Sentence examples for approximation against from inspiring English sources

(2). Figure 4 plots this approximation against our exact solution for a network of size N = 800.

In this work we have employed theoretical analysis, using non-dimensional variables, and numerical modelling to establish a quantitative criterion demarcating the range of validity of the instantaneous reaction approximation against biodegradation kinetics.

Tables 1 3 give a comparison of the SLM results for and at different orders of approximation against the In Table 1, we observe that full convergence of the SLM is achieved by as early as the third order, substantiating the claim that SLM is a very powerful technique.

Table 1 gives a comparison of the values of obtained at different orders of the SLM and the SHAM approximations against the homotopy analysis method results, the homotopy-Padé results, and the numerical results.

Convergence behaviors of the average temperature of each layer and the bulk temperature of the produced fluid calculated by using the improved lumped models (H0,0/H1,1 and H1,1/H1,1 approximations) against the number of grid points along the pipelines were presented.

To deal with the loss of accuracy as ϵ increases, we formulate a second-order approximation to the wave-speed for periodic landscapes and compare both approximations against the results of numerical simulation and show that they are both accurate for the range of landscapes considered.

The designs are robust against errors in such an approximation, and against heteroscedasticity.

In this section, we evaluate the proposed approximation (6) against Monte Carlo simulations performed on (3).

We plot our approximation to against Δt on a log-log scale.

The approximation, validated against finite element (FE) solutions, allows efficient, design-oriented solutions for squeeze flow in complex geometries.

Table 3 Comparison of at different orders for the SLM approximations when, against the results of [13] for different values when.