@article{Joachimiak_M._Optimal_2014,
author={Joachimiak, M. and Ciałkowski, M.},
howpublished={online},
year={2014},
abstract={Inverse boundary problem for cylindrical geometry and unsteady heat
conduction equation was solved in this paper. This solution was presented
in a convolution form. Integration of the convolution was made assuming
the distribution of temperature T on the integration interval (ti, ti+ Δt)
in the form T (x, t) = T (x, ti) Θ + T (z, ti+ Δt) (1 - Θ), where Θ ϵ
(0,1). The influence of value of the parameter Θ on the sensitivity of the
solution to the inverse problem was analysed. The sensitivity of the
solution was examined using the SVD decomposition of the matrix A of the
inverse problem and by analysing its singular values. An influence of the
thermocouple installation error and stochastic error of temperature
measurement as well as the parameter Θ on the error of temperature
distribution on the edge of the cylinder was examined.},
type={Artykuły / Articles},
title={Optimal choice of integral parameter in a process of solving the inverse problem for heat equation},
number={No 3 September},
pages={265-280},
journal={Archives of Thermodynamics},
publisher={The Committee on Thermodynamics and Combustion of the Polish Academy of Sciences},
keywords={inverse problem, sensitivity of solution, heat conduction},
}