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A Primer on PDEs: Models, Methods, Simulations

A Primer on PDEs: Models, Methods, Simulations
Catalogue Information
Field name Details
Dewey Class 515
Title A Primer on PDEs ([Ebook]) : Models, Methods, Simulations / by Sandro Salsa, Federico M. G. Vegni, Anna Zaretti, Paolo Zunino.
Author Salsa, Sandro
Added Personal Name Vegni, Federico M. G.
Zaretti, Anna
Zunino, Paolo
Other name(s) SpringerLink (Online service)
Publication Milano : Springer Milan
, 2013.
Physical Details XIV, 489 pages : online resource.
Series Unitext 2038-5714
ISBN 9788847028623
Summary Note 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.:
Contents note 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.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site http://dx.doi.org/10.1007/978-88-470-2862-3
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