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In order to approximate the solution, a Nystr\u00f6m method based on a mixed quadrature rule has been proposed. Such a rule is a combination of a product and a \u201cdilation\u201d quadrature formula. The stability and convergence of the described numerical procedure have been discussed in suitable weighted spaces and the efficiency of the method is shown by some numerical tests.<\/jats:p>","DOI":"10.1007\/s11075-020-00953-2","type":"journal-article","created":{"date-parts":[[2020,6,9]],"date-time":"2020-06-09T05:28:27Z","timestamp":1591680507000},"page":"1769-1789","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Numerical treatment of the generalized Love integral equation"],"prefix":"10.1007","volume":"86","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4398-8990","authenticated-orcid":false,"given":"Luisa","family":"Fermo","sequence":"first","affiliation":[]},{"given":"Maria Grazia","family":"Russo","sequence":"additional","affiliation":[]},{"given":"Giada","family":"Serafini","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2020,6,9]]},"reference":[{"key":"953_CR1","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511626340","volume-title":"The Numerical Solution of Integral Equations of the Second Kind Cambridge Monographs on Applied and Computational Mathematics, vol. 552","author":"KE Atkinson","year":"1997","unstructured":"Atkinson, K.E.: The Numerical Solution of Integral Equations of the Second Kind Cambridge Monographs on Applied and Computational Mathematics, vol. 552. 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