Sentence examples for the direct solutions from inspiring English sources

The predictions of the perturbation theory are compared with the direct solutions in the cases of regular and singular perturbation and very good agreement is observed.

In numerical calculations for conservative systems with modest values of n over long time spans, such as those seeking a determination of the stability of the solar system, the direct solution of the differential equations governing the motions requires excessive time on any computer and accumulates excessive round-off error in the process.

The direct solution answers questions such as "What happens, if we do something?" The direct solution shows the comparative chances of success for different scenarios.

The direct solution to the problem is to reduce CO2 emission [2].

Both the direct solution of moving boundary problems and the inverse design formulation are presented.

We consider the direct solution of general sparse linear systems baseds on a multifrontal method.

Extreme value theory (EVT) has been used in cases where the direct solution is almost intractable.

However, the direct solution of problem (1) requires solving KNT fixed point equations.

The DSTF better describes the source process, whereas the direct solution of the waveform inversion is the FSTF.

Another motivation is concerned with the direct solution techniques for solving high even-order differential equations, using the Bernstein Galerkin approximation.

Full Waveform Inversion (FWI) aims at recovering the elastic parameters of the Earth by matching recordings of the ground motion with the direct solution of the wave equation.