{"id":41,"date":"2021-04-28T20:28:00","date_gmt":"2021-04-28T23:28:00","guid":{"rendered":"http:\/\/lamap.ufjf.br\/grigori\/?page_id=41"},"modified":"2022-05-04T22:04:03","modified_gmt":"2022-05-05T01:04:03","slug":"introducao-a-modelagem-matematica","status":"publish","type":"page","link":"http:\/\/lamap.ufjf.br\/grigori\/introducao-a-modelagem-matematica\/","title":{"rendered":"Introdu\u00e7\u00e3o \u00e0 Modelagem Matem\u00e1tica"},"content":{"rendered":"\n<p>(2019, 2020, 2022)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Documentos:<\/h4>\n\n\n\n<p><a href=\"https:\/\/grigori.impa.br\/data\/_uploaded\/Arquivos\/Int.%20Mod.\/Plano%20de%20Curso%202020_3%20Inrodu%C3%A7%C3%A3o%20a%20Model%C3%A1gem%20Matem%C3%A1tica.pdf\">Plano de curso ERE 2020.2<\/a><\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Livros e textos:<\/h4>\n\n\n\n<p><em>Parte 1: Modelagem.<\/em><\/p>\n\n\n\n<ul><li>C.L. Dym &amp; E.S. Ivey &#8211; Principles of Mathematical Modeling, Academic Press, 1980.<\/li><li>Samarskii, Alexander A., and Alexander P. Mikhailov. Principles of mathematical modelling: Ideas, methods,&nbsp;examples. CRC Press, 2014.Boldrini, J. L. &#8220;\u00c1lgebra Linear&#8221; (3 Edi\u00e7\u00e3o), S\u00e3o Paulo: Harbra, 1986.<\/li><li>R.B. Bird, W.E. Stewart &amp; E.N. Lightfoot, Transport Phenomena, John Wiley &amp; Sons, 1960.&nbsp;<\/li><li>Chen Z, Huan G, Ma Y. Computational methods for multiphase flows in porous media. Siam; 2006.<\/li><li>Murray, J. D. Mathematical biology: I. An Introduction, New York: Springer-Verlag New York Incorporated, 2007.<\/li><li>Murray, J.D. Mathematical biology. II Spatial models and biomedical applications. New York: Springer-Verlag&nbsp;New York Incorporated; 2001.<\/li><li>Perthame, Beno\u00eet. Transport equations in biology. Springer Science &amp; Business Media, 2006.<\/li><li>Recomendo o&nbsp;<a href=\"https:\/\/www.youtube.com\/watch?v=lWh_HxcN8sU&amp;list=PLJMXXdEk8kMAuJK5q3OOw6HPC68mZ0B3z&amp;index=3\">canal<\/a>&nbsp;do colega Prof. Bernard&nbsp;Meulenbroek (TU Delft). Este v\u00eddeo em particular trata de modelagem de fluido em meios porosos.<\/li><li><a href=\"http:\/\/dicionariodopetroleo.com.br\/\">Dicion\u00e1rio excelente<\/a>&nbsp;ajuda a traduzir os termos ligados a industria do petr\u00f3leo (ingl\u00eas-portugu\u00eas). \u00c9 uma colabora\u00e7\u00e3o de v\u00e1rias pessoas e institui\u00e7\u00f5es.<\/li><\/ul>\n\n\n\n<p><em>Parte 2: EDP, Leis de Conserva\u00e7\u00e3o<\/em>.<\/p>\n\n\n\n<ul><li>R. J. LEVEQUE, Numerical methods for conservation laws. Birkh\u00e4use Verlag, 1992.<\/li><li>C. J. VAN DUIJN, An introduction to conservation laws: theory and applications to multi-phase flow. Lecture&nbsp;notes, Delft University of Technology, 2003.<\/li><li>Rodney J. BIEZUNER,&nbsp;<a href=\"http:\/\/arquivoescolar.org\/bitstream\/arquivo-e\/151\/1\/edp.pdf\">Equa\u00e7\u00f5es Diferenciais Parciais I\/II<\/a>. Notas de Aula UFMG, 2011.<\/li><li>Recomendo assistir as aulas de &#8220;Equa\u00e7\u00f5es Diferenciais e Aplica\u00e7\u00f5es&#8221; do IMPA. (1)&nbsp;<a href=\"https:\/\/www.youtube.com\/watch?v=jm-BxF9R2ns&amp;list=PLo4jXE-LdDTR5fauR27-hJVlsrLXYUnf0\">Prof. J. Zubelli<\/a>; (2)&nbsp;<a href=\"https:\/\/www.youtube.com\/watch?v=Q_jwredY9Os\">Prof. A. Nachbin<\/a>. Uma parte da disciplina coincide com este curso, outra est\u00e1 muito al\u00e9m do n\u00edvel de mestrado.<\/li><\/ul>\n\n\n\n<p><em>Parte 3: Algumas Aplica\u00e7\u00f5es<\/em><em>.<\/em><\/p>\n\n\n\n<ul><li>&#8220;Filtration combustion&#8221; &#8211; veja artigos na parte pesquisa.<\/li><li>Din\u00e2mica populacional.<\/li><\/ul>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Listas de exerc\u00edcios:<\/strong><\/h4>\n\n\n\n<p>A entrega das listas n\u00e3o \u00e9 obrigat\u00f3ria. Quem for entregar, por favor, digite em LaTex, coloque bibliografia utilizada. Por favor, me envie o .tex tamb\u00e9m.