{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,16]],"date-time":"2025-07-16T13:55:18Z","timestamp":1752674118597,"version":"3.37.3"},"reference-count":38,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2023,1,16]],"date-time":"2023-01-16T00:00:00Z","timestamp":1673827200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,1,16]],"date-time":"2023-01-16T00:00:00Z","timestamp":1673827200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Adv Comput Math"],"published-print":{"date-parts":[[2023,2]]},"DOI":"10.1007\/s10444-022-10006-y","type":"journal-article","created":{"date-parts":[[2023,1,16]],"date-time":"2023-01-16T09:03:11Z","timestamp":1673859791000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Numerical computation of a preimage domain for an infinite strip with rectilinear slits"],"prefix":"10.1007","volume":"49","author":[{"given":"El Mostafa","family":"Kalmoun","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2561-0978","authenticated-orcid":false,"given":"Mohamed M. S.","family":"Nasser","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1734-8228","authenticated-orcid":false,"given":"Matti","family":"Vuorinen","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2023,1,16]]},"reference":[{"key":"10006_CR1","volume-title":"Conformal Invariants","author":"L Ahlfors","year":"1973","unstructured":"Ahlfors, L.: Conformal Invariants. McGraw-Hill, New York (1973)"},{"key":"10006_CR2","volume-title":"Conformal Invariants, Inequalities and Quasiconformal Maps","author":"GD Anderson","year":"1997","unstructured":"Anderson, G.D., Vamanamurthy, M.K., Vuorinen, M.: Conformal Invariants, Inequalities and Quasiconformal Maps. John Wiley, New York (1997)"},{"key":"10006_CR3","doi-asserted-by":"publisher","first-page":"485","DOI":"10.1007\/s13160-013-0113-5","volume":"30","author":"N Aoyama","year":"2013","unstructured":"Aoyama, N., Sakajo, T., Tanaka, H.: A computational theory for spiral point vortices in multiply connected domains with slit boundaries. Jpn. J. Indust. Appl. Math. 30, 485\u2013509 (2013)","journal-title":"Jpn. J. Indust. Appl. Math."},{"key":"10006_CR4","doi-asserted-by":"publisher","first-page":"20190225","DOI":"10.1098\/rspa.2019.0225","volume":"475","author":"P Baddoo","year":"2019","unstructured":"Baddoo, P., Crowdy, D.: Periodic Schwarz\u2013Christoffel mappings with multiple boundaries per period. Proc. Roy. Soc. A 475, 20190225 (2019)","journal-title":"Proc. Roy. Soc. A"},{"key":"10006_CR5","doi-asserted-by":"publisher","first-page":"271","DOI":"10.1016\/j.cam.2019.03.030","volume":"361","author":"S Bezrodnykh","year":"2019","unstructured":"Bezrodnykh, S., Bogatyrev, A., Goreinov, S., Grigoriev, O., Hakula, H., Vuorinen, M.: On capacity computation for symmetric polygonal condensers. J. Comput. Appl. Math. 361, 271\u2013282 (2019)","journal-title":"J. Comput. Appl. Math."},{"key":"10006_CR6","doi-asserted-by":"publisher","first-page":"2653","DOI":"10.1098\/rspa.2005.1480","volume":"461","author":"D Crowdy","year":"2005","unstructured":"Crowdy, D.: The Schwarz\u2013Christoffel mapping to bounded multiply connected polygonal domains. Proc. Roy. Soc. A 461, 2653\u20132678 (2005)","journal-title":"Proc. Roy. Soc. A"},{"key":"10006_CR7","doi-asserted-by":"publisher","first-page":"319","DOI":"10.1017\/S0305004106009832","volume":"142","author":"D Crowdy","year":"2007","unstructured":"Crowdy, D.: Schwarz\u2013Christoffel mappings to unbounded multiply connected polygonal regions. Math. Proc. Camb. Phil. Soc. 142, 319\u2013339 (2007)","journal-title":"Math. Proc. Camb. Phil. Soc."