Solving Problems In Multiply Connected Domains

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Solving Problems in Multiply Connected Domains

Author : Darren Crowdy
Publisher : SIAM
ISBN 13 : 1611976154
Total Pages : 456 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 456 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.

Modern Problems in Applied Analysis

Author : Piotr Drygaś
Publisher : Birkhäuser
ISBN 13 : 3319726404
Total Pages : 214 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Modern Problems in Applied Analysis by : Piotr Drygaś

Download or read book Modern Problems in Applied Analysis written by Piotr Drygaś and published by Birkhäuser. This book was released on 2018-03-21 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book features a collection of recent findings in Applied Real and Complex Analysis that were presented at the 3rd International Conference “Boundary Value Problems, Functional Equations and Applications” (BAF-3), held in Rzeszow, Poland on 20-23 April 2016. The contributions presented here develop a technique related to the scope of the workshop and touching on the fields of differential and functional equations, complex and real analysis, with a special emphasis on topics related to boundary value problems. Further, the papers discuss various applications of the technique, mainly in solid mechanics (crack propagation, conductivity of composite materials), biomechanics (viscoelastic behavior of the periodontal ligament, modeling of swarms) and fluid dynamics (Stokes and Brinkman type flows, Hele-Shaw type flows). The book is addressed to all readers who are interested in the development and application of innovative research results that can help solve theoretical and real-world problems.

Random Walks on Boundary for Solving PDEs

Author : Karl K. Sabelfeld
Publisher : Walter de Gruyter
ISBN 13 : 311094202X
Total Pages : 148 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Random Walks on Boundary for Solving PDEs by : Karl K. Sabelfeld

Download or read book Random Walks on Boundary for Solving PDEs written by Karl K. Sabelfeld and published by Walter de Gruyter. This book was released on 2013-07-05 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents new probabilistic representations for classical boundary value problems of mathematical physics and is the first book devoted to the walk on boundary algorithms. Compared to the well-known Wiener and diffusion path integrals, the trajectories of random walks in this publication are simlated on the boundary of the domain as Markov chains generated by the kernels of the boundary integral equations equivalent to the original boundary value problem. The book opens with an introduction for solving the interior and exterior boundary values for the Laplace and heat equations, which is followed by applying this method to all main boundary value problems of the potential and elasticity theories.

Boundary Value Problems

Author : F. D. Gakhov
Publisher : Elsevier
ISBN 13 : 1483164985
Total Pages : 585 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Boundary Value Problems by : F. D. Gakhov

Download or read book Boundary Value Problems written by F. D. Gakhov and published by Elsevier. This book was released on 2014-07-10 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: Boundary Value Problems is a translation from the Russian of lectures given at Kazan and Rostov Universities, dealing with the theory of boundary value problems for analytic functions. The emphasis of the book is on the solution of singular integral equations with Cauchy and Hilbert kernels. Although the book treats the theory of boundary value problems, emphasis is on linear problems with one unknown function. The definition of the Cauchy type integral, examples, limiting values, behavior, and its principal value are explained. The Riemann boundary value problem is emphasized in considering the theory of boundary value problems of analytic functions. The book then analyzes the application of the Riemann boundary value problem as applied to singular integral equations with Cauchy kernel. A second fundamental boundary value problem of analytic functions is the Hilbert problem with a Hilbert kernel; the application of the Hilbert problem is also evaluated. The use of Sokhotski's formulas for certain integral analysis is explained and equations with logarithmic kernels and kernels with a weak power singularity are solved. The chapters in the book all end with some historical briefs, to give a background of the problem(s) discussed. The book will be very valuable to mathematicians, students, and professors in advanced mathematics and geometrical functions.

Applications of Complex Variables

Author : Foluso Ladeinde
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3111351173
Total Pages : 604 pages
Book Rating : 4.1/5 (113 download)

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Book Synopsis Applications of Complex Variables by : Foluso Ladeinde

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 604 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. 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.

Analytic Solutions for Flows Through Cascades

Author : Peter Jonathan Baddoo
Publisher : Springer Nature
ISBN 13 : 3030557812
Total Pages : 269 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Analytic Solutions for Flows Through Cascades by : Peter Jonathan Baddoo

Download or read book Analytic Solutions for Flows Through Cascades written by Peter Jonathan Baddoo and published by Springer Nature. This book was released on 2020-08-31 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis is concerned with flows through cascades, i.e. periodic arrays of obstacles. Such geometries are relevant to a range of physical scenarios, chiefly the aerodynamics and aeroacoustics of turbomachinery flows. Despite the fact that turbomachinery is of paramount importance to a number of industries, many of the underlying mechanisms in cascade flows remain opaque. In order to clarify the function of different physical parameters, the author considers six separate problems. For example, he explores the significance of realistic blade geometries in predicting turbomachinery performance, and the possibility that porous blades can achieve noise reductions. In order to solve these challenging problems, the author deploys and indeed develops techniques from across the spectrum of complex analysis: the Wiener–Hopf method, Riemann–Hilbert problems, and the Schottky–Klein prime function all feature prominently. These sophisticated tools are then used to elucidate the underlying mathematical and physical structures present in cascade flows. The ensuing solutions greatly extend previous works and offer new avenues for future research. The results are not of simply academic value but are also useful for aircraft designers seeking to balance aeroacoustic and aerodynamic effects.

