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Cancellation and nearly singular kernels may cause serious degradation.
The nearly singular boundary integrals can be evaluated accurately with the previously developed distance transformation techniques.
In the nearly singular design, the sample variance converges to a singular limit term.
The Gauss Legendre integration is not appropriate for singular and nearly singular integrations in BEM.
We consider specifically Continuous Updating Estimator (CUE) with many weak moments under nearly singular design.
This paper presents an improved exponential transformation for nearly singular boundary element integrals in elasticity problems.
In this study, some criteria are introduced for recognizing the nearly singular integrals in integral form of Laplace equation.
Many physical phenomena develop singular, or nearly singular behavior in localized regions, e.g. boundary layers or blowup solutions.
Knight and Fu (2000) designate the issue of similar regressors as the "nearly singular" design in the least squares case.
In this paper, we investigate the performance of pseudo-spectral methods in computing nearly singular solutions of fluid dynamics equations.
For 3D HABEM an improved equal-accuracy Gaussian quadrature for regular including nearly singular integrals, and that for weakly singular integrals is presented and numerically verified in detail.
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