{"id":24,"date":"2023-08-28T13:07:05","date_gmt":"2023-08-28T16:07:05","guid":{"rendered":"https:\/\/disciplinas.ime.unicamp.br\/ms512\/?page_id=24"},"modified":"2023-08-30T13:10:27","modified_gmt":"2023-08-30T16:10:27","slug":"materiais-complementares","status":"publish","type":"page","link":"https:\/\/disciplinas.ime.unicamp.br\/ms512\/materiais-complementares\/","title":{"rendered":"Materiais complementares"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">Did\u00e1tica Acad\u00eamica<\/h2>\n\n\n\n<h4 class=\"wp-block-heading\">Notas de aulas introdut\u00f3rias<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Aritm\u00e9tica de Ponto Flutuante (texto de M\u00e1rcia A Gomes Ruggiero)&nbsp;&nbsp;&#8211;&nbsp;&nbsp;<a href=\"http:\/\/tripolis.ime.unicamp.br\/~ms512\/%5Btitle%5D\"><\/a><a href=\"http:\/\/tripolis.ime.unicamp.br\/~ms512\/%5Btitle%5D\"><\/a><a href=\"http:\/\/disciplinas.ime.unicamp.br\/ms512\/wp-content\/uploads\/sites\/7\/2023\/08\/pontoflutuante.pdf\">pontoflutuante.pdf<\/a><\/li>\n\n\n\n<li>Condicionamento de algoritmos (texto de Eduardo Abreu)&nbsp;&nbsp;&#8211;&nbsp;&nbsp;<a href=\"http:\/\/tripolis.ime.unicamp.br\/~ms512\/%5Btitle%5D\"><\/a><a href=\"http:\/\/tripolis.ime.unicamp.br\/~ms512\/%5Btitle%5D\"><\/a><a href=\"http:\/\/disciplinas.ime.unicamp.br\/ms512\/wp-content\/uploads\/sites\/7\/2023\/08\/CN1Sem2015.pdf\">CN1Sem2015.pdf<\/a><\/li>\n\n\n\n<li><a href=\"http:\/\/www.youtube.com\/watch?v=lempeC72Tyg&amp;feature=c4-overview-vl&amp;list=PLFBA21F349930F92F\" target=\"_blank\" rel=\"noreferrer noopener\">Cursos Unicamp &#8211; C\u00e1lculo III<\/a><\/li>\n\n\n\n<li><mark class=\"has-inline-color has-black-color\">Determina\u00e7\u00e3o Autovalores\/Autovetores (Notas, Slides, Aplica\u00e7\u00f5es e Videos)<\/mark>\n<ul class=\"wp-block-list\">\n<li><a href=\"http:\/\/disciplinas.ime.unicamp.br\/ms512\/wp-content\/uploads\/sites\/7\/2023\/08\/PCAprojection.pdf\">PCAprojection.pdf<\/a><\/li>\n\n\n\n<li><a href=\"http:\/\/disciplinas.ime.unicamp.br\/ms512\/wp-content\/uploads\/sites\/7\/2023\/08\/slidesB.pdf\">slidesb.pdf<\/a><\/li>\n\n\n\n<li><a href=\"http:\/\/disciplinas.ime.unicamp.br\/ms512\/wp-content\/uploads\/sites\/7\/2023\/08\/TheBestTop10Algorithms.pdf\">TheBestTop10Algorithms<\/a><\/li>\n\n\n\n<li><a href=\"http:\/\/disciplinas.ime.unicamp.br\/ms512\/wp-content\/uploads\/sites\/7\/2023\/08\/0ProjetoComputacional2.pdf\">0ProjetoComputacional2.pdf<\/a><\/li>\n\n\n\n<li><a href=\"http:\/\/disciplinas.ime.unicamp.br\/ms512\/wp-content\/uploads\/sites\/7\/2023\/08\/3Pole-ComplexAnalysisWiki.pdf\">3Pole-ComplexAnalysisWiki.pdf<\/a><\/li>\n\n\n\n<li><a href=\"http:\/\/disciplinas.ime.unicamp.br\/ms512\/wp-content\/uploads\/sites\/7\/2023\/08\/4francis-DSWams2011.pdf\">4francis-DSWams2011.pdf<\/a><\/li>\n\n\n\n<li><a href=\"http:\/\/disciplinas.ime.unicamp.br\/ms512\/wp-content\/uploads\/sites\/7\/2023\/08\/3qdLR-GlasgowHO.pdf\">3qdLR-GlasgowHO.pdf<\/a><\/li>\n\n\n\n<li><a