Geodesic
An iterative method for solving a boundary value problem for a system of first-order ordinary differential equations with parameter for cluster systems
Numerical methods and programming, Tome 6 (2005) no. 1, pp. 239-248

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

In this paper, some problems of development, investigation, and implementation of parallel iterative methods for solving nonlinear equations are discussed. The question of finding a self-similar solution of a mathematical model describing the unsteady motion of a gas appeared under the influence of a plane piston in the presence of volume sources (sinks) of mass, impulse, and energy is also considered. The development and implementation of a parallel iterative method for solving the boundary value problem obtained is studied. The work was supported by the International Science and Technology Center (ISTC) in the framework of the project “Development of High-Performance Computing Cluster and Databases in Armenia” (A-823).
Keywords: parallel iterative methods, nonlinear equations, patallel computing, high-performance computing clusters. 
@article{VMP_2005_6_1_a21,
     author = {T. D. Davitashvili and G. V. Meladze and V. G. Saakyan and P. A. Tsereteli},
     title = {An iterative method for solving a boundary value problem for a system of first-order ordinary differential equations with parameter for cluster systems},
     journal = {Numerical methods and programming},
     pages = {239--248},
     publisher = {mathdoc},
     volume = {6},
     number = {1},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2005_6_1_a21/}
}
TY  - JOUR
AU  - T. D. Davitashvili
AU  - G. V. Meladze
AU  - V. G. Saakyan
AU  - P. A. Tsereteli
TI  - An iterative method for solving a boundary value problem for a system of first-order ordinary differential equations with parameter for cluster systems
JO  - Numerical methods and programming
PY  - 2005
SP  - 239
EP  - 248
VL  - 6
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VMP_2005_6_1_a21/
LA  - ru
ID  - VMP_2005_6_1_a21
ER  - 
%0 Journal Article
%A T. D. Davitashvili
%A G. V. Meladze
%A V. G. Saakyan
%A P. A. Tsereteli
%T An iterative method for solving a boundary value problem for a system of first-order ordinary differential equations with parameter for cluster systems
%J Numerical methods and programming
%D 2005
%P 239-248
%V 6
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VMP_2005_6_1_a21/
%G ru
%F VMP_2005_6_1_a21
T. D. Davitashvili; G. V. Meladze; V. G. Saakyan; P. A. Tsereteli. An iterative method for solving a boundary value problem for a system of first-order ordinary differential equations with parameter for cluster systems. Numerical methods and programming, Tome 6 (2005) no. 1, pp. 239-248. http://geodesic.mathdoc.fr/item/VMP_2005_6_1_a21/