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Partial Differential Equations in Action

From Modelling to Theory

  • Sandro┬áSalsa

Part of the UNITEXT book series (UNITEXT, volume 99)

Also part of the La Matematica per il 3+2 book sub series (UNITEXTMAT, volume 99)

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Sandro Salsa
    Pages 1-16
  3. Sandro Salsa
    Pages 17-114
  4. Sandro Salsa
    Pages 115-178
  5. Sandro Salsa
    Pages 259-346
  6. Sandro Salsa
    Pages 347-426
  7. Sandro Salsa
    Pages 427-504
  8. Sandro Salsa
    Pages 551-580
  9. Sandro Salsa
    Pages 581-614
  10. Sandro Salsa
    Pages 615-656
  11. Back Matter
    Pages 657-686

About this book

Introduction

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.

Keywords

Analysis Boundary value problems Hilbert spaces method Modelling PDE

Authors and affiliations

  • Sandro┬áSalsa
    • 1
  1. 1.Dipartimento di MatematicaPolitecnico di MilanoMilanoItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-31238-5
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-31237-8
  • Online ISBN 978-3-319-31238-5
  • Series Print ISSN 2038-5714
  • Buy this book on publisher's site