{"id":497,"date":"2017-07-28T14:58:18","date_gmt":"2017-07-28T12:58:18","guid":{"rendered":"https:\/\/iste.yhello.co\/product\/methodes-numeriques-pour-les-problemes-inverses\/"},"modified":"2024-01-03T13:40:18","modified_gmt":"2024-01-03T13:40:18","slug":"methodes-numeriques-pour-les-problemes-inverses","status":"publish","type":"product","link":"https:\/\/www.istegroup.com\/en\/produit\/methodes-numeriques-pour-les-problemes-inverses\/","title":{"rendered":"M\u00e9thodes num\u00e9riques pour les probl\u00e8mes inverses"},"content":{"rendered":"

Les probl\u00e8mes inverses sont omnipr\u00e9sents dans les sciences et l\u2019ing\u00e9nierie. Ils se rencontrent \u00e0 chaque fois que l\u2019on cherche les causes ayant produit un effet connu ou que l\u2019on veut d\u00e9terminer l\u2019\u00e9tat d\u2019un syst\u00e8me \u00e0 partir de mesures indirectes. Dans ces probl\u00e8mes, dits \u00ab mal pos\u00e9s \u00bb, la solution ne d\u00e9pend pas contin\u00fbment des donn\u00e9es, ce qui a pour cons\u00e9quence une grande sensibilit\u00e9 aux erreurs exp\u00e9rimentales.<\/p>\n

Cet ouvrage pr\u00e9sente les m\u00e9thodes les plus commun\u00e9ment utilis\u00e9es pour analyser les probl\u00e8mes inverses, et particuli\u00e8rement les techniques num\u00e9riques permettant de r\u00e9tablir une certaine continuit\u00e9 par rapport aux donn\u00e9es. La premi\u00e8re partie introduit la r\u00e9gularisation des probl\u00e8mes mal pos\u00e9s, tels que les \u00e9quations int\u00e9grales de premi\u00e8re esp\u00e8ce, et pr\u00e9sente la d\u00e9composition en valeurs singuli\u00e8res comme outil d\u2019analyse essentiel. La deuxi\u00e8me partie traite des probl\u00e8mes d\u2019estimation de param\u00e8tres dans les \u00e9quations aux d\u00e9riv\u00e9es partielles, avec comme outil principal la formulation sous forme de moindres carr\u00e9s sur l\u2019erreur d\u2019observation, en insistant sur la m\u00e9thode de l\u2019\u00e9tat adjoint.<\/p>\n","protected":false},"excerpt":{"rendered":"

Les probl\u00e8mes inverses sont omnipr\u00e9sents dans les sciences et l\u2019ing\u00e9nierie. Ils se rencontrent \u00e0 chaque fois que l\u2019on cherche les causes ayant produit un effet connu ou que l\u2019on veut d\u00e9terminer l\u2019\u00e9tat d\u2019un syst\u00e8me \u00e0 partir de mesures indirectes. Dans ces probl\u00e8mes, dits \u00ab mal pos\u00e9s \u00bb, la solution ne d\u00e9pend pas contin\u00fbment des donn\u00e9es, […]<\/p>\n","protected":false},"featured_media":498,"template":"","meta":{"_acf_changed":false,"_links_to":"","_links_to_target":""},"product_brand":[],"product_cat":[671],"product_tag":[1953,318,31,196,1963,1954,1955,117,197,198,199,21,200,22,201,203,204,63,25,172,209,1958,1959,1956,1957,1960,212,38,192,145,28,1961,1962],"class_list":{"0":"post-497","1":"product","2":"type-product","3":"status-publish","4":"has-post-thumbnail","6":"product_cat-mathmatiques-et-statistiques-12506494","7":"product_tag-analyse-essentiel","8":"product_tag-calcul-scientifique","9":"product_tag-ebook","10":"product_tag-ebooks","11":"product_tag-equations-integrales","12":"product_tag-erreur-dobservation","13":"product_tag-erreurs-experimentales","14":"product_tag-ingenierie","15":"product_tag-iste","16":"product_tag-iste-edition","17":"product_tag-iste-editions","18":"product_tag-iste-group","19":"product_tag-isteedition","20":"product_tag-istegroup","21":"product_tag-kindle","22":"product_tag-liseuse","23":"product_tag-livre","24":"product_tag-livre-electronique","25":"product_tag-livre-numerique","26":"product_tag-livre-scientifique","27":"product_tag-livres-scientifiques","28":"product_tag-methodes-numeriques","29":"product_tag-methodes-numeriques-pour-les-problemes-inverses","30":"product_tag-michel-kern","31":"product_tag-moindres-carres-lineaires","32":"product_tag-operateurs-integraux","33":"product_tag-ouvrage","34":"product_tag-ouvrage-numerique","35":"product_tag-ouvrage-science","36":"product_tag-ouvrage-scientifique","37":"product_tag-ouvrage-scientifique-francais","38":"product_tag-problemes-inverses","39":"product_tag-problemes-inverses-lineaires","41":"first","42":"instock","43":"shipping-taxable","44":"purchasable","45":"product-type-variable"},"acf":[],"yoast_head":"\nM\u00e9thodes num\u00e9riques pour les probl\u00e8mes inverses - 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