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020 _a9783031467684
024 7 _a10.1007/978-3-031-46768-4
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040 _aES-MaUEC
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050 0 4 _aQA71-90
_b2024
100 1 _aSundnes, Joakim.
_eautor
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 0 0 _aSolving Ordinary Differential Equations in Python
_cby Joakim Sundnes
250 _afirst edition 2024
264 1 _aCham
_c2024
_bSpringer International Publishing
300 _a1 recurso en línea
336 _atexto
_btxt
_2rdacontent
337 _aelectrónico
_bc
_2rdamedia
338 _arecurso electrónico
_bcr
_2rdacarrier
347 _atext file
_bPDF
490 0 _aSimula SpringerBriefs on Computing
_x2512-1685 ;
_v15
505 0 _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.
506 0 _aOpen Access
520 _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.
856 4 0 _uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-031-46768-4
_zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
912 _aZDB-2-SCS
912 _aZDB-2-SXCS
912 _aZDB-2-SOB
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988 _aSpringer_Computer_2024
999 _c397733
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