{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,22]],"date-time":"2025-10-22T22:01:26Z","timestamp":1761170486210,"version":"build-2065373602"},"reference-count":32,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2018,10,3]],"date-time":"2018-10-03T00:00:00Z","timestamp":1538524800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Sci Comput"],"published-print":{"date-parts":[[2019,4]]},"DOI":"10.1007\/s10915-018-0842-3","type":"journal-article","created":{"date-parts":[[2018,10,3]],"date-time":"2018-10-03T02:42:26Z","timestamp":1538534546000},"page":"103-127","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Numerical Methods for Cauchy Bisingular Integral Equations of the First Kind on the Square"],"prefix":"10.1007","volume":"79","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4398-8990","authenticated-orcid":false,"given":"Luisa","family":"Fermo","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4078-620X","authenticated-orcid":false,"given":"Maria Grazia","family":"Russo","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0937-620X","authenticated-orcid":false,"given":"Giada","family":"Serafini","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2018,10,3]]},"reference":[{"key":"842_CR1","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-009-9130-9","volume-title":"The Application and Numerical Solution of Integral Equations","author":"RS Anderssen","year":"1980","unstructured":"Anderssen, R.S., de Hoog, F.R., Lukas, M.A.: The Application and Numerical Solution of Integral Equations. Sijthoff and Noordhoff, Groningen (1980)"},{"key":"842_CR2","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","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. Cambridge University Press, Cambridge (1997)"},{"key":"842_CR3","doi-asserted-by":"publisher","first-page":"185","DOI":"10.1016\/0377-0427(92)90266-Z","volume":"43","author":"D Berthold","year":"1992","unstructured":"Berthold, D., Hoppe, W., Silbermann, B.: A fast algorithm for solving the generalized airfoil equation. J. Comput. Appl. Math. 43, 185\u2013219 (1992)","journal-title":"J. Comput. Appl. Math."},{"key":"842_CR4","first-page":"131","volume":"60","author":"G Criscuolo","year":"1995","unstructured":"Criscuolo, G., Mastroianni, G.: Fourier and Lagrange operators in some weighted Sobolev-type spaces. Acta Sci. Mater. 60, 131\u2013148 (1995)","journal-title":"Acta Sci. Mater."},{"issue":"2","key":"842_CR5","doi-asserted-by":"publisher","first-page":"190","DOI":"10.1007\/BF01934184","volume":"27","author":"JA Cuminato","year":"1987","unstructured":"Cuminato, J.A.: On the uniform convergence of a collocation method for a class of singular integral equations. BIT 27(2), 190\u2013202 (1987)","journal-title":"BIT"},{"key":"842_CR6","doi-asserted-by":"publisher","first-page":"241","DOI":"10.1216\/JIE-2012-24-2-241","volume":"24","author":"MC Bonis De","year":"2012","unstructured":"De Bonis, M.C., Laurita, C.: A quadrature method for systems of Cauchy singular integral equations. J. Integral Equ. Appl. 24, 241\u2013270 (2012)","journal-title":"J. Integral Equ. Appl."},{"key":"842_CR7","doi-asserted-by":"publisher","first-page":"1351","DOI":"10.1137\/050626934","volume":"44","author":"MC Bonis De","year":"2006","unstructured":"De Bonis, M.C., Mastroianni, G.: Projection methods and condition numbers in uniform norm for Fredholm and Cauchy singular integral equations. SIAM J. Numer. Anal. 44, 1351\u20131374 (2006)","journal-title":"SIAM J. Numer. Anal."},{"key":"842_CR8","doi-asserted-by":"publisher","first-page":"237","DOI":"10.1216\/jiea\/1181076014","volume":"9","author":"D Elliott","year":"1997","unstructured":"Elliott, D., Lifanov, I.K., Litvinchuk, G.S.: The solution in a class of singular functions of Cauchy type bisingular integral equations. J. Integral Equ. Appl. 9, 237\u2013251 (1997)","journal-title":"J. Integral Equ. Appl."