Applied Singular Integral Equations

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Applied Singular Integral Equations


Applied Singular Integral Equations


File Size : 42,7 Mb
Total Download : 492

Author : B. N. Mandal
language : en
Publisher: CRC Press
Release Date : 2016-04-19



Download 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


Singular Integral Equations


File Size : 48,8 Mb
Total Download : 525

Author : Ricardo Estrada
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06



Download 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


Singular Integral Equations


File Size : 44,5 Mb
Total Download : 999

Author : E.G. Ladopoulos
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09



Download 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 Computers 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.

Singular Integral Equations And Discrete Vortices


Singular Integral Equations And Discrete Vortices


File Size : 46,9 Mb
Total Download : 537

Author : Ivan K. Lifanov
language : en
Publisher: VSP
Release Date : 1996



Download Singular Integral Equations And Discrete Vortices written by Ivan K. Lifanov and has been published by VSP this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 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.

Methods Of Singular Integral Equations


Methods Of Singular Integral Equations


File Size : 45,6 Mb
Total Download : 872

Author : Abdukhamid Dzhuraev
language : en
Publisher: Chapman & Hall/CRC
Release Date : 1992



Download Methods Of Singular Integral Equations written by Abdukhamid Dzhuraev and has been published by Chapman & Hall/CRC this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.




Singular Integral Equations


Singular Integral Equations


File Size : 40,5 Mb
Total Download : 213

Author : N. I. Muskhelishvili
language : en
Publisher: Courier Corporation
Release Date : 2013-02-19



Download 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

Computational Recipes Of Linear And Non Linear Singular Integral Equations And Relativistic Mechanics In Engineering And Applied Science


Computational Recipes Of Linear And Non Linear Singular Integral Equations And Relativistic Mechanics In Engineering And Applied Science


File Size : 49,8 Mb
Total Download : 289

Author : Evangelos G. Ladopoulos
language : en
Publisher:
Release Date : 2015-05-25



Download Computational Recipes Of Linear And Non Linear Singular Integral Equations And Relativistic Mechanics In Engineering And Applied Science written by Evangelos G. Ladopoulos and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-25 with Science categories.