FUNCTIONAL IDENTIFICATION OF THE NONLINEAR
THERMAL-CONDUCTIVITY COEFFICIENT BY GRADIENT METHODS. 
I. CONJUGATE OPERATORS

V. T. Borukhova and V. I. Timoshpol'skiib 

UDC 536.2

Consideration is given to the gradient methods of solution 
of the inverse heat-conduction problem on determination of the nonlinear 
coefficient (T) without its preliminary finite-dimensional approximation.

a Institute of Mathematics, National Academy of Sciences 
of Belarus, 11 Surganov Str., Minsk, 220072, Belarus; 
b A. V. Luikov Heat and Mass Transfer Institute, 
National Academy of Sciences of Belarus, Minsk, Belarus. Translated 
from Inzhenerno-Fizicheskii Zhurnal, Vol. 78, No. 4, pp. 68-74, 
July-August, 2005. Original article submitted February 2, 2005..