Search for dissertations about: "conformal mapping"

Showing result 1 - 5 of 16 swedish dissertations containing the words conformal mapping.

2. 1. Numerical Conformal Mappings for Waveguides

   Author : Anders Andersson; Börje Nilsson; Joachim Toft; Michael Benedicks; Växjö universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; waveguide; building block method; numerical conformal mappings; Schwarz–Christoffel mapping; rounded corners method; approximate curve factors; outer polygon method; boundary curvature; zipper method; geodesic algorithm; acoustic wave scattering; electro-magnetic wave scattering; Applied mathematics; Tillämpad matematik; Mathematics; Matematik;

   Abstract : Acoustic or electro-magnetic scattering in a waveguide with varying direction and cross-section can be re-formulated as a two-dimensional scattering problem, provided that the variations take place in only one dimension at a time. By using the so-called Building Block Method, it is possible to construct the scattering properties of a combination of scatterers when the properties of each scatterer are known. READ MORE

4. 2. On Brennan's conjecture in conformal mapping

   Author : Daniel Bertilsson; KTH; []
   Keywords : ;

   Abstract : .... READ MORE

5. 3. Hopf and Frobenius algebras in conformal field theory

   Author : Carl Stigner; Jürgen Fuchs; Jens Fjelstad; Ingo Runkel; Karlstads universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; conformal field theory; category theory; Hopf algebra; Frobenius algebra; coends; mapping class group; defect lines; factorization constraints; Physics; Fysik;

   Abstract : There are several reasons to be interested in conformal field theories in two dimensions. Apart from arising in various physical applications, ranging from statistical mechanics to string theory, conformal field theory is a class of quantum field theories that is interesting on its own. First of all there is a large amount of symmetries. READ MORE

6. 4. Conformal Maps, Bergman Spaces, and Random Growth Models

   Author : Alan Sola; Haakan Hedenmalm; Robert Berman; KTH; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Conformal maps; Bergman kernels; planar growth models; MATHEMATICS; MATEMATIK;

   Abstract : This thesis consists of an introduction and five research papers on topics related to conformal mapping, the Loewner equation and its applications, and Bergman-type spaces of holomorphic functions. The first two papers are devoted to the study of integral means of derivatives of conformal mappings. READ MORE

7. 5. Numerical Conformal Mappings for Regions Bounded by Smooth Curves

   Author : Anders Andersson; Jönköping University; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Schwarz–Christoffel mapping; rounded corners; tangent polygons; outer polygon; zipper algorithm; Applied mathematics; Tillämpad matematik; Numerical analysis; Numerisk analys;

   Abstract : In many applications, conformal mappings are used to transform twodimensional regions into simpler ones. One such region for which conformal mappings are needed is a channel bounded by continuously differentiable curves. READ MORE