Sentence examples for by numerical integration on from inspiring English sources

Given the difficulty of finding exact solutions, Einstein's field equations are also solved frequently by numerical integration on a computer, or by considering small perturbations of exact solutions.

Moreover, as soon as there are transitions with more than one pre-place, we get typically a non-linear system, which calls for a simulative solution by numerical integration of the system on hand.

Reliabilities of the two designs are quantitatively compared by numerical integration of the Markov diagrams based on realistic failure rate data; system degradation probabilities are obtained as well as the complete steering loss probability.

Particle ranges may be obtained by (numerical) integration of a suitable stopping-power formula.

Volumes were obtained by numerical integration of the flow signals.

Volume was calculated by numerical integration of V′.

A fully nonlinear beam-column element estimates element deformations by numerical integration of the section deformations.

Distance calculated by numerical integration of the speed profile over the duration of the segment.

The structural analysis results are confirmed by numerical integration of the differential equations induced by the individual modules as well as their composition.

VT was calculated by numerical integration of V'.

The volume was calculated by numerical integration of flow.