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Numerical methods and programming, 2003, Volume 4, Issue 1, Pages 323–326 (Mi vmp726)  

This article is cited in 1 scientific paper (total 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
Full-text PDF (131 kB) Citations (1)
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
Language: Russian
Citation: M. P. Vasil'ev, A. G. Yagola, “The solution of two-dimensional Fredholm integral equations of the first kind with multiprocessor systems”, Num. Meth. Prog., 4:1 (2003), 323–326
Citation in format AMSBIB
\Bibitem{VasYag03}
\by M.~P.~Vasil'ev, A.~G.~Yagola
\paper The solution of two-dimensional Fredholm integral equations of the first kind with multiprocessor systems
\jour Num. Meth. Prog.
\yr 2003
\vol 4
\issue 1
\pages 323--326
\mathnet{http://mi.mathnet.ru/vmp726}
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  • https://www.mathnet.ru/eng/vmp/v4/i1/p323
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