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Experiments In The Computation Of Conformal Maps
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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.
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.
Book Synopsis Projects and Publications of the National Applied Mathematics Laboratories by :
Download or read book Projects and Publications of the National Applied Mathematics Laboratories written by and published by . This book was released on 1947 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Recent Advances in Computational and Experimental Mechanics, Vol—I by : D. Maity
Download or read book Recent Advances in Computational and Experimental Mechanics, Vol—I written by D. Maity and published by Springer Nature. This book was released on 2022-01-01 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book (Vol. - I) presents select proceedings of the first Online International Conference on Recent Advances in Computational and Experimental Mechanics (ICRACEM 2020) and focuses on theoretical, computational and experimental aspects of solid and fluid mechanics. Various topics covered are computational modelling of extreme events; mechanical modelling of robots; mechanics and design of cellular materials; mechanics of soft materials; mechanics of thin-film and multi-layer structures; meshfree and particle based formulations in continuum mechanics; multi-scale computations in solid mechanics, and materials; multiscale mechanics of brittle and ductile materials; topology and shape optimization techniques; acoustics including aero-acoustics and wave propagation; aerodynamics; dynamics and control in micro/nano engineering; dynamic instability and buckling; flow-induced noise and vibration; inverse problems in mechanics and system identification; measurement and analysis techniques in nonlinear dynamic systems; multibody dynamical systems and applications; nonlinear dynamics and control; stochastic mechanics; structural dynamics and earthquake engineering; structural health monitoring and damage assessment; turbomachinery noise; vibrations of continuous systems, characterization of advanced materials; damage identification and non-destructive evaluation; experimental fire mechanics and damage; experimental fluid mechanics; experimental solid mechanics; measurement in extreme environments; modal testing and dynamics; experimental hydraulics; mechanism of scour under steady and unsteady flows; vibration measurement and control; bio-inspired materials; constitutive modelling of materials; fracture mechanics; mechanics of adhesion, tribology and wear; mechanics of composite materials; mechanics of multifunctional materials; multiscale modelling of materials; phase transformations in materials; plasticity and creep in materials; fluid mechanics, computational fluid dynamics; fluid-structure interaction; free surface, moving boundary and pipe flow; hydrodynamics; multiphase flows; propulsion; internal flow physics; turbulence modelling; wave mechanics; flow through porous media; shock-boundary layer interactions; sediment transport; wave-structure interaction; reduced-order models; turbo-machinery; experimental hydraulics; mechanism of scour under steady and unsteady flows; applications of machine learning and artificial intelligence in mechanics; transport phenomena and soft computing tools in fluid mechanics. The contents of these two volumes (Volumes I and II) discusses various attributes of modern-age mechanics in various disciplines, such as aerospace, civil, mechanical, ocean engineering and naval architecture. The book will be a valuable reference for beginners, researchers, and professionals interested in solid and fluid mechanics and allied fields.
Book Synopsis Publications by : United States. National Bureau of Standards
Download or read book Publications written by United States. National Bureau of Standards and published by . This book was released on 1947 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Publications of the National Bureau of Standards by : United States. National Bureau of Standards
Download or read book Publications of the National Bureau of Standards written by United States. National Bureau of Standards and published by . This book was released on 1947 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Supplementary List of Publications of the National Bureau of Standards by :
Download or read book Supplementary List of Publications of the National Bureau of Standards written by and published by . This book was released on 1958 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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:
Book Synopsis Computational Methods and Experimental Measurements by : G.A. Keramidas
Download or read book Computational Methods and Experimental Measurements written by G.A. Keramidas and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 826 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sponsored by the International Society for Computational Methods in Engineering
Book Synopsis Supplementary List of Publications of the National Bureau of Standards, July 1, 1947, to June 30, 1957 by : United States. National Bureau of Standards
Download or read book Supplementary List of Publications of the National Bureau of Standards, July 1, 1947, to June 30, 1957 written by United States. National Bureau of Standards and published by . This book was released on 1958 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :Vadim V. Silberschmidt Publisher :Springer Science & Business Media ISBN 13 :3211996850 Total Pages :264 pages Book Rating :4.2/5 (119 download)
Book Synopsis Computational and Experimental Mechanics of Advanced Materials by : Vadim V. Silberschmidt
Download or read book Computational and Experimental Mechanics of Advanced Materials written by Vadim V. Silberschmidt and published by Springer Science & Business Media. This book was released on 2009-11-24 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced materials play a crucial role in modern engineering applications where they are often exposed to complex loading and environmental conditions. In many cases, new approaches are needed to characterise these materials and to model their behaviour. Such approaches should be calibrated and validated by specific experimental techniques, quantifying both microstructural features and respective mechanisms at various length scales. The book provides an overview of modern modelling tools and experimental methods that can be employed to analyse and estimate properties and performance of advanced materials. A special feature of the book is the analysis of case studies used to demonstrate the strategies of solving the real-life problems, in which the microstructure of materials directly affects their response to loading and/or environmental conditions. The reader will benefit from a detailed analysis of various methods as well as their implementation for dealing with various advanced materials.
Book Synopsis Applied and Computational Complex Analysis, Volume 3 by : Peter Henrici
Download or read book Applied and Computational Complex Analysis, Volume 3 written by Peter Henrici and published by John Wiley & Sons. This book was released on 1993-04-16 with total page 660 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.
Download or read book Aero Digest written by and published by . This book was released on 1955 with total page 1130 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Author :United States. National Bureau of Standards. Applied Mathematics Division Publisher : ISBN 13 : Total Pages :452 pages Book Rating :4.:/5 (28 download)
Book Synopsis Projects and Publications by : United States. National Bureau of Standards. Applied Mathematics Division
Download or read book Projects and Publications written by United States. National Bureau of Standards. Applied Mathematics Division and published by . This book was released on 1955 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Interactive Systems for Experimental Applied Mathematics by : Melvin Klerer
Download or read book Interactive Systems for Experimental Applied Mathematics written by Melvin Klerer and published by Elsevier. This book was released on 2012-12-02 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interactive Systems for Experimental Applied Mathematics is a collection of papers presented at the 1967 Association for Computing Machinery (ACM) Inc. Symposium on Interactive Systems for Experimental Mathematics, held in Washington, D.C. in conjunction with the ACM National Meeting. This book is organized into five parts encompassing 46 chapters. The opening part deals with the general criteria for interactive on-line systems that seem most important for the experimental solution of mathematical problems. This part specifically describes the AMTRAN, REDUCE, EASL, POSE, VENUS, and CHARYBDIS computer systems and languages. The next two parts cover the components of interactive systems, including coherent programming, interactive console, mathematical symbol processing, message system, and computer-aided instruction. The fourth part examines a scheme for permitting a user of conventional procedural programming languages, namely, FORTRAN, to test actual error propagation in numerical calculations. This part also describes the features of Analyst Assistance Program, an on-line graphically oriented conversational computing system designed to perform small nonrecurring numerical computations. The concluding part presents several implications of selected computer systems, the resulting problems, and their proposed solutions. This book is of great benefit to computer scientists and engineers, mathematicians, and undergraduate and graduate students in applied mathematics.
