МОДЕЛИ ОТОБРАЖЕНИЯ МНОГОШАГОВЫХ АЛГОРИТМОВ НА ПАРАЛЛЕЛЬНЫЕ ВЫЧИСЛИТЕЛЬНЫЕ СИСТЕМЫ С ТОПОЛОГИЕЙ ГИПЕРКУБ

Abstract

Multistep block methods for decision Cauchy problem for usual differential equations, that are competent on realization in calculable systems with parallel architecture, are introduce up. reflection of extra-exact multistep block algorithms on parallel calculable structures SIMD and MIMD types with gipercub topology is realized. The realization peculiarities multistep multipoint block methods on parallel structures with vary dimensions of processor fields are definite. Comparative descriptions of offered reflection methods and recommendation on selection of worked up algorithms for diverse types of solved systems of usual differential equalizations are given. Parallelizm estimations are got: acceleration and effectiveness for offered decision reflection methods.