Computational Conformal Mapping

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Publisher : Springer Science & Business Media
ISBN 13 :
Total Pages : 488 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Computational Conformal Mapping by : Prem Kythe

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 488 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

Applied and Computational Complex Analysis, Volume 1

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Publisher : John Wiley & Sons
ISBN 13 : 9780471608417
Total Pages : 704 pages
Book Rating : 4.6/5 (84 download)

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Book Synopsis Applied and Computational Complex Analysis, Volume 1 by : Peter Henrici

Download or read book Applied and Computational Complex Analysis, Volume 1 written by Peter Henrici and published by John Wiley & Sons. This book was released on 1988-02-23 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents applications as well as the basic theory of analytic functions of one or several complex variables. The first volume discusses applications and basic theory of conformal mapping and the solution of algebraic and transcendental equations. Volume Two covers topics broadly connected with ordinary differental equations: special functions, integral transforms, asymptotics and continued fractions. Volume Three details discrete fourier analysis, cauchy integrals, construction of conformal maps, univalent functions, potential theory in the plane and polynomial expansions.

Computational Conformal Geometry

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Publisher :
ISBN 13 :
Total Pages : 324 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Computational Conformal Geometry by : Xianfeng David Gu

Download or read book Computational Conformal Geometry written by Xianfeng David Gu and published by . This book was released on 2008 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Conformal Mapping

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Publisher : World Scientific
ISBN 13 : 9814289531
Total Pages : 242 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis Numerical Conformal Mapping by : Nicolas Papamichael

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.

Computational Conformal Mapping

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Publisher : Springer Science & Business Media
ISBN 13 : 1461220025
Total Pages : 479 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Computational Conformal Mapping by : Prem Kythe

Download or read book Computational Conformal Mapping written by Prem Kythe and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book evolved out of a graduate course given at the University of New Orleans in 1997. The class consisted of students from applied mathematics andengineering. Theyhadthebackgroundofatleastafirstcourseincomplex analysiswithemphasisonconformalmappingandSchwarz-Christoffeltrans formation, a firstcourse in numerical analysis, and good to excellent working knowledgeofMathematica* withadditionalknowledgeofsomeprogramming languages. Sincetheclasshad nobackground inIntegralEquations, thechap tersinvolvingintegralequationformulations werenotcoveredindetail, except for Symm's integral equation which appealed to a subsetofstudents who had some training in boundary element methods. Mathematica was mostly used for computations. In fact, it simplified numerical integration and other oper ations very significantly, which would have otherwise involved programming inFortran, C, orotherlanguageofchoice, ifclassical numericalmethods were attempted. Overview Exact solutions of boundary value problems for simple regions, such as cir cles, squares or annuli, can be determined with relative ease even where the boundaryconditionsarerathercomplicated. Green'sfunctionsforsuchsimple regions are known. However, for regions with complex structure the solution ofa boundary value problem often becomes more difficult, even for a simple problemsuchastheDirichletproblem. Oneapproachtosolvingthesedifficult problems is to conformally transform a given multiply connected region onto *Mathematica is a registered trade mark of Wolfram Research, Inc. ix x PREFACE simpler canonical regions. This will, however, result in change not only in the region and the associated boundary conditions but also in the governing differential equation. As compared to the simply connected regions, confor mal mapping ofmultiply connected regions suffers from severe limitations, one of which is the fact that equal connectivity ofregions is not a sufficient condition to effect a reciprocally connected map ofone region onto another.

Conformal Geometry

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Publisher : Springer
ISBN 13 : 3319753320
Total Pages : 318 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Conformal Geometry by : Miao Jin

Download or read book Conformal Geometry written by Miao Jin and published by Springer. This book was released on 2018-04-10 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an essential overview of computational conformal geometry applied to fundamental problems in specific engineering fields. It introduces readers to conformal geometry theory and discusses implementation issues from an engineering perspective. The respective chapters explore fundamental problems in specific fields of application, and detail how computational conformal geometric methods can be used to solve them in a theoretically elegant and computationally efficient way. The fields covered include computer graphics, computer vision, geometric modeling, medical imaging, and wireless sensor networks. Each chapter concludes with a summary of the material covered and suggestions for further reading, and numerous illustrations and computational algorithms complement the text. The book draws on courses given by the authors at the University of Louisiana at Lafayette, the State University of New York at Stony Brook, and Tsinghua University, and will be of interest to senior undergraduates, graduates and researchers in computer science, applied mathematics, and engineering.

