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Titlebook: Singular Integral Equations; Linear and Non-linea E. G. Ladopoulos Book 2000 Springer-Verlag Berlin Heidelberg 2000 Angewandte Mathematik.M

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发表于 2025-3-21 18:50:21 | 显示全部楼层 |阅读模式
书目名称Singular Integral Equations
副标题Linear and Non-linea
编辑E. G. Ladopoulos
视频video
概述The author treats the theory of Singular Integral Equations thoroughly.Applications - mostly in engineering mechanics - are widely described in connection to the treated theory.The author is a well-kn
图书封面Titlebook: Singular Integral Equations; Linear and Non-linea E. G. Ladopoulos Book 2000 Springer-Verlag Berlin Heidelberg 2000 Angewandte Mathematik.M
描述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 fini
出版日期Book 2000
关键词Angewandte Mathematik; Mechanik; Operator; calculus; differential equation; engineering mechanics; finite
版次1
doihttps://doi.org/10.1007/978-3-662-04291-5
isbn_softcover978-3-642-08658-8
isbn_ebook978-3-662-04291-5
copyrightSpringer-Verlag Berlin Heidelberg 2000
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发表于 2025-3-21 21:06:08 | 显示全部楼层
Multidimensional Singular Integral Equations in Plasticity of Isotropic Solids,erical techniques discretize the domain of the problem under consideration into a number of elements or cells. The governing equations of the problem are then approximated over the region by functions which fully or partially satisfy the boundary conditions.
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Book 2000integral 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 o
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Introduction, finite-part singular integral equation, or to a system of such integral equations. Hence, it is of interest to solve numerically these systems of singular integral equations of the respective boundary value problem, instead of the problem itself.
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Finite-Part Singular Integral Equations in Elasticity and Fracture Mechanics,nics theory. Bearing in mind the implications for different engineering problems, some restrictions will be imposed upon the unknown and the given functions appearing in the systems of finite-part singular integral equations under consideration, or in the boundary conditions of the problems consider
发表于 2025-3-23 02:41:24 | 显示全部楼层
Multidimensional Singular Integral Equations,ity, viscoelasticity, viscoplasticity and fracture mechanics theory. F. G. Tricomi [1], [2] has written the first important work on multidimensional singular integrals and investigated double singular integrals of the following form: .where:.and .(.,.) is the weight function for various quadrature r
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