Sequential method conformal mappings

<p>The well-known, very important Schwarz-Christoffel integral does not yet completely solve the problem of mapping a half-plane onto a predetermined polygon. This integral includes parameters (inverse images of the polygon), the relationship of which with the lengths of the edges of the polyg...

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Autor principal: Soninbayar Jambaa (Autor)
Formato: Livro
Publicado em: Annals of Mathematics and Physics - Peertechz Publications, 2023-10-04.
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100 1 0 |a Soninbayar Jambaa  |e author 
245 0 0 |a Sequential method conformal mappings 
260 |b Annals of Mathematics and Physics - Peertechz Publications,   |c 2023-10-04. 
520 |a <p>The well-known, very important Schwarz-Christoffel integral does not yet completely solve the problem of mapping a half-plane onto a predetermined polygon. This integral includes parameters (inverse images of the polygon), the relationship of which with the lengths of the edges of the polygon is not known in advance. The main difficulty in using the Schwarz-Christoffel formula lies in determining these parameters. If this difficulty can be overcome in some effective way, then the Schwarz-Christoffel formula expands the range of conformally mapped regions so much that it can be considered "universal", given that the curvilinear boundary of the mapped region can be approximated by a broken line. Thus, together with the Schwarz-Christoffel formula, a new direction in the theory of functions arises - numerical methods of conformal mapping. However, these approximate numerical methods were developed independently of the Schwarz-Christoffel formula.</p> 
540 |a Copyright © Soninbayar Jambaa et al. 
546 |a en 
655 7 |a Short Communication  |2 local 
856 4 1 |u https://doi.org/10.17352/amp.000095  |z Connect to this object online.