Geodesic
Application of multiprocessor systems for solving three-dimensional
Numerical methods and programming, Tome 11 (2010) no. 4, pp. 336-343.

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Some features of the numerical implementation of solving tree-dimensional Fredholm integral equations of the first kind for vector functions with application of multiprocessor systems are considered. The Tikhonov regularization is applied to solve this ill-posed problem. The conjugate gradient method is used as a minimization procedure. The choice of the regularization parameter is performed according to the generalized discrepancy principle. A parallelization scheme for this problem is proposed; the efficiency of the approach under consideration is shown by the example of restoring magnetization parameters. This work was supported by the Russian Foundation for Basic Research (projects 08-01-00160-a and 10-01-91150-NFSC). The numerical results were obtained using the Computing Cluster of Moscow State University.
Keywords: three-dimensional Fredholm integral equations of the first kind; conjugate gradient method; Tikhonov regularization; parallel algorithms. 
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     author = {D. V. Luk'yanenko and A. G. Yagola},
     title = {Application of multiprocessor systems for solving three-dimensional},
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     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2010_11_4_a4/}
}
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D. V. Luk'yanenko; A. G. Yagola. Application of multiprocessor systems for solving three-dimensional. Numerical methods and programming, Tome 11 (2010) no. 4, pp. 336-343. http://geodesic.mathdoc.fr/item/VMP_2010_11_4_a4/