{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,7]],"date-time":"2025-10-07T11:49:57Z","timestamp":1759837797921,"version":"3.41.0"},"reference-count":17,"publisher":"Springer Science and Business Media LLC","issue":"3-4","license":[{"start":{"date-parts":[[1999,2,1]],"date-time":"1999-02-01T00:00:00Z","timestamp":917827200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[1999,2,1]],"date-time":"1999-02-01T00:00:00Z","timestamp":917827200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Numerical Algorithms"],"published-print":{"date-parts":[[1999,2]]},"DOI":"10.1023\/a:1019127428490","type":"journal-article","created":{"date-parts":[[2003,2,19]],"date-time":"2003-02-19T23:30:27Z","timestamp":1045697427000},"page":"327-351","source":"Crossref","is-referenced-by-count":8,"title":["Full collocation methods for some boundary integral equations"],"prefix":"10.1007","volume":"22","author":[{"given":"Ricardo","family":"Celorrio","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Francisco-Javier","family":"Sayas","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"329361_CR1","volume-title":"Handbook of Mathematical Functions","author":"M. Abramowitz","year":"1972","unstructured":"M. Abramowitz and I.A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1972)."},{"key":"329361_CR2","doi-asserted-by":"publisher","first-page":"317","DOI":"10.1007\/BF01389582","volume":"47","author":"D. Arnold","year":"1985","unstructured":"D. Arnold and W.L. Wendland, The convergence of spline collocation for strongly elliptic equations on curves, Numer. Math. 47 (1985) 317\u2013341.","journal-title":"Numer. Math."},{"key":"329361_CR3","unstructured":"R. Celorrio and F.-J. Sayas, Extrapolation techniques and the collocation method for a class of boundary integral equations, to appear in J. Austral. Math. Soc. Ser. B."},{"key":"329361_CR4","doi-asserted-by":"publisher","first-page":"780","DOI":"10.1023\/A:1022399409604","volume":"39","author":"R. Celorrio","year":"1999","unstructured":"R. Celorrio and F.-J. Sayas, The Euler\u2013Maclaurin formula in presence of a logarithmic singularity, BIT 39 (1999) 780\u2013785.","journal-title":"BIT"},{"key":"329361_CR5","doi-asserted-by":"publisher","first-page":"523","DOI":"10.1007\/s002110050324","volume":"78","author":"M. Crouzeix","year":"1998","unstructured":"M. Crouzeix and F.-J. Sayas, Asymptotic expansions of the error of spline Galerkin boundary element methods, Numer. Math. 78 (1998) 523\u2013547.","journal-title":"Numer. Math."},{"key":"329361_CR6","doi-asserted-by":"publisher","first-page":"89","DOI":"10.1007\/BF02259638","volume":"25","author":"G.C. Hsiao","year":"1980","unstructured":"G.C. Hsiao, P. Kopp and W.L. Wendland, A Galerkin collocation method for some integral equations of the first kind, Computing 25 (1980) 89\u2013130.","journal-title":"Computing"},{"key":"329361_CR7","doi-asserted-by":"crossref","first-page":"537","DOI":"10.1216\/jiea\/1181075835","volume":"6","author":"W. McLean","year":"1994","unstructured":"W. McLean, Fully-discrete collocation methods for an integral equation of the first kind, J. Integral Equations Appl. 6 (1994) 537\u2013571.","journal-title":"J. Integral Equations Appl."},{"key":"329361_CR8","volume-title":"Functional Analysis","author":"W. Rudin","year":"1973","unstructured":"W. Rudin, Functional Analysis (MacGraw-Hill, New York, 1973)."},{"key":"329361_CR9","doi-asserted-by":"publisher","first-page":"499","DOI":"10.1007\/BF01397549","volume":"53","author":"J. Saranen","year":"1988","unstructured":"J. Saranen, The convergence of even degree spline collocation solution for potential problems in smooth domains of the plane, Numer. Math. 53 (1988) 499\u2013512.","journal-title":"Numer. Math."},{"key":"329361_CR10","first-page":"196","volume-title":"Notes on Numerical Fluid Mechanics","author":"J. Saranen","year":"1988","unstructured":"J. Saranen, On the effect of numerical quadrature in solving boundary integral equations, in: Notes on Numerical Fluid Mechanics, Vol. 21 (Vieweg, Braunschweig, 1988) pp. 196\u2013209."},{"key":"329361_CR11","doi-asserted-by":"publisher","first-page":"91","DOI":"10.2307\/2008051","volume":"45","author":"J. Saranen","year":"1985","unstructured":"J. Saranen and W.L. Wendland, On the asymptotic convergence of collocation methods with spline functions of even degree, Math. Comp. 45 (1985) 91\u2013108.","journal-title":"Math. Comp."},{"key":"329361_CR12","unstructured":"F.-J. Sayas, Asymptotic expansions of the error of some boundary element methods, Thesis doctoral, University of Zaragoza (1994)."},{"key":"329361_CR13","doi-asserted-by":"publisher","first-page":"311","DOI":"10.1016\/S0377-0427(97)00069-1","volume":"81","author":"F.-J. Sayas","year":"1997","unstructured":"F.-J. Sayas, Fully discrete Galerkin methods for systems of boundary integral equations, J. Comput. Appl. Math. 81 (1997) 311\u2013331.","journal-title":"J. Comput. Appl. Math."},{"key":"329361_CR14","first-page":"138","volume-title":"Theory and Numerics of Ordinary and Partial Differential Equations","author":"I.H. Sloan","year":"1995","unstructured":"I.H. Sloan, Boundary element methods, in: Theory and Numerics of Ordinary and Partial Differential Equations, eds. M. Ainsworth et al. (Oxford Science, Oxford, 1995) pp. 138\u2013180."},{"key":"329361_CR15","volume-title":"Interpolation","author":"J.F. Steffensen","year":"1950","unstructured":"J.F. Steffensen, Interpolation, 2nd ed. (Chelsea, New York, 1950).","edition":"2nd ed."},{"key":"329361_CR16","volume-title":"Introduction to Numerical Analysis","author":"J. Stoer","year":"1972","unstructured":"J. Stoer and R. Bulirsch, Introduction to Numerical Analysis (Springer, Berlin, 1972)."},{"key":"329361_CR17","doi-asserted-by":"publisher","first-page":"549","DOI":"10.1216\/JIE-1988-1-4-549","volume":"1","author":"Y. Yan","year":"1988","unstructured":"Y. Yan and I.H. Sloan, On integral equations of the first kind with logarithmic kernels, J. Integral Equations Appl. 1 (1988) 549\u2013579.","journal-title":"J. Integral Equations Appl."}],"container-title":["Numerical Algorithms"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1019127428490.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1023\/A:1019127428490\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1019127428490.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,7]],"date-time":"2025-07-07T07:21:06Z","timestamp":1751872866000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1023\/A:1019127428490"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1999,2]]},"references-count":17,"journal-issue":{"issue":"3-4","published-print":{"date-parts":[[1999,2]]}},"alternative-id":["329361"],"URL":"https:\/\/doi.org\/10.1023\/a:1019127428490","relation":{},"ISSN":["1017-1398","1572-9265"],"issn-type":[{"type":"print","value":"1017-1398"},{"type":"electronic","value":"1572-9265"}],"subject":[],"published":{"date-parts":[[1999,2]]}}}