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

Finite Difference Computing with Exponential Decay Models

Authors: Langtangen, Hans Petter

  • Easy-to-read mathematics with detailed explanations
  • Demonstrates the transition of a mathematical problem to well-tested computer code in detail
  • Uses modern Python-based programming tools and techniques
  • Illustrates the computing pipeline: model, method, algorithm, implementation, testing, and visualization....
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eBook  
  • ISBN 978-3-319-29439-1
  • This book is an open access book, you can download it for free on link.springer.com
Hardcover 51,99 €
price for Spain (gross)
  • ISBN 978-3-319-29438-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

This text provides a very simple, initial introduction to the complete scientific computing pipeline: models, discretization, algorithms, programming, verification, and visualization. The pedagogical strategy is to use one case study – an ordinary differential equation describing exponential decay processes – to illustrate fundamental concepts in mathematics and computer science. The book is easy to read and only requires a command of one-variable calculus and some very basic knowledge about computer programming. Contrary to similar texts on numerical methods and programming, this text has a much stronger focus on implementation and teaches testing and software engineering in particular. 

About the authors

Hans Petter Langtangen is a professor of computer science at the University of Oslo. He has formerly been a professor of mechanics and is now the director of a Norwegian Center of Excellence: "Center for Biomedical Computing", at Simula Research Laboratory. Langtangen has published over 100 scientific publications and written several books, including papers and a bestseller TCSE 6 "A Primer on Scientific Programming with Python", now in its 4th edition. He has also developed open source and commercial software systems for computational sciences.

Table of contents (5 chapters)

  • Algorithms and Implementations

    Langtangen, Hans Petter

    Pages 1-38

  • Analysis

    Langtangen, Hans Petter

    Pages 39-66

  • Generalizations

    Langtangen, Hans Petter

    Pages 67-89

  • Models

    Langtangen, Hans Petter

    Pages 91-125

  • Scientific Software Engineering

    Langtangen, Hans Petter

    Pages 127-187

Buy this book

eBook  
  • ISBN 978-3-319-29439-1
  • This book is an open access book, you can download it for free on link.springer.com
Hardcover 51,99 €
price for Spain (gross)
  • ISBN 978-3-319-29438-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Finite Difference Computing with Exponential Decay Models
Authors
Series Title
Lecture Notes in Computational Science and Engineering
Series Volume
110
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and the Author(s)
eBook ISBN
978-3-319-29439-1
DOI
10.1007/978-3-319-29439-1
Hardcover ISBN
978-3-319-29438-4
Series ISSN
1439-7358
Edition Number
1
Number of Pages
XIV, 200
Number of Illustrations and Tables
29 b/w illustrations
Topics