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Das schnelle Losen groer, schwachbesetzter linearer und nichtlinearer Glei- chungssysteme ist in den letzten Jahren immer mehr in den Brennpunkt des Interes- ses geruckt. Der Grund hierfur ist vor allem in der wachsenden Verflechtung von Numerischer Mathematik und Anwendungsbereichen zu suchen. So sind etwa die Probleme in der Numerischen Stromungsmechanik auch bei Verwendung der mod- ernsten Computertechnologie kaum noch mit bisher oft ublichen Hau-Ruck-Metho- den zu losen. Inzwischen existieren verschiedene Klassen schneller und moderner Verfahren zur Losung der hierbei auftretenden groen...

This volume contains a selection from the papers presented at the Fifth European Multigrid Conference, held in Stuttgart, October 1-4, 1996. There were 88 registered participants from 14 different countries worldwide, and 65 lectures were given. Earlier European Multigrid Conferences were held in Cologne in 1981 and 1985, in Bonn in 1990, and in Amsterdam in 1993. The next European Conference is planned in 1999 in Gent. The European Multigrid Conference '96 was organized by the Institut fUr Computer anwendungen (ICA) of Stuttgart University, in cooperation with the GAMM Com mittee for...

During the last decade essential progress has been achieved in the analysis and implementation of multilevel/rnultigrid and domain decomposition methods to explore a variety of real world applications. An important trend in mod- ern numerical simulations is the quick improvement of computer technology that leads to the well known paradigm (see, e. g., 78,179]): high-performance computers make it indispensable to use numerical methods of almost linear complexity in the problem size N, to maintain an adequate scaling between the computing time and improved computer facilities as N increases....