Discrete Chebyshev Approximation by Interpolating Rationals

The problem of discrete Chebyshev approximation by a certainform of rational function is considered. The exchange algorithmis applied with a particular treatment of the levelling equations.Illustrative numerical examples are presented, including thedetection of noise levels.     

Integral Equation Formulation of Oseen Flow Problems

An integral equation approach to the problem of Oseen flow pastobstacles is presented and an approximate solution of the appropriateintegral equations is obtained for low Reynolds numbers. Bothobstacles in bounded and unbounded media are examined.     

A Note on a Singular Integral Equation

A direct method is presented for solving a singular integralequation which is a generalization of one occurring in wave-guidetheory and in the theory of dislocations. The present methodavoids elaborate application of the complex variable methodsnormally associated with such singular integral equations.     

Some Results for Low-frequency Dirichlet Scattering by Arbitrary Obstacles and Their Application to the Particular Case of the Ellipsoid

It is shown that, for the case of an incident plane wave, thefirst two terms in the low frequency expansion of the scatteringcoefficient of an arbitrary soft obstacle can be obtained explicitlyin terms of the solution to one electrostatic problem. The particularcase of the ellipsoid is discussed in detail.