The Cauchy Transform, Potential Theory and Conformal Mapping

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Publisher : CRC Press
ISBN 13 : 1498727212
Total Pages : 221 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis The Cauchy Transform, Potential Theory and Conformal Mapping by : Steven R. Bell

Download or read book The Cauchy Transform, Potential Theory and Conformal Mapping written by Steven R. Bell and published by CRC Press. This book was released on 2015-11-04 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Cauchy Transform, Potential Theory and Conformal Mapping explores the most central result in all of classical function theory, the Cauchy integral formula, in a new and novel way based on an advance made by Kerzman and Stein in 1976.The book provides a fast track to understanding the Riemann Mapping Theorem. The Dirichlet and Neumann problems f

Schwarz-Christoffel Mapping

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Publisher :
ISBN 13 : 9780511044403
Total Pages : 132 pages
Book Rating : 4.0/5 (444 download)

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Book Synopsis Schwarz-Christoffel Mapping by : Tobin Allen Driscoll

Download or read book Schwarz-Christoffel Mapping written by Tobin Allen Driscoll and published by . This book was released on 2002 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive look at the Schwarz-Christoffel transformation, including its history and foundations, practical computation, common and less common variations, and its many applications. It is intended as an accessible resource for engineers, scientists, and applied mathematicians who may not have much prior experience with theoretical or computational conformal mapping techniques.

Conformal Mapping

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Publisher : Courier Corporation
ISBN 13 : 0486150747
Total Pages : 628 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Conformal Mapping by : Roland Schinzinger

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.

Intelligent Computing

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Publisher : Springer Nature
ISBN 13 : 3030522490
Total Pages : 841 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Intelligent Computing by : Kohei Arai

Download or read book Intelligent Computing written by Kohei Arai and published by Springer Nature. This book was released on 2020-07-03 with total page 841 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the core areas of computing and their applications in the real world. Presenting papers from the Computing Conference 2020 covers a diverse range of research areas, describing various detailed techniques that have been developed and implemented. The Computing Conference 2020, which provided a venue for academic and industry practitioners to share new ideas and development experiences, attracted a total of 514 submissions from pioneering academic researchers, scientists, industrial engineers and students from around the globe. Following a double-blind, peer-review process, 160 papers (including 15 poster papers) were selected to be included in these proceedings. Featuring state-of-the-art intelligent methods and techniques for solving real-world problems, the book is a valuable resource and will inspire further research and technological improvements in this important area.

Conformal Maps And Geometry

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Publisher : World Scientific
ISBN 13 : 178634615X
Total Pages : 240 pages
Book Rating : 4.7/5 (863 download)

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Book Synopsis Conformal Maps And Geometry by : Dmitry Beliaev

Download or read book Conformal Maps And Geometry written by Dmitry Beliaev and published by World Scientific. This book was released on 2019-11-19 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'I very much enjoyed reading this book … Each chapter comes with well thought-out exercises, solutions to which are given at the end of the chapter. Conformal Maps and Geometry presents key topics in geometric function theory and the theory of univalent functions, and also prepares the reader to progress to study the SLE. It succeeds admirably on both counts.'MathSciNetGeometric function theory is one of the most interesting parts of complex analysis, an area that has become increasingly relevant as a key feature in the theory of Schramm-Loewner evolution.Though Riemann mapping theorem is frequently explored, there are few texts that discuss general theory of univalent maps, conformal invariants, and Loewner evolution. This textbook provides an accessible foundation of the theory of conformal maps and their connections with geometry.It offers a unique view of the field, as it is one of the first to discuss general theory of univalent maps at a graduate level, while introducing more complex theories of conformal invariants and extremal lengths. Conformal Maps and Geometry is an ideal resource for graduate courses in Complex Analysis or as an analytic prerequisite to study the theory of Schramm-Loewner evolution.

Analytical and Computational Methods in Electromagnetics

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Publisher : Artech House
ISBN 13 : 1596933860
Total Pages : 528 pages
Book Rating : 4.5/5 (969 download)

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Book Synopsis Analytical and Computational Methods in Electromagnetics by : Ramesh Garg

Download or read book Analytical and Computational Methods in Electromagnetics written by Ramesh Garg and published by Artech House. This book was released on 2008 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Achieve optimal microwave system performance by mastering the principles and methods underlying today's powerful computational tools and commercial software in electromagnetics. This authoritative resource offers you clear and complete explanation of this essential electromagnetics knowledge, providing you with the analytical background you need to understand such key approaches as MoM (method of moments), FDTD (Finite Difference Time Domain) and FEM (Finite Element Method), and Green's functions. This comprehensive book includes all math necessary to master the material. Moreover, it features numerous solved problems that help ensure your understanding of key concepts throughout the book.

