{"id":8189,"date":"2016-03-23T13:01:51","date_gmt":"2016-03-23T13:01:51","guid":{"rendered":"https:\/\/webknjizara.hr\/?product=numerical-methods-iv-interpolation-and-shape-functions"},"modified":"2023-02-27T00:16:42","modified_gmt":"2023-02-26T23:16:42","slug":"numerical-methods-iv-interpolation-and-shape-functions","status":"publish","type":"product","link":"https:\/\/webknjizara.hr\/en\/proizvod\/numerical-methods-iv-interpolation-and-shape-functions\/","title":{"rendered":"Numerical Methods IV-INTERPOLATION AND SHAPE FUNCTIONS"},"content":{"rendered":"<p style=\"text-align: justify;\"><span style=\"color: #ff0000;\"><strong>Format:<\/strong><\/span> Black and White on White Paper, 6.30&#8243;x8.86&#8243; (225&#215;160 mm), Paperback, 270 pages.<\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #339966;\"><strong>Several other Colour and Black &#038; White options are also available.<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #ff0000;\"><strong>An Colour option<\/strong><\/span> can be found <a href=\"hr\/component\/virtuemart\/?page=shop.product_details&#038;flypage=flypage.tpl&#038;product_id=530\" target=\"_blank\" rel=\"noopener\">here<\/a>.<\/p>\n<p style=\"text-align: justify;\"><strong>About the book:<\/strong><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #0000ff;\"><strong>An excellent textbook<\/strong><\/span> established at several universities. Primarily written for students at technical universities, it is also a very useful handbook for engineers, PhD students and scientists. Now available in several forms at all continents.<\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #0000ff;\"><strong>This textbook introduces the reader<\/strong><\/span> into various interpolation methods. The interpolation domain is usually divided into interpolation elements, such as finite elements and boundary elements. Interpolation on these elements is provided by shape functions, which are systematically defined in global and local coordinates by using null-points, null-lines or null-planes.<\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #0000ff;\"><strong>Why the interpolation and shape functions are so important?<\/strong><\/span> Simply, because various various numerical methods (such as FEM and BEM) are based on them.<\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #0000ff;\"><strong>The book is divided into seven chapters.<\/strong><\/span> The first chapter briefly explaines a background of interpolation. There is explained a difference between simple interpolation methods and higher level interpolation methods, as well as two kinds of interpolation formulas which uses coordinate and shape functions. In the second chapter are described various polynomial interpolation methods. It is also shown how Chebyshev polynomial interpolation my suppress Runge\u2019s phenomenon and reduce interpolation error. In the third chapter non-polynomial methods (exponential, logarithmic, and rational) are discussed. These methods are important if the interpolation is performed over the semi-infinite or infinite domain, while described Fourier interpolations should be used if the interpolation function is periodic. Piecewise interpolation with one dimensional interpolation elements and splines are described in the fourth chapter. Interpolation on triangular and rectangular elements, as well as construction of their shape functions are described in the fifth and sixth chapter. Finally, volume interpolation elements (tetrahedral, prismatic and cube elements) are described in seventh chapter.<\/p>\n<p><span style=\"color: #0000ff;\"><strong>Practical application<\/strong><\/span> is supported by 10 algorithms and 43 examples. Described interpolation elements can be easily used in finite and boundary element methods. Besides its practical usage, the given text with 131 figures and 26 tables, represents a valuable background for understanding, developing and applying various numerical methods.<\/p>\n<p style=\"text-align: justify;\"><strong>Reviewed by:<\/strong><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #0000ff;\"><strong>Prof. Maja Fo\u0161ner, D.Sc.<\/strong><\/span>, University of Maribor, Slovenia<\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #0000ff;\"><strong>Prof. Damir Jelaska, D.Sc.