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A Primer on PDEs: Models, Methods, Simulations
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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
Links to Related Works
Subject References:
Analysis
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Differential equations, Partial
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Global analysis (Mathematics)
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Mathematics
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Mathematics, general
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Partial differential equations
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Authors:
author
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Salsa, Sandro
.
Vegni, Federico M. G.
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Zaretti, Anna
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Zunino, Paolo
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Corporate Authors:
SpringerLink (Online service)
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Series:
Unitext
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Classification:
515
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515 (DDC 23)
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