Abstract
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.
Original language | English |
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Journal | Institute of Mathematics and Its Applications. Journal |
Volume | 21 |
Issue number | 2 |
Pages (from-to) | 181-187 |
ISSN | 0020-2932 |
DOIs | |
Publication status | Published - 1978 |