03737nam a22004575i 4500
978-88-470-0752-9
DE-He213
20181204133148.0
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100301s2009 it | s |||| 0|eng d
9788847007529
978-88-470-0752-9
10.1007/978-88-470-0752-9
doi
ISI Library, Kolkata
QA370-380
PBKJ
bicssc
MAT007000
bisacsh
PBKJ
thema
515.353
23
Salsa, Sandro.
author.
aut
http://id.loc.gov/vocabulary/relators/aut
Partial Differential Equations in Action
[electronic resource] :
From Modelling to Theory /
by Sandro Salsa.
Milano :
Springer Milan,
2009.
XV, 556 p.
online resource.
text
txt
rdacontent
computer
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rdamedia
online resource
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text file
PDF
rda
Universitext,
0172-5939
Diffusion -- The Laplace Equation -- Scalar Conservation Laws and First Order Equations -- Waves and Vibrations -- Elements of Functional Analysis -- Distributions and Sobolev Spaces -- Variational Formulation of Elliptic Problems -- Weak Formulation of Evolution Problems.
This book is designed as an advanced undergraduate or a first-year graduate course for students from various disciplines like applied mathematics, physics, engineering. The main purpose is on the one hand to train the students to appreciate the interplay between theory and modelling in problems arising in the applied sciences; on the other hand to give them a solid theoretical background for numerical methods, such as finite elements. Accordingly, this textbook is divided into two parts. The first one has a rather elementary character with the goal of developing and studying basic problems from the macro-areas of diffusion, propagation and transport, waves and vibrations. Ideas and connections with concrete aspects are emphasized whenever possible, in order to provide intuition and feeling for the subject. For this part, a knowledge of advanced calculus and ordinary differential equations is required. Also, the repeated use of the method of separation of variables assumes some basic results from the theory of Fourier series, which are summarized in an appendix. The main topic of the second part is the development of Hilbert space methods for the variational formulation and analysis of linear boundary and initial-boundary value problems\emph{. }% Given the abstract nature of these chapters, an effort has been made to provide intuition and motivation for the various concepts and results. The understanding of these topics requires some basic knowledge of Lebesgue measure and integration, summarized in another appendix. At the end of each chapter, a number of exercises at different level of complexity is included. The most demanding problems are supplied with answers or hints. The exposition if flexible enough to allow substantial changes without compromising the comprehension and to facilitate a selection of topics for a one or two semester course.
Differential equations, partial.
Partial Differential Equations.
http://scigraph.springernature.com/things/product-market-codes/M12155
SpringerLink (Online service)
Springer eBooks
Printed edition:
9788847010512
Printed edition:
9788847007512
Universitext,
0172-5939
https://doi.org/10.1007/978-88-470-0752-9
ZDB-2-SMA
EB
Mathematics and Statistics (Springer-11649)
426295
426295