Schwarz-Christoffel integrals
نویسندگان
چکیده
منابع مشابه
Schwarz-Christoffel transformations
It is helpful to have available systematic ways to find a variety useful conformal mappings. Our text treats one such method: bilinear transformations. Here we study a second: Schwarz-Christoffel transformations. These are discussed in many references; I recommend particularly [1], a lovely book on complex variable theory which has a decided applied slant. The Schwarz-Christoffel transformation...
متن کاملSchwarz-christoffel Mapping of Multiply Connected Domains
A Schwarz-Christoffel mapping formula is established for polygonal domains of finite connectivity m ≥ 2 thereby extending the results of Christoffel (1867) and Schwarz (1869) for m = 1 and Komatu (1945), m = 2. A formula for f, the conformal map of the exterior of m bounded disks to the exterior of m bounded, disjoint polygons, is derived. The derivation characterizes the global preSchwarzian f...
متن کاملA Modified Schwarz-christoffel Transformation for Elongated
The numerical computation of a conformal map from a disk or a half plane onto an elongated region is frequently difficult, or impossible, because of the so-called crowding phenomenon. This paper shows that this problem can often be avoided by using another elongated region, an infinite strip, as the standard domain. A transformation similar to the Schwarz-Christoffel formula maps this strip ont...
متن کاملSchwarz{christoffel Mapping in the Computer Era
Thanks to powerful algorithms and computers, Schwarz{ Christooel mapping is a practical reality. With the ability to compute have come new mathematical ideas. The state of the art is surveyed. 1. Introduction. In the past twenty years, because of new algorithms and new computers, Schwarz{Christooel conformal mapping of polygons has matured to a technology that can be used at the touch of a butt...
متن کاملA Generalization of the Schwarz-Christoffel Transformation.
The classical Schwarz-Christoffel transformation provides a formula for the conformal mapping of the half-plane onto a plane polygon. A generalization enlarging the class of image domains to include many-sheeted plane polygons with interior winding points was known already to at least Schwarz and Schlifli.' This note is concerned with a further simple extension of the formula which delivers a u...
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ژورنال
عنوان ژورنال: Časopis pro pěstování matematiky
سال: 1971
ISSN: 0528-2195
DOI: 10.21136/cpm.1971.108513