Sentence examples for use of numerical procedures from inspiring English sources

Considering the non-Newtonian behavior of polymer melts in the flow analysis of single-screw extruders generally requires use of numerical procedures.

While built on a sound physical foundation, isentropic, one-dimensional models generally used to analyze the dynamics of dilute two-phase (feed-powder particles suspended in a carrier gas) flow during the cold-gas dynamic-spray process, require the use of numerical procedures to obtain solutions for the governing equations.

A powerful method to evaluate the effects of numerical procedures is to compare the results of different methods used to estimate parameter uncertainty, such as overlaying parameter samples obtained by Monte Carlo or bootstrap procedures with likelihood-based confidence intervals.

The use of numerical differentiation procedures is identified as the main cause for the poor performance of the modal curvature method under sparse and noisy measurement.

Hence in those cases, where it is tedious to check the condition D ″ u n ) theoretically, we can use numerical procedures to measure ratio of number of consecutive exceedances to number of exceedances and the ratio of number of upcrossings to number of consecutive exceedances in small intervals.

Due to dilatancy, which implies the adoption of a nonstandard constitutive flow law for concrete, such methodology makes use of two different numerical procedures to search for an upper and a lower bound to the actual peak load.

The goal of the present paper is to use another numerical procedure to treat the singularities in order to get a more accurate numerical solution.

Optimization using numerical procedures evidently precludes any explicit mathematical representation of uncertainty.

Use of numerical methods.

The use of numerical identifiers by themselves cannot be sufficient.

Emphasis is given to aspects of accuracy of the results and efficiency of the numerical procedures used.