Abstract Quadrature rules for evaluating singular integrals that typically occur in the boundary element method (BEM) for two-dimensional and axisymmetric three-dimensional problems are considered.

Log-preinvex Function: A function that satisfies a logarithmic variant of preinvexity, facilitating the derivation of integral inequalities in non-linear systems.

Welcome to the "Basic Function Integrals" repository! This repository was created to provide an introduction to integral calculus II through practical examples. Here, you will find detailed solutions ...

The scattering characteristics of distributed soft targets are generally described by integral equations with singular kernels. For the purpose of fast computation of integrals of singular kernels, a ...

Numerical integration of a multimodal integrand f (θ) is approached by Monte Carlo integration via importance sampling. A mixture of multivariate t density functions is suggested as an importance ...

The integrals in Gradshteyn and Ryzhik. Part9: Combinations of logarithms, rational and trigonometric functions : Tewodros Amdeberhan : Free Download, Borrow, and Streaming : Internet Archive ...

The apparatus of integral equations is currently widely used in solving applied problems of radio engineering and signal theory. Application of integral equations allows to reduce the dimension of ...

As corollaries we obtain the optimal order of convergence for functions from the Sobolev spaces $\ [H_p^s\]$ with isotropic, anisotropic, or mixed smoothness with given compact support for all values ...

Discover the power of eigen-functions in solving Laplace equations in wedge-shaped domains. Explore the effectiveness of logarithmic sine and cosine transforms in obtaining exact solutions. Perfect ...