},{"key":"842_CR9","doi-asserted-by":"publisher","DOI":"10.1016\/B978-0-08-010067-8.50007-4","volume-title":"Boundary Value Problems","author":"FD Gakhov","year":"1966","unstructured":"Gakhov, F.D.: Boundary Value Problems. Pergamon Press, Oxford (1966)"},{"key":"842_CR10","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198506720.001.0001","volume-title":"Orthogonal Polynomials: Computation and Approximation, Numerical Mathematics and Scientific Computation","author":"W Gautschi","year":"2004","unstructured":"Gautschi, W.: Orthogonal Polynomials: Computation and Approximation, Numerical Mathematics and Scientific Computation. Oxford University Press, Oxford (2004)"},{"key":"842_CR11","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-1466-1","volume-title":"Solution Methods for Integral Equations: Theory and Applications","author":"MA Golberg","year":"1979","unstructured":"Golberg, M.A.: Solution Methods for Integral Equations: Theory and Applications. Plenum Press, New York (1979)"},{"key":"842_CR12","first-page":"127","volume":"9","author":"MA Golberg","year":"1985","unstructured":"Golberg, M.A.: The numerical solution of Cauchy singular integral equations with constant coefficients. J. Integral Equ. 9, 127\u2013151 (1985)","journal-title":"J. Integral Equ."},{"issue":"2\u20133","key":"842_CR13","first-page":"117","volume":"19","author":"R Hagen","year":"1985","unstructured":"Hagen, R., Silbermann, B.: A finite element collocation method for bisingular integral equations. Appl. Anal. 19(2\u20133), 117\u2013135 (1985)","journal-title":"Appl. Anal."},{"key":"842_CR14","doi-asserted-by":"publisher","first-page":"201","DOI":"10.1016\/S0377-0427(96)00128-8","volume":"77","author":"P Junghanns","year":"1997","unstructured":"Junghanns, P., Luther, U.: Cauchy singular integral equations in spaces of continuous functions and methods for their numerical solution. J. Comput. Appl. Math. 77, 201\u2013237 (1997)","journal-title":"J. Comput. Appl. Math."},{"key":"842_CR15","doi-asserted-by":"crossref","unstructured":"Junghanns, P., Luther, U.: Uniform convergence of a fast algorithm for a Cauchy singular integral equations. In: Proceedings of the Sixth Conference of the International Linear Algebra Society (Chemnitz 1996), Linear Algebra Applications, vol. 275\/276, pp. 327\u2013347 (1998)","DOI":"10.1016\/S0024-3795(97)10025-8"},{"issue":"3","key":"842_CR16","first-page":"15008","volume":"8","author":"LE Khairullina","year":"2016","unstructured":"Khairullina, L.E.: Convergence of approximate solutions to two-dimensional singular integral equation with cauchy kernel in the integral metrics. Int. J. Pharm. Technol. 8(3), 15008\u201315016 (2016)","journal-title":"Int. J. Pharm. Technol."},{"key":"842_CR17","doi-asserted-by":"publisher","first-page":"23","DOI":"10.1016\/S0377-0427(99)00279-4","volume":"116","author":"C Laurita","year":"2000","unstructured":"Laurita, C.: Condition numbers for singular integral equations in weighted $$l^2$$ l 2 spaces. J. Comput. Appl. Math. 116, 23\u201340 (2000)","journal-title":"J. Comput. Appl. Math."},{"key":"842_CR18","first-page":"307","volume-title":"Operator Theory: Advances and Applications","author":"C Laurita","year":"2001","unstructured":"Laurita, C., Mastroianni, G.: Revisiting a quadrature method for Cauchy singular integral equations with a weakly singular perturbation kernel. In: Elschner, J., Gohberg, I., Silbermann, B. (eds.) Operator Theory: Advances and Applications, vol. 121, pp. 307\u2013326. Birkh\u00e4user Verlag, Basel (2001)"},{"key":"842_CR19","doi-asserted-by":"crossref","unstructured":"Laurita, C., Mastroianni, G., Russo, M.G.: Revisiting CSIE in $$L^2$$ L 2 : condition numbers and inverse theorems. In: Integral and Integro Differential Equations, Series of Mathematical Analysis and Applications, vol.\u00a02, Gordon and Breach, Amsterdam (2000)","DOI":"10.1201\/9781482287462-13"},{"key":"842_CR20","volume-title":"Hipersingular Integral Equations and Their Applications","author":"IK Lifanov","year":"2004","unstructured":"Lifanov, I.K., Poltavskii, L.N., Vainikko, G.M.: Hipersingular Integral Equations and Their Applications. CRC Press, New York (2004)"},{"key":"842_CR21","volume-title":"Chebyshev Polynomials","author":"JC Mason","year":"2003","unstructured":"Mason, J.C., Handscomb, D.C.: Chebyshev Polynomials. Chapman and Hall\/CRC, Boca Raton (2003)"},{"key":"842_CR22","volume-title":"Interpolation Processes Basic Theory and