Lyakhov A. Intellectualization of the decision of scientific and applied problems on the basis of methods of computer algebra

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0504U000290

Thesis Registration Form

0504U000290.pdf

Applicant for

Specialization

  • 01.05.03 - Математичне та програмне забезпечення обчислювальних машин і систем

14-05-2004

Specialized Academic Board

Д 26.204.01

Essay

The object is present problems of application of computer algebra, hindering creation of the software of scientific and applied problems. The purpose is creation of the theoretical and applied bases of intellectualization of the software for the automatic decision by numerical-analytical methods of difficult scientific and applied problems. The methods are set-theoretic approach, methods of the mathematical analysis, theory of generalized functions, topology, theory of programming and computer algebra, as well as methodological principles and methods, developed in given dissertation. The theoretical and applied bases of intellectualization for automatic solving difficult scientific and engineering problems by symbolic methods have been created. The analysis of present difficulties in applying numerical - analytical methods is given. The class "computer algebra difficult problems" is chosen and defined. The possibility to eliminate these difficulties by software intellectualization by languages on the analytical basis is proved. The set-theoretic model of the applied problem has been developed and the existence of such language has been proven. General data structures and basic procedures of a new generation computer algebra system for difficult problems software intellectualization have been grounded and developed on this basis. The received results have been used for the development of new ANALYTIC language family - ANALYTIC-2000 and tested on existing difficult engineering problems. For this purpose, the analytical models, solving methods, algorithms and software have been developed.

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Files

Автореферат--aref.doc

Автореферат--title.DOC

Дисертація--ВИСНОВКИ.doc

Дисертація--ВСТУП.doc

Дисертація--ДОДАТКИ.doc

Дисертація--ЗМІСТ.doc

Дисертація--Література.doc

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Дисертація--СКОРОЧЕННЯ.doc

Дисертація--ТИТУЛКА.doc

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