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Multiscale Geometric Integration of Deterministic and Stochastic Systems

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Figure

Figure 2.3: Error analysis of (2.93). Parameters are √ ω =ϵ = 103, x(0) = 0.8 and y(0) =
Figure 2.4:Comparison between trajectories integrated by Variational Euler and FLAVOR
Figure 2.6: Van der Pol oscillator over a timespan of 5/ϵ (a) Direct Forward Euler simulation of(2.102) with time steps resolving the fast time scale (b) (nonintrusive (2.34)) FLAVOR simulationof (2.102) (c) Polar to cartesian image of the (nonintrusive (2
Figure 2.7: In this experiment,equations have to be solved at every step, and IMEX turns out to be slower than VariationalEuler
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