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Titlebook: Solving Ordinary Differential Equations in Python; Joakim Sundnes Book‘‘‘‘‘‘‘‘ 2024 The Author(s) 2024 Ordinary differential equations.Ope

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发表于 2025-3-21 17:36:46 | 显示全部楼层 |阅读模式
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Titlebook: Solving Ordinary Differential Equations in Python;  Joakim Sundnes Book‘‘‘‘‘‘‘‘ 2024 The Author(s) 2024 Ordinary differential equations.Ope
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
doihttps://doi.org/10.1007/978-3-031-46768-4
isbn_softcover978-3-031-46767-7
isbn_ebook978-3-031-46768-4Series ISSN 2512-1677 Series E-ISSN 2512-1685
issn_series 2512-1677
copyrightThe Author(s) 2024
The information of publication is updating

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发表于 2025-3-21 21:40:56 | 显示全部楼层
Joakim SundnesThis 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
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Simula SpringerBriefs on Computinghttp://image.papertrans.cn/s/image/871799.jpg
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https://doi.org/10.1007/978-3-031-46768-4Ordinary differential equations; Open Access; ordinary differential equations; Runge-Kutta methods; scie
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Modeling Infectious Diseases,of fundamental assumptions and discuss the limitations that arise from these assumptions. Although we consider a single application and a single class of models, the fundamental steps of the modeling process are applicable to a wide range of real-world phenomena.
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Programming a Simple ODE Solver,analytical methods can be employed to solve simple ODEs, nonlinear ODEs typically require numerical methods for solutions. In this chapter we demonstrate how to program general numerical solvers capable of handling any ODE. Initially we will focus on scalar ODEs, which consist of a single equation a
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