Systems Of Singular Integral Equations
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Systems Of Singular Integral Equations
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Author : Nikolaĭ Petrovich Vekua
language : en
Publisher:
Release Date : 1967
Systems Of Singular Integral Equations written by Nikolaĭ Petrovich Vekua and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Mathematics categories.
Systems Of Singular Integral Equations
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Author : Nikolaĭ Petrovich Vekua
language : en
Publisher:
Release Date : 1967
Systems Of Singular Integral Equations written by Nikolaĭ Petrovich Vekua and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Integral equations categories.
Systems Of Singular Integral Equations
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Author : Nikolaj Petrovič Vekus
language : en
Publisher:
Release Date : 1967
Systems Of Singular Integral Equations written by Nikolaj Petrovič Vekus and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Analytic functions categories.
Applied Singular Integral Equations
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Author : B. N. Mandal
language : en
Publisher: CRC Press
Release Date : 2016-04-19
Applied Singular Integral Equations written by B. N. Mandal and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-19 with Mathematics categories.
The book is devoted to varieties of linear singular integral equations, with special emphasis on their methods of solution. It introduces the singular integral equations and their applications to researchers as well as graduate students of this fascinating and growing branch of applied mathematics.
Singular Integral Equations
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Author : N. I. Muskhelishvili
language : en
Publisher: Courier Corporation
Release Date : 2013-02-19
Singular Integral Equations written by N. I. Muskhelishvili and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-19 with Mathematics categories.
DIVHigh-level treatment of one-dimensional singular integral equations covers Holder Condition, Hilbert and Riemann-Hilbert problems, Dirichlet problem, more. 1953 edition. /div
Singular Integral Equations
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Author : Ricardo Estrada
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Singular Integral Equations written by Ricardo Estrada and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Many physical problems that are usually solved by differential equation techniques can be solved more effectively by integral equation methods. This work focuses exclusively on singular integral equations and on the distributional solutions of these equations. A large number of beautiful mathematical concepts are required to find such solutions, which in tum, can be applied to a wide variety of scientific fields - potential theory, me chanics, fluid dynamics, scattering of acoustic, electromagnetic and earth quake waves, statistics, and population dynamics, to cite just several. An integral equation is said to be singular if the kernel is singular within the range of integration, or if one or both limits of integration are infinite. The singular integral equations that we have studied extensively in this book are of the following type. In these equations f (x) is a given function and g(y) is the unknown function. 1. The Abel equation x x) = l g (y) d 0
Singular Integral Equations
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Author : E.G. Ladopoulos
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Singular Integral Equations written by E.G. Ladopoulos and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Technology & Engineering categories.
The present book deals with the finite-part singular integral equations, the multidimensional singular integral equations and the non-linear singular integral equations, which are currently used in many fields of engineering mechanics with applied character, like elasticity, plasticity, thermoelastoplasticity, viscoelasticity, viscoplasticity, fracture mechanics, structural analysis, fluid mechanics, aerodynamics and elastodynamics. These types of singular integral equations form the latest high technology on the solution of very important problems of solid and fluid mechanics and therefore special attention should be given by the reader of the present book, who is interested for the new technology of the twentieth-one century. Chapter 1 is devoted with a historical report and an extended outline of References, for the finite-part singular integral equations, the multidimensional singular integral equations and the non-linear singular integral equations. Chapter 2 provides a finite-part singular integral representation analysis in Lp spaces and in general Hilbert spaces. In the same Chapter are investigated all possible approximation methods for the numerical evaluation of the finite-part singular integral equations, as closed form solutions for the above type of integral equations are available only in simple cases. Also, Chapter 2 provides further a generalization of the well known Sokhotski-Plemelj formulae and the Nother theorems, for the case of a finite-part singular integral equation.
Numerical Solution Of Singular Integral Equations
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Author : Apostolos Gerasoulis
language : en
Publisher:
Release Date : 1984
Numerical Solution Of Singular Integral Equations written by Apostolos Gerasoulis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Integral equations categories.
On A Class Of Systems Of Singular Integral Equations On A Bounded Domain
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Author : Abduchamid Džuraev
language : de
Publisher:
Release Date : 1978
On A Class Of Systems Of Singular Integral Equations On A Bounded Domain written by Abduchamid Džuraev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with categories.
Singular Integral Equations And Discrete Vortices
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Author : I. K. Lifanov
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2018-11-05
Singular Integral Equations And Discrete Vortices written by I. K. Lifanov and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-05 with Mathematics categories.
This monograph is divided into five parts and opens with elements of the theory of singular integral equation solutions in the class of absolutely integrable and non-integrable functions. The second part deals with elements of potential theory for the Helmholtz equation, especially with the reduction of Dirichlet and Neumann problems for Laplace and Helmholtz equations to singular integral equations. Part three contains methods of calculation for different one-dimensional and two-dimensional singular integrals. In this part, quadrature formulas of discrete vortex pair type in the plane case and closed vortex frame type in the spatial case for singular integrals are described for the first time. These quadrature formulas are applied to numerical solutions of singular integral equations of the 1st and 2nd kind with constant and variable coefficients, in part four of the book. Finally, discrete mathematical models of some problems in aerodynamics, electrodynamics and elasticity theory are given.