Schwarz-Christoffel Mapping

Erscheinungsjahr 2010
ISBN: 978-0-521-80726-5
Verlag: Cambridge University Press

Buch, Englisch, Band 8, 150 Seiten, Format (B × H): 157 mm x 235 mm, Gewicht: 378 g

Reihe: Cambridge Monographs on Applied and Computational Mathematics

This book provides a comprehensive look at the Schwarz-Christoffel transformation, including its history and foundations, practical computation, common and less common variations, and many applications in fields such as electromagnetism, fluid flow, design and inverse problems, and the solution of linear systems of equations. It is an accessible resource for engineers, scientists, and applied mathematicians who seek more experience with theoretical or computational conformal mapping techniques. The most important theoretical results are stated and proved, but the emphasis throughout remains on concrete understanding and implementation, as evidenced by the 76 figures based on quantitatively correct illustrative examples. There are over 150 classical and modern reference works cited for readers needing more details. There is also a brief appendix illustrating the use of the Schwarz-Christoffel Toolbox for MATLAB, a package for computation of these maps.

Autoren/Hrsg.

Driscoll, Tobin A.

Trefethen, Lloyd N.

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Moderne Anwendungen der Analysis

Inhaltsverzeichnis

Preface; 1. Introduction; 2. Essentials; 3. Numerical methods; 4. Variations; 5. Applications; Using the SC toolbox.