Integral equations
Subtitle: theory and numerical treatment
By: Wolfgang Hackbusch.
Series: International series of numerical mathematics -- vol. 120
Publisher: Birkhäuser Verlag
Published: 1995
Place of publication: Basel
Language: eng
Number of pages: 359
Subjects: Integral equations.; Integral equations -- Numerical solutions.
Description: 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.
Notes: Includes bibliographical references (p. (344)-352) and index.

Translation of, Integralgleichungen.