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200 10$aSolving Ordinary Differential Equations in Python /$fby Joakim Sundnes
205   $a1st ed. 2024.
210  1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2024.
215   $a1 online resource (124 pages)
225 1 $aSimula SpringerBriefs on Computing,$x2512-1685 ;$v15
311 08$aPrint version: Sundnes, Joakim Solving Ordinary Differential Equations in Python Cham : Springer,c2023 9783031467677 
327   $aPreface -- 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.
330   $aThis open access volume explains the foundations of modern solvers for ordinary differential equations (ODEs). Formulating and solving ODEs is an essential part of mathematical modeling and computational science, and numerous solvers are available in commercial and open source software. However, no single ODE solver is the best choice for every single problem, and choosing the right solver requires fundamental insight into how the solvers work. This book will provide exactly that insight, to enable students and researchers to select the right solver for any ODE problem of interest, or implement their own solvers if needed. The presentation is compact and accessible, and focuses on the large and widely used class of solvers known as Runge-Kutta methods. Explicit and implicit methods are motivated and explained, as well as methods for error control and automatic time step selection, and all the solvers are implemented as a class hierarchy in Python.
410  0$aSimula SpringerBriefs on Computing,$x2512-1685 ;$v15
606   $aMathematics$xData processing
606   $aComputer science
606   $aMathematics
606   $aComputational Science and Engineering
606   $aComputer Science
606   $aMathematics
615  0$aMathematics$xData processing.
615  0$aComputer science.
615  0$aMathematics.
615 14$aComputational Science and Engineering.
615 24$aComputer Science.
615 24$aMathematics.
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996   $aSolving Ordinary Differential Equations in Python$93600560
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