Table of contents

  1. Front Matter
    Pages i-xxiii
  2. Svein Linge, Hans Petter Langtangen
    Pages 1-92 Open Access
  3. Svein Linge, Hans Petter Langtangen
    Pages 93-205 Open Access
  4. Svein Linge, Hans Petter Langtangen
    Pages 207-322 Open Access
  5. Svein Linge, Hans Petter Langtangen
    Pages 323-351 Open Access
  6. Svein Linge, Hans Petter Langtangen
    Pages 353-407 Open Access
  7. Back Matter
    Pages 409-507

About this book

Introduction

This book is open access under a CC BY 4.0 license.

This easy-to-read book introduces the basics of solving partial differential equations by means of finite difference methods. Unlike many of the traditional academic works on the topic, this book was written for practitioners. Accordingly, it especially addresses: the construction of finite difference schemes, formulation and implementation of algorithms, verification of implementations, analyses of physical behavior as implied by the numerical solutions, and how to apply the methods and software to solve problems in the fields of physics and biology.


Keywords

Finite difference methods Programming Python Verification Numerical methods Differential equations Open access

Authors and affiliations

  • Hans Petter Langtangen
    • 1
  • Svein Linge
    • 2
  1. 1.Simula Research Laboratory LysakerNorway
  2. 2.Process,Energy&Environmental TechnologyUniversity College of Southeast NorwayPorsgrunnNorway

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-55456-3
  • Copyright Information The Editor(s) (if applicable) and The Author(s) 2017
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-55455-6
  • Online ISBN 978-3-319-55456-3
  • Series Print ISSN 1611-0994
  • Series Online ISSN 2197-179X
  • Buy this book on publisher's site