Complementary Representations and the Solutions of Mixed Boundary-value Problems in Potential Theory

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ISBN 13 :
Total Pages : 54 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Complementary Representations and the Solutions of Mixed Boundary-value Problems in Potential Theory by : R. Shail

Download or read book Complementary Representations and the Solutions of Mixed Boundary-value Problems in Potential Theory written by R. Shail and published by . This book was released on 1973 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Complementary Representations and the Solution of Mixed Boundary-Value Problems in Potential Theory

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Publisher :
ISBN 13 :
Total Pages : 58 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis Complementary Representations and the Solution of Mixed Boundary-Value Problems in Potential Theory by : R. Shail

Download or read book Complementary Representations and the Solution of Mixed Boundary-Value Problems in Potential Theory written by R. Shail and published by . This book was released on 1973 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of complementary integral representations of potential functions is developed in cylindrical polar, spherical polar, toroidal and dipolar coordinates. The representations are applied to the solution of various mixed boundary-value problems in potential theory. (Author).

Complemtary Representations and the Solution of Mixed Boundary-value Problems in Potential Theory

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ISBN 13 :
Total Pages : 54 pages
Book Rating : 4.:/5 (253 download)

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Book Synopsis Complemtary Representations and the Solution of Mixed Boundary-value Problems in Potential Theory by : R. Shail

Download or read book Complemtary Representations and the Solution of Mixed Boundary-value Problems in Potential Theory written by R. Shail and published by . This book was released on 1973 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Some Numerical Solutions of Mixed Boundary Value Problems in Potential Theory

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Publisher :
ISBN 13 :
Total Pages : 72 pages
Book Rating : 4.:/5 (298 download)

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Book Synopsis Some Numerical Solutions of Mixed Boundary Value Problems in Potential Theory by : Kenneth Ralph Veraska

Download or read book Some Numerical Solutions of Mixed Boundary Value Problems in Potential Theory written by Kenneth Ralph Veraska and published by . This book was released on 1960 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mixed Boundary Value Problems of Potential Theory and Their Applications in Engineering

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Publisher : Springer
ISBN 13 :
Total Pages : 472 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mixed Boundary Value Problems of Potential Theory and Their Applications in Engineering by : V. Fabrikant

Download or read book Mixed Boundary Value Problems of Potential Theory and Their Applications in Engineering written by V. Fabrikant and published by Springer. This book was released on 1991-07-29 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mixed Boundary Value Problems in Potential Theory

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Publisher :
ISBN 13 :
Total Pages : 294 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Mixed Boundary Value Problems in Potential Theory by : Ian Naismith Sneddon

Download or read book Mixed Boundary Value Problems in Potential Theory written by Ian Naismith Sneddon and published by . This book was released on 1966 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mixed Boundary Value Problems in Potential Theory

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (959 download)

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Book Synopsis Mixed Boundary Value Problems in Potential Theory by : Paul Wheatley

Download or read book Mixed Boundary Value Problems in Potential Theory written by Paul Wheatley and published by . This book was released on 1966 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Free and Mixed Boundary Value Problems

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Publisher : Peter Lang Gmbh, Internationaler Verlag Der Wissenschaften
ISBN 13 :
Total Pages : 224 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Free and Mixed Boundary Value Problems by : Rainer Kress

Download or read book Free and Mixed Boundary Value Problems written by Rainer Kress and published by Peter Lang Gmbh, Internationaler Verlag Der Wissenschaften. This book was released on 1979 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Das Buch enthält Vorträge, die gehalten wurden auf der von Prof. R. Kress und Prof. N. Weck vom 16.4. bis 22.4.1978 im Mathematischen Forschungsinstitut Oberwolfach veranstalteten Tagung über Freie und gemischte Randwertaufgaben bei partiellen Differentialgleichungen.

Singularly Perturbed Boundary Value Problems

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Publisher : Springer Nature
ISBN 13 : 3030762599
Total Pages : 672 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Singularly Perturbed Boundary Value Problems by : Matteo Dalla Riva

Download or read book Singularly Perturbed Boundary Value Problems written by Matteo Dalla Riva and published by Springer Nature. This book was released on 2021-10-01 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the analysis of the basic boundary value problems for the Laplace equation in singularly perturbed domains. The main purpose is to illustrate a method called Functional Analytic Approach, to describe the dependence of the solutions upon a singular perturbation parameter in terms of analytic functions. Here the focus is on domains with small holes and the perturbation parameter is the size of the holes. The book is the first introduction to the topic and covers the theoretical material and its applications to a series of problems that range from simple illustrative examples to more involved research results. The Functional Analytic Approach makes constant use of the integral representation method for the solutions of boundary value problems, of Potential Theory, of the Theory of Analytic Functions both in finite and infinite dimension, and of Nonlinear Functional Analysis. Designed to serve various purposes and readerships, the extensive introductory part spanning Chapters 1–7 can be used as a reference textbook for graduate courses on classical Potential Theory and its applications to boundary value problems. The early chapters also contain results that are rarely presented in the literature and may also, therefore, attract the interest of more expert readers. The exposition moves on to introduce the Functional Analytic Approach. A reader looking for a quick introduction to the method can find simple illustrative examples specifically designed for this purpose. More expert readers will find a comprehensive presentation of the Functional Analytic Approach, which allows a comparison between the approach of the book and the more classical expansion methods of Asymptotic Analysis and offers insights on the specific features of the approach and its applications to linear and nonlinear boundary value problems.

