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Volterra and Fredholm integral equations form the domain of this book. Special chapters are devoted to Abel's integral equations and the singular integral equation with Cauchy kernel; others focus on the integral equation method and the boundary element method (BEM).
While a small section affords some theoretical grounding in integral equations (covering existence, regularity, etc.), the larger part of the book is devoted to a description and analysis of the discretisation methods (Galerkin/collocation/Nystrom). Also the multigrid method for the solution of discrete equations is analysed. The most prominent application of integral equations occurs in the use of the boundary element method, which here is discussed from the numerical point of view in particular.
New results about numerical integration and the panel clustering technique are included. Many chapters have an introductory character, while special subsections give more advanced information. Intended readers are students of mathematics as well as postgraduates.
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Previews available in: English
Subjects
Integral equations, Numerical solutionsEdition | Availability |
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1
Integral Equations: Theory and Numerical Treatment
Sep 27, 2011, Birkhäuser
paperback
3034899475 9783034899475
|
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Libraries near you:
WorldCat
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2
Integral equations: theory and numerical treatment
1995, Birkhäuser Verlag
in English
3764328711 9783764328719
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Libraries near you:
WorldCat
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Book Details
Edition Notes
Includes bibliographical references (p. (344)-352) and index.
Translation of, Integralgleichungen.
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The Physical Object
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