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JOURNALS // Numerical methods and programming // Archive

Num. Meth. Prog., 2003 Volume 4, Issue 1, Pages 323–326 (Mi vmp726)

This article is cited in 1 paper

The solution of two-dimensional Fredholm integral equations of the first kind with multiprocessor systems

M. P. Vasil'ev, A. G. Yagola

Lomonosov Moscow State University, Faculty of Physics

Abstract: 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.

UDC: 519.633.9



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