{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,7]],"date-time":"2025-10-07T11:49:33Z","timestamp":1759837773691},"reference-count":21,"publisher":"Springer Science and Business Media LLC","issue":"1-2","license":[{"start":{"date-parts":[[1995,1,1]],"date-time":"1995-01-01T00:00:00Z","timestamp":788918400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Adv Comput Math"],"published-print":{"date-parts":[[1995,1]]},"DOI":"10.1007\/bf03028363","type":"journal-article","created":{"date-parts":[[2009,2,3]],"date-time":"2009-02-03T14:55:02Z","timestamp":1233672902000},"page":"115-135","source":"Crossref","is-referenced-by-count":2,"title":["Evaluation of a boundary integral representation for the conformal mapping of the unit disk onto a simply-connected domain"],"prefix":"10.1007","volume":"3","author":[{"given":"S. N.","family":"Chandler-Wilde","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J.","family":"Levesley","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"D. M.","family":"Hough","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"BF03028363_CR1","doi-asserted-by":"crossref","unstructured":"G. Chandler, Superconvergence of numerical solutions to second kind integral equations, PhD Thesis, Australian National University (1979).","DOI":"10.1007\/978-94-009-9130-9_5"},{"key":"BF03028363_CR2","doi-asserted-by":"crossref","first-page":"461","DOI":"10.1090\/S0025-5718-1987-0906182-9","volume":"49","author":"M. Costabel","year":"1987","unstructured":"M. Costabel and E.P. Stephan, On the convergence of collocation methods for boundary integral equations on polygons, Math. Comp. 49 (1987) 461\u2013478.","journal-title":"Math. Comp."},{"key":"BF03028363_CR3","first-page":"532","volume-title":"Computational Methods of Linear Algebra","author":"D.K. Fadeev","year":"1963","unstructured":"D.K. Fadeev and V.N. Fadeeva, in:Computational Methods of Linear Algebra (W.H. Freeman, San Francisco and London, 1963) pp. 532\u2013551."},{"key":"BF03028363_CR4","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-4814-9","volume-title":"Lectures on Complex Approximation","author":"D. Gaier","year":"1987","unstructured":"D. Gaier,Lectures on Complex Approximation (Birkh\u00e4iuser, Boston\/Basel\/Stuttgart, 1987)."},{"key":"BF03028363_CR5","doi-asserted-by":"crossref","first-page":"179","DOI":"10.1007\/BF01409784","volume":"56","author":"M.H. Gutknecht","year":"1989","unstructured":"M.H. Gutknecht, Stationary and almost stationary iterative (k,l)-step methods for linear and non-linear systems of equations, Numer. Math. 56 (1989) 179\u2013213.","journal-title":"Numer. Math."},{"key":"BF03028363_CR6","doi-asserted-by":"crossref","unstructured":"M.H. Gutknecht, in:Numerical Conformal Mapping, ed. L.N. Trefethen (North-Holland, 1986) pp. 31\u201377.","DOI":"10.1016\/0377-0427(86)90130-5"},{"key":"BF03028363_CR7","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1137\/0904001","volume":"4","author":"M.H. Gutknecht","year":"1983","unstructured":"M.H. Gutknecht, Numerical experiments on solving Theodorsen's integral equation for conformal maps with the fast Fourier transform and various non-linear iterative methods, SIAM J. Sci. State. Comp. 4 (1983) 1\u201330.","journal-title":"SIAM J. Sci. State. Comp."},{"key":"BF03028363_CR8","unstructured":"D.M. Hough, The use of splines and singular functions in an integral equation method for conformal mapping, PhD. thesis, Brunel University (1983)."