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Fig. 2 Scenario used for numerical experiments.
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Evolutionary strategies are stochastic algorithms used for numerical optimization [ 48].
The Mann-Whitney test was used for numerical variables.
The same software was used for numerical optimization.
Our PERMON software is used for the numerical experiments.
All the codes used for the numerical experiments are available at the following link: https://sites.google.com/view/myungcho/software/nsc.com/view/myungcho/software/nsc
The coupled diffusion advection and Forchheimer's equations are used for all numerical experiments including/excluding the inertia effects for both static and dynamic cases (Civan, 2007).
In particular, a perturbation analysis of the associated linear spectral problem shows that the initial values used for the numerical experiments lie exponentially close to a homoclinic manifold.
The matched-R cascade is used as an example for numerical experiments to show that a cascade is solely determined by the choice of the two virtual components, and to demonstrate how the numerical method is applied to find the optimal cascade.
As a result, the selection can be optimally performed with a much lower investment on the development of high-performance versions of the solvers and without using the target architecture for numerical experiments.
The data we use for our numerical experiments correspond to the EUR market on 27 May 2013 and were collected from Bloomberg; see also Grbac et al. (2015, §8.4) for more details.
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