Multi-Grid Methods and Applications Elliptic Differential Equations. Also the multigrid method for the solution of discrete equation 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.
From the Preface Contents Index Originally published in German under the title Integralgleichungen. Theorie und Numerik . Theory and Numerical Treatment Springer Series in Computational Mathematics 18 Springer-Verlag, Berlin Heidelberg New York. The books offers a simultaneous presentation of the theory and of the numerical treatment of elliptic boundary value problems. Starting from the Laplace equation in the classical formulation and its discretisation by finite differences the subjects are discussed according to their complexity.