Adaptive computer technologies for solving problems of computational and applied mathematics / Khimich, / Chistyakova, / Sidoruk, / Yershov. (2021)
Ukrainian

English  Cybernetics and Systems Analysis   /     Issue (2021, 57 (6))

Khimich O.M., Chistyakova T.V., Sidoruk V.A., Yershov P.S.
Adaptive computer technologies for solving problems of computational and applied mathematics

A technology is proposed for automated solving of problems with innovative capabilities on the class of problems that is a system of linear algebraic equations. The application efficiency of computer technologies is considered from the point of view of implementing the three following basic paradigms of computer modeling: computer mathematics, high performance computing (HPC), and intelligent interface. The implementation of these factors as compared to traditional technologies allows for substantial redistribution of works in the process of problem statement and solution between the user and the computer, reducing the terms of development of applications for solving scientific and technical problems, and increase of the computer solution accuracy. © 2021, Springer Science+Business Media, LLC, part of Springer Nature.

Keywords: approximate data, intelligent software, mathematical modeling, neural networks, parallel computers, variable bit, Engineering education, Linear algebra, Neural networks, Applied mathematics, Approximate data, Computational mathematics, Computer technology, Innovative capability, Intelligent software, Mathematical modeling, Neural-networks, Parallel computer, Variable bit, Linear equations


Cite:
Khimich O.M., Chistyakova T.V., Sidoruk V.A., Yershov P.S. (2021). Adaptive computer technologies for solving problems of computational and applied mathematics. Cybernetics and Systems Analysis, 57 (6), 162–171. doi: https://doi.org/10.1007/s10559-021-00424-z http://jnas.nbuv.gov.ua/article/UJRN-0001284198 [In Ukrainian].


 

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