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A Conformal Mapping Technique For Infinitely Connected Regions
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Book Synopsis A Conformal Mapping Technique for Infinitely Connected Regions by : Maynard G. Arsove
Download or read book A Conformal Mapping Technique for Infinitely Connected Regions written by Maynard G. Arsove and published by American Mathematical Society(RI). This book was released on 1970-03 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
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 Conformal Mappings Onto Multiply Connected Regions with Specified Boundary Shapes: A Preliminary Discussion of Computer Implementation by : Andrew Harrington
Download or read book Conformal Mappings Onto Multiply Connected Regions with Specified Boundary Shapes: A Preliminary Discussion of Computer Implementation written by Andrew Harrington and published by . This book was released on 1982 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author describes a method of calculating conformal mappings of any given finitely connected region onto a region with arbitrarily specified boundary shapes. If the specified shapes are rectangles, than this method can be used to generate conformal grids which should be useful for numerical solution of many partial differential equations, for example in calculating the airflow past an airflow with flaps or the flow of cooling water past fuel pins in a nuclear reactor. He has proved that there exists a conformal mapping of any given finitely connected region onto a region with arbitrarily specified boundary shapes. The construction in the proof has been adapted for computer implementation. Some examples have been worked to determine the region bounded by circles which is the image of a given region in the extended complex plane under a conformal mapping taking infinity to infinity. A region whose outer boundary is a rectangle is mapped conformally to a region with all rectangular boundaries, and the vertices of the outer boundaries correspond. Mappings onto regions bounded by rectangles should be of considerable use in grid generation for numerical solution of partial differential equations. Grids have been calculated for one simple example. (Author).
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 663 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 Rapid Methods for the Conformal Mapping of Multiply Connected Regions by : International Business Machines Corporation. Research Division
Download or read book Rapid Methods for the Conformal Mapping of Multiply Connected Regions written by International Business Machines Corporation. Research Division and published by . This book was released on 1985 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Schwarz-Christoffel Mapping by : Tobin A. Driscoll
Download or read book Schwarz-Christoffel Mapping written by Tobin A. Driscoll and published by Cambridge University Press. This book was released on 2002-06-20 with total page 154 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 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.
Book Synopsis Conformal Mapping of Simply Connected Regions by : Maxwell Duncan McCornock
Download or read book Conformal Mapping of Simply Connected Regions written by Maxwell Duncan McCornock and published by . This book was released on 1967 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book NASA Technical Translation written by and published by . This book was released on 1970 with total page 1026 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Conformal Mapping of Simply Connected Regions by : Joseph Ross Brown
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:
Book Synopsis Numerical Conformal Mapping of Bounded Multiply Connected Regions by an Integral Equation Method by : Ali Hassan Mohamed Murid
Download or read book Numerical Conformal Mapping of Bounded Multiply Connected Regions by an Integral Equation Method written by Ali Hassan Mohamed Murid and published by . This book was released on 2009 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On Canonical Conformal Maps of Multiply Connected Regions by : Joseph Leonard Walsh
Download or read book On Canonical Conformal Maps of Multiply Connected Regions written by Joseph Leonard Walsh and published by . This book was released on 1958 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Construction and Applications of Conformal Maps by : Institute for Numerical Analysis (U.S.)
Download or read book Construction and Applications of Conformal Maps written by Institute for Numerical Analysis (U.S.) and published by . This book was released on 1952 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Rapidly Converging Solution of the Conformal Mapping Problem of Hydrodynamics by : Leonard Pode
Download or read book A Rapidly Converging Solution of the Conformal Mapping Problem of Hydrodynamics written by Leonard Pode and published by . This book was released on 1956 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mesh-Free and Finite Element-Based Methods for Structural Mechanics Applications by : Nicholas Fantuzzi
Download or read book Mesh-Free and Finite Element-Based Methods for Structural Mechanics Applications written by Nicholas Fantuzzi and published by MDPI. This book was released on 2021-01-27 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem of solving complex engineering problems has always been a major topic in all industrial fields, such as aerospace, civil and mechanical engineering. The use of numerical methods has increased exponentially in the last few years, due to modern computers in the field of structural mechanics. Moreover, a wide range of numerical methods have been presented in the literature for solving such problems. Structural mechanics problems are dealt with using partial differential systems of equations that might be solved by following the two main classes of methods: Domain-decomposition methods or the so-called finite element methods and mesh-free methods where no decomposition is carried out. Both methodologies discretize a partial differential system into a set of algebraic equations that can be easily solved by computer implementation. The aim of the present Special Issue is to present a collection of recent works on these themes and a comparison of the novel advancements of both worlds in structural mechanics applications.
Author :Teodor M. Atanackovic Publisher :Springer Science & Business Media ISBN 13 :1461213304 Total Pages :378 pages Book Rating :4.4/5 (612 download)
Book Synopsis Theory of Elasticity for Scientists and Engineers by : Teodor M. Atanackovic
Download or read book Theory of Elasticity for Scientists and Engineers written by Teodor M. Atanackovic and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to be an introduction to elasticity theory. It is as sumed that the student, before reading this book, has had courses in me chanics (statics, dynamics) and strength of materials (mechanics of mate rials). It is written at a level for undergraduate and beginning graduate engineering students in mechanical, civil, or aerospace engineering. As a background in mathematics, readers are expected to have had courses in ad vanced calculus, linear algebra, and differential equations. Our experience in teaching elasticity theory to engineering students leads us to believe that the course must be problem-solving oriented. We believe that formulation and solution of the problems is at the heart of elasticity theory. 1 Of course orientation to problem-solving philosophy does not exclude the need to study fundamentals. By fundamentals we mean both mechanical concepts such as stress, deformation and strain, compatibility conditions, constitu tive relations, energy of deformation, and mathematical methods, such as partial differential equations, complex variable and variational methods, and numerical techniques. We are aware of many excellent books on elasticity, some of which are listed in the References. If we are to state what differentiates our book from other similar texts we could, besides the already stated problem-solving ori entation, list the following: study of deformations that are not necessarily small, selection of problems that we treat, and the use of Cartesian tensors only.