Overview
- This book is open access, which means that you have free and unlimited access
- Numerous examples and code segments help the reader to understand important and fundamental concepts
- The book provides a deep understanding of ODE solvers and software
- Explains both, the underlying mathematics and the practical implementation in Python
Part of the book series: Simula SpringerBriefs on Computing (SBRIEFSC, volume 15)
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About this book
This open access volume explains the foundations of modern solvers for ordinary differential equations (ODEs). Formulating and solving ODEs is an essential part of mathematical modeling and computational science, and numerous solvers are available in commercial and open source software. However, no single ODE solver is the best choice for every single problem, and choosing the right solver requires fundamental insight into how the solvers work. This book will provide exactly that insight, to enable students and researchers to select the right solver for any ODE problem of interest, or implement their own solvers if needed. The presentation is compact and accessible, and focuses on the large and widely used class of solvers known as Runge-Kutta methods. Explicit and implicit methods are motivated and explained, as well as methods for error control and automatic time step selection, and all the solvers are implemented as a class hierarchy in Python.
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Table of contents (5 chapters)
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Bibliographic Information
Book Title: Solving Ordinary Differential Equations in Python
Authors: Joakim Sundnes
Series Title: Simula SpringerBriefs on Computing
DOI: https://doi.org/10.1007/978-3-031-46768-4
Publisher: Springer Cham
eBook Packages: Computer Science, Computer Science (R0)
Copyright Information: The Author(s) 2024
Softcover ISBN: 978-3-031-46767-7Published: 10 November 2023
eBook ISBN: 978-3-031-46768-4Published: 09 November 2023
Series ISSN: 2512-1677
Series E-ISSN: 2512-1685
Edition Number: 1
Number of Pages: XII, 114
Number of Illustrations: 5 b/w illustrations, 17 illustrations in colour
Topics: Computational Science and Engineering, Computer Science, general, Mathematics, general