Sentence examples for by numerical methods is from inspiring English sources

In this paper, a study of rock burst within a deeply buried tunnel by numerical methods is described.

In most engineering applications however, the stability behaviour of the film flow is modified by complex coupled transport processes, and because of the huge amount of algebra needed to derive the evolution equations in these cases, an investigation by numerical methods is often preferred by engineers.

Solution of partial differential equations by numerical method is strongly affected due to numerical errors, which are caused mainly by deviation of numerical dispersion relation from the physical dispersion relation.

We demonstrate that the major problem, which cannot be overcome by current numerical methods, is the complex nature and neurobiological foundation of clinical psychiatric endpoints in particular and additive scales in general.

A comparative study of the results obtained by using assorted semi-analytical numerical methods is undertaken.

The choice of the numerical methods is justified by a stability analysis and by the study of their numerical performance.

The improvement of the numerical methods is demonstrated by plenty of numerical examples.

Unfortunately, except in special cases, such as when a set of equations is linear in its un­ knowns or when a convex cost function has to be minimized under convex constraints, the results obtained by conventional numerical methods are only local and cannot be guaranteed.

The next section is about the kinematic relations of Cosserat theory followed by which numerical method is presented.

The Markov process generated by the numerical method is geometrically ergodic and fulfils a Lyapunov condition under very mild step-size restrictions.

(ii) The Markov process generated by the numerical method is geometrically ergodic and fulfils a Lyapunov condition under very mild step-size restrictions.  .