Sentence examples for the numerical formulation from inspiring English sources

First, the numerical formulation is validated using available analytical results.

The numerical formulation of the model is described in detail.

The boundary conditions represent forces and are efficiently incorporated into the numerical formulation.

The accuracy and reliability of the numerical formulation are verified against experimental data reported elsewhere.

The experimental effort dedicated to validating the numerical formulation is also presented.

The numerical formulation presented here exhibits none of the numerical instabilities of a previous scheme.

The paper presents derivation of the pertinent equations, the numerical formulations used and details of their numerical implementation in computer programs.

The confinement effects provided by the outer and inner steel tubes on the sandwiched concrete in circular DCFST columns are taken into account in the numerical formulations.

The numerical formulations of both the upper and the lower bound theorems are obtained by means of finite elements and solved using efficient non-linear mathematical programming schemes.

Comparing with the frequencies using the general purpose program ABAQUS, the validity of the presented numerical formulation is shown.

In order to estimate the accuracy and the potentiality of the proposed numerical formulation, some examples are validated by comparison with similar approaches, and other simulations are presented, to stress the need to analyse the inhomogeneous soil raft-superstructure soil raft-superstructure