{"id":219,"date":"2018-07-12T06:16:06","date_gmt":"2018-07-12T06:16:06","guid":{"rendered":"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/?post_type=chapter&p=219"},"modified":"2019-05-15T08:53:37","modified_gmt":"2019-05-15T08:53:37","slug":"piecewise-polynomial-interpolation","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/chapter\/piecewise-polynomial-interpolation\/","title":{"rendered":"Piecewise Polynomial Interpolation"},"content":{"raw":"
\"epgp<\/a>\r\n<\/span><\/div>\r\n

Piecewise Polynomial Interpolation<\/strong><\/p>\r\n \r\n\r\n \r\n\r\n\"\" \"\" \"\" \"\" \"\" \"\" \"\"\r\n\r\n \r\n

Additional Reading material<\/strong><\/p>\r\n \r\n

The following are some of the references on Interpolation. Piecewise linear interpolation has been discussed in most of the books in the following list. Piecewise quadric and piecewise cubic interpolation as discussed in the given notes is often used in numerical integration of f. Hermite and Spline interpolation is very wel discussed in references [3] and [4].<\/p>\r\n\r\n\r\n\r\n
you can view video on Piecewise Polynomial Interpolation<\/strong><\/td>\r\n\"\"<\/a><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n\r\nReferences:<\/strong>\r\n
    \r\n \t
  1. Steven C Chapra & Raymond Canale: N. Methods for Engineers, 5th Ed. TMH, 2009<\/li>\r\n \t
  2. Conte Samuel D. & Carl de Boor: Elementary N A \u2013 An Algorithmic approach, 3rd Ed., TMH, 2005.<\/li>\r\n \t
  3. Alfio Quarteroni, Recardo Sacco, Fausto Saleri: N. Mathematics (Text in Applied Math.) 2nd Ed. SV, 2007<\/li>\r\n \t
  4. Richard L. Burden & J. Douglas Faires: N A \u2013Theory & Applications, Cengage Learning, 2005.<\/li>\r\n \t
  5. Won Y. Yang, Wenwu Cao, Tae-Sang Chung, & John Morris: Applied NM Using Matlab, WSE, 2005<\/li>\r\n \t
  6. Kendall Atkinson & Weimin Han: Elimentary Numerical Analysis, Third edition, Wiley Dreamtech India(P) Ltd., 2004.<\/li>\r\n \t
  7. Matheus Grasselli & Dimitry Pelinovsky: Numerical Mathematics, Narosa Publishing House, 2009.<\/li>\r\n \t
  8. s. s. ssatry: Introductory Methods of Numerical Analysis, PHI, 1989.<\/li>\r\n \t
  9. Polynomial interpolation, From Wikipedia, the free encyclopaedia<\/li>\r\n \t
  10. Carl-Erik Froberg: Introduction to Numerical Analysis, Addition-Wesley Pub. Co., 1981<\/li>\r\n<\/ol>","rendered":"
    \"epgp<\/a>
    \n<\/span><\/div>\n

    Piecewise Polynomial Interpolation<\/strong><\/p>\n

     <\/p>\n

     <\/p>\n

    \"\" \"\" \"\" \"\" \"\" \"\" \"\"<\/p>\n

     <\/p>\n

    Additional Reading material<\/strong><\/p>\n

     <\/p>\n

    The following are some of the references on Interpolation. Piecewise linear interpolation has been discussed in most of the books in the following list. Piecewise quadric and piecewise cubic interpolation as discussed in the given notes is often used in numerical integration of f. Hermite and Spline interpolation is very wel discussed in references [3] and [4].<\/p>\n\n\n\n
    you can view video on Piecewise Polynomial Interpolation<\/strong><\/td>\n\"\"<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

    References:<\/strong><\/p>\n

      \n
    1. Steven C Chapra & Raymond Canale: N. Methods for Engineers, 5th Ed. TMH, 2009<\/li>\n
    2. Conte Samuel D. & Carl de Boor: Elementary N A \u2013 An Algorithmic approach, 3rd Ed., TMH, 2005.<\/li>\n
    3. Alfio Quarteroni, Recardo Sacco, Fausto Saleri: N. Mathematics (Text in Applied Math.) 2nd Ed. SV, 2007<\/li>\n
    4. Richard L. Burden & J. Douglas Faires: N A \u2013Theory & Applications, Cengage Learning, 2005.<\/li>\n
    5. Won Y. Yang, Wenwu Cao, Tae-Sang Chung, & John Morris: Applied NM Using Matlab, WSE, 2005<\/li>\n
    6. Kendall Atkinson & Weimin Han: Elimentary Numerical Analysis, Third edition, Wiley Dreamtech India(P) Ltd., 2004.<\/li>\n
    7. Matheus Grasselli & Dimitry Pelinovsky: Numerical Mathematics, Narosa Publishing House, 2009.<\/li>\n
    8. s. s. ssatry: Introductory Methods of Numerical Analysis, PHI, 1989.<\/li>\n
    9. Polynomial interpolation, From Wikipedia, the free encyclopaedia<\/li>\n
    10. Carl-Erik Froberg: Introduction to Numerical Analysis, Addition-Wesley Pub. Co., 1981<\/li>\n<\/ol>\n","protected":false},"author":4,"menu_order":16,"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-219","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\/219","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":4,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapters\/219\/revisions"}],"predecessor-version":[{"id":599,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapters\/219\/revisions\/599"}],"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\/219\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/wp\/v2\/media?parent=219"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapter-type?post=219"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/wp\/v2\/contributor?post=219"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/wp\/v2\/license?post=219"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}