This paper presents quadrature formulae for the numerical integration of a singular integral equation with Hilbert kernel. The formulae are based on trigonometric interpolation. By integration a quadrature formula for an integral with a logarithmic singularity is obtained. Finally it is demonstrated how a singular integral equation with infinite support can be solved by use of the preceding formulae.
|Journal||Institute of Mathematics and Its Applications. Journal|
|Publication status||Published - 1978|