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A Primer on PDEs : Models, Methods, Simulations / / by Sandro Salsa, Federico Vegni, Anna Zaretti, Paolo Zunino



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Autore: Salsa Sandro Visualizza persona
Titolo: A Primer on PDEs : Models, Methods, Simulations / / by Sandro Salsa, Federico Vegni, Anna Zaretti, Paolo Zunino Visualizza cluster
Pubblicazione: Milano : , : Springer Milan : , : Imprint : Springer, , 2013
Edizione: 1st ed. 2013.
Descrizione fisica: 1 online resource (480 p.)
Disciplina: 510
Soggetto topico: Mathematics
Partial differential equations
Mathematical analysis
Analysis (Mathematics)
Mathematics, general
Partial Differential Equations
Analysis
Persona (resp. second.): VegniFederico
ZarettiAnna
ZuninoPaolo
Note generali: Description based upon print version of record.
Nota di contenuto: Introduction -- Scalar Conservation Laws -- Diffusion -- The Laplace Equation -- Reaction-diffusion models -- Waves and vibrations -- Elements of Functional Analysis -- Variational formulation of elliptic problems -- Weak formulation of evolution problems -- Solutions -- Fourier Series -- Notes on ordinary differential equations -- Finite difference approximation of time dependent problems -- Identities and Formulas.
Sommario/riassunto: This book is designed as an advanced undergraduate or a first-year graduate course for students from various disciplines like applied mathematics, physics, engineering. It has evolved while teaching courses on partial differential equations during the last decade at the Politecnico of Milan. The main purpose of these courses was twofold: on the one hand, to train the students to appreciate the interplay between theory and modelling in problems arising in the applied sciences and on the other hand to give them a solid background for numerical methods, such as finite differences and finite elements.
Titolo autorizzato: A Primer on PDEs  Visualizza cluster
ISBN: 88-470-2862-0
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910438144603321
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Serie: La Matematica per il 3+2, . 2038-5722