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Partial Differential Equations in Action

From Modelling to Theory

  • Sandro┬áSalsa

Part of the UNITEXT book series (UNITEXT, volume 86)

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 257-343
  6. Sandro Salsa
    Pages 345-424
  7. Sandro Salsa
    Pages 425-501
  8. Sandro Salsa
    Pages 549-578
  9. Sandro Salsa
    Pages 579-616
  10. Sandro Salsa
    Pages 617-658
  11. Sandro Salsa
    Pages 698-698
  12. Sandro Salsa
    Pages 698-698
  13. Sandro Salsa
    Pages 698-698
  14. Sandro Salsa
    Pages 699-699
  15. Sandro Salsa
    Pages 701-701
  16. Sandro Salsa
    Pages 701-701
  17. Back Matter
    Pages 659-697

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/10.1007/978-3-319-15093-2
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-15092-5
  • Online ISBN 978-3-319-15093-2
  • Series Print ISSN 2038-5714
  • Buy this book on publisher's site
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