Journal of Inverse and Ill-posed Problems
Editor-in-Chief: Kabanikhin, Sergey I.
6 Issues per year
IMPACT FACTOR increased in 2015: 0.987
Rank 59 out of 312 in category Mathematics and 93 out of 254 in Applied Mathematics in the 2015 Thomson Reuters Journal Citation Report/Science Edition
SCImago Journal Rank (SJR) 2015: 0.583
Source Normalized Impact per Paper (SNIP) 2015: 1.106
Impact per Publication (IPP) 2015: 0.712
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Characteristic interactions and successive approximations in problems on evaluating coefficients of transport equation and elemental content of a medium
Inversion methods are very important components of nuclear-geophysical technologies. Their main aim is to evaluate the set of parameters of a formation, using measurements data. The parameters describe the properties and the elemental content of it, and they enter into coefficients of the transport equation. In this paper we develop and formalize an approach to problems on mathematical interpretation of the data, we state two inverse problems to the equation and construct successive approximations of the “prime” iteration type to solve a corresponding system of parameters evaluation. The approach is based on concepts defined of “characteristic” interactions, elements, and matrix, it uses the superposition principle for transport processes and linear a priori constraints for the unknowns. Earlier a few concrete problems were examined within this approach.
Keywords.: Transport equation; inverse problems; numerical methods; measurement data; nuclear-geophysical logging; evaluation of coefficients parameters and parameters of a medium; iteration methods; convergence