<\/strong><\/span>, University of Split, Croatia<\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #0000ff;\"><strong>Prof. Valery Lysenko, D.Sc.<\/strong><\/span>, Academic of the Russian Metrological Academy, Russian Research Institute for Metrological Service, Russia<\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #0000ff;\"><strong>Prof. Iztok Potr\u010d, D.Sc.<\/strong><\/span>, University of Maribor, Slovenia<\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #0000ff;\"><strong>Prof. Evgeny Pushkar, D.Sc.<\/strong><\/span>, Member correspondent of the Russian Academy of Natural Sciences, Moscow State Industrial University, Russia<\/p>\n<p><strong>Proof reading by:<\/strong><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #0000ff;\"><strong>Ksenija Mance, prof.<\/strong><\/span>, University of Rijeka, Croatia<\/p>\n<p style=\"text-align: justify;\"><strong>Author:<\/strong><\/p>\n<p><span style=\"color: #0000ff;\"><strong>Boris Obsieger, D.Sc.<\/strong><\/span>, professor at the University of Rijeka, Croatia. Head of Section for Machine Elements at the Faculty of Engineering in Rijeka. Holds lectures on Machine Elements Design, Robot Elements Design, Numerical Methods in Design and Boundary Element Method. Several invited lectures. President of CADAM Conferences. Main editor of international journal Advanced Engineering. Author of several books and a lot of scientific papers.<\/p>\n<p style=\"text-align: justify;\"><strong><br \/>Klju\u010dne rije\u010di:<\/strong> Newton interpolation, Lagrange interpolation, Chebyshev interpolation, Shape functions, FEM and BEM elements<\/p>\n<p><strong>Link:<\/strong> <a href=\"http:\/\/university-books.eu\">http:\/\/university-books.eu<\/a><\/p>\n<p style=\"text-align: justify;\"><strong>Naslov:<\/strong> Numerical Methods IV-INTERPOLATION AND SHAPE FUNCTIONS (unutra\u0161njost crno-bijela)<br \/><strong>Autor:<\/strong> Boris Obsieger<br \/><strong>Broj stranica:<\/strong> 274<br \/><strong>Nakladnik:<\/strong> Vlastita naklada<br \/><strong>Godina izdanja: .<\/strong><br \/><strong>ISBN:<\/strong> 978-953-7919-23-8<br \/><strong>Tisak:<\/strong> digitalni tisak knjiga &#8211; print na zahtjev\u00a0<\/p>\n<hr \/>\n<p style=\"text-align: justify;\"><strong>Kako naru\u010diti knjigu?\u00a0<\/strong>Proces online kupovine jednako funkcionira za sve kupce, s jedinom razlikom u tome \u0161to \u0161to kupci iz inozemstva za podru\u010dje dostave moraju odabrati &#8220;Europa&#8221; ili &#8220;Ostale zemlje svijeta&#8221;, a za vrstu pla\u0107anja WSPay (kreditna kartica) ili Virmanom (bankovni transfer).<\/p>\n<p style=\"text-align: justify;\">Molimo kliknite ovdje za\u00a0<a href=\"hr\/kako-kupovati\" target=\"_blank\" rel=\"noopener\">detaljni vodi\u010d kroz proces narud\u017ebe<\/a>\u00a0ili nas\u00a0<a href=\"hr\/kontakt\" target=\"_blank\" rel=\"noopener\">kontaktirajte<\/a>\u00a0za vi\u0161e informacija.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Format: Black and White on White Paper, 6.30&#8243;x8.86&#8243; (225&#215;160 mm), Paperback, 270 pages. Several other Colour and Black &#038; White options are also available. An Colour option can be found here. About the book: An excellent textbook established at several universities. Primarily written for students at technical universities, it is also a very useful handbook [&hellip;]<\/p>\n","protected":false},"featured_media":8190,"comment_status":"open","ping_status":"closed","template":"","meta":{"_acf_changed":false},"product_brand":[],"product_cat":[1539],"product_tag":[],"class_list":["post-8189","product","type-product","status-publish","has-post-thumbnail","product_cat-sveucilisni-udzbenici-i-prirucnici","pa_nakladnik-vlastita-naklada","first","instock","shipping-taxable","purchasable","product-type-simple"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Numerical Methods IV-INTERPOLATION AND SHAPE FUNCTIONS - Web-knji\u017eara<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/webknjizara.hr\/proizvod\/numerical-methods-iv-interpolation-and-shape-functions\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Numerical Methods IV-INTERPOLATION AND SHAPE FUNCTIONS - Web-knji\u017eara\" \/>\n<meta property=\"og:description\" content=\"Format: Black and White on White Paper, 6.30&#8243;x8.86&#8243; (225&#215;160 mm), Paperback, 270 pages. 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