Sentence examples for by numerical method is from inspiring English sources

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.

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.

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.  .

The numerical method is derived by discretizing the weak formulation.

The Taylor series numerical method is addressed by approximating the solution to the SDRE.

The validity of this numerical method is examined by a comparison of the experimental results.

The numerical method is verified by solid volume fraction and granular temperature experimental data from literature.

The numerical method is validated by comparing the paths with those generated from lubrication theory.