Implementions -- Parallel Programming Models for Irregular Algorithms -- Basic Approach to Parallel Finite Element Computations: The DD Data Splitting -- A Performance Analysis of ABINIT on a Cluster System -- Some Aspects of Parallel Postprocessing for Numerical Simulation -- Algorithms -- Efficient Preconditioners for Special Situations in Finite Element Computations -- Nitsche Finite Element Method for Elliptic Problems with Complicated Data -- Hierarchical Adaptive FEM at Finite Elastoplastic Deformations -- Wavelet Matrix Compression for Boundary Integral Equations -- Numerical Solution of Optimal Control Problems for Parabolic Systems -- Applications -- Parallel Simulations of Phase Transitions in Disordered Many-Particle Systems -- Localization of Electronic States in Amorphous Materials: Recursive Green’s Function Method and the Metal-Insulator Transition at E ? 0 -- Optimizing Simulated Annealing Schedules for Amorphous Carbons -- Amorphisation at Heterophase Interfaces -- Energy-Level and Wave-Function Statistics in the Anderson Model of Localization -- Fine Structure of the Integrated Density of States for Bernoulli–Anderson Models -- Modelling Aging Experiments in Spin Glasses -- Random Walks on Fractals -- Lyapunov Instabilities of Extended Systems -- The Cumulant Method for Gas Dynamics.

This book presents major advances in high performance computing as well as major advances due to high performance computing. It contains a collection of papers in which results achieved in the collaboration of scientists from computer science, mathematics, physics, and mechanical engineering are presented. From the science problems to the mathematical algorithms and on to the effective implementation of these algorithms on massively parallel and cluster computers we present state-of-the-art methods and technology as well as exemplary results in these fields. This book shows that problems which seem superficially distinct become intimately connected on a computational level.