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

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{VMP_2010_11_2_a7,
     author = {V. V. Suvorov},
     title = {An abstract-algebraic approach to the construction of computing environments},
     journal = {Numerical methods and programming},
     pages = {50--61},
     publisher = {mathdoc},
     volume = {11},
     number = {2},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2010_11_2_a7/}
}
TY  - JOUR
AU  - V. V. Suvorov
TI  - An abstract-algebraic approach to the construction of computing environments
JO  - Numerical methods and programming
PY  - 2010
SP  - 50
EP  - 61
VL  - 11
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VMP_2010_11_2_a7/
LA  - ru
ID  - VMP_2010_11_2_a7
ER  - 
%0 Journal Article
%A V. V. Suvorov
%T An abstract-algebraic approach to the construction of computing environments
%J Numerical methods and programming
%D 2010
%P 50-61
%V 11
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VMP_2010_11_2_a7/
%G ru
%F VMP_2010_11_2_a7
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/