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On solving systems of ordinary differential equations on MIMD-computers
Authors:A. N. Khimich  M. F. Yakovlev  T. A. Gerasimova
Affiliation:(1) V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine
Abstract:The error of solution of Cauchy problems for systems of ordinary differential equations is estimated in the case where the input data are approximate. It is shown how to prepare a program for computing the right-hand sides of the system automatically and simultaneously. Diagrams are presented to illustrate the efficiency of parallelization. __________ Translated from Kibernetika i Sistemnyi Analiz, No. 2, pp. 175–182, March–April 2007.
Keywords:Cauchy problem for systems of ordinary differential equations  distributed-memory MIMD computers  parallelizing of computations  approximate initial data
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