Texts in Computational Science and Engineering
Open Access This content is freely available online to anyone, anywhere at any time.

Finite Difference Computing with PDEs

A Modern Software Approach

Authors: Langtangen, Hans Petter, Linge, Svein

  • An easy-to-read text explaining the ideas behind finite
  • Uses fundamental PDEs to illustrate the path from algorithm to well-designed, complete computer code
  • Explains and demonstrates the skill of verifying computer code on the basis of numerous examples
  • Elaborates on artifacts in simulation results, further enhancing readers’ understanding
see more benefits

Buy this book

eBook  
  • ISBN 978-3-319-55456-3
  • This book is an open access book, you can download it for free on link.springer.com
Hardcover $59.99
price for USA
  • ISBN 978-3-319-55455-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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.


About the authors

Svein Linge is a professor of modelling and simulation at the University College of Southeast Norway and holds a Dr. Scient. degree in biomechanics from the Norwegian School of Sport Sciences. He works part-time at a Norwegian Center of Excellence: "Center for Biomedical Computing", at Simula Research Laboratory, to which he has been linked for the last 13 years. His main research interests includes cerebrospinal fluid dynamics, cardiac electro-mechanics and sport biomechanics. Over the last decade, Linge has been particularly engaged in reforming the engineering education in mathematics and physics to take advantage of computer programming and simulation.

Hans Petter Langtangen was a professor of computer science at the University of Oslo. He had formerly been a professor of mechanics and was the director of a Norwegian Center of Excellence: "Center for Biomedical Computing", at Simula Research Laboratory. Langtangen published over 100 scientific publications and written several books, including papers and the bestseller TCSE 6 "A Primer on Scientific Programming with Python", now in its 5th edition. He also developed open source and commercial software systems for computational sciences. Hans Petter Langtangen passed away in October 2016.

 

Video

Table of contents (5 chapters)

  • Vibration ODEs

    Linge, Svein (et al.)

    Pages 1-92

  • Wave Equations

    Linge, Svein (et al.)

    Pages 93-205

  • Diffusion Equations

    Linge, Svein (et al.)

    Pages 207-322

  • Advection-Dominated Equations

    Linge, Svein (et al.)

    Pages 323-351

  • Nonlinear Problems

    Linge, Svein (et al.)

    Pages 353-407

Buy this book

eBook  
  • ISBN 978-3-319-55456-3
  • This book is an open access book, you can download it for free on link.springer.com
Hardcover $59.99
price for USA
  • ISBN 978-3-319-55455-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Finite Difference Computing with PDEs
Book Subtitle
A Modern Software Approach
Authors
Series Title
Texts in Computational Science and Engineering
Series Volume
16
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s)
eBook ISBN
978-3-319-55456-3
DOI
10.1007/978-3-319-55456-3
Hardcover ISBN
978-3-319-55455-6
Series ISSN
1611-0994
Edition Number
1
Number of Pages
XXIII, 507
Number of Illustrations and Tables
150 b/w illustrations
Topics