Applications. Springer Monographs in Mathematics","author":"G Mastroianni","year":"2009","unstructured":"Mastroianni, G., Milovanovic, G.V.: Interpolation Processes Basic Theory and Applications. Springer Monographs in Mathematics. Springer, Berlin (2009)"},{"key":"842_CR23","doi-asserted-by":"publisher","first-page":"205","DOI":"10.1216\/jiea\/1181075682","volume":"4","author":"G Mastroianni","year":"1992","unstructured":"Mastroianni, G., Pr\u00f6ssdorf, S.: A quadrature method for Cauchy integral equations with weakly singular perturbation kernel. J. Integral Equ. Appl. 4, 205\u2013228 (1992)","journal-title":"J. Integral Equ. Appl."},{"key":"842_CR24","doi-asserted-by":"publisher","first-page":"257","DOI":"10.1007\/s003659900107","volume":"15","author":"G Mastroianni","year":"1999","unstructured":"Mastroianni, G., Russo, M.G.: Lagrange interpolation in weighted Besov spaces. Constr. Approx. 15, 257\u2013289 (1999)","journal-title":"Constr. Approx."},{"issue":"2","key":"842_CR25","first-page":"257","volume":"1","author":"G Mastroianni","year":"2009","unstructured":"Mastroianni, G., Russo, M.G.: Fourier sums in weighted spaces of functions. A survey. Jaen J. Approx. 1(2), 257\u2013291 (2009)","journal-title":"Jaen J. Approx."},{"key":"842_CR26","volume-title":"Multidimentional Singular Integrals and Integral Equations","author":"SG Mikhlin","year":"1965","unstructured":"Mikhlin, S.G.: Multidimentional Singular Integrals and Integral Equations. Pergamon Press, New York (1965)"},{"key":"842_CR27","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-61631-0","volume-title":"Singular Integral Operators","author":"SG Mikhlin","year":"1986","unstructured":"Mikhlin, S.G., Pr\u00f6ssdorf, S.: Singular Integral Operators. Akademie, Berlin (1986)"},{"key":"842_CR28","volume-title":"Singular Integral Equations","author":"NI Muskhelishvili","year":"1953","unstructured":"Muskhelishvili, N.I.: Singular Integral Equations. Noordhoff, Groningen (1953)"},{"key":"842_CR29","doi-asserted-by":"crossref","first-page":"2318","DOI":"10.1016\/j.amc.2011.07.053","volume":"218","author":"D Occorsio","year":"2011","unstructured":"Occorsio, D., Russo, M.G.: Numerical methods for Fredholm integral equations on the square. Appl. Math. Comput. 218, 2318\u20132333 (2011)","journal-title":"Appl. Math. Comput."},{"key":"842_CR30","volume-title":"Integral Equations in Elasticity","author":"VZ Parton","year":"1982","unstructured":"Parton, V.Z., Perlin, P.I.: Integral Equations in Elasticity. Mir Publisher, Moscow (1982)"},{"key":"842_CR31","volume-title":"Numerical Analysis for Integral and Related Operator Equations","author":"S Pr\u00f6ssdorf","year":"1991","unstructured":"Pr\u00f6ssdorf, S., Silbermann, B.: Numerical Analysis for Integral and Related Operator Equations. Akademie, Berlin (1991)"},{"key":"842_CR32","volume-title":"Theory of Approximation of Functions of a Real Variable","author":"AF Timan","year":"1994","unstructured":"Timan, A.F.: Theory of Approximation of Functions of a Real Variable. Dover, New York (1994)"}],"container-title":["Journal of Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-018-0842-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10915-018-0842-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-018-0842-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,22]],"date-time":"2025-10-22T02:24:29Z","timestamp":1761099869000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10915-018-0842-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,10,3]]},"references-count":32,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2019,4]]}},"alternative-id":["842"],"URL":"https:\/\/doi.org\/10.1007\/s10915-018-0842-3","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"type":"print","value":"0885-7474"},{"type":"electronic","value":"1573-7691"}],"subject":[],"published":{"date-parts":[[2018,10,3]]},"assertion":[{"value":"16 June 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"24 September 2018","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"26 September 2018","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"3 October 2018","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}