Numerical Quadrature of Periodic Singular Integral Equations

This paper presents quadrature formulae for the numerical integrationof a singular integral equation with Hilbert kernel. The formulaeare based on trigonometric interpolation. By integration a quadratureformula for an integral with a logarithmic singularity is obtained.Finally it is demonstrated how a singular integral equationwith infinite support can be solved by use of the precedingformulae.