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The generalised conjugation operator is introduced so that both sets of equations can be utilised and their least-square solution determined without any additional computational cost, a strategy largely responsible for the stability and efficiency of the proposed method. Numerical tests on various samples including problems with cracked domains suggest global convergence, although this cannot be proved theoretically. The computational efficiency appears significantly higher than that reported earlier by other investigators.<\/p>","DOI":"10.1090\/s0025-5718-98-00957-0","type":"journal-article","created":{"date-parts":[[2002,7,26]],"date-time":"2002-07-26T18:14:28Z","timestamp":1027707268000},"page":"619-639","source":"Crossref","is-referenced-by-count":3,"title":["Numerical conformal mapping based on the generalised conjugation operator"],"prefix":"10.1090","volume":"67","author":[{"given":"Bao","family":"Li","sequence":"first","affiliation":[]},{"given":"Stavros","family":"Syngellakis","sequence":"additional","affiliation":[]}],"member":"14","published-online":{"date-parts":[[1998]]},"reference":[{"key":"1","doi-asserted-by":"crossref","unstructured":"W. H. Chu, Development of a general finite difference approximation for a general domain. Part I: Machine Transformation, J. Comp. 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