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Solving Ordinary Differential Equations in Python

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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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Detail Information

Series Title

Simula SpringerBriefs on Computing

Call Number

XII, 114

Publisher

Springer Cham : Springer Cham., 2023

Collation

-

Language

English

ISBN/ISSN

978-3-031-46768-4

Classification

NONE

Content Type

text

Media Type

computer

Carrier Type

online resource

Edition

1

Subject(s)

Mathematics
Computational Science

Specific Detail Info

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Statement of Responsibility

Joakim Sundnes

Other Information

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Source

https://link.springer.com/book/10.1007/978-3-031-46768-4

Validator

Suwardi

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