03047nam 22005775 450 991075850090332120240314161633.03-031-46768-X10.1007/978-3-031-46768-4(MiAaPQ)EBC30882884(Au-PeEL)EBL30882884(DE-He213)978-3-031-46768-4(OCoLC)1409679921(CKB)28842386900041(EXLCZ)992884238690004120231109d2024 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierSolving Ordinary Differential Equations in Python /by Joakim Sundnes1st ed. 2024.Cham :Springer Nature Switzerland :Imprint: Springer,2024.1 online resource (124 pages)Simula SpringerBriefs on Computing,2512-1685 ;15Print version: Sundnes, Joakim Solving Ordinary Differential Equations in Python Cham : Springer,c2023 9783031467677 Preface -- 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.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.Simula SpringerBriefs on Computing,2512-1685 ;15MathematicsData processingComputer scienceMathematicsComputational Science and EngineeringComputer ScienceMathematicsMathematicsData processing.Computer science.Mathematics.Computational Science and Engineering.Computer Science.Mathematics.003.3Sundnes Joakim738425MiAaPQMiAaPQMiAaPQBOOK9910758500903321Solving Ordinary Differential Equations in Python3600560UNINA