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[null,"1.","Record Nr.",null,"UNINA990000090200403321"]
[null,null,"Autore",null,"Regnauld"]
[null,null,"Titolo",null,"Traité pratique de la construction des ponts et viaducs métalliques / par M. Regnauld"]
[null,null,"Pubbl/distr/stampa",null,"Paris : Dunod, 1870-"]
[null,null,"Descrizione fisica",null,"v. ; 31 cm"]
[null,null,"Disciplina",null,"624.2"]
[null,null,"Locazione",null,"FINBC"]
[null,null,"Collocazione",null,"13 AR 14 E 03"]
[null,null,"Lingua di pubblicazione",null,"Italiano"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Atlas. 35 tav. : ill."]
[null,"2.","Record Nr.",null,"UNINA9910299781803321"]
[null,null,"Autore",null,"Chekroun Mickaël D."]
[null,null,"Titolo",null,"Stochastic parameterizing manifolds and non-Markovian reduced equations : Stochastic manifolds for nonlinear SPDEs II / / by Mickaël D. Chekroun, Honghu Liu, Shouhong Wang"]
[null,null,"Pubbl/distr/stampa",null,"Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015"]
[null,null,"ISBN",null,"3-319-12520-6"]
[null,null,"Edizione",null,"[1st ed. 2015.]"]
[null,null,"Descrizione fisica",null,"1 online resource (141 p.)"]
[null,null,"Collana",null,"SpringerBriefs in Mathematics, , 2191-8198"]
[null,null,"Disciplina",null,"519.22"]
[null,null,"Soggetti",null,"Differential equations, Partial"]
[{"$nulls":4},"Dynamics"]
[{"$nulls":4},"Ergodic theory"]
[{"$nulls":4},"Probabilities"]
[{"$nulls":4},"Differential equations"]
[{"$nulls":4},"Partial Differential Equations"]
[{"$nulls":4},"Dynamical Systems and Ergodic Theory"]
[{"$nulls":4},"Probability Theory and Stochastic Processes"]
[{"$nulls":4},"Ordinary Differential Equations"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Description based upon print version of record."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"General Introduction -- Preliminaries -- Invariant Manifolds -- Pullback Characterization of Approximating, and Parameterizing Manifolds -- Non-Markovian Stochastic Reduced Equations -- On-Markovian Stochastic Reduced Equations on the Fly -- Proof of Lemma 5.1.-References -- Index."]
[null,null,null,"Sommario/riassunto","In this second volume, a general approach is developed to provide approximate parameterizations of the \"small\" scales by the \"large\" ones for a broad class of stochastic partial differential equations (SPDEs). This is accomplished via the concept of parameterizing manifolds (PMs), which are stochastic manifolds that improve, for a given realization of the noise, in mean square error the partial knowledge of the full SPDE solution when compared to its projection onto some resolved modes. Backward-forward systems are designed to give access to such PMs in practice. The key idea consists of representing the modes with high wave numbers as a pullback limit depending on the time-history of the modes with low wave numbers. Non-Markovian "]
[{"$nulls":4},"stochastic reduced systems are then derived based on such a PM approach. The reduced systems take the form of stochastic differential equations involving random coefficients that convey memory effects. The theory is illustrated on a stochastic Burgers-type equation."]