href=\"http:\/\/disciplinas.ime.unicamp.br\/ms512\/wp-content\/uploads\/sites\/7\/2023\/08\/sum95cleve-QRalgorithmShift.pdf\">sum95cleve-QRalgorithmShift.pdf<\/a><\/li>\n\n\n\n<li>V\u00eddeos:\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/www.youtube.com\/watch?v=3mclp9QmCGs\" data-type=\"link\" data-id=\"https:\/\/www.youtube.com\/watch?v=3mclp9QmCGs\">Tacoma narrows bridge (long)<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.youtube.com\/watch?v=DaWsgmsTFAs\" data-type=\"link\" data-id=\"https:\/\/www.youtube.com\/watch?v=DaWsgmsTFAs\">Tacoma narrows bridge (short)<\/a><\/li>\n\n\n\n<li>Millennium Bridge London &#8211; <a href=\"https:\/\/en.wikipedia.org\/wiki\/Millennium_Bridge,_London\" data-type=\"link\" data-id=\"https:\/\/en.wikipedia.org\/wiki\/Millennium_Bridge,_London\">info<\/a> e <a href=\"https:\/\/www.youtube.com\/watch?v=gQK21572oSU\" data-type=\"link\" data-id=\"https:\/\/www.youtube.com\/watch?v=gQK21572oSU\">v\u00eddeo<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.youtube.com\/watch?v=uWoiMMLIvco\" data-type=\"link\" data-id=\"https:\/\/www.youtube.com\/watch?v=uWoiMMLIvco\">Resonance Bridge many harmonics<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.youtube.com\/watch?v=ztBGCesBudE\" data-type=\"link\" data-id=\"https:\/\/www.youtube.com\/watch?v=ztBGCesBudE\">More resonance effects<\/a><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><a href=\"http:\/\/www.ime.unicamp.br\/~pulino\/MS512\/livros.htm\" target=\"_blank\" rel=\"noreferrer noopener\">Livros online para MS512<\/a><\/li>\n\n\n\n<li>Matem\u00e1tica num\u00e9rica: Sistemas Lineares, motiva\u00e7\u00e3o e aplica\u00e7\u00f5es&nbsp;&nbsp;&#8211;&nbsp;&nbsp;<a href=\"http:\/\/tripolis.ime.unicamp.br\/~ms512\/%5Btitle%5D\"><\/a><a href=\"http:\/\/tripolis.ime.unicamp.br\/~ms512\/%5Btitle%5D\"><\/a><a href=\"http:\/\/disciplinas.ime.unicamp.br\/ms512\/wp-content\/uploads\/sites\/7\/2023\/08\/MotivacaoAxb.pdf\">MotivacaoAxb.pdf<\/a><\/li>\n\n\n\n<li>Notas adicionais sobre m\u00e9todos de Broyden e Subespa\u00e7os de Krylov&nbsp;&nbsp;&#8211;&nbsp;&nbsp;<a href=\"http:\/\/tripolis.ime.unicamp.br\/~ms512\/%5Btitle%5D\"><\/a><a href=\"http:\/\/tripolis.ime.unicamp.br\/~ms512\/%5Btitle%5D\"><\/a><a href=\"http:\/\/disciplinas.ime.unicamp.br\/ms512\/wp-content\/uploads\/sites\/7\/2023\/08\/Broyden_Krylov.pdf\">Broyden_Krylov.pdf<\/a><\/li>\n\n\n\n<li>Palestra sistemas lineares (texto Aurelio R. L. Oliveira)&nbsp;&nbsp;&#8211;&nbsp;&nbsp;<a href=\"http:\/\/tripolis.ime.unicamp.br\/~ms512\/%5Btitle%5D\"><\/a><a href=\"http:\/\/tripolis.ime.unicamp.br\/~ms512\/%5Btitle%5D\"><\/a><a href=\"http:\/\/disciplinas.ime.unicamp.br\/ms512\/wp-content\/uploads\/sites\/7\/2023\/08\/palestrasistemas.pdf\">palestrasistemas.pdf<\/a><\/li>\n\n\n\n<li>Provas t\u00e9cnicas e construtivas sobre SVD&nbsp;&nbsp;&#8211;&nbsp;&nbsp;<a href=\"http:\/\/tripolis.ime.unicamp.br\/~ms512\/%5Btitle%5D\"><\/a><a href=\"http:\/\/tripolis.ime.unicamp.br\/~ms512\/%5Btitle%5D\"><\/a><a href=\"http:\/\/disciplinas.ime.unicamp.br\/ms512\/wp-content\/uploads\/sites\/7\/2023\/08\/ProvasAlternativasSVD.pdf\">ProvasAlternativasSVD.pdf<\/a><\/li>\n\n\n\n<li><a href=\"http:\/\/disciplinas.ime.unicamp.br\/ms512\/wp-content\/uploads\/sites\/7\/2023\/08\/Section_1.5_1.6-Watkins-D.S.