teaching:methcalchim:numerical_methods_for_ordinary_differential_equations

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teaching:methcalchim:numerical_methods_for_ordinary_differential_equations [2021/01/27 08:33] villersdteaching:methcalchim:numerical_methods_for_ordinary_differential_equations [2022/08/25 07:45] (Version actuelle) – [References] villersd
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   * predator–prey models :    * predator–prey models : 
     * see seminal and recent references here : [[https://www.pnas.org/content/118/4/e2017463118.abstract?etoc|Evolutionarily stable strategies in stable and periodically fluctuating populations: The Rosenzweig–MacArthur predator–prey model]] Katrin Grunert, Helge Holden, Espen R. Jakobsen, Nils Chr. Stenseth, Proceedings of the National Academy of Sciences Jan 2021, 118 (4) e2017463118; DOI: 10.1073/pnas.2017463118     * see seminal and recent references here : [[https://www.pnas.org/content/118/4/e2017463118.abstract?etoc|Evolutionarily stable strategies in stable and periodically fluctuating populations: The Rosenzweig–MacArthur predator–prey model]] Katrin Grunert, Helge Holden, Espen R. Jakobsen, Nils Chr. Stenseth, Proceedings of the National Academy of Sciences Jan 2021, 118 (4) e2017463118; DOI: 10.1073/pnas.2017463118
 +  * [[https://www.sympy.org/scipy-2017-codegen-tutorial/|Automatic Code Generation with SymPy]] → applications to ODE and chemical kinetics
 +  * [[http://jakevdp.github.io/blog/2017/03/08/triple-pendulum-chaos/|Triple Pendulum CHAOS! - Pythonic Perambulations]]
 +  * [[https://medium.com/geekculture/runge-kutta-numerical-integration-of-ordinary-differential-equations-in-python-9c8ab7fb279c|Runge-Kutta Numerical Integration of Ordinary Differential Equations in Python]] Andrew Joseph Davies, Medium, 23/01/2022
 +  * chaos : [[https://medium.com/starts-with-a-bang/to-understand-chaos-theory-play-a-game-of-plinko-68aa9dde05ba]]
  
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