Sentence examples for evaluation of a singular from inspiring English sources

At the heart of our scheme is an efficient and accurate computation of the Dirichlet to Neumann map through the evaluation of a singular volume integral and the solution to a Fredholm integral equation of the second kind.

A new, accurate, and efficient algorithm is developed for the numerical evaluation of a class of singular integrals which arise in the BEM (boundary element method) analyses.

Use of this criterion in conjunction with numerical evaluation of a series of singular values (of the alternating-direction discrete one-dimensional operators) suggests clearly that the fifth-order accurate class of parabolic and elliptic FC-AD solvers we propose is indeed unconditionally stable for all smooth spatial domains and for arbitrarily fine discretizations.

Among the prevailing regularization methods, analytical evaluation of the singular integrals is a more attractive option due to the higher accuracy and less computational cost.

In a previous work, the authors introduced a scheme for the numerical evaluation of the singular integrals which arise in the discretization of certain weakly singular integral operators of acoustic and electromagnetic scattering.

Weight evaluation for embedding a singular value matrix of a watermark into a host is a trivial task in watermark embedding process.

The SBM is of several advantages including mathematically simple, easy-to-program, meshless with the application of the concept of origin intensity factors in order to eliminate the singularity of the fundamental solutions and avoid the numerical evaluation of the singular integrals in the boundary element method.

For the evaluation of the singular integrals, we use in this paper the truncation method, the method that brings good results when the integrand does not oscillate near the singularity (see [14], chap. 6), as in the following case.

Several examples for the evaluation of weakly/strongly singular domain integrals and two examples for the flow field analysis in micro-channels are presented and the accuracy and convergence of the proposed approaches are investigated.

Numerical evaluation of integrals of singular kernels is a very important aspect for a well-conditioned behavior of the system matrix.

The primary modification to the Eulerian GRP scheme is the evaluation of fluxes at singular points in a unified grid containing the union of regular Euler grid points and singular moving points.