Mixed Boundary Value Problems

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Publisher : CRC Press
ISBN 13 : 1420010948
Total Pages : 486 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Mixed Boundary Value Problems by : Dean G. Duffy

Download or read book Mixed Boundary Value Problems written by Dean G. Duffy and published by CRC Press. This book was released on 2008-03-26 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: Methods for Solving Mixed Boundary Value Problems An up-to-date treatment of the subject, Mixed Boundary Value Problems focuses on boundary value problems when the boundary condition changes along a particular boundary. The book often employs numerical methods to solve mixed boundary value problems and the associated integral equat

Mixed boundary value problems in potential theory

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Publisher :
ISBN 13 :
Total Pages : 283 pages
Book Rating : 4.:/5 (487 download)

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Book Synopsis Mixed boundary value problems in potential theory by : Ian N. Sneddon

Download or read book Mixed boundary value problems in potential theory written by Ian N. Sneddon and published by . This book was released on 1966 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Unified Approach to Boundary Value Problems

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Publisher : SIAM
ISBN 13 : 0898716519
Total Pages : 327 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis A Unified Approach to Boundary Value Problems by : Athanassios S. Fokas

Download or read book A Unified Approach to Boundary Value Problems written by Athanassios S. Fokas and published by SIAM. This book was released on 2008-11-06 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: A novel approach to analysing initial-boundary value problems for integrable partial differential equations (PDEs) in two dimensions, based on ideas of the inverse scattering transform that the author introduced in 1997. This method is unique in also yielding novel integral representations for linear PDEs. Several new developments are addressed in the book, including a new transform method for linear evolution equations on the half-line and on the finite interval; analytical inversion of certain integrals such as the attenuated Radon transform and the Dirichlet-to-Neumann map for a moving boundary; integral representations for linear boundary value problems; analytical and numerical methods for elliptic PDEs in a convex polygon; and integrable nonlinear PDEs. An epilogue provides a list of problems on which the author's new approach has been used, offers open problems, and gives a glimpse into how the method might be applied to problems in three dimensions.

MRC Technical Summary Report

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ISBN 13 :
Total Pages : 362 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis MRC Technical Summary Report by : United States. Army. Mathematics Research Center

Download or read book MRC Technical Summary Report written by United States. Army. Mathematics Research Center and published by . This book was released on 1973 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Partial Differential Equations and Boundary-Value Problems with Applications

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Publisher : American Mathematical Soc.
ISBN 13 : 0821868896
Total Pages : 545 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Partial Differential Equations and Boundary-Value Problems with Applications by : Mark A. Pinsky

Download or read book Partial Differential Equations and Boundary-Value Problems with Applications written by Mark A. Pinsky and published by American Mathematical Soc.. This book was released on 2011 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: Building on the basic techniques of separation of variables and Fourier series, the book presents the solution of boundary-value problems for basic partial differential equations: the heat equation, wave equation, and Laplace equation, considered in various standard coordinate systems--rectangular, cylindrical, and spherical. Each of the equations is derived in the three-dimensional context; the solutions are organized according to the geometry of the coordinate system, which makes the mathematics especially transparent. Bessel and Legendre functions are studied and used whenever appropriate throughout the text. The notions of steady-state solution of closely related stationary solutions are developed for the heat equation; applications to the study of heat flow in the earth are presented. The problem of the vibrating string is studied in detail both in the Fourier transform setting and from the viewpoint of the explicit representation (d'Alembert formula). Additional chapters include the numerical analysis of solutions and the method of Green's functions for solutions of partial differential equations. The exposition also includes asymptotic methods (Laplace transform and stationary phase). With more than 200 working examples and 700 exercises (more than 450 with answers), the book is suitable for an undergraduate course in partial differential equations.

Boundary Value Problems

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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.

The Mathematical Theory of Elasticity, Second Edition

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Publisher : CRC Press
ISBN 13 : 1439828881
Total Pages : 840 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis The Mathematical Theory of Elasticity, Second Edition by : Richard B. Hetnarski

Download or read book The Mathematical Theory of Elasticity, Second Edition written by Richard B. Hetnarski and published by CRC Press. This book was released on 2010-10-18 with total page 840 pages. Available in PDF, EPUB and Kindle. Book excerpt: Through its inclusion of specific applications, The Mathematical Theory of Elasticity, Second Edition continues to provide a bridge between the theory and applications of elasticity. It presents classical as well as more recent results, including those obtained by the authors and their colleagues. Revised and improved, this edition incorporates additional examples and the latest research results. New to the Second Edition Exposition of the application of Laplace transforms, the Dirac delta function, and the Heaviside function Presentation of the Cherkaev, Lurie, and Milton (CLM) stress invariance theorem that is widely used to determine the effective moduli of elastic composites The Cauchy relations in elasticity A body force analogy for the transient thermal stresses A three-part table of Laplace transforms An appendix that explores recent developments in thermoelasticity Although emphasis is placed on the problems of elastodynamics and thermoelastodynamics, the text also covers elastostatics and thermoelastostatics. It discusses the fundamentals of linear elasticity and applications, including kinematics, motion and equilibrium, constitutive relations, formulation of problems, and variational principles. It also explains how to solve various boundary value problems of one, two, and three dimensions. This professional reference includes access to a solutions manual for those wishing to adopt the book for instructional purposes.

On the Solutions of Mixed Boundary Value Problems Via Variational Techniques and Integral Equations

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ISBN 13 :
Total Pages : 188 pages
Book Rating : 4.:/5 (88 download)

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Book Synopsis On the Solutions of Mixed Boundary Value Problems Via Variational Techniques and Integral Equations by : Sam Sohrab Gordji

Download or read book On the Solutions of Mixed Boundary Value Problems Via Variational Techniques and Integral Equations written by Sam Sohrab Gordji and published by . This book was released on 1981 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: