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Error-masking phenomena during numerical computation of Schwarz–Christoffel conformal transformations

✍ Scribed by E. Costamagna


Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
96 KB
Volume
20
Category
Article
ISSN
0895-2477

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✦ Synopsis


During two-step Schwarz᎐Christoffel conformal mappings, when the original and the image polygons exhibit shape similarities, error-masking phenomena are likely to occur if ¨ertex crowding in the intermediate transformation plane causes similar accuracy losses both in the original and in the image plane length calculations. A square coaxial line cross-section geometry is used to perform example calculations, and error-masking effects are discussed in se¨ere crowding conditions.


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✍ E. Costamagna 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 166 KB 👁 2 views

The results of ¨arious quadrature rules suitable to compute the Schwarz᎐Christoffel formula are briefly discussed, and a formal integration rule is introduced for an important particular case, leading to compound quadrature procedures that are faster and more accurate than traditional ones.