Geodesic
An abstract-algebraic approach to the construction of computing environments
Numerical methods and programming, Tome 11 (2010) no. 2, pp. 50-61

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A method for solving mathematical and applied problems in object-oriented representation is proposed. The method is based on using abstract algebraic structures and Java language coding. A computing environment is created whose dynamics is controlled by the functional and predicative components of the problem's object content. A solution is obtained as a result of data self-transformation of the problem's initial content. The possibility of applying the method to solve algebraic problems is discussed when a problem is represented in matrix form or as a system of equations to determine the structural and group characteristics. The work was supported by the Russian Foundation for Basic Research (project No. 09-07-12135).
Keywords: abstract-algebraic approach; object formulation; data self-transformation; system-creating principle. 
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     author = {V. V. Suvorov},
     title = {An abstract-algebraic approach to the construction of computing environments},
     journal = {Numerical methods and programming},
     pages = {50--61},
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     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2010_11_2_a7/}
}
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V. V. Suvorov. An abstract-algebraic approach to the construction of computing environments. Numerical methods and programming, Tome 11 (2010) no. 2, pp. 50-61. http://geodesic.mathdoc.fr/item/VMP_2010_11_2_a7/