Numerical-analytical conception of decisions of the applied tasks based on charts of an increase order of exactness
Journal Title: Комп’ютерне моделювання: аналіз, управління, оптимізація - Year 2017, Vol 1, Issue 1
Abstract
The article is sanctified to the distributed modeling of visualization of decisions vectors of the applied tasks based on charts of an increase order of exactness. Higher acceleration of computation compared with the finite difference approach is illustrated by the use of analytical decisions that allow computation simultaneously and in parallel in all time layers. It is shown that the most promising approach to the mathematical modeling of applied tasks is one that is based on numericalanalytic decisions. It has been found that the application of parallel computing technologies in distributed cluster-type systems, having relatively low cost and easily scaled both by the number of processors and by the amount of RAM, is considered as an effective tool in the processing of applied tasks in metallurgical production. The approach considered in this work is the numerical-analytical concept of vectors visualization in the decisions of applied tasks that allows obtaining any necessary data for the construction of smooth charts or isolines on the corresponding grids. The maximum parallel forms of the algorithm are a subject of special interest, as they determine the minimum possible implementation time of the visualization algorithm. For computing experiments based on application of multiprocessor computing system the package of applied programs was developed to implement the decision of coefficient reverse tasks of heat-conduction by mathematical modeling method. The application package was developed taking into account the requirements of object-oriented programming.
Authors and Affiliations
Г. Г. Швачич, В. П. Іващенко, О. В. Іващенко
Keywords
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