},{"key":"10006_CR8","doi-asserted-by":"publisher","first-page":"9","DOI":"10.1007\/s00162-009-0098-5","volume":"24","author":"D Crowdy","year":"2010","unstructured":"Crowdy, D.: A new calculus for two dimensional vortex dynamics. Theor. Comput. Fluid Dyn. 24, 9\u201324 (2010)","journal-title":"Theor. Comput. Fluid Dyn."},{"key":"10006_CR9","doi-asserted-by":"crossref","unstructured":"Crowdy, D.: Solving problems in multiply connected domains. Society for Industrial and Applied Mathematics Philadelphia (2020)","DOI":"10.1137\/1.9781611976151"},{"key":"10006_CR10","doi-asserted-by":"publisher","first-page":"109","DOI":"10.1007\/s40315-020-00315-y","volume":"21","author":"D Dautova","year":"2021","unstructured":"Dautova, D., Nasyrov, S., Vuorinen, M.: Conformal module of the exterior of two rectilinear slits. Comput. Methods Funct. Theory 21, 109\u2013130 (2021)","journal-title":"Comput. Methods Funct. Theory"},{"key":"10006_CR11","doi-asserted-by":"publisher","first-page":"725","DOI":"10.1007\/BF03321884","volume":"11","author":"T DeLillo","year":"2011","unstructured":"DeLillo, T., Elcrat, A., Kropf, E.: Calculation of resistances for multiply connected domains using Schwarz-Christoffel transformations. Comput. Methods Funct. Theory 11, 725\u2013745 (2011)","journal-title":"Comput. Methods Funct. Theory"},{"key":"10006_CR12","doi-asserted-by":"publisher","first-page":"17","DOI":"10.1007\/BF02789040","volume":"94","author":"T DeLillo","year":"2004","unstructured":"DeLillo, T., Elcrat, A., Pfaltzgraff, J.: Schwarz-Christoffel mapping of multiply connected domains. J. d\u2019Analyse Math. 94, 17\u201347 (2004)","journal-title":"J. d\u2019Analyse Math."},{"key":"10006_CR13","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511546808","volume-title":"Schwarz-Christoffel Mapping","author":"T Driscoll","year":"2002","unstructured":"Driscoll, T., Trefethen, L.: Schwarz-Christoffel Mapping. Cambridge University Press, Cambridge (2002)"},{"key":"10006_CR14","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-0348-0843-9","volume-title":"Condenser Capacities and Symmetrization in Geometric Function Theory","author":"V Dubinin","year":"2014","unstructured":"Dubinin, V.: Condenser Capacities and Symmetrization in Geometric Function Theory. Springer, Basel (2014)"},{"key":"10006_CR15","doi-asserted-by":"publisher","first-page":"745","DOI":"10.1137\/S0036144598349277","volume":"41","author":"M Embree","year":"1999","unstructured":"Embree, M., Trefethen, L.: Green\u2019s functions for multiply connected domains via conformal mapping. SIAM Rev. 41, 745\u2013761 (1999)","journal-title":"SIAM Rev."},{"key":"10006_CR16","doi-asserted-by":"publisher","DOI":"10.1016\/B978-0-08-010067-8.50007-4","volume-title":"Boundary Value Problems","author":"F Gakhov","year":"1966","unstructured":"Gakhov, F.: Boundary Value Problems. Pergamon Press, Oxford (1966)"},{"key":"10006_CR17","volume-title":"Harmonic Measure","author":"J Garnett","year":"2008","unstructured":"Garnett, J., Marshall, D.: Harmonic Measure. Cambridge University Press, Cambridge (2008)"},{"key":"10006_CR18","unstructured":"Greengard, L., Gimbutas, Z.: FMMLIB2D: A MATLAB toolbox for fast multipole method in two dimensions, version 1.2 http:\/\/www.cims.nyu.edu\/cmcl\/fmm2dlib\/fmm2dlib.html. Accessed 1 Jan 2018 (2012)"},{"key":"10006_CR19","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-030-32068-3","volume-title":"Conformally Invariant Metrics and Quasiconformal Mappings. Springer Monographs in Mathematics","author":"P Hariri","year":"2020","unstructured":"Hariri, P., Kl\u00e9n, R., Vuorinen, M.: Conformally Invariant Metrics and Quasiconformal Mappings. Springer Monographs in Mathematics. Springer, Switzerland (2020)"},{"key":"10006_CR20","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-65513-5","volume-title":"Quasiconformal Mappings in the Plane. 