Sentence examples for been calculated numerically using from inspiring English sources
In Ref. [12], the leading relativistic and QED corrections to the ground-state energy of the three-body system ((e^,, e^,e^^)) have been calculated numerically using a Hylleraas correlated basis set.
can not be obtained explicitly and should be calculated numerically using (5) and (47).
The previous integral is calculated numerically using the trapezoidal rule in a basic program.
Their overloaded elution band profiles were calculated numerically using these isotherm data.
The trajectories and temperatures fields inside these particles were calculated numerically using Plasma 2000 code.
The associated compact Green׳s function is calculated numerically using potential-flow analysis of the fluid structure flow domain.
The stress intensities (H1,H2) are calculated numerically, using a domain integral approach, as a function of the elastic mismatch between the pillar and substrate.
The tensors are calculated numerically using Finite Element Analysis and analytically by representing fibers as equivalent sets of ellipsoids following the procedure available in the literature for approximation of effective composite stiffness.
To estimate the magnetocaloric effect, the change of magnetic entropy ((Delta S_{text{ M}}) was calculated numerically using the equation [21]: - Delta left( {S_{text{M}} } right) = mathop sum nolimits frac{{(M_{i} - M_{i + 1} }}{{T_{i + 1} - T_{i} }} )Delta {text{H }}_{i}.
The diffusion of species was calculated numerically using the heuristic described in [ 23].
The quantification area is calculated numerically using the trapezoidal rule over 100 points.
