Sentence examples for by solving the singular from inspiring English sources

By solving the singular integral equations numerically, the dislocation density function is determined.

Interactions between singular points (shock-shock or shock-contact interactions) are treated accurately by solving the appropriate generalized Riemann problem.

Using the method of Singular Value Decomposition (SVD), the adjustment value for all panel adjustors are obtained by solving the linear equations.

Inversion of G can be avoided [ 3, 24, 25], for instance by solving the EBV of the animals in the GA set by Henderson's alternative mixed model equations for singular G [ 12], and solving the EBV of the animals in the D set by the iteration on the data approach [ 26].

It is given by (3), where the density φ ∈ [L p ] n solves the singular integral system Rφ = df with R as in (23).

Meanwhile, a new saturation function is introduced to solve the singular problems of the controller.

Though it can solve the singular problem, the background information reduced the detection accuracy.

In order to solve the Dirichlet problem (40), we need to solve the singular integral system (45).

In any case, the density φ solves the singular system (45).

We do not require any fictitious point to solve the singular problem.

Fourier and Hankel transforms are used to reduce the problem to the solution of a system of dual integral equations, which are solved by the singular integral equation technique.