Domain-based Parallelism and Problem Decomposition Methods in Computational Science and Engineering

Author : David E. Keyes
Publisher : SIAM
ISBN 13 : 9781611971507
Total Pages : 339 pages
Book Rating : 4.9/5 (715 download)

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Book Synopsis Domain-based Parallelism and Problem Decomposition Methods in Computational Science and Engineering by : David E. Keyes

Download or read book Domain-based Parallelism and Problem Decomposition Methods in Computational Science and Engineering written by David E. Keyes and published by SIAM. This book was released on 1995-01-01 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: This refereed volume arose from the editors' recognition that physical scientists, engineers, and applied mathematicians are developing, in parallel, solutions to problems of parallelization. The cross-disciplinary field of scientific computation is bringing about better communication between heterogeneous computational groups, as they face this common challenge. This volume is one attempt to provide cross-disciplinary communication. Problem decomposition and the use of domain-based parallelism in computational science and engineering was the subject addressed at a workshop held at the University of Minnesota Supercomputer Institute in April 1994. The authors were subsequently able to address the relationships between their individual applications and independently developed approaches. This book is written for an interdisciplinary audience and concentrates on transferable algorithmic techniques, rather than the scientific results themselves. Cross-disciplinary editing was employed to identify jargon that needed further explanation and to ensure provision of a brief scientific background for each chapter at a tutorial level so that the physical significance of the variables is clear and correspondences between fields are visible.

Projects and Publications of the National Applied Mathematics Laboratories

Author :
Publisher :
ISBN 13 :
Total Pages : 650 pages
Book Rating : 4.3/5 (91 download)

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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 1950 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Projects and Publications

Author : United States. National Bureau of Standards. National Applied Mathematics Laboratories
Publisher :
ISBN 13 :
Total Pages : 650 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Projects and Publications by : United States. National Bureau of Standards. National Applied Mathematics Laboratories

Download or read book Projects and Publications written by United States. National Bureau of Standards. National Applied Mathematics Laboratories and published by . This book was released on 1949 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Conformal Mappings and Boundary Value Problems

Author : Guo-Chun Wen
Publisher : American Mathematical Soc.
ISBN 13 : 9780821886809
Total Pages : 318 pages
Book Rating : 4.8/5 (868 download)

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Book Synopsis Conformal Mappings and Boundary Value Problems by : Guo-Chun Wen

Download or read book Conformal Mappings and Boundary Value Problems written by Guo-Chun Wen and published by American Mathematical Soc.. This book was released on with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Translated from the Chinese. Conformal mapping and boundary value problems are two major branches of complex function theory. The former is the geometric theory of analytic functions, and the latter is the analysis theory governing the close relationship between abstract theory and many concrete problems. Topics include applications of Cauchy type integrals, the Hilbert boundary value problem, quasiconformal mappings, and basic boundary value problems for harmonic functions. Annotation copyright by Book News, Inc., Portland, OR

Fourteen Papers on Algebra, Topology, Algebraic and Differential Geometry

Author : V. P. Kompaniec
Publisher : American Mathematical Soc.
ISBN 13 : 9780821817735
Total Pages : 268 pages
Book Rating : 4.8/5 (177 download)

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Book Synopsis Fourteen Papers on Algebra, Topology, Algebraic and Differential Geometry by : V. P. Kompaniec

Download or read book Fourteen Papers on Algebra, Topology, Algebraic and Differential Geometry written by V. P. Kompaniec and published by American Mathematical Soc.. This book was released on 1968 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computation of Fluid Motions in Multiply Connected Domains

Author : Włodzimierz J. Prosnak
Publisher :
ISBN 13 :
Total Pages : 356 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Computation of Fluid Motions in Multiply Connected Domains by : Włodzimierz J. Prosnak

Download or read book Computation of Fluid Motions in Multiply Connected Domains written by Włodzimierz J. Prosnak and published by . This book was released on 1987 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Menahem Max Schiffer: Selected Papers Volume 2

Author : Peter Duren
Publisher : Springer Science & Business Media
ISBN 13 : 1461479495
Total Pages : 555 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Menahem Max Schiffer: Selected Papers Volume 2 by : Peter Duren

Download or read book Menahem Max Schiffer: Selected Papers Volume 2 written by Peter Duren and published by Springer Science & Business Media. This book was released on 2013-10-17 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two volume set presents over 50 of the most groundbreaking contributions of Menahem M Schiffer. All of the reprints of Schiffer’s works herein have extensive annotation and invited commentaries, giving new clarity and insight into the impact and legacy of Schiffer's work. A complete bibliography and brief biography make this a rounded and invaluable reference.

