A Numerical Solution to a Problem of Crystal Energy Spectrum Determination by the Heat Capacity Dependent on a Temperature

Parallel multigrid method for solving inverse problems

“…Violations of stability are much harder to remedy because they imply that a small disturbance in the data leads to a large disturbance in the estimated solution [2] , [3] , [4] , [5] . Various methods and algorithms for solving IP “inverse problems” have been explained and used in [6] , [7] , [8] , [9] , [10] , [11] , [12] , [13] , [14] , [15] , [16] . The success of these methods and algorithms is largely based on understanding and analyzing the mathematical problems related to the declarations of the properties of these IP “inverse problems” and identifying specific difficulties in solving them [17] , [18] , [19] , [20] , [21] , [22] .…”