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dc.contributor.authorBalu, Raja
dc.contributor.authorDeLillo, Thomas K.
dc.identifier.citationBalu, Raja; DeLillo, Thomas K. 2016. Numerical methods for Riemann-Hilbert problems in multiply connected circle domains. Journal of Computational and Applied Mathematics, vol. 307, 1 December 2016:pp 248–261en_US
dc.descriptionClick on the DOI link to access the article (may not be free).en_US
dc.description.abstractRiemann-Hilbert problems in multiply connected domains arise in a number of applications, such as the computation of conformal maps. As an example here, we consider a linear problem for computing the conformal map from the exterior of m disks to the exterior of m linear slits with prescribed inclinations. The map can be represented as a sum of Laurent series centered at the disks and satisfying a certain boundary condition. R. Wegmann developed a method of successive conjugation for finding the Laurent coefficients. We compare this method to two methods using least squares solutions to the problem. The resulting linear system has an underlying structure of the form of the identity plus a low rank operator and can be solved efficiently by conjugate gradient-like methods.en_US
dc.publisherElsevier Science Inc.en_US
dc.relation.ispartofseriesJournal of Computational and Applied Mathematics;v.307
dc.subjectConformal mappingen_US
dc.subjectRiemann-Hilbert problemsen_US
dc.subjectMultiply connected domainsen_US
dc.titleNumerical methods for Riemann-Hilbert problems in multiply connected circle domainsen_US
dc.typeConference paperen_US
dc.rights.holder© 2016 Elsevier B.V. All rights reserved.en_US

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