A Primer on PDEs

Models, Methods, Simulations

  • Sandro Salsa
  • Federico M. G. Vegni
  • Anna Zaretti
  • Paolo Zunino

Part of the UNITEXT book series (UNITEXT)

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

Table of contents

  1. Front Matter
    Pages I-XIV
  2. Introduction

    1. Sandro Salsa, Federico M. G. Vegni, Anna Zaretti, Paolo Zunino
      Pages 1-13
  3. Differential Models

    1. Front Matter
      Pages 15-15
    2. Sandro Salsa, Federico M. G. Vegni, Anna Zaretti, Paolo Zunino
      Pages 17-58
    3. Sandro Salsa, Federico M. G. Vegni, Anna Zaretti, Paolo Zunino
      Pages 59-108
    4. Sandro Salsa, Federico M. G. Vegni, Anna Zaretti, Paolo Zunino
      Pages 109-138
    5. Sandro Salsa, Federico M. G. Vegni, Anna Zaretti, Paolo Zunino
      Pages 139-188
    6. Sandro Salsa, Federico M. G. Vegni, Anna Zaretti, Paolo Zunino
      Pages 189-240
  4. Functional Analysis Techniques for Differential Problems

    1. Front Matter
      Pages 241-241
    2. Sandro Salsa, Federico M. G. Vegni, Anna Zaretti, Paolo Zunino
      Pages 243-305
    3. Sandro Salsa, Federico M. G. Vegni, Anna Zaretti, Paolo Zunino
      Pages 307-357
    4. Sandro Salsa, Federico M. G. Vegni, Anna Zaretti, Paolo Zunino
      Pages 359-386
  5. Solutions

    1. Front Matter
      Pages 387-387
    2. Sandro Salsa, Federico M. G. Vegni, Anna Zaretti, Paolo Zunino
      Pages 389-446
  6. Back Matter
    Pages 447-489

About this book

Introduction

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 during the last decade at the Politecnico 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 problems arising in the applied sciences and on the other hand to give them a solid background for numerical methods, such as finite differences and finite elements.

Keywords

Analysis Partial Differential Equations

Authors and affiliations

  • Sandro Salsa
    • 1
  • Federico M. G. Vegni
    • 1
  • Anna Zaretti
    • 1
  • Paolo Zunino
    • 2
    • 3
  1. 1.Department of MathematicsPolitecnico di MilanoItaly
  2. 2.MOX — Department of MathematicsPolitecnico di MilanoItaly
  3. 3.Department of Mechanical Engineering and Materials ScienceUniversity of PittsburghUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-88-470-2862-3
  • Copyright Information Springer-Verlag Milan 2013
  • Publisher Name Springer, Milano
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-88-470-2861-6
  • Online ISBN 978-88-470-2862-3
  • Series Print ISSN 2038-5714
  • About this book