<\/p>\n\n\n\n<ol><li><a href=\"https:\/\/grigori.impa.br\/data\/_uploaded\/Arquivos\/Int.%20Mod.\/Lista_2019.pdf\">Lista de quest\u00f5es b\u00f4nus 1.<\/a>&nbsp;Entregar em at\u00e9 duas semanas depois da primeira prova.<\/li><li><a href=\"https:\/\/grigori.impa.br\/data\/_uploaded\/Arquivos\/Int.%20Mod.\/Lista_2019b.pdf\">Lista de quest\u00f5es b\u00f4nus 2.<\/a>&nbsp;Entregar em at\u00e9 duas semanas depois da segunda prova.<\/li><li>Dicas para quest\u00f5es de Leveque:<ol><li>Q. 3.2 &#8211; Resolva usando Ondas Viajantes. Do outro jeito precisa saber solu\u00e7\u00e3o da equa\u00e7\u00e3o de calor e calcular limite no sentido de distribui\u00e7\u00f5es.<\/li><li>Q. 7.3 &#8211; Cuidado para n\u00e3o dividir por zero.&nbsp;<\/li><\/ol><\/li><\/ol>\n\n\n\n<h4 class=\"wp-block-heading\">1\u00aa Avalia\u00e7\u00e3o:<\/h4>\n\n\n\n<ul><li><strong>Mat\u00e9ria:<\/strong>&nbsp;Indrodu\u00e7\u00e3o \u00e0s LdC, Sistemas lineares de LdC.<\/li><li><strong>Data:&nbsp;<\/strong>??.<\/li><\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">2\u00aa Avalia\u00e7\u00e3o:<\/h4>\n\n\n\n<ul><li><strong>Mat\u00e9ria:<\/strong>&nbsp;Conte\u00fado da 1\u00aa avalia\u00e7\u00e3o e Sistemas n\u00e3o lineares de LdC.<\/li><li><strong>Data<\/strong>:??.<\/li><\/ul>\n","protected":false},"excerpt":{"rendered":"<p>(2019, 2020, 2022) Documentos: Plano de curso ERE 2020.2 Livros e textos: Parte 1: Modelagem. C.L. Dym &amp; E.S. Ivey &#8211; Principles of Mathematical Modeling, Academic Press, 1980. Samarskii, Alexander A., and Alexander P. Mikhailov. Principles of mathematical modelling: Ideas, methods,&nbsp;examples. CRC Press, 2014.Boldrini, J. L. &#8220;\u00c1lgebra Linear&#8221; (3 Edi\u00e7\u00e3o), S\u00e3o Paulo: Harbra, 1986. R.B. &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"http:\/\/lamap.ufjf.br\/grigori\/introducao-a-modelagem-matematica\/\"> <span class=\"screen-reader-text\">Introdu\u00e7\u00e3o \u00e0 Modelagem Matem\u00e1tica<\/span> Leia mais &raquo;<\/a><\/p>\n","protected":false},"author":7,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_uag_custom_page_level_css":"","site-sidebar-layout":"default","site-content-layout":"default","ast-global-header-display":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","footnotes":""},"uagb_featured_image_src":{"full":false,"thumbnail":false,"medium":false,"medium_large":false,"large":false,"1536x1536":false,"2048x2048":false},"uagb_author_info":{"display_name":"grigorichapiro","author_link":"http:\/\/lamap.ufjf.br\/grigori\/author\/grigorichapiro\/"},"uagb_comment_info":0,"uagb_excerpt":"(2019, 2020, 2022) Documentos: Plano de curso ERE 2020.2 Livros e textos: Parte 1: Modelagem. C.L. Dym &amp; E.S. Ivey &#8211; Principles of Mathematical Modeling, Academic Press, 1980. Samarskii, Alexander A., and Alexander P. Mikhailov. Principles of mathematical modelling: Ideas, methods,&nbsp;examples. CRC Press, 2014.Boldrini, J. L. &#8220;\u00c1lgebra Linear&#8221; (3 Edi\u00e7\u00e3o), S\u00e3o Paulo: Harbra, 1986. R.B.&hellip;","_links":{"self":[{"href":"http:\/\/lamap.ufjf.br\/grigori\/wp-json\/wp\/v2\/pages\/41"}],"collection":[{"href":"http:\/\/lamap.ufjf.br\/grigori\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/lamap.ufjf.br\/grigori\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/lamap.ufjf.br\/grigori\/wp-json\/wp\/v2\/users\/7"}],"replies":[{"embeddable":true,"href":"http:\/\/lamap.ufjf.br\/grigori\/wp-json\/wp\/v2\/comments?post=41"}],"version-history":[{"count":4,"href":"http:\/\/lamap.ufjf.br\/grigori\/wp-json\/wp\/v2\/pages\/41\/revisions"}],"predecessor-version":[{"id":236,"href":"http:\/\/lamap.ufjf.br\/grigori\/wp-json\/wp\/v2\/pages\/41\/revisions\/236"}],"wp:attachment":[{"href":"http:\/\/lamap.ufjf.br\/grigori\/wp-json\/wp\/v2\/media?parent=41"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}