Sentence examples for by numerical procedures from inspiring English sources

Normal form theory is shown to be a useful technique providing new insights which otherwise would be difficult to obtain by numerical procedures.

Instead of using a few NMA modes to deform the structures iteratively towards the targeting conformations (Miyashita et al. 2003, 2005), the pathway of conformational transitions herein is searched by numerical procedures in PNM.

Further, some error results and convergence rates are calculated by numerical procedure to illustrate the effectiveness of proposed method.

In this paper, a detailed step-by-step numerical procedure is provided for computing the response of such a structure to external excitations.

Due to its features, the final resolving system can be solved with the classical approaches by using standard numerical procedures.

The procedure is validated by comparing the four poles obtained experimentally for a rigid-walled rectangular cavity with those obtained by analytical and numerical procedures.

Besides their immediate theoretical interest, these branches are particularly difficult to handle by the standard numerical procedures of non-linear analysis, so the given solutions may represent severe benchmark tests.

The shape of the fronts of surface cracks in semicircularly notched round bars under fatigue loading is predicted by a numerical procedure developed recently by the authors.

(6) and (7) have no analytical solutions (Gradshteyn and Ryzhik 1965) and must thus be solved by some numerical procedure, such as integration by quadrature.

These parameters are assessed by a numerical procedure, which elaborates the images provided by an appositely developed machine-vision system.

Sensitivity analysis of the model parameters was used to select four parameters for estimation by a numerical procedure while other parameters were accepted from ADM1 benchmark simulations.