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Simula Springerbriefs on Computing Ser.: Solving Ordinary Differential Equations in Python by Joakim Sundnes (2023, Trade Paperback)

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About this product

Product Identifiers

PublisherSpringer

ISBN-103031467671

ISBN-139783031467677

eBay Product ID (ePID)15062946922

Product Key Features

Number of PagesXii, 114 Pages

Publication NameSolving Ordinary Differential Equations in Python

LanguageEnglish

SubjectComputer Science, General, Applied

Publication Year2023

TypeTextbook

AuthorJoakim Sundnes

Subject AreaMathematics, Computers

SeriesSimula Springerbriefs on Computing Ser.

FormatTrade Paperback

Dimensions

Item Weight7.3 Oz

Item Length9.3 in

Item Width6.1 in

Additional Product Features

Series Volume Number15

Number of Volumes1 vol.

IllustratedYes

Table Of ContentPreface.- Programming a Simple ODE Solver.- Improving the Accuracy.- Stable Solvers for Stiff ODE Systems.- Adaptive Time Step Methods.- Modeling Infectious Diseases.- Programming of Difference Equations.- References.- Index.

SynopsisThis 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.

LC Classification NumberQA71-90