},{"key":"BF03028363_CR9","first-page":"223","volume":"1","author":"D.M. Hough","year":"1981","unstructured":"D.M. Hough, Exact formulae for certain integrals arising in potential theory, IMAJNA 1 (1981) 223\u2013228.","journal-title":"IMAJNA"},{"key":"BF03028363_CR10","first-page":"359","volume":"12","author":"D.M. Hough","year":"1985","unstructured":"D.M. Hough, Jacobi polynomial solutions of first kind integral equations for numerical conformal mapping, JCAM 12 & 13 (1985) 359\u2013369.","journal-title":"JCAM"},{"key":"BF03028363_CR11","doi-asserted-by":"crossref","first-page":"1437","DOI":"10.2140\/pjm.1957.7.1437","volume":"7","author":"R.S. Lehman","year":"1957","unstructured":"R.S. Lehman, Development of the mapping function at an analytic corner, Pacific J. Math 7 (1957) 1437\u20131449.","journal-title":"Pacific J. Math"},{"key":"BF03028363_CR12","volume-title":"Integral Equation Methods in Potential Theory and Elastostatics","author":"M.A. Jaswon","year":"1977","unstructured":"M.A. Jaswon and G.T. Symm,Integral Equation Methods in Potential Theory and Elastostatics (Academic Press, London, 1977)."},{"key":"BF03028363_CR13","volume-title":"Function Spaces","author":"A. Kufner","year":"1977","unstructured":"A. Kufner, O. John and S. Fucik,Function Spaces (Noordhoff, Leiden, 1977)."},{"key":"BF03028363_CR14","unstructured":"J. Levesley, A study of Chebyshev weighted approximations to the solutions of Symm's integral equation for numerical conformal mapping, PhD. Thesis, Coventry Polytechnic (1991)."},{"key":"BF03028363_CR15","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1016\/0377-0427(93)90285-J","volume":"46","author":"D.M. Hough","year":"1993","unstructured":"D.M. Hough, J. Levesley and S.N. Chandler-Wilde, Numerical conformal mapping via Chebyshev weighted solutions of Symm's integral equation, J. Comp. Appl. Math. 46 (1993) 29\u201348.","journal-title":"J. Comp. Appl. Math."},{"key":"BF03028363_CR16","volume-title":"Conformal Mapping","author":"Z. Nehari","year":"1952","unstructured":"Z. Nehari,Conformal Mapping (McGraw-Hill, New York, 1952)."},{"key":"BF03028363_CR17","volume-title":"Approximations with Special Emphasis on Spline Functions","author":"J.R. Rice","year":"1968","unstructured":"J.R. Rice, On the degree of convergence of non-linear spline approximations, in:Approximations with Special Emphasis on Spline Functions, ed. I.J. Schoenberg (Academic Press, New York, 1968)."},{"key":"BF03028363_CR18","doi-asserted-by":"crossref","first-page":"207","DOI":"10.1090\/S0025-5718-1981-0595053-0","volume":"36","author":"C. Schneider","year":"1981","unstructured":"C. Schneider, Product integration for weakly singular integral equations, Math. Comp. 36 (1981) 207\u2013213.","journal-title":"Math. Comp."},{"key":"BF03028363_CR19","doi-asserted-by":"crossref","first-page":"250","DOI":"10.1007\/BF02162088","volume":"9","author":"G.T. Symm","year":"1966","unstructured":"G.T. Symm, An integral equation method in conformal mapping, Numer. Math. 9 (1966) 250\u2013258.","journal-title":"Numer. Math."},{"key":"BF03028363_CR20","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1090\/S0025-5718-1990-0995213-6","volume":"54","author":"Y. Yan","year":"1990","unstructured":"Y. Yan, The collocation method for first kind boundary integral equations on polygonal regions, Math. Comp. 54 (1990) 139\u2013154.","journal-title":"Math. Comp."},{"key":"BF03028363_CR21","first-page":"517","volume":"1","author":"Y. Yan","year":"1989","unstructured":"Y. Yan and I.H. Sloan, On integral equations of the first kind with logarithmic kernels, J. Integral Equations Appl. 1 (1989) 517\u2013548.","journal-title":"J. Integral Equations Appl."}],"container-title":["Advances in Computational Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF03028363.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF03028363\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF03028363","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,23]],"date-time":"2019-05-23T00:33:52Z","timestamp":1558571632000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF03028363"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1995,1]]},"references-count":21,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[1995,1]]}},"alternative-id":["BF03028363"],"URL":"https:\/\/doi.org\/10.1007\/bf03028363","relation":{},"ISSN":["1019-7168","1572-9044"],"issn-type":[{"value":"1019-7168","type":"print"},{"value":"1572-9044","type":"electronic"}],"subject":[],"published":{"date-parts":[[1995,1]]}}}