Discretization and its proof for numerical solution of a Cauchy problem for Laplace equation with inaccurately given Cauchy conditions on an inaccurately defined arbitrary surface

Cauchy problem for the Laplace equation with inaccurately given Cauchy conditions on an inaccurately defined arbitrary surface is considered. Discretization was performed and proved