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XT provided technical supporting for the discretization of the microarray data matrix.
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Voronoi diagrams are used for the selection of suitable node sets as well as for the discretization of the equations.
For the discretization of the nonlinear system of ODEs we note that its stiffness demands very small time steps.
For the discretization of the governing partial differential equations, we consider a standard finite element method with piecewise linear basis functions for the photon fields.
For simplicity, in this section, we only illustrate the discretization of the ODE (10) with the finite element method for the case of uniform mesh refinement.
2. Simulation grid density is dense enough for simulation stability, but not much denser than the discretization of the membrane pressure profile.
Section 3 deals with the discretization of the problem by finite element methods and gives details for an efficient implementation on graphics hardware.
The crucial idea is based on the discretization of the RLW equation with the aid of a combination of the discontinuous Galerkin method for the space semi-discretization and the backward difference formula for the time discretization.
We particularly focus on the discretization of the state space, which connects the symbolic encoding to the mathematical analysis of PADE models, and the use of the discretization for the computation of F i (D′, D), which is essential for determining state transitions.
For the discretization of continuous expression data in SIREN, we tested different number of bins and the spline orders.
More generally, 𝒞(S) = {𝒞(D) ∣ D ⊆ S}, for any set of domains S. Obviously, 𝒞 can also be used for the discretization of parameter values.
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