-Fundamentals-of-matrix-computations-Wiley-2010.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">Se\u00e7\u00f5es 1.5 e 1.6 da 3\u00aa Edi\u00e7\u00e3o do Watkins<\/a><\/li>\n\n\n\n<li>Sistemas Lineares (texto de Jos\u00e9 Mario Martinez e Ana Friedlander)&nbsp;&nbsp;&#8211;&nbsp;&nbsp;<a href=\"http:\/\/tripolis.ime.unicamp.br\/~ms512\/%5Btitle%5D\"><\/a><a href=\"http:\/\/tripolis.ime.unicamp.br\/~ms512\/%5Btitle%5D\"><\/a><a href=\"http:\/\/disciplinas.ime.unicamp.br\/ms512\/wp-content\/uploads\/sites\/7\/2023\/08\/sistemaslin.pdf\">sistemaslin.pdf<\/a><\/li>\n<\/ul>\n\n\n\n<p><\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Linguagem de programa\u00e7\u00e3o<\/h4>\n\n\n\n<p>\u00c9 v\u00e1lido reiterar que a teoria para o desenvolvimento de m\u00e9todos construtivos de aproxima\u00e7\u00e3o (algoritmos num\u00e9ricos) \u00e9 baseada em resultados matem\u00e1ticos s\u00f3lidos e que m\u00e9todos num\u00e9ricos n\u00e3o s\u00e3o dependentes de uma&nbsp;<a href=\"http:\/\/pt.wikipedia.org\/wiki\/Linguagem_de_programa%C3%A7%C3%A3o\">linguagem de programa\u00e7\u00e3o<\/a>&nbsp;particular. Veja a seguir uma lista n\u00e3o exaustiva, e sem uma ordem de prefer\u00eancia, de ambientes \u00fateis de programa\u00e7\u00e3o de &#8220;alto n\u00edvel&#8221; e de &#8220;baixo n\u00edvel&#8221;.<\/p>\n\n\n\n<p><\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Alto n\u00edvel:<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"http:\/\/www.haskell.org\/haskellwiki\/Haskell\" target=\"_blank\" rel=\"noreferrer noopener\">Haskell<\/a><\/li>\n\n\n\n<li><a href=\"http:\/\/www.maplesoft.com\/products\/maple\/\" target=\"_blank\" rel=\"noreferrer noopener\">Maple<\/a><\/li>\n\n\n\n<li><a href=\"http:\/\/www.wolfram.com\/mathematica\/\" target=\"_blank\" rel=\"noreferrer noopener\">Mathematica<\/a><\/li>\n\n\n\n<li><a href=\"http:\/\/www.mathworks.com\/academia\/student_center\/tutorials\/launchpad.html\" target=\"_blank\" rel=\"noreferrer noopener\">Matlab<\/a><\/li>\n\n\n\n<li><a href=\"http:\/\/www.gnu.org\/software\/octave\/\" target=\"_blank\" rel=\"noreferrer noopener\">Octave<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.scilab.org\/\" target=\"_blank\" rel=\"noreferrer noopener\">Scilab<\/a><\/li>\n\n\n\n<li><a href=\"http:\/\/www.matematica.pucminas.br\/lcn\/vcn1.htm\" target=\"_blank\" rel=\"noreferrer noopener\">VCN<\/a><\/li>\n<\/ul>\n\n\n\n<p><\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Baixo n\u00edvel:<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"http:\/\/en.cppreference.com\/w\/\" target=\"_blank\" rel=\"noreferrer noopener\">C<\/a><\/li>\n\n\n\n<li><a href=\"http:\/\/en.cppreference.com\/w\/\" target=\"_blank\" rel=\"noreferrer noopener\">C++<\/a><\/li>\n\n\n\n<li><a href=\"http:\/\/www.softwarepreservation.org\/projects\/FORTRAN\/\" target=\"_blank\" rel=\"noreferrer