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.
✦ LIBER ✦
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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