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A new approach to standard Schwarz–Christoffel formula calculations
Author(s) -
Costamagna Eugenio
Publication year - 2001
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.10129
Subject(s) - christoffel symbols , polygon (computer graphics) , computation , singularity , simple (philosophy) , microwave , similarity (geometry) , algorithm , algebra over a field , mathematics , computer science , calculus (dental) , image (mathematics) , mathematical analysis , pure mathematics , artificial intelligence , telecommunications , philosophy , epistemology , frame (networking) , medicine , dentistry
A new approach to the computation of the Schwarz–Christoffel formula is presented, which was suggested by previous experience with various algorithms. It exploits the similarity between actual and image polygon geometries to implement singularity cancellations in a simple, yet effective way. Some results are presented for significant mapping examples, and they are briefly discussed. © 2002 John Wiley & Sons, Inc. Microwave Opt Technol Lett 32: 196–199, 2002.