From Error Theory to Modern Computer Technologies

The article summarizes the development of computational mathematics during 50 years’ period (1969–2019) in the field of accuracy and efficiency of computational algorithms.In particular, it is emphasized on the global error of the computational algorithm (с. a.), estimates of its quality, the formul...

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Bibliographic Details
Date:2019
Main Authors: Сергієнко, Іван Васильович, Задірака, Валерій Костянтинович, Швідченко, Інна Віталіївна
Format: Article
Language:Ukrainian
Published: Кам'янець-Подільський національний університет імені Івана Огієнка 2019
Online Access:http://mcm-math.kpnu.edu.ua/article/view/174209
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Journal Title:Mathematical and computer modelling. Series: Physical and mathematical sciences

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Mathematical and computer modelling. Series: Physical and mathematical sciences
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Summary:The article summarizes the development of computational mathematics during 50 years’ period (1969–2019) in the field of accuracy and efficiency of computational algorithms.In particular, it is emphasized on the global error of the computational algorithm (с. a.), estimates of its quality, the formulation of computations optimization problems, computational algorithms that are optimal in accuracy and processing speed, reserves of calculations optimization, testing the quality of applied software, computer technologies solving the problems of applied and computational mathematics with the given values of quality characteristics in accuracy and processing speed.