Computer Technologies of Solving Problems of Computational and Applied Mathematics with Fixed Values of Quality Characteristics

Ivan V. Sergienko (), Valeriy K. Zadiraka () and Oleg M. Lytvyn ()
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Ivan V. Sergienko: National Academy of Sciences of Ukraine
Valeriy K. Zadiraka: National Academy of Sciences
Oleg M. Lytvyn: Ukrainian Engineering Pedagogics Academy

Chapter Chapter 7 in Elements of the General Theory of Optimal Algorithms, 2021, pp 337-356 from Springer

Abstract: Abstract This chapter describes computer technologies for solving problems of computational and applied mathematics with given values of quality characteristics in accuracy and speed. This technology is suitable for any problem of computational and applied mathematics. This computer technology is essentially based on the use of all possible reserves of computational optimization, including the theory of errors, optimal for the accuracy and speed of computational algorithms, detection and refinement of a priori information about the problem, the choice of computational model, and more. This computer technology is illustrated by the task of integrating fast-oscillating functions. Problems of computational and applied mathematics related to the integration of fast-oscillating functions are also given.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-030-90908-6_7

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DOI: 10.1007/978-3-030-90908-6_7

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