文档介绍:To Anna, my wife
Sandro Salsa
Partial Differential
Equations in Action
From Modelling
to Theory
Sandro Salsa
Dipartimento di Matematica
ico di Milano
CIP-Code: 2007938891
ISBN 978-88-470-0751-2 Springer Milan Berlin Heidelberg New York
e-ISBN 978-88-470-0752-9
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Preface
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 (PDE) during
the last few years at the ico 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 prob-
lems arising in the applied sciences, and 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, chapters 2 to 5, has a rather elementary character with the goal
of developing and studying basic problems f