Quadrature methods for logarithmic-kernel integral equations on closed curves

Autor:	Ian H. Sloan, J. Saranen
Rok vydání:	1992
Předmět:	Computational Mathematics Smooth curves Logarithm Applied Mathematics General Mathematics Norm (mathematics) Mathematical analysis Integral equation Mathematics Quadrature (mathematics)
Zdroj:	IMA Journal of Numerical Analysis. 12:167-187
ISSN:	1464-3642 0272-4979
DOI:	10.1093/imanum/12.2.167
Popis:	The recently proposed method of Sloan and Burn for the logarithmic-kernel first-kind integral equation on closed curves is modified, so as to permit high-order convergence in appropriate negative norm even when the solution is not smooth. In addition, the result of Sloan and Burn for the original method is shown to be extendable from circular to general smooth curves without loss
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ec323228e9ef7a9c15e4ce2befec815c https://doi.org/10.1093/imanum/12.2.167 Zobrazit plný text záznamu