A Short Course in Computational Geometry and Topology

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Publisher : Springer Science & Business
ISBN 13 : 3319059572
Total Pages : 105 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis A Short Course in Computational Geometry and Topology by : Herbert Edelsbrunner

Download or read book A Short Course in Computational Geometry and Topology written by Herbert Edelsbrunner and published by Springer Science & Business. This book was released on 2014-04-28 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents a short course in computational geometry and topology. In the first part the book covers Voronoi diagrams and Delaunay triangulations, then it presents the theory of alpha complexes which play a crucial role in biology. The central part of the book is the homology theory and their computation, including the theory of persistence which is indispensable for applications, e.g. shape reconstruction. The target audience comprises researchers and practitioners in mathematics, biology, neuroscience and computer science, but the book may also be beneficial to graduate students of these fields.

Complex Analysis with MATHEMATICA®

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Publisher : Cambridge University Press
ISBN 13 : 0521836263
Total Pages : 6 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Complex Analysis with MATHEMATICA® by : William T. Shaw

Download or read book Complex Analysis with MATHEMATICA® written by William T. Shaw and published by Cambridge University Press. This book was released on 2006-04-20 with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a way of learning complex analysis, using Mathematica. Includes CD with electronic version of the book.

Handbook of Conformal Mappings and Applications

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Publisher : CRC Press
ISBN 13 : 135171872X
Total Pages : 841 pages
Book Rating : 4.3/5 (517 download)

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Book Synopsis Handbook of Conformal Mappings and Applications by : Prem K. Kythe

Download or read book Handbook of Conformal Mappings and Applications written by Prem K. Kythe and published by CRC Press. This book was released on 2019-03-04 with total page 841 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of conformal mappings is a major part of geometric function theory that gained prominence after the publication of the Riemann mapping theorem — for every simply connected domain of the extended complex plane there is a univalent and meromorphic function that maps such a domain conformally onto the unit disk. The Handbook of Conformal Mappings and Applications is a compendium of at least all known conformal maps to date, with diagrams and description, and all possible applications in different scientific disciplines, such as: fluid flows, heat transfer, acoustics, electromagnetic fields as static fields in electricity and magnetism, various mathematical models and methods, including solutions of certain integral equations.

Solving Problems in Multiply Connected Domains

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Publisher : SIAM
ISBN 13 : 1611976154
Total Pages : 457 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Solving Problems in Multiply Connected Domains by : Darren Crowdy

Download or read book Solving Problems in Multiply Connected Domains written by Darren Crowdy and published by SIAM. This book was released on 2020-04-20 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: Whenever two or more objects or entities—be they bubbles, vortices, black holes, magnets, colloidal particles, microorganisms, swimming bacteria, Brownian random walkers, airfoils, turbine blades, electrified drops, magnetized particles, dislocations, cracks, or heterogeneities in an elastic solid—interact in some ambient medium, they make holes in that medium. Such holey regions with interacting entities are called multiply connected. This book describes a novel mathematical framework for solving problems in two-dimensional, multiply connected regions. The framework is built on a central theoretical concept: the prime function, whose significance for the applied sciences, especially for solving problems in multiply connected domains, has been missed until recent work by the author. This monograph is a one-of-a-kind treatise on the prime function associated with multiply connected domains and how to use it in applications. The book contains many results familiar in the simply connected, or single-entity, case that are generalized naturally to any number of entities, in many instances for the first time. Solving Problems in Multiply Connected Domains is aimed at applied and pure mathematicians, engineers, physicists, and other natural scientists; the framework it describes finds application in a diverse array of contexts. The book provides a rich source of project material for undergraduate and graduate courses in the applied sciences and could serve as a complement to standard texts on advanced calculus, potential theory, partial differential equations and complex analysis, and as a supplement to texts on applied mathematical methods in engineering and science.

Experiments in the Computation of Conformal Maps

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Publisher :
ISBN 13 :
Total Pages : 72 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Experiments in the Computation of Conformal Maps by : John Todd

Download or read book Experiments in the Computation of Conformal Maps written by John Todd and published by . This book was released on 1955 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt: