w, 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src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729231Module13_econtent_Page_2-e1533206710880.jpg\" alt=\"\" width=\"1303\" height=\"1882\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729231Module13_econtent_Page_2-e1533206710880.jpg 1303w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729231Module13_econtent_Page_2-e1533206710880-208x300.jpg 208w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729231Module13_econtent_Page_2-e1533206710880-768x1109.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729231Module13_econtent_Page_2-e1533206710880-709x1024.jpg 709w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729231Module13_econtent_Page_2-e1533206710880-65x94.jpg 65w, 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https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729231Module13_econtent_Page_3-e1533206754600-768x1123.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729231Module13_econtent_Page_3-e1533206754600-700x1024.jpg 700w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729231Module13_econtent_Page_3-e1533206754600-65x95.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729231Module13_econtent_Page_3-e1533206754600-225x329.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729231Module13_econtent_Page_3-e1533206754600-350x512.jpg 350w\" sizes=\"auto, (max-width: 1303px) 100vw, 1303px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-197 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729231Module13_econtent_Page_4-e1533206792939.jpg\" alt=\"\" width=\"1415\" height=\"2090\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729231Module13_econtent_Page_4-e1533206792939.jpg 1415w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729231Module13_econtent_Page_4-e1533206792939-203x300.jpg 203w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729231Module13_econtent_Page_4-e1533206792939-768x1134.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729231Module13_econtent_Page_4-e1533206792939-693x1024.jpg 693w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729231Module13_econtent_Page_4-e1533206792939-65x96.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729231Module13_econtent_Page_4-e1533206792939-225x332.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729231Module13_econtent_Page_4-e1533206792939-350x517.jpg 350w\" sizes=\"auto, (max-width: 1415px) 100vw, 1415px\" \/><\/p>\n<p>&nbsp;<\/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\u00a0interpolation is given in reference 3, 4, and 7. Computational\u00a0aspects 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 Newton\u2019s Divided Difference Interpolation-2<\/strong><\/td>\n<td><a href=\"https:\/\/youtu.be\/FTAEDPpNy7I\" 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\u00a0\u2013 An Algorithmic approach, 3rd Ed., 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- 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. s. s. ssatry: Introductory Methods of Numerical Analysis, PHI, 1989.<\/div>\n<div>9. Polynomial interpolation, From Wikipedia, the free encyclopaedia<\/div>\n","protected":false},"author":4,"menu_order":13,"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-195","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\/195","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\/195\/revisions"}],"predecessor-version":[{"id":595,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapters\/195\/revisions\/595"}],"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\/195\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/wp\/v2\/media?parent=195"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapter-type?post=195"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/wp\/v2\/contributor?post=195"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/wp\/v2\/license?post=195"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}