{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,26]],"date-time":"2026-02-26T13:57:57Z","timestamp":1772114277520,"version":"3.50.1"},"reference-count":9,"publisher":"American Mathematical Society (AMS)","issue":"236","license":[{"start":{"date-parts":[[2001,3,30]],"date-time":"2001-03-30T00:00:00Z","timestamp":985910400000},"content-version":"am","delay-in-days":365,"URL":"https:\/\/www.ams.org\/publications\/copyright-and-permissions"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Comp."],"abstract":"<p>In this paper, we study polynomial spline collocation methods applied to a particular class of integral-algebraic equations of Volterra type. We analyse mixed systems of second and first kind integral equations. Global convergence and local superconvergence results are established.<\/p>","DOI":"10.1090\/s0025-5718-00-01257-6","type":"journal-article","created":{"date-parts":[[2002,7,26]],"date-time":"2002-07-26T22:13:53Z","timestamp":1027721633000},"page":"1503-1514","source":"Crossref","is-referenced-by-count":41,"title":["The numerical solution of integral-algebraic equations of index 1 by polynomial spline collocation methods"],"prefix":"10.1090","volume":"70","author":[{"given":"J.-P.","family":"Kauthen","sequence":"first","affiliation":[]}],"member":"14","published-online":{"date-parts":[[2000,3,30]]},"reference":[{"key":"1","series-title":"CWI Monographs","isbn-type":"print","volume-title":"The numerical solution of Volterra equations","volume":"3","author":"Brunner, H.","year":"1986","ISBN":"https:\/\/id.crossref.org\/isbn\/0444700730"},{"issue":"6","key":"2","doi-asserted-by":"publisher","first-page":"1527","DOI":"10.1137\/0727089","article-title":"Differential algebraic equations, indices, and integral algebraic equations","volume":"27","author":"Gear, C. 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Technical Report 96-04, Fakult\u00e4t f\u00fcr Mathematik und Informatik, Technische Universit\u00e4t Bergakademie Freiberg, 1996."},{"issue":"2-3","key":"7","doi-asserted-by":"publisher","first-page":"95","DOI":"10.1016\/S0168-9274(97)00014-7","article-title":"A survey of singularly perturbed Volterra equations","volume":"24","author":"Kauthen, J.-P.","year":"1997","journal-title":"Appl. Numer. Math.","ISSN":"https:\/\/id.crossref.org\/issn\/0168-9274","issn-type":"print"},{"key":"8","unstructured":"J.-P. Kauthen. The numerical solution of Volterra integral-algebraic equations by collocation methods. In A. Sydow, editor, 15th IMACS World Congress on Scientific Computation, Modelling and Applied Mathematic, Berlin, August 1997, Volume 2: Numerical Mathematics, pages 451\u2013456, Berlin, 1997. Wissenschaft und Technik Verlag."},{"issue":"220","key":"9","doi-asserted-by":"publisher","first-page":"1441","DOI":"10.1090\/S0025-5718-97-00905-8","article-title":"Continuous collocation approximations to solutions of first kind Volterra equations","volume":"66","author":"Kauthen, J.-P.","year":"1997","journal-title":"Math. 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