Описано етапи синтезу, оптимізації і дослідження математичних моделей алго- ритмічної складової автоматів методом алгебри алгоритмів, декомпозиції і математичної індукції.
There is describe by the stages of synthesis, optimization and study mathematical models of machine algorithmic component by the methods of algorithm algebra, decomposition and mathematical induction.
Модель інформаційної технології опрацювання формул алгоритмів описано розширеною алгеброю алгоритмів у вигляді рекурентно-декомпозиційної моделі. За ознакою функціонального призначення модель декомпоновано на субмоделі. Описано візуальну і функціональну підмоделі інформаційної технології. Наведено фрагмент програмної реалізації моделі.
A new mathematical model of the nonstationary process of heat and moisture transfer in the two-dimensional region is constructed on the basis of the use of Caputo and Grunwald- Letnikov derivatives. An implicit finite-difference scheme for approximation of a mathematical model of noisothermal moisture transfer taking into account the fractional integro-differential apparatus is developed. The given algorithm of numerical realization of model allows to receive values of function of temperature and humidity for all points of area of partition.
This paper addresses the problem of identifying rheological parameters of wood using artificial neural networks with parallel learning algorithm using Python programming language, Chainer framework and CUDA technology. An intelligent system for identification of rheological parameters of wood has been developed. The system created contains the most user-friendly interface, all the necessary set of tools for automation of the process of visualization and analysis of data.
Method of parallelism extraction from sequential program is proposed. The definition of three address code is given. The requirements to the sequential and parallel program are determined. The structure and design performance of the parallel program are given. The description of two stages of the parallelism extraction method is proposed: stage of preliminary field initialization and recursive stage of the parallel extraction. Evaluate efficient of the parallelism extraction method based on an example of FFT 64p.
The paper discusses versatile constraint equations used for providing compatibility between the solutions obtained for separate sub-domains of electromagnetic field which are analyzed simultaneously. The mathematical model of the task has been developed using invariant approximation technique for finite-difference method. Different techniques for domain decomposition are considered. The discussed constraint equations and domain decomposition techniques have been applied to solving a test problem, and namely the problem of magnetic skin-effect.
Analysis of characteristics of software implementation of parallelization of process of constructing of discrete dynamical models was conducted in this paper. SIMD-architecture was used for the task of parallelization. Technology CUDA and GPU NVIDIA was used for this software implementation.