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Complemtary Representations And The Solution Of Mixed Boundary Value Problems In Potential Theory
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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:
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).
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:
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:
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:
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:
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
Author :Rainer Kress Publisher :Peter Lang Gmbh, Internationaler Verlag Der Wissenschaften ISBN 13 : Total Pages :224 pages Book Rating :4.3/5 (91 download)
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.
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.
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:
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:
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.
Author :Georgii S. Litvinchuk Publisher :Springer Science & Business Media ISBN 13 :9780792365495 Total Pages :408 pages Book Rating :4.3/5 (654 download)
Book Synopsis Solvability Theory of Boundary Value Problems and Singular Integral Equations with Shift by : Georgii S. Litvinchuk
Download or read book Solvability Theory of Boundary Value Problems and Singular Integral Equations with Shift written by Georgii S. Litvinchuk and published by Springer Science & Business Media. This book was released on 2000-09-30 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first formulations of linear boundary value problems for analytic functions were due to Riemann (1857). In particular, such problems exhibit as boundary conditions relations among values of the unknown analytic functions which have to be evaluated at different points of the boundary. Singular integral equations with a shift are connected with such boundary value problems in a natural way. Subsequent to Riemann's work, D. Hilbert (1905), C. Haseman (1907) and T. Carleman (1932) also considered problems of this type. About 50 years ago, Soviet mathematicians began a systematic study of these topics. The first works were carried out in Tbilisi by D. Kveselava (1946-1948). Afterwards, this theory developed further in Tbilisi as well as in other Soviet scientific centers (Rostov on Don, Ka zan, Minsk, Odessa, Kishinev, Dushanbe, Novosibirsk, Baku and others). Beginning in the 1960s, some works on this subject appeared systematically in other countries, e. g. , China, Poland, Germany, Vietnam and Korea. In the last decade the geography of investigations on singular integral operators with shift expanded significantly to include such countries as the USA, Portugal and Mexico. It is no longer easy to enumerate the names of the all mathematicians who made contributions to this theory. Beginning in 1957, the author also took part in these developments. Up to the present, more than 600 publications on these topics have appeared.
Book Synopsis Unified Transform for Boundary Value Problems by : Athanasios S. Fokas
Download or read book Unified Transform for Boundary Value Problems written by Athanasios S. Fokas and published by SIAM. This book was released on 2015-01-01 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes state-of-the-art advances and applications of the unified transform and its relation to the boundary element method. The authors present the solution of boundary value problems from several different perspectives, in particular the type of problems modeled by partial differential equations (PDEs). They discuss recent applications of the unified transform to the analysis and numerical modeling of boundary value problems for linear and integrable nonlinear PDEs and the closely related boundary element method, a well-established numerical approach for solving linear elliptic PDEs. The text is divided into three parts. Part I contains new theoretical results on linear and nonlinear evolutionary and elliptic problems. New explicit solution representations for several classes of boundary value problems are constructed and rigorously analyzed. Part II is a detailed overview of variational formulations for elliptic problems. It places the unified transform approach in a classic context alongside the boundary element method and stresses its novelty. Part III presents recent numerical applications based on the boundary element method and on the unified transform.
Book Synopsis Numerical Solution of Two Point Boundary Value Problems by : Herbert B. Keller
Download or read book Numerical Solution of Two Point Boundary Value Problems written by Herbert B. Keller and published by SIAM. This book was released on 1976-01-01 with total page 69 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lectures on a unified theory of and practical procedures for the numerical solution of very general classes of linear and nonlinear two point boundary-value problems.
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 1991 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Boundary Value Problems, Weyl Functions, and Differential Operators by : Jussi Behrndt
Download or read book Boundary Value Problems, Weyl Functions, and Differential Operators written by Jussi Behrndt and published by Springer Nature. This book was released on 2020-01-03 with total page 772 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book presents a comprehensive survey of modern operator techniques for boundary value problems and spectral theory, employing abstract boundary mappings and Weyl functions. It includes self-contained treatments of the extension theory of symmetric operators and relations, spectral characterizations of selfadjoint operators in terms of the analytic properties of Weyl functions, form methods for semibounded operators, and functional analytic models for reproducing kernel Hilbert spaces. Further, it illustrates these abstract methods for various applications, including Sturm-Liouville operators, canonical systems of differential equations, and multidimensional Schrödinger operators, where the abstract Weyl function appears as either the classical Titchmarsh-Weyl coefficient or the Dirichlet-to-Neumann map. The book is a valuable reference text for researchers in the areas of differential equations, functional analysis, mathematical physics, and system theory. Moreover, thanks to its detailed exposition of the theory, it is also accessible and useful for advanced students and researchers in other branches of natural sciences and engineering.
