{"id":201,"date":"2018-07-12T05:59:20","date_gmt":"2018-07-12T05:59:20","guid":{"rendered":"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/?post_type=chapter&p=201"},"modified":"2019-05-15T08:51:11","modified_gmt":"2019-05-15T08:51:11","slug":"interpolation-with-equally-spaced-nodes-1","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/chapter\/interpolation-with-equally-spaced-nodes-1\/","title":{"rendered":"Interpolation with equally spaced nodes-1"},"content":{"raw":"
\"epgp<\/a>\r\n<\/span><\/div>\r\n

Interpolation with equally spaced nodes-1<\/strong><\/p>\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. Detailed discussion on finite differences (forward, Backward as well as Central) and their properties, is given in references [8] and [10] Comparative study of various forward \/Backward and central difference formulae is given in [10]. Introduction of the forward \/ backward difference interpolating polynomials via divided differences is given in [4].<\/p>\r\n\r\n\r\n\r\n
you can view video on Interpolation with equally spaced nodes-1<\/strong><\/td>\r\n\"\"<\/a><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n\r\n\r\nReferrences:<\/strong>\r\n\r\n \r\n\r\n1.\u00a0\u00a0 Steven C Chapra & Raymond Canale: N. Methods for Engineers, 5th Ed. TMH, 2009\r\n\r\n \r\n\r\n2.\u00a0\u00a0 Conte Samuel D. & Carl de Boor: Elementary N A \u2013 An Algorithmic approach, 3rd Ed., TMH, 2005.\r\n\r\n \r\n\r\n3.\u00a0 \u00a0Alfio Quarteroni, Recardo Sacco, Fausto Saleri: N. Mathematics (Text in Applied Math.) 2nd Ed. SV, 2007\r\n\r\n \r\n\r\n4.\u00a0\u00a0 Richard L. Burden & J. Douglas Faires: N A \u2013Theory & Applications, Cengage Learning, 2005.\r\n\r\n \r\n\r\n5.\u00a0 \u00a0Won Y. Yang, Wenwu Cao, Tae-Sang Chung, & John Morris: Applied NM Using Matlab, WSE, 2005\r\n\r\n \r\n\r\n6.\u00a0 \u00a0Kendall Atkinson & Weimin Han: Elimentary Numerical Analysis, Third edition, Wiley Dreamtech India(P) Ltd., 2004.\r\n\r\n \r\n\r\n7.\u00a0 \u00a0Matheus Grasselli & Dimitry Pelinovsky: Numerical Mathematics, Narosa Publishing House, 2009.\r\n\r\n \r\n\r\n8.\u00a0\u00a0 s. s. ssatry: Introductory Methods of Numerical Analysis, PHI, 1989.\r\n\r\n \r\n\r\n9.\u00a0\u00a0 Polynomial interpolation, From Wikipedia, the free encyclopaedia\r\n\r\n \r\n\r\n10. Carl-Erik Froberg: Introduction to Numerical Analysis, Addition-Wesley Pub. Co., 1981\r\n\r\n \r\n\r\n ","rendered":"
\"epgp<\/a>
\n<\/span><\/div>\n

Interpolation with equally spaced nodes-1<\/strong><\/p>\n

 <\/p>\n

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

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

 <\/p>\n

The following are some of the references on Interpolation. Detailed discussion on finite differences (forward, Backward as well as Central) and their properties, is given in references [8] and [10] Comparative study of various forward \/Backward and central difference formulae is given in [10]. Introduction of the forward \/ backward difference interpolating polynomials via divided differences is given in [4].<\/p>\n\n\n\n
you can view video on Interpolation with equally spaced nodes-1<\/strong><\/td>\n\"\"<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

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

 <\/p>\n

1.\u00a0\u00a0 Steven C Chapra & Raymond Canale: N. Methods for Engineers, 5th Ed. TMH, 2009<\/p>\n

 <\/p>\n

2.\u00a0\u00a0 Conte Samuel D. & Carl de Boor: Elementary N A \u2013 An Algorithmic approach, 3rd Ed., TMH, 2005.<\/p>\n

 <\/p>\n

3.\u00a0 \u00a0Alfio Quarteroni, Recardo Sacco, Fausto Saleri: N. Mathematics (Text in Applied Math.) 2nd Ed. SV, 2007<\/p>\n

 <\/p>\n

4.\u00a0\u00a0 Richard L. Burden & J. Douglas Faires: N A \u2013Theory & Applications, Cengage Learning, 2005.<\/p>\n

 <\/p>\n

5.\u00a0 \u00a0Won Y. Yang, Wenwu Cao, Tae-Sang Chung, & John Morris: Applied NM Using Matlab, WSE, 2005<\/p>\n

 <\/p>\n

6.\u00a0 \u00a0Kendall Atkinson & Weimin Han: Elimentary Numerical Analysis, Third edition, Wiley Dreamtech India(P) Ltd., 2004.<\/p>\n

 <\/p>\n

7.\u00a0 \u00a0Matheus Grasselli & Dimitry Pelinovsky: Numerical Mathematics, Narosa Publishing House, 2009.<\/p>\n

 <\/p>\n

8.\u00a0\u00a0 s. s. ssatry: Introductory Methods of Numerical Analysis, PHI, 1989.<\/p>\n

 <\/p>\n

9.\u00a0\u00a0 Polynomial interpolation, From Wikipedia, the free encyclopaedia<\/p>\n

 <\/p>\n

10. Carl-Erik Froberg: Introduction to Numerical Analysis, Addition-Wesley Pub. Co., 1981<\/p>\n

 <\/p>\n

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