2nd edn.","author":"O Lehto","year":"1973","unstructured":"Lehto, O., Virtanen, K.: Quasiconformal Mappings in the Plane. 2nd edn. Springer, Berlin (1973)"},{"key":"10006_CR21","volume-title":"Integral Equations and their Applications to Certain Problems in Mechanics, Mathematical Physics and Technology. 2nd edn.","author":"S Mikhlin","year":"1964","unstructured":"Mikhlin, S.: Integral Equations and their Applications to Certain Problems in Mechanics, Mathematical Physics and Technology. 2nd edn. Pergamon Press, Oxford (1964)"},{"key":"10006_CR22","volume-title":"Singular Integral Equations","author":"N Muskhelishvili","year":"1953","unstructured":"Muskhelishvili, N.: Singular Integral Equations. Noordhoff, Groningen (1953)"},{"key":"10006_CR23","first-page":"189","volume":"44","author":"M Nasser","year":"2015","unstructured":"Nasser, M.: Fast solution of boundary integral equations with the generalized Neumann kernel. Electron. Trans. Numer. Anal. 44, 189\u2013229 (2015)","journal-title":"Electron. Trans. Numer. Anal."},{"key":"10006_CR24","doi-asserted-by":"publisher","first-page":"582","DOI":"10.1007\/s10915-018-0784-9","volume":"78","author":"M Nasser","year":"2019","unstructured":"Nasser, M.: Numerical computing of preimage domains for bounded multiply connected slit domains. J. Sci. Comput. 78, 582\u2013606 (2019)","journal-title":"J. Sci. Comput."},{"key":"10006_CR25","doi-asserted-by":"publisher","first-page":"A1736","DOI":"10.1137\/120901933","volume":"33","author":"M Nasser","year":"2013","unstructured":"Nasser, M., Al-Shihri, F.: A fast boundary integral equation method for conformal mapping of multiply connected regions. SIAM J. Sci. Comput. 33, A1736\u2013A1760 (2013)","journal-title":"SIAM J. Sci. Comput."},{"key":"10006_CR26","doi-asserted-by":"publisher","first-page":"815","DOI":"10.1088\/1361-6544\/aa99a5","volume":"31","author":"M Nasser","year":"2018","unstructured":"Nasser, M., Green, C.: A fast numerical method for ideal fluid flow in domains with multiple stirrers. Nonlinearity 31, 815\u2013837 (2018)","journal-title":"Nonlinearity"},{"key":"10006_CR27","doi-asserted-by":"publisher","first-page":"8","DOI":"10.1007\/s10665-022-10224-9","volume":"134","author":"M Nasser","year":"2022","unstructured":"Nasser, M., Kalmoun, E., Mityushev, V., Rylko, N.: Simulating local fields in carbon nanotube reinforced composites for infinite strip with voids. J. Engrg. Math. 134, 8 (2022)","journal-title":"J. Engrg. Math."},{"key":"10006_CR28","doi-asserted-by":"publisher","first-page":"112865","DOI":"10.1016\/j.cam.2020.112865","volume":"377","author":"M Nasser","year":"2020","unstructured":"Nasser, M., Vuorinen, M.: Numerical computation of the capacity of generalized condensers. J. Comput. Appl. Math. 377, 112865 (2020)","journal-title":"J. Comput. Appl. Math."},{"key":"10006_CR29","first-page":"125617","volume":"389","author":"M Nasser","year":"2021","unstructured":"Nasser, M., Vuorinen, M.: Computation of conformal invariants. Appl. Math. Comput. 389, 125617 (2021)","journal-title":"Appl. Math. Comput."