Error bounds for compound quadrature of weakly singular integrals

Prediction of slow convergence rates for weakly singular numerical quadrature

A Personal Perspective on the History of the Numerical Analysis of Fredholm Integral Equations of the Second Kind

This is a personal perspective on the development of numerical methods for solving Fredholm integral equations of the second kind, discussing work being done principally during the 1950s and 1960s. The principal types of numerical methods being studied were projection methods (Galerkin, collocation) and Nyström methods. During the 1950s and 1960s, functional analysis became the framework for the analysis of numerical methods for solving integral equations, and this in‡uenced the questions being asked. This paper looks at the history of the analyses being done at that time.

Mínimos cuadrados en ecuaciones integrales

En este trabajo se hace un análisis preliminar del error del método de mínimos cuadrados aplicado en una nueva forma algebraica a determinada ecuación integral

The Van der Waals Interaction between Protein Molecules in an Electrolyte Solution

In this report we present a general formulation to calculate the van der Waals interaction between two protein molecules in an electrolyte solution using boundary element method of solving linearized Poisson–Boltzmann equation. Our formulation is based upon an inhomogeneous dielectric model of proteins at the residue level. Our results for bovine pancreatic trypsin inhibitor at various relative orientations indicate that the anisotropy of the interaction can be tens of kBT

Multigrid method for integral equations and automatic programs

Several iterative algorithms based on multigrid methods are introduced for solving linear Fredholm integral equations of the second kind. Automatic programs based on these algorithms are introduced using Simpson's rule and the piecewise Gaussian rule for numerical integration