Singular Integral Equations: Linear and Non-linear Theory and its Applications in Science and Engineering - Hardcover

Ladopoulos, E.G.

 
9783540672302: Singular Integral Equations: Linear and Non-linear Theory and its Applications in Science and Engineering
Hardcover
ISBN 10: 3540672303 ISBN 13: 9783540672302
Verlag: Springer, 2000

Inhaltsangabe

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.

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Verlag
Springer
Erscheinungsdatum
2000
Sprache
Englisch
ISBN 10 
3540672303
ISBN 13 
9783540672302
Einband
Gebundene Ausgabe
Anzahl der Seiten
578
Kontakt zum Hersteller
preigu GmbH & Co. KG
mail@preigu.de

Lengericher Landstr. 19
Osnabrück
Niedersachsen
49078
Deutschland

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9783642086588: Singular Integral Equations: Linear and Non-linear Theory and its Applications in Science and Engineering

Vorgestellte Ausgabe

ISBN 10:  3642086586 ISBN 13:  9783642086588
Verlag: Springer Berlin Heidelberg, 2009
Softcover