Geodesic
The solution of two-dimensional Fredholm integral equations of the first kind with multiprocessor systems
Numerical methods and programming, Tome 4 (2003) no. 1, pp. 323-326

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Some aspects of solving two-dimensional nonlinear integral Fredholm equations of the first kind with multiprocessor systems are considered. Tikhonov's regularization is applied to this ill-posed problem on the basis of minimization of Tikhonov's functional by the conjugate gradient method. A number of schemes for parallelization are proposed. The efficiency of our approach is demonstrated.
Keywords: ill-posed problems, Fredholm equation, Tikhonov's functional, conjugate gradient method, parallel computing. 
@article{VMP_2003_4_1_a31,
     author = {M. P. Vasil'ev and A. G. Yagola},
     title = {The solution of two-dimensional {Fredholm} integral equations of the first kind with multiprocessor systems},
     journal = {Numerical methods and programming},
     pages = {323--326},
     publisher = {mathdoc},
     volume = {4},
     number = {1},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2003_4_1_a31/}
}
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M. P. Vasil'ev; A. G. Yagola. The solution of two-dimensional Fredholm integral equations of the first kind with multiprocessor systems. Numerical methods and programming, Tome 4 (2003) no. 1, pp. 323-326. http://geodesic.mathdoc.fr/item/VMP_2003_4_1_a31/