noopener\">Fortran<\/a><\/li>\n\n\n\n<li><a href=\"http:\/\/www.inf.ethz.ch\/personal\/wirth\/\" target=\"_blank\" rel=\"noreferrer noopener\">Pascal<\/a><\/li>\n<\/ul>\n\n\n\n<p><\/p>\n\n\n\n<h4 class=\"wp-block-heading\">V\u00eddeos cient\u00edficos e outros materiais<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"http:\/\/history.siam.org\/\" target=\"_blank\" rel=\"noreferrer noopener\">The History of Numerical Analysis and Scientific Computing<\/a><\/li>\n\n\n\n<li><a href=\"http:\/\/andrew.gibiansky.com\/blog\/mathematics\/cool-linear-algebra-singular-value-decomposition\/\" target=\"_blank\" rel=\"noreferrer noopener\">Aplica\u00e7\u00e3o SVD<\/a><\/li>\n\n\n\n<li><a href=\"http:\/\/disciplinas.ime.unicamp.br\/ms512\/wp-content\/uploads\/sites\/7\/2023\/08\/MS512-Aplicacao_SVD.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">Aplica\u00e7\u00e3o SVD &#8211; Passo a passo<\/a><\/li>\n\n\n\n<li><a href=\"http:\/\/www.geogebra.org\/\" target=\"_blank\" rel=\"noreferrer noopener\">Geogebra<\/a><\/li>\n\n\n\n<li><a href=\"http:\/\/video.impa.br\/index.php?page=etienne-ghys-laudations-for-fields-medalist-artur-avila\" target=\"_blank\" rel=\"noreferrer noopener\">Laudations for Fields Medalist: Artur Avila (v\u00eddeo)<\/a><\/li>\n\n\n\n<li><mark class=\"has-inline-color has-vivid-purple-color\">Material Decomposi\u00e7\u00e3o QR e aplica\u00e7\u00f5es<\/mark>: givensrot.m, houserefle.m, runQRgivensRot.m e runQRhouseholderRef.<\/li>\n\n\n\n<li><a href=\"http:\/\/www.impa.br\/opencms\/pt\/destaques\/download_destaque\/news_release_avila.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">The Work of Artur Avila (em pdf)<\/a><\/li>\n\n\n\n<li><a href=\"http:\/\/www.wolframalpha.com\/\" target=\"_blank\" rel=\"noreferrer noopener\">Wolfram|Alpha: Computational Knowledge Engine<\/a><\/li>\n<\/ul>\n\n\n\n<p><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Ci\u00eancia e Aplica\u00e7\u00f5es<\/h2>\n\n\n\n<h4 class=\"wp-block-heading\">Artigos<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>An algorithm for the machine calculation of complex fourier series&nbsp;&nbsp;\u2013&nbsp;&nbsp;<a href=\"http:\/\/tripolis.ime.unicamp.br\/~ms993\/%5Btitle%5D\"><\/a><a href=\"http:\/\/tripolis.ime.unicamp.br\/~ms993\/%5Btitle%5D\"><\/a><a href=\"http:\/\/disciplinas.ime.unicamp.br\/ms512\/wp-content\/uploads\/sites\/8\/2023\/08\/machine-calculation-complex-fourier.pdf\">machine-calculation-complex-fourier.pdf<\/a><\/li>\n\n\n\n<li>Complexidade C\u00e1lculo Real&nbsp;&nbsp;\u2013&nbsp;&nbsp;<a href=\"http:\/\/tripolis.ime.unicamp.br\/~ms993\/%5Btitle%5D\"><\/a><a href=\"http:\/\/tripolis.ime.unicamp.br\/~ms993\/%5Btitle%5D\"><\/a><a href=\"http:\/\/disciplinas.ime.unicamp.br\/ms512\/wp-content\/uploads\/sites\/8\/2023\/08\/complexidade-computacao-real.pdf\">complexidade-computacao-real.pdf<\/a><\/li>\n\n\n\n<li>Computa\u00e7\u00e3o Real (precis\u00e3o infinita)&nbsp;&nbsp;\u2013&nbsp;&nbsp;<a href=\"http:\/\/tripolis.ime.unicamp.br\/~ms993\/%5Btitle%5D\"><\/a><a