"Application of multiprocessor systems to solving the twodimensional
convolutiontype Fredholm integral equations of the first kind
for vectorfunctions" Evdokimova N.A., Lukyanenko D.V., Yagola A.G. 
Some features of numerical solving the convolutiontype Fredholm integral equations of the first kind for vectorfunctions with the use of multiprocessor systems are considered. The Tikhonov regularization is applied for solving this illposed problem. The Tikhonov functional's extremal is found using the twodimensional discrete Fourier transform. The choice of the regularization parameter is performed according to the generalized discrepancy principle. Several parallelization schemes are proposed to solve this problem; the efficiency of these schemes is shown. Keywords: inverse problem, equation of convolution type, vector function, mathematical simulation, Tikhonov regularization, parallel algorithms

Evdokimova N.A.
email: naevdok@math.susu.ac.ru; Lukyanenko D.V. email: lukyanenkodmitry@yandex.ru; Yagola A.G. email: yagola@yahoo.com 