书目名称 | Solving Ordinary Differential Equations in Python |
编辑 | Joakim Sundnes |
视频video | |
概述 | 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 d |
丛书名称 | Simula SpringerBriefs on Computing |
图书封面 |  |
描述 | .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.. |
出版日期 | Book‘‘‘‘‘‘‘‘ 2024 |
关键词 | Ordinary differential equations; Open Access; ordinary differential equations; Runge-Kutta methods; scie |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-031-46768-4 |
isbn_softcover | 978-3-031-46767-7 |
isbn_ebook | 978-3-031-46768-4Series ISSN 2512-1677 Series E-ISSN 2512-1685 |
issn_series | 2512-1677 |
copyright | The Author(s) 2024 |