href=\"http:\/\/tripolis.ime.unicamp.br\/~ms993\/%5Btitle%5D\"><\/a><a href=\"http:\/\/disciplinas.ime.unicamp.br\/ms512\/wp-content\/uploads\/sites\/8\/2023\/08\/real-computation-model.pdf\">real-computation-model.pdf<\/a><\/li>\n\n\n\n<li><a href=\"http:\/\/www.ams.org\/samplings\/feature-column\/fcarc-pagerank\" target=\"_blank\" rel=\"noreferrer noopener\">How Google Finds Your Needle in the Web\u2019s Haystack<\/a><\/li>\n\n\n\n<li>Magnus R. Hestenes and Eduard Stiefel, Methods of Conjugate Gradients for Solving Linear Systems, Journal of Research of the National Bureau of Standards 49 (1952), 409\u2013436&nbsp;&nbsp;\u2013&nbsp;&nbsp;<a href=\"http:\/\/tripolis.ime.unicamp.br\/~ms993\/%5Btitle%5D\"><\/a><a href=\"http:\/\/tripolis.ime.unicamp.br\/~ms993\/%5Btitle%5D\"><\/a><a href=\"http:\/\/disciplinas.ime.unicamp.br\/ms512\/wp-content\/uploads\/sites\/8\/2023\/08\/hestenes-stiefel.pdf\">hestenes-stiefel.pdf<\/a><\/li>\n\n\n\n<li>Numerical Analysis \u2013 The Need for Numerical Computation&nbsp;&nbsp;\u2013&nbsp;&nbsp;<a href=\"http:\/\/tripolis.ime.unicamp.br\/~ms993\/%5Btitle%5D\"><\/a><a href=\"http:\/\/tripolis.ime.unicamp.br\/~ms993\/%5Btitle%5D\"><\/a><a href=\"http:\/\/disciplinas.ime.unicamp.br\/ms512\/wp-content\/uploads\/sites\/8\/2023\/08\/NAessay.pdf\">NAessay.pdf<\/a><\/li>\n\n\n\n<li><a href=\"http:\/\/www.mathcs.emory.edu\/~benzi\/Web_papers\/MBenzi-p2.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">Numerical solution of saddle point problems<\/a><\/li>\n\n\n\n<li><a href=\"http:\/\/www.mathcs.emory.edu\/~benzi\/Web_papers\/MBenzi-p1.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">Preconditioning Techniques for Large Linear Systems: A Survey<\/a><\/li>\n\n\n\n<li>Ten digit problems&nbsp;&nbsp;\u2013&nbsp;&nbsp;<a href=\"http:\/\/tripolis.ime.unicamp.br\/~ms993\/%5Btitle%5D\"><\/a><a href=\"http:\/\/tripolis.ime.unicamp.br\/~ms993\/%5Btitle%5D\"><\/a><a href=\"http:\/\/disciplinas.ime.unicamp.br\/ms512\/wp-content\/uploads\/sites\/8\/2023\/08\/Ten-digit.pdf\">Ten-digit.pdf<\/a><\/li>\n\n\n\n<li><a href=\"http:\/\/epubs.siam.org\/doi\/abs\/10.1137\/050623280?journalCode=siread&amp;\" target=\"_blank\" rel=\"noreferrer noopener\">The $25,000,000,000 Eigenvector: The Linear Algebra behind Google<\/a><\/li>\n\n\n\n<li>The definiton of numerical analysis&nbsp;&nbsp;\u2013&nbsp;&nbsp;<a href=\"http:\/\/tripolis.ime.unicamp.br\/~ms993\/%5Btitle%5D\"><\/a><a href=\"http:\/\/tripolis.ime.unicamp.br\/~ms993\/%5Btitle%5D\"><\/a><a href=\"http:\/\/disciplinas.ime.unicamp.br\/ms512\/wp-content\/uploads\/sites\/8\/2023\/08\/LIoydTrefethen.pdf\">LIoydTrefethen.pdf<\/a><\/li>\n\n\n\n<li>The loss of orthogonality in the Gram-Schmidt orthogonalization process&nbsp;&nbsp;\u2013&nbsp;&nbsp;<a href=\"http:\/\/tripolis.ime.unicamp.br\/~ms993\/%5Btitle%5D\"><\/a><a href=\"http:\/\/tripolis.ime.unicamp.br\/~ms993\/%5Btitle%5D\"><\/a><a href=\"http:\/\/disciplinas.ime.unicamp.br\/ms512\/wp-content\/uploads\/sites\/8\/2023\/08\/2005-CMA-giraud-langou-rozloznik.pdf\">2005-CMA-giraud-langou-rozloznik.pdf<\/a><\/li>\n\n\n\n<li>The