Postprocessing and reliability evaluation of the one-dimensional numerical simulation results in mechanical problems

The work addresses extended formulation of a new approach proposed to control numerical data error. It includes: development of postprocessing techniques for approximation of data given in a discrete form and estimation (evaluation) of this data a posteriori error and the reliability index. Theoretical consideration and numerical analysis are based on the Adaptive Meshless Finite Difference (MFDM) approach.