},{"key":"10006_CR30","doi-asserted-by":"publisher","DOI":"10.1142\/7511","volume-title":"Numerical Conformal Mapping: Domain Decomposition and the Mapping of Quadrilaterals","author":"N Papamichael","year":"2010","unstructured":"Papamichael, N., Stylianopoulos, N.: Numerical Conformal Mapping: Domain Decomposition and the Mapping of Quadrilaterals. World Scientific, New Jersey (2010)"},{"issue":"2","key":"10006_CR31","doi-asserted-by":"publisher","first-page":"415","DOI":"10.1007\/BF03321870","volume":"11","author":"T Sakajo","year":"2012","unstructured":"Sakajo, T., Amaya, Y.: Numerical construction of potential flows in multiply connected channel domains. Comput. Methods Funct. Theory 11(2), 415\u2013438 (2012)","journal-title":"Comput. Methods Funct. Theory"},{"key":"10006_CR32","unstructured":"Schinzinger, R., Laura, P.: Conformal mapping. Methods and applications. Dover Publications, Inc., New York (2003)"},{"issue":"5","key":"10006_CR33","first-page":"1","volume":"33","author":"AY Solynin","year":"2021","unstructured":"Solynin, A.Y.: Problems on the loss of heat: herd instinct versus individual feelings. Algebra i Analiz 33(5), 1\u201350 (2021)","journal-title":"Algebra i Analiz"},{"key":"10006_CR34","doi-asserted-by":"publisher","DOI":"10.1007\/b83857","volume-title":"Moduli of Families of Curves for Conformal and Quasiconformal Mappings","author":"A Vasil\u2019ev","year":"2002","unstructured":"Vasil\u2019ev, A.: Moduli of Families of Curves for Conformal and Quasiconformal Mappings. Springer-Verlag, Berlin (2002)"},{"key":"10006_CR35","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0077904","volume-title":"Conformal Geometry and Quasiregular Mappings. Lecture Notes in Mathematics","author":"M Vuorinen","year":"1988","unstructured":"Vuorinen, M.: Conformal Geometry and Quasiregular Mappings. Lecture Notes in Mathematics. Springer-Verlag, Berlin (1988)"},{"key":"10006_CR36","doi-asserted-by":"crossref","unstructured":"Wegmann, R.: Methods for numerical conformal mapping. In: K\u00fchnau, R. (ed.) Handbook of Complex Analysis: Geometric Function Theory, vol. 2, pp 351\u2013477. Elsevier, B. V (2005)","DOI":"10.1016\/S1874-5709(05)80013-7"},{"key":"10006_CR37","doi-asserted-by":"publisher","first-page":"36","DOI":"10.1016\/j.cam.2007.01.021","volume":"214","author":"R Wegmann","year":"2008","unstructured":"Wegmann, R., Nasser, M.: The Riemann-Hilbert problem and the generalized Neumann kernel on multiply connected regions. J. Comput. Appl. Math. 214, 36\u201357 (2008)","journal-title":"J. Comput. Appl. Math."},{"key":"10006_CR38","unstructured":"Wen, G.: Conformal mappings and boundary value problems. American Mathematical Society, Providence RI (1992)"}],"container-title":["Advances in Computational Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-022-10006-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10444-022-10006-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-022-10006-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,1,16]],"date-time":"2023-01-16T09:13:56Z","timestamp":1673860436000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10444-022-10006-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,1,16]]},"references-count":38,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2023,2]]}},"alternative-id":["10006"],"URL":"https:\/\/doi.org\/10.1007\/s10444-022-10006-y","relation":{},"ISSN":["1019-7168","1572-9044"],"issn-type":[{"type":"print","value":"1019-7168"},{"type":"electronic","value":"1572-9044"}],"subject":[],"published":{"date-parts":[[2023,1,16]]},"assertion":[{"value":"9 May 2022","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"8 December 2022","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"16 January 2023","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare no competing interests.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"<!--Emphasis Type='Bold' removed-->Conflict of interest"}}],"article-number":"5"}}