Team:Paris/Network analysis and design/Core system/Mathematical analysis and simulations/Integration methods

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Revision as of 07:58, 28 October 2008 by YannLC (Talk | contribs)

Impact of simulation methods

This section wil just be made of some simulations to show the influence of the solver used. Indeed, when it comes to detect oscillations, some weird phenomenon can just be produced by simulation algorithms' aterfact. We have just obtained the following curves for the same initial system of ODEs.

  • Numerical simulations with Euler algorithm
Simueuler.jpg
Simueulerzoom.jpg

(The second picture is just a zoom, as defined by the red box)

  • Numerical simulations with variable-step methods
Simuode45.jpg
Simuode45zoom.jpg

(The second picture is just a zoom, as defined by the red box)

One can notice that some oscillations seem to occur in the second case, which is not the case in simulations made with constant step. Therefore, the precise tuning of the algorithm used have to be undertaken in order to avoid false detection of oscillations.