Geodesic
Some features of solving the problems of mapping for allocation of chemical
Numerical methods and programming, Tome 3 (2002) no. 1, pp. 1-13.

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

The problem of mapping for allocation of chemical elements on stellar surfaces is considered as an ill-posed one. The minimization of Tikhonov's functional with the choice of a regularization parameter according to the finite-dimensional generalized discrepancy principle is used to construct a regularizing algorithm for solving the problem under consideration. The method based on projections of conjugate gradients onto a set of non-negative vectors is chosen as a method of minimization. An approach to numerical solution of the minimization problem is considered for the above mapping problem. A multiprocessor computer is used to solve several model problems numerically. Some schemes of parallelization are offered and special features of their realization are discussed.
Keywords: ill-posed problems, problems of mapping, Tikhonov's functional, multiprocessor systems. 
@article{VMP_2002_3_1_a0,
     author = {A. G. Yagola and V. N. Titarenko and M. P. Vasil'ev and E. V. Shimanovskaya},
     title = {Some features of solving the problems of mapping for allocation of chemical},
     journal = {Numerical methods and programming},
     pages = {1--13},
     publisher = {mathdoc},
     volume = {3},
     number = {1},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2002_3_1_a0/}
}
TY  - JOUR
AU  - A. G. Yagola
AU  - V. N. Titarenko
AU  - M. P. Vasil'ev
AU  - E. V. Shimanovskaya
TI  - Some features of solving the problems of mapping for allocation of chemical
JO  - Numerical methods and programming
PY  - 2002
SP  - 1
EP  - 13
VL  - 3
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VMP_2002_3_1_a0/
LA  - ru
ID  - VMP_2002_3_1_a0
ER  - 
%0 Journal Article
%A A. G. Yagola
%A V. N. Titarenko
%A M. P. Vasil'ev
%A E. V. Shimanovskaya
%T Some features of solving the problems of mapping for allocation of chemical
%J Numerical methods and programming
%D 2002
%P 1-13
%V 3
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VMP_2002_3_1_a0/
%G ru
%F VMP_2002_3_1_a0
A. G. Yagola; V. N. Titarenko; M. P. Vasil'ev; E. V. Shimanovskaya. Some features of solving the problems of mapping for allocation of chemical. Numerical methods and programming, Tome 3 (2002) no. 1, pp. 1-13. http://geodesic.mathdoc.fr/item/VMP_2002_3_1_a0/