Inverse Scattering Theory and Transmission Eigenvalues

Author : Fioralba Cakoni
Publisher : SIAM
ISBN 13 : 1611977428
Total Pages : 259 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Inverse Scattering Theory and Transmission Eigenvalues by : Fioralba Cakoni

Download or read book Inverse Scattering Theory and Transmission Eigenvalues written by Fioralba Cakoni and published by SIAM. This book was released on 2022-12-07 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse scattering theory is a major theme in applied mathematics, with applications to such diverse areas as medical imaging, geophysical exploration, and nondestructive testing. The inverse scattering problem is both nonlinear and ill-posed, thus presenting challenges in the development of efficient inversion algorithms. A further complication is that anisotropic materials cannot be uniquely determined from given scattering data. In the first edition of Inverse Scattering Theory and Transmission Eigenvalues, the authors discussed methods for determining the support of inhomogeneous media from measured far field data and the role of transmission eigenvalue problems in the mathematical development of these methods. In this second edition, three new chapters describe recent developments in inverse scattering theory. In particular, the authors explore the use of modified background media in the nondestructive testing of materials and methods for determining the modified transmission eigenvalues that arise in such applications from measured far field data. They also examine nonscattering wave numbers—a subset of transmission eigenvalues—using techniques taken from the theory of free boundary value problems for elliptic partial differential equations and discuss the dualism of scattering poles and transmission eigenvalues that has led to new methods for the numerical computation of scattering poles. This book will be of interest to research mathematicians and engineers and physicists working on problems in target identification. It will also be useful to advanced graduate students in many areas of applied mathematics.

Multiphysics Simulation by Design for Electrical Machines, Power Electronics and Drives

Author : Dr. Marius Rosu
Publisher : John Wiley & Sons
ISBN 13 : 1119103479
Total Pages : 320 pages
Book Rating : 4.1/5 (191 download)

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Book Synopsis Multiphysics Simulation by Design for Electrical Machines, Power Electronics and Drives by : Dr. Marius Rosu

Download or read book Multiphysics Simulation by Design for Electrical Machines, Power Electronics and Drives written by Dr. Marius Rosu and published by John Wiley & Sons. This book was released on 2017-11-10 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents applied theory and advanced simulation techniques for electric machines and drives This book combines the knowledge of experts from both academia and the software industry to present theories of multiphysics simulation by design for electrical machines, power electronics, and drives. The comprehensive design approach described within supports new applications required by technologies sustaining high drive efficiency. The highlighted framework considers the electric machine at the heart of the entire electric drive. The book also emphasizes the simulation by design concept—a concept that frames the entire highlighted design methodology, which is described and illustrated by various advanced simulation technologies. Multiphysics Simulation by Design for Electrical Machines, Power Electronics and Drives begins with the basics of electrical machine design and manufacturing tolerances. It also discusses fundamental aspects of the state of the art design process and includes examples from industrial practice. It explains FEM-based analysis techniques for electrical machine design—providing details on how it can be employed in ANSYS Maxwell software. In addition, the book covers advanced magnetic material modeling capabilities employed in numerical computation; thermal analysis; automated optimization for electric machines; and power electronics and drive systems. This valuable resource: Delivers the multi-physics know-how based on practical electric machine design methodologies Provides an extensive overview of electric machine design optimization and its integration with power electronics and drives Incorporates case studies from industrial practice and research and development projects Multiphysics Simulation by Design for Electrical Machines, Power Electronics and Drives is an incredibly helpful book for design engineers, application and system engineers, and technical professionals. It will also benefit graduate engineering students with a strong interest in electric machines and drives.

Boundary Element Technology VII

Author : C.A. Brebbia
Publisher : Springer Science & Business Media
ISBN 13 : 9401128723
Total Pages : 911 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Boundary Element Technology VII by : C.A. Brebbia

Download or read book Boundary Element Technology VII written by C.A. Brebbia and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 911 pages. Available in PDF, EPUB and Kindle. Book excerpt: Seventh International Conference on Boundary Element Technology 'Betech 92', held at the University of New Mexico in Albuquerque, June 1992

Analysis, Probability, Applications, and Computation

Author : Karl‐Olof Lindahl
Publisher : Springer
ISBN 13 : 3030044599
Total Pages : 568 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Analysis, Probability, Applications, and Computation by : Karl‐Olof Lindahl

Download or read book Analysis, Probability, Applications, and Computation written by Karl‐Olof Lindahl and published by Springer. This book was released on 2019-04-29 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of short papers from the 11th International ISAAC Congress 2017 in Växjö, Sweden. The papers, written by the best international experts, are devoted to recent results in mathematics with a focus on analysis. The volume provides to both specialists and non-specialists an excellent source of information on the current research in mathematical analysis and its various interdisciplinary applications.