{"id":349,"date":"2017-07-28T12:10:41","date_gmt":"2017-07-28T10:10:41","guid":{"rendered":"https:\/\/iste.yhello.co\/product\/la-methode-de-factorisation-des-problemes-aux-limites-par-plongement-invariant\/"},"modified":"2024-01-03T13:39:33","modified_gmt":"2024-01-03T13:39:33","slug":"la-methode-de-factorisation-des-problemes-aux-limites-par-plongement-invariant","status":"publish","type":"product","link":"https:\/\/www.istegroup.com\/en\/produit\/la-methode-de-factorisation-des-problemes-aux-limites-par-plongement-invariant\/","title":{"rendered":"La m\u00e9thode de factorisation des probl\u00e8mes aux limites par plongement invariant"},"content":{"rendered":"

Cet ouvrage pr\u00e9sente une nouvelle formulation \u00e9quivalente, dite \u00ab factoris\u00e9e \u00bb, pour des probl\u00e8mes aux limites pour des \u00e9quations aux d\u00e9riv\u00e9es partielles lin\u00e9aires elliptiques : il reprend pour cela la m\u00e9thode du plongement invariant de Richard Bellman, bien connue pour obtenir la synth\u00e8se du contr\u00f4le optimal en boucle ferm\u00e9e, et l\u2019applique \u00e0 la r\u00e9solution des probl\u00e8mes aux limites, mais spatialement. On obtient ainsi une formulation compos\u00e9e de deux probl\u00e8mes de Cauchy d\u00e9coupl\u00e9s ainsi qu\u2019une \u00e9quation de Riccati pour des op\u00e9rateurs de type Dirichlet-Neumann.<\/p>\n

Apr\u00e8s avoir pr\u00e9sent\u00e9 et justifi\u00e9 le calcul formel de factorisation sur un \u00ab cas mod\u00e8le \u00bb volontairement simple, le domaine d\u2019utilisation de cette m\u00e9thode est explor\u00e9, et notamment son application dans des situations plus complexes. Ainsi, sur une version discr\u00e9tis\u00e9e du probl\u00e8me, le lien est \u00e9tabli entre le plongement invariant et la factorisation de Gauss.<\/p>\n

Enfin, l\u2019ouvrage \u00e9tudie la fa\u00e7on dont la m\u00e9thode de factorisation peut s\u2019\u00e9tendre \u00e0 d\u2019autres \u00e9quations lin\u00e9aires classiques de type elliptique et \u00e0 la factorisation QR.<\/p>\n","protected":false},"excerpt":{"rendered":"

Cet ouvrage pr\u00e9sente une nouvelle formulation \u00e9quivalente, dite \u00ab factoris\u00e9e \u00bb, pour des probl\u00e8mes aux limites pour des \u00e9quations aux d\u00e9riv\u00e9es partielles lin\u00e9aires elliptiques : il reprend pour cela la m\u00e9thode du plongement invariant de Richard Bellman, bien connue pour obtenir la synth\u00e8se du contr\u00f4le optimal en boucle ferm\u00e9e, et l\u2019applique \u00e0 la r\u00e9solution des […]<\/p>\n","protected":false},"featured_media":350,"template":"","meta":{"_acf_changed":false,"_links_to":"","_links_to_target":""},"product_brand":[],"product_cat":[671,675],"product_tag":[1532,1533,1534,31,196,1545,1535,1536,1537,1538,197,198,199,21,200,22,1539,201,1540,203,204,63,25,172,209,1541,212,38,192,145,28,1542,1543,1544],"class_list":{"0":"post-349","1":"product","2":"type-product","3":"status-publish","4":"has-post-thumbnail","6":"product_cat-mathmatiques-et-statistiques-12506494","7":"product_cat-nouveauts-12519446","8":"product_tag-angel-manuel-ramos","9":"product_tag-controle-optimal","10":"product_tag-dirichlet-neumann","11":"product_tag-ebook","12":"product_tag-ebooks","13":"product_tag-equation-de-riccati","14":"product_tag-factorisation","15":"product_tag-factorisation-qr","16":"product_tag-factorisee","17":"product_tag-gauss","18":"product_tag-iste","19":"product_tag-iste-edition","20":"product_tag-iste-editions","21":"product_tag-iste-group","22":"product_tag-isteedition","23":"product_tag-istegroup","24":"product_tag-jacques-henry","25":"product_tag-kindle","26":"product_tag-la-methode-de-factorisation-des-problemes-aux-limites-par-plongement-invariant","27":"product_tag-liseuse","28":"product_tag-livre","29":"product_tag-livre-electronique","30":"product_tag-livre-numerique","31":"product_tag-livre-scientifique","32":"product_tag-livres-scientifiques","33":"product_tag-mathematiques-et-statistiques","34":"product_tag-ouvrage","35":"product_tag-ouvrage-numerique","36":"product_tag-ouvrage-science","37":"product_tag-ouvrage-scientifique","38":"product_tag-ouvrage-scientifique-francais","39":"product_tag-partielles-lineaires-elliptiques","40":"product_tag-plongement-invariant","41":"product_tag-type-elliptique","43":"first","44":"instock","45":"shipping-taxable","46":"purchasable","47":"product-type-variable"},"acf":[],"yoast_head":"\nLa m\u00e9thode de factorisation des probl\u00e8mes aux limites par plongement invariant - 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