Applicazioni ed esercizi di modellistica numerica per problemi differenziali / Edition 1

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More About This Textbook

Overview

Questo testo contiene una raccolta di esercizi riferiti agli argomenti tipici di un corso di metodi analitici e numerici proposto in un corso di laurea in Ingegneria o in Matematica. A partire da esercizi di analisi funzionale e di teoria dell'approssimazione, il testo sviluppa problemi legati alla risoluzione con metodi numerici di equazioni alle derivate parziali di tipo ellittico, parabolico ed iperbolico, scalari o vettoriali, in una o più dimensioni spaziali. Si affrontano quindi problemi di pura diffusione o di pura convezione, accanto a problemi di diffusione-trasporto e problemi di fluidodinamica comprimibile ed incomprimibile. Particolare enfasi viene data al metodo degli elementi finiti per la discretizzazione in spazio dei problemi considerati, anche se sono presenti esercizi sul metodo delle differenze finite e dei volumi finiti. La presenza di problemi dipendenti dal tempo giustifica l'esistenza di un capitolo di esercizi sui problemi di Cauchy e sulle principali tecniche numeriche per la loro discretizzazione. Ogni paragrafo è preceduto da un breve richiamo delle principali nozioni di teoria necessarie affinché l'allievo possa risolvere gli esercizi proposti. La risoluzione della maggior parte degli esercizi si avvale della libreria MLife, sviluppata dagli autori, in linguaggio MATLAB. Questo consente l'immediata verifica da parte degli studenti delle principali proprietà teoriche introdotte.

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Product Details

  • ISBN-13: 9788847002579
  • Publisher: Springer-Verlag New York, LLC
  • Publication date: 7/1/2005
  • Language: Italian
  • Series: UNITEXT / La Matematica per il 3+2 Series
  • Edition description: 2005
  • Edition number: 1
  • Pages: 403

Meet the Author

Gli autori sono docenti presso il Politecnico di Milano e insegnano Metodi numerici e analitici per l’ingegneria alla Facoltà di Ingegneria

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