Sentence examples similar to by performing numerical equations from inspiring English sources

In Section 2, we derive analytically the criteria for oscillations in the solutions of the polytropic equation (8) and we test their validity by performing numerical integrations for integer values of (n>1).

We first performed numerical simulations of the deterministic rate equations Eqs.7-14 (parameter values in Table 1).

We have confirmed this hypothesis by performing additional numerical calculations for semi-flexible polyelectrolyte chains within the PRISM integral equation theory.

Using the standard solid model to formulate the viscoelastic constitutive equation, the real-time stress intensity factors can be directly obtained by performing the numerical calculations.

The properties of the scheme are investigated by performing a numerical stability analysis of a linearized model of the scalar 1D regularized long wave equation.

When we perform numerical simulations of the model with discrete time we use difference equations that correspond to equations 1–4.

I performed numerical simulations in Matlab; equilibrium conditions were found by running recursion equations for genotype frequency, as described above, until trait and preference alleles reached equilibrium.

Overall, we perform numerical simulations at scales that were previously unattainable by standard radiative transfer equation solvers.

The hydrogen burning minimum mass (HBMM) is determined for solar composition by performing some numerical computations.

We implemented the model equations into the software package XPPAUT [ 32] and performed numerical integrations and bifurcation analyses.

To achieve this, we performed numerical simulations of SEP transport in interplanetary space, in which interplanetary SEP transport is described by the focused transport equation.