We explore a well-known integral representation of the logarithmic function, and demonstrate its usefulness in obtaining compact, easily computable exact formulas for quantities that involve ...

We consider boundary integral equations of the first kind with logarithmic kernels on smooth closed or open contours in R2. Instead of solving the first kind equations directly, we propose a fully ...

Abstract: The inversion of the logarithmic integral operator defined on several curves is considered. Formulas for the inverse operator and its action on trigonometric functions are obtained. The ...

This is a preview. Log in through your library . Journal Information SIAM Journal on Numerical Analysis contains research articles on the development and analysis of ...