Sentence examples for by direct simultaneous integration from inspiring English sources

The modelling was carried out by direct simultaneous integration of the differential equations for cell growth and substrate consumption.

The FLN/β-CD molar ratios were calculated by direct NMR integration of their appropriate signals.

All analytical solutions have been verified by direct numerical integration of the modal equations of motion.

The results are in excellent agreement with those obtained by direct numerical integration of the governing partial differential equations.

A particular solution instability is found to exist using Hsu's method and is verified by direct numerical integration.

All analytical predictions are compared with those which are obtained by direct numerical integration of system equations.

The perturbation results are validated by direct numerical integration of the equations of motion and Floquet theory.

The RTE can be solved by direct numerical integration [ 14] or by Monte Carlo based methods [ 15 18].

All analytical developments and results are compared with those obtained by direct integration of system equations.

In the exact method, the result is obtained by direct integration of the piecewise flexural stress distribution of the beam.

Correlations for all but one of the remaining kinetic steps qualitatively reproduced those obtained by direct integration.