QR algorithm: 50 years later its genesis by John Francis and Vera Kublanovskaya and subsequent developments&nbsp;&nbsp;\u2013&nbsp;&nbsp;<a href=\"http:\/\/tripolis.ime.unicamp.br\/~ms993\/%5Btitle%5D\"><\/a><a href=\"http:\/\/tripolis.ime.unicamp.br\/~ms993\/%5Btitle%5D\"><\/a><a href=\"http:\/\/disciplinas.ime.unicamp.br\/ms512\/wp-content\/uploads\/sites\/8\/2023\/08\/QR_50_years_later.pdf\">QR_50_years_later.pdf<\/a><\/li>\n<\/ul>\n\n\n\n<p><\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Aritm\u00e9tica de Ponto Flutuante &amp; Relatos de desastres devidos a propaga\u00e7\u00e3o de erros num\u00e9ricos<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"http:\/\/www5.in.tum.de\/~huckle\/bugse.html\" target=\"_blank\" rel=\"noreferrer noopener\">Collection of Software Bugs<\/a><\/li>\n\n\n\n<li><a href=\"http:\/\/www.cs.berkeley.edu\/~wkahan\" target=\"_blank\" rel=\"noreferrer noopener\">Sobre aritm\u00e9tica de ponto flutuante<\/a><\/li>\n\n\n\n<li><a href=\"http:\/\/www.ima.umn.edu\/~arnold\/disasters\" target=\"_blank\" rel=\"noreferrer noopener\">Some disasters attributable to bad numerical computing<\/a><\/li>\n\n\n\n<li><a href=\"http:\/\/ta.twi.tudelft.nl\/nw\/users\/vuik\/wi211\/disasters.html\" target=\"_blank\" rel=\"noreferrer noopener\">Some disasters caused by numerical errors<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Did\u00e1tica Acad\u00eamica Notas de aulas introdut\u00f3rias Linguagem de programa\u00e7\u00e3o \u00c9 v\u00e1lido reiterar que a teoria para o desenvolvimento de m\u00e9todos construtivos de aproxima\u00e7\u00e3o (algoritmos num\u00e9ricos) \u00e9 baseada em resultados matem\u00e1ticos s\u00f3lidos e que m\u00e9todos num\u00e9ricos n\u00e3o s\u00e3o dependentes de uma&nbsp;linguagem de programa\u00e7\u00e3o&nbsp;particular. Veja a seguir uma lista n\u00e3o exaustiva, e sem uma ordem de prefer\u00eancia, [&hellip;]<\/p>\n","protected":false},"author":10,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-24","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/disciplinas.ime.unicamp.br\/ms512\/wp-json\/wp\/v2\/pages\/24","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/disciplinas.ime.unicamp.br\/ms512\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/disciplinas.ime.unicamp.br\/ms512\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/disciplinas.ime.unicamp.br\/ms512\/wp-json\/wp\/v2\/users\/10"}],"replies":[{"embeddable":true,"href":"https:\/\/disciplinas.ime.unicamp.br\/ms512\/wp-json\/wp\/v2\/comments?post=24"}],"version-history":[{"count":19,"href":"https:\/\/disciplinas.ime.unicamp.br\/ms512\/wp-json\/wp\/v2\/pages\/24\/revisions"}],"predecessor-version":[{"id":117,"href":"https:\/\/disciplinas.ime.unicamp.br\/ms512\/wp-json\/wp\/v2\/pages\/24\/revisions\/117"}],"wp:attachment":[{"href":"https:\/\/disciplinas.ime.unicamp.br\/ms512\/wp-json\/wp\/v2\/media?parent=24"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}