Schwarz-Christoffel Mapping

ISBN-13: 9780521807265 / Angielski / Twarda / 2002 / 150 str.

Tobin A. Driscoll; Lloyd N. Trefethen; P. G. Ciarlet

Opis

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. There is a brief appendix illustrating the use of the Schwarz-Christoffel Toolbox for MATLAB, the state-of-the-art package for computation of these maps.

Recenzje

'Altogether an excellent book written by the masters of the SC mapping who command both theory and numerics.' Dieter Gaier, Zbl. MATH

Spis treści

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