We find a family of convergent schemes nodes for non-complete interpolatory quadrature rules.

The singular integrals in the Galerkin Boundary Element Method are usually treated using singularity removing transformations. regularized approximated by tensor product Gaussian quadrature rules. Although these smooth, convergence rate depends strongly on type of and aspect ratio triangulation. Here an adaptive scheme is presented that ensures a at user-specified rate. effectiveness resulting ...

This work introduces the weighted radial basis collocation method for boundary value problems. We first show that the employment of least-squares functional with quadrature rules constitutes an approximation of the direct collocation method. Standard radial basis collocation method, however, yields a larger solution error near boundaries. The residuals in the least-squares functional associated...

We consider certain quadrature rules of highest algebraic degree of precision that involve strong Stieltjes distributions (i.e., strong distributions on the positive real axis). The behavior of the parameters of these quadrature rules, when the distributions are strong c-inversive Stieltjes distributions, is given. A quadrature rule whose parameters have explicit expressions for their determina...