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Modellistica Numerica per Problemi Differenziali

Author: Alfio Quarteroni
Publisher: Milan : Springer, 2012.
Series: Unitext.
Edition/Format:   eBook : Document : Italian : 5a edizioneView all editions and formats
Summary:
AVVISO IMPORTANTE! Springer desidera informare i propri lettori che stata sostituita l'edizione del volume con ISBN 978-88-470-2747-3 (fallata a causa di un errore generato da Springer in fase di compilazione dei file LateX forniti dall'Autore) con l'edizione corretta dotata del NUOVO ISBN 978-88-470-5255-0. Ci scusiamo con tutti i nostri lettori, e con l'Autore, per il disagio. In questo testo si introducono i  Read more...
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Details

Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Alfio Quarteroni
ISBN: 9788847027480 8847027489
OCLC Number: 856996357
Language Note: Italian.
Description: 1 online resource (xvii, 635 pages)
Contents: Richiami sulle equazioni alle derivate parziali --
Richiami di analisi funzionale --
Equazioni di tipo ellittico --
Il metodo di Galerkin-elementi finiti per problemi ellittici --
Equazioni paraboliche --
Generazione di griglie in 1D e 2D --
Algoritmi di risoluzione di sistemi lineari --
Cenni di programmazione degli elementi finiti --
Il metodo dei volumi finiti --
I metodi spettrali --
Metodi con elementi discontinui --
Equazioni di diffusione-trasporto-reazione --
Differenze finite per equazioni iperboliche --
Elementi finiti e metodi spettrali per equazioni iperboliche --
Cenni a problemi iperbolici non lineari --
Le equazioni di Navier-Stokes --
Introduzione al controllo ottimale per equazioni a derivate parziali --
Il metodo di decomposizione dei domini.
Series Title: Unitext.
Responsibility: Alfio Quarteroni.

Abstract:

AVVISO IMPORTANTE! Springer desidera informare i propri lettori che stata sostituita l'edizione del volume con ISBN 978-88-470-2747-3 (fallata a causa di un errore generato da Springer in fase di compilazione dei file LateX forniti dall'Autore) con l'edizione corretta dotata del NUOVO ISBN 978-88-470-5255-0. Ci scusiamo con tutti i nostri lettori, e con l'Autore, per il disagio. In questo testo si introducono i concetti di base per la modellistica numerica di problemi differenziali alle derivate parziali. Si considerano le classiche equazioni lineari ellittiche, paraboliche ed iperboliche, ma anche altre equazioni, quali quelle di diffusione e trasporto, di Navier-Stokes e le leggi di conservazione; si forniscono inoltre numerosi esempi fisici che stanno alla base di tali equazioni. Quindi si analizzano metodi di risoluzione numerica basati su elementi finiti (continui e discontinui), differenze finite, volumi finiti, metodi spettrali (continui e discontinui), nonche strategie di approssimazione piu avanzate basate sui metodi di decomposizione di domini o quelli di risoluzione di problemi di controllo ottimale. In particolare vengono discussi gli aspetti algoritmici e di implementazione al calcolatore e si forniscono diversi programmi di semplice utilizzo. Il testo non presuppone una approfondita conoscenza matematica delle equazioni alle derivate parziali: i concetti rigorosamente indispensabili al riguardo sono riportati nell'Appendice. Esso pertanto adatto agli studenti dei corsi di laurea di indirizzo scientifico (Ingegneria, Matematica, Fisica, Scienze dell'Informazione) e consigliabile a ricercatori del mondo accademico ed extra-accademico che vogliano avvicinarsi a questo interessante ramo della matematica applicata e delle scienze computazionali.

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\n\n

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Springer desidera informare i propri lettori che stata sostituita l\'edizione del volume con ISBN 978-88-470-2747-3 (fallata a causa di un errore generato da Springer in fase di compilazione dei file LateX forniti dall\'Autore) con l\'edizione corretta dotata del NUOVO ISBN 978-88-470-5255-0. Ci scusiamo con tutti i nostri lettori, e con l\'Autore, per il disagio. In questo testo si introducono i concetti di base per la modellistica numerica di problemi differenziali alle derivate parziali. Si considerano le classiche equazioni lineari ellittiche, paraboliche ed iperboliche, ma anche altre equazioni, quali quelle di diffusione e trasporto, di Navier-Stokes e le leggi di conservazione; si forniscono inoltre numerosi esempi fisici che stanno alla base di tali equazioni. Quindi si analizzano metodi di risoluzione numerica basati su elementi finiti (continui e discontinui), differenze finite, volumi finiti, metodi spettrali (continui e discontinui), nonche strategie di approssimazione piu avanzate basate sui metodi di decomposizione di domini o quelli di risoluzione di problemi di controllo ottimale. In particolare vengono discussi gli aspetti algoritmici e di implementazione al calcolatore e si forniscono diversi programmi di semplice utilizzo. Il testo non presuppone una approfondita conoscenza matematica delle equazioni alle derivate parziali: i concetti rigorosamente indispensabili al riguardo sono riportati nell\'Appendice. Esso pertanto adatto agli studenti dei corsi di laurea di indirizzo scientifico (Ingegneria, Matematica, Fisica, Scienze dell\'Informazione) e consigliabile a ricercatori del mondo accademico ed extra-accademico che vogliano avvicinarsi a questo interessante ramo della matematica applicata e delle scienze computazionali.<\/span>\" ;\u00A0\u00A0\u00A0\nschema:exampleOfWork<\/a> <http:\/\/worldcat.org\/entity\/work\/id\/38073106<\/a>> ;\u00A0\u00A0\u00A0\nschema:genre<\/a> \"Electronic books<\/span>\" ;\u00A0\u00A0\u00A0\nschema:inLanguage<\/a> \"it<\/span>\" ;\u00A0\u00A0\u00A0\nschema:isPartOf<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/38073106#Series\/unitext<\/a>> ; # Unitext.<\/span>\n\u00A0\u00A0\u00A0\nschema:isPartOf<\/a> <http:\/\/worldcat.org\/issn\/2038-5714<\/a>> ; # Collana Unitext,<\/span>\n\u00A0\u00A0\u00A0\nschema:isSimilarTo<\/a> <http:\/\/worldcat.org\/entity\/work\/data\/38073106#CreativeWork\/<\/a>> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Modellistica Numerica per Problemi Differenziali<\/span>\" ;\u00A0\u00A0\u00A0\nschema:productID<\/a> \"856996357<\/span>\" ;\u00A0\u00A0\u00A0\nschema:url<\/a> <http:\/\/www.library.yorku.ca\/e\/resolver\/id\/2497183<\/a>> ;\u00A0\u00A0\u00A0\nschema:url<\/a> <https:\/\/link.springer.com\/book\/10.1007\/978-88-470-5255-0<\/a>> ;\u00A0\u00A0\u00A0\nschema:url<\/a> <https:\/\/doi.org\/10.1007\/978-88-470-2748-0<\/a>> ;\u00A0\u00A0\u00A0\nschema:url<\/a> <http:\/\/public.eblib.com\/choice\/PublicFullRecord.aspx?p=6220497<\/a>> ;\u00A0\u00A0\u00A0\nschema:url<\/a> <http:\/\/www.library.yorku.ca\/e\/resolver\/id\/2497184<\/a>> ;\u00A0\u00A0\u00A0\nschema:url<\/a> <http:\/\/dx.doi.org.ezproxy.aub.edu.lb\/10.1007\/978-88-470-2748-0<\/a>> ;\u00A0\u00A0\u00A0\nschema:url<\/a> <http:\/\/books.scholarsportal.info\/viewdoc.html?id=\/ebooks\/ebooks3\/springer\/2013-09-20\/1\/9788847027480<\/a>> ;\u00A0\u00A0\u00A0\nschema:workExample<\/a> <http:\/\/worldcat.org\/isbn\/9788847027480<\/a>> ;\u00A0\u00A0\u00A0\nschema:workExample<\/a> <http:\/\/dx.doi.org\/10.1007\/978-88-470-2748-0<\/a>> ;\u00A0\u00A0\u00A0\nwdrs:describedby<\/a> <http:\/\/www.worldcat.org\/title\/-\/oclc\/856996357<\/a>> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n\n

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<http:\/\/dx.doi.org\/10.1007\/978-88-470-2748-0<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:IndividualProduct<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
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<http:\/\/experiment.worldcat.org\/entity\/work\/data\/38073106#Series\/unitext<\/a>> # Unitext.<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nbgn:PublicationSeries<\/a> ;\u00A0\u00A0\u00A0\nschema:hasPart<\/a> <http:\/\/www.worldcat.org\/oclc\/856996357<\/a>> ; # Modellistica Numerica per Problemi Differenziali<\/span>\n\u00A0\u00A0\u00A0\nschema:name<\/a> \"Unitext.<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/38073106#Topic\/analyse<\/a>> # analyse<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"analyse<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/38073106#Topic\/analysis<\/a>> # analysis<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"analysis<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Analysis<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/38073106#Topic\/applications_of_mathematics<\/a>> # Applications of Mathematics<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Applications of Mathematics<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/38073106#Topic\/applied_mathematics<\/a>> # applied mathematics<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"applied mathematics<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/38073106#Topic\/calculus<\/a>> # Calculus<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Calculus<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/38073106#Topic\/computational_mathematics<\/a>> # computational mathematics<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"computational mathematics<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/38073106#Topic\/computational_mathematics_and_numerical_analysis<\/a>> # Computational Mathematics and Numerical Analysis<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Computational Mathematics and Numerical Analysis<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/38073106#Topic\/computerwiskunde<\/a>> # computerwiskunde<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"computerwiskunde<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/38073106#Topic\/mathematical_analysis<\/a>> # Mathematical analysis<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Mathematical analysis<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/38073106#Topic\/mathematical_modeling_and_industrial_mathematics<\/a>> # Mathematical Modeling and Industrial Mathematics<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Mathematical Modeling and Industrial Mathematics<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/38073106#Topic\/mathematical_models<\/a>> # mathematical models<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"mathematical models<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/38073106#Topic\/mathematics<\/a>> # mathematics<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"mathematics<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Mathematics<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/38073106#Topic\/mathematics_general<\/a>> # Mathematics (General)<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Mathematics (General)<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/38073106#Topic\/numerical_analysis<\/a>> # Numerical Analysis<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Numerical Analysis<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/38073106#Topic\/numerical_mathematics<\/a>> # numerical mathematics<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"numerical mathematics<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/38073106#Topic\/numerical_methods<\/a>> # numerical methods<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"numerical methods<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/38073106#Topic\/numerieke_methoden<\/a>> # numerieke methoden<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"numerieke methoden<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/38073106#Topic\/numerieke_wiskunde<\/a>> # numerieke wiskunde<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"numerieke wiskunde<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/38073106#Topic\/toegepaste_wiskunde<\/a>> # toegepaste wiskunde<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"toegepaste wiskunde<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/38073106#Topic\/wiskunde<\/a>> # wiskunde<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"wiskunde<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/38073106#Topic\/wiskunde_algemeen<\/a>> # Wiskunde (algemeen)<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Wiskunde (algemeen)<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/38073106#Topic\/wiskundige_modellen<\/a>> # wiskundige modellen<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"wiskundige modellen<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/id.loc.gov\/vocabulary\/countries\/it<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:Place<\/a> ;\u00A0\u00A0\u00A0\ndcterms:identifier<\/a> \"it<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/public.eblib.com\/choice\/PublicFullRecord.aspx?p=6220497<\/a>>\u00A0\u00A0\u00A0\nrdfs:comment<\/a> \"Click here to view book<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/viaf.org\/viaf\/9941370<\/a>> # Alfio Quarteroni<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Person<\/a> ;\u00A0\u00A0\u00A0\nschema:familyName<\/a> \"Quarteroni<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"Alfio<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Alfio Quarteroni<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/worldcat.org\/entity\/work\/data\/38073106#CreativeWork\/<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:CreativeWork<\/a> ;\u00A0\u00A0\u00A0\nschema:isSimilarTo<\/a> <http:\/\/www.worldcat.org\/oclc\/856996357<\/a>> ; # Modellistica Numerica per Problemi Differenziali<\/span>\n\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/worldcat.org\/isbn\/9788847027480<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:ProductModel<\/a> ;\u00A0\u00A0\u00A0\nschema:isbn<\/a> \"8847027489<\/span>\" ;\u00A0\u00A0\u00A0\nschema:isbn<\/a> \"9788847027480<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/worldcat.org\/issn\/2038-5714<\/a>> # Collana Unitext,<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nbgn:PublicationSeries<\/a> ;\u00A0\u00A0\u00A0\nschema:hasPart<\/a> <http:\/\/www.worldcat.org\/oclc\/856996357<\/a>> ; # Modellistica Numerica per Problemi Differenziali<\/span>\n\u00A0\u00A0\u00A0\nschema:issn<\/a> \"2038-5714<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Collana Unitext,<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n