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Numerical methods and programming, 2003, Volume 4, Issue 1, Pages 323–326
(Mi vmp726)
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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
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.
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
Linking options:
https://www.mathnet.ru/eng/vmp726 https://www.mathnet.ru/eng/vmp/v4/i1/p323
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