2013

A Primer on PDEs

Models, Methods, Simulations

ISBN: 978-88-470-2861-6 (Print) 978-88-470-2862-3 (Online)

Table of contents (10 chapters)

  1. Front Matter

    Pages I-XIV

  2. Introduction

    1. No Access

      Book Chapter

      Pages 1-13

      Introduction

  3. Differential Models

    1. Front Matter

      Pages 15-15

    2. No Access

      Book Chapter

      Pages 17-58

      Scalar Conservation Laws

    3. No Access

      Book Chapter

      Pages 59-108

      Diffusion

    4. No Access

      Book Chapter

      Pages 109-138

      The Laplace Equation

    5. No Access

      Book Chapter

      Pages 139-188

      Reaction-diffusion models

    6. No Access

      Book Chapter

      Pages 189-240

      Waves and vibrations

  4. Functional Analysis Techniques for Differential Problems

    1. Front Matter

      Pages 241-241

    2. No Access

      Book Chapter

      Pages 243-305

      Elements of Functional Analysis

    3. No Access

      Book Chapter

      Pages 307-357

      Variational formulation of elliptic problems

    4. No Access

      Book Chapter

      Pages 359-386

      Weak formulation of evolution problems

  5. Solutions

    1. Front Matter

      Pages 387-387

    2. No Access

      Book Chapter

      Pages 389-446

      Solutions of selected exercises

  6. Back Matter

    Pages 447-489