ABSTRACT

The article presents the theoretical foundations of A-Data Processing Technology (ADPT), which differs from Computational Science and Engineering (CSE) as a broad multidisciplinary area that encompasses applications in science/engineering, applied mathematics, numerical analysis, and computer science in terms of computing concepts.

The epistemological basis of the ADPT approach is a set of objects built on new finite models of measurement and numerical information, formed in Sigma-algebras that match up to isomorphism, providing a new transdisciplinary level of approach to the formation of CSE information support

ADPT opens the possibility (and the need) on the one hand to delve into the logic of the processes that determine the practical semantics-CSE, and on the other hand, to involve in the process of converting CHI related a priori information.

The central role of ADPT in these structures is to apply information and knowledge to the generation of new knowledge, leading to a radical change in the methodological foundations of the formation and use of all the basic elements of Numerical methods, defining a new way of thinking in Applied and Fundamental Mathematics.

Keywords: computational mathematics, applied mathematics, information technologies.

Categories and Subject Descriptors: (Primary) C.0 [Computer Systems Organization]:

General– instruction set design; D.3.4 [Programming Languages]: Processors —computers, optimization; G. 1.0 [Numerical Analysis]: General—computer arithmetic, error analysis, numerical algorithms

(Secondary) D. 2.1 [Software Engineering]: Requirements/Specifications– languages; D, 3.1 [Programming Languages]: Formal Definitions and Theory —semantics D ,4.1 [Operating Systems]: Process Management—synchronization