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Solution of inverse boundary-value problems for multicomponent parabolic distributed systems
Authors:I V Sergienko  V S Deineka
Affiliation:(1) V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine
Abstract:Computational algorithms implementing gradient methods based on solution of direct and adjoint problems in weak formulations are proposed for a number of complex-valued inverse problems of parameter renewal in multicomponent parabolic distributed systems. This approach makes it unnecessary to construct Lagrangian functionals explicitly and to use Green’s functions. __________ Translated from Kibernetika i Sistemnyi Analiz, No. 4, pp. 49–73, July–August 2007.
Keywords:multicomponent parabolic systems  inverse problems  direct and adjoint problems in weak formulations  gradient methods
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