Abstract
Abstract The main thrust of this monograph is to produce an up-to-date exposition of the current state of the art of numerical methods for solving IVPs in a parallel environment. As will be seen, any algorithmic implementation is architecture dependent and so before any attempts can be made in the development of such methods, the nature of the underlying computing environment should be considered. There is (at the time of writing in August 1994) an enormous variety of parallel computing architectures with completely different programming paradigms, and so the aim of this chapter is to acquaint the reader with the types of parallel machines that are now available and to present a general discussion on various aspects of parallel computing. Although two companies (Thinking Machines and Kendall Square) have only recently (late 1994) stopped trading, their products will still be discussed as their machines represent a significant step in the evolution of supercomputing.
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