Partial differential equations in action [electronic resource] : from modelling to theory / Sandro Salsa.
Salsa, S., author.
2015
QA374
Available Online

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Title Partial differential equations in action [electronic resource] : from modelling to theory / Sandro Salsa.
Author Salsa, S., author.
Edition Second edition.
ISBN 9783319150932 electronic book
3319150936 electronic book
9783319150925
DOI https://doi.org/10.1007/978-3-319-15093-2
Published Cham : Springer, 2015.
Language English
Description 1 online resource (xviii, [697] pages) : illustrations.
Item Number 10.1007/978-3-319-15093-2 doi
Call Number QA374
Dewey Decimal Classification 515.353
Summary The book is intended as an advanced undergraduate or first-year graduate course for students from various disciplines, including applied mathematics, physics and engineering. It has evolved from courses offered on partial differential equations (PDEs) over the last several years at the Politecnico di Milano. These courses had a twofold purpose: on the one hand, to teach students to appreciate the interplay between theory and modeling in problems arising in the applied sciences, and on the other to provide them with a solid theoretical background in numerical methods, such as finite elements. Accordingly, this textbook is divided into two parts. The first part, chapters 2 to 5, is more elementary in nature and focuses on developing and studying basic problems from the macro-areas of diffusion, propagation and transport, waves and vibrations. In turn the second part, chapters 6 to 11, concentrates on the development of Hilbert spaces methods for the variational formulation and the analysis of (mainly) linear boundary and initial-boundary value problems.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed April 29, 2015).
Series Unitext ; volume 86.
Available in Other Form Print version: 9783319150925
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Record Appears in Online Resources > Ebooks
All Resources
1 Introduction
2 Diffusion
3 The Laplace Equation
4 Scalar Conservation Laws and First Order Equations
5 Waves and vibrations
6 Elements of Functional Analysis
7 Distributions and Sobolev Spaces
8 Variational formulation of elliptic problems
9 Further Applications
10 Weak Formulation of Evolution Problems
11 Systems of Conservation Laws
12 A Fourier Series
13 B Measures and Integrals
14 C Identities and Formulas.

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