Authors:
- 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
- Includes supplementary material: sn.pub/extras
Part of the book series: Texts in Computational Science and Engineering (TCSE, volume 16)
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Table of contents (5 chapters)
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Front Matter
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Back Matter
About this book
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.
Authors and Affiliations
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Simula Research Laboratory , Lysaker, Norway
Hans Petter Langtangen
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Process,Energy&Environmental Technology, University College of Southeast Norway, Porsgrunn, Norway
Svein Linge
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.
Bibliographic Information
Book Title: Finite Difference Computing with PDEs
Book Subtitle: A Modern Software Approach
Authors: Hans Petter Langtangen, Svein Linge
Series Title: Texts in Computational Science and Engineering
DOI: https://doi.org/10.1007/978-3-319-55456-3
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s) 2017
Hardcover ISBN: 978-3-319-55455-6Published: 07 July 2017
Softcover ISBN: 978-3-319-85666-7Published: 01 August 2018
eBook ISBN: 978-3-319-55456-3Published: 21 June 2017
Series ISSN: 1611-0994
Series E-ISSN: 2197-179X
Edition Number: 1
Number of Pages: XXIII, 507
Number of Illustrations: 150 b/w illustrations
Topics: Computational Science and Engineering, Mathematical Applications in Computer Science, Numeric Computing