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Book Numerical Conformal Mapping of Long  Slender Regions

Download or read book Numerical Conformal Mapping of Long Slender Regions written by Hans-Jürgen F. Sladeczek and published by . This book was released on 1993 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Numerical Conformal Mapping Using Cross ratios and Delaunay Triangulation

Download or read book Numerical Conformal Mapping Using Cross ratios and Delaunay Triangulation written by Tobin A. Driscoll and published by . This book was released on 1996 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "We propose a new algorithm for computing the Riemann mapping of the unit disk to a polygon, also known as the Schwarz-Christoffel transformation. The new algorithm, CRDT, is based on cross-ratios of the prevertices, and also on cross-ratios of quadrilaterals in a Delaunay triangulation of the polygon. The CRDT algorithm produces an accurate representation of the Riemann mapping even in the presence of arbitrary long, thin regions in the polygon, unlike any previous conformal mapping algorithm. We believe that CRDT can never fail to converge to the correct Riemann mapping, but the correctness and convergence proof depend on conjectures that we have so far not been able to prove. We demonstrate convergence with computational experiments. The Riemann mapping has applications to problems in two-dimensional potential theory and to finite-difference mesh generation. We use CRDT to produce a mapping and solve a boundary value problem on long, thin regions for which no other algorithm can solve these problems."

Book Numerical Conformal Mapping

Download or read book Numerical Conformal Mapping written by Nicolas Papamichael and published by World Scientific. This book was released on 2010 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a unique monograph on numerical conformal mapping that gives a comprehensive account of the theoretical, computational and application aspects of the problems of determining conformal modules of quadrilaterals and of mapping conformally onto a rectangle. It contains a detailed study of the theory and application of a domain decomposition method for computing the modules and associated conformal mappings of elongated quadrilaterals, of the type that occur in engineering applications. The reader will find a highly useful and up-to-date survey of available numerical methods and associated computer software for conformal mapping. The book also highlights the crucial role that function theory plays in the development of numerical conformal mapping methods, and illustrates the theoretical insight that can be gained from the results of numerical experiments.This is a valuable resource for mathematicians, who are interested in numerical conformal mapping and wish to study some of the recent developments in the subject, and for engineers and scientists who use, or would like to use, conformal transformations and wish to find out more about the capabilities of modern numerical conformal mapping.

Book Conformal Mapping

    Book Details:
  • Author : Roland Schinzinger
  • Publisher : Courier Corporation
  • Release : 2012-04-30
  • ISBN : 0486150747
  • Pages : 628 pages

Download or read book Conformal Mapping written by Roland Schinzinger and published by Courier Corporation. This book was released on 2012-04-30 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: Beginning with a brief survey of some basic mathematical concepts, this graduate-level text proceeds to discussions of a selection of mapping functions, numerical methods and mathematical models, nonplanar fields and nonuniform media, static fields in electricity and magnetism, and transmission lines and waveguides. Other topics include vibrating membranes and acoustics, transverse vibrations and buckling of plates, stresses and strains in an elastic medium, steady state heat conduction in doubly connected regions, transient heat transfer in isotropic and anisotropic media, and fluid flow. Revision of 1991 ed. 247 figures. 38 tables. Appendices.

Book Numerical Conformal Mapping for Symmetric Regions Via the Bergman Kernel

Download or read book Numerical Conformal Mapping for Symmetric Regions Via the Bergman Kernel written by Ali Hassan Mohamed Murid and published by . This book was released on 1995 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Numerical Conformal Mapping

Download or read book Numerical Conformal Mapping written by Lloyd Nicholas Trefethen and published by North Holland. This book was released on 1986 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Numerical Conformal Mapping for Exterior Regions Via the Kerzman Stein Kernel and the Cauchy s Integral Formula

Download or read book Numerical Conformal Mapping for Exterior Regions Via the Kerzman Stein Kernel and the Cauchy s Integral Formula written by Rahifa Ranom and published by . This book was released on 2005 with total page 97 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Computational Conformal Mapping

Download or read book Computational Conformal Mapping written by Prem Kythe and published by Springer Science & Business Media. This book was released on 1998-12-08 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: A textbook for a graduate class or for self-study by students of applied mathematics and engineering. Assumes at least a first course in complex analysis with emphasis on conformal mapping and Schwarz- Christoffel transformation, a first course in numerical analysis, a solid working competence with the Mathematica software, and some additional knowledge of programming languages. Introduces the theory and computation of conformal mappings of regions that are connected, simply or multiply, onto the unit disk or canonical regions in order to solve boundary value problems. Annotation copyrighted by Book News, Inc., Portland, OR

Book Computational Conformal Mapping

Download or read book Computational Conformal Mapping written by Prem K. Kythe and published by Birkhauser. This book was released on 1998-01-01 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: A textbook for a graduate class or for self-study by students of applied mathematics and engineering. Assumes at least a first course in complex analysis with emphasis on conformal mapping and Schwarz- Christoffel transformation, a first course in numerical analysis, a solid working competence with the Mathematica software, and some additional knowledge of programming languages. Introduces the theory and computation of conformal mappings of regions that are connected, simply or multiply, onto the unit disk or canonical regions in order to solve boundary value problems. Annotation copyrighted by Book News, Inc., Portland, OR

Book A Numerical Conformal Mapping

Download or read book A Numerical Conformal Mapping written by M. Javad Sorouri and published by . This book was released on 1996 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Conformal Mapping

Download or read book Conformal Mapping written by Ludwig Bieberbach and published by . This book was released on 1953 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Theoretical and Numerical Analysis of Conformal Mapping

Download or read book Theoretical and Numerical Analysis of Conformal Mapping written by and published by . This book was released on 1981 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: MICROFICHE COPY AVAILABLE IN ARCHIVES AND SCIENCE.

Book Applications of Complex Variables

Download or read book Applications of Complex Variables written by Foluso Ladeinde and published by Walter de Gruyter GmbH & Co KG. This book was released on 2024-05-06 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of applied complex variables is so fundamental that most of the other topics in advanced engineering mathematics (AEM) depend on it. The present book contains complete coverage of the subject, summarizing the more elementary aspects that you find in most AEM textbooks and delving into the more specialized topics that are less commonplace. The book represents a one-stop reference for complex variables in engineering analysis. The applications of conformal mapping in this book are significantly more extensive than in other AEM textbooks. The treatments of complex integral transforms enable a much larger class of functions that can be transformed, resulting in an expanded use of complex-transform techniques in engineering analysis. The inclusion of the asymptotics of complex integrals enables the analysis of models with irregular singular points. The book, which has more than 300 illustrations, is generous with realistic example problems.

Book Conformal Mapping of Simply Connected Regions

Download or read book Conformal Mapping of Simply Connected Regions written by Joseph Ross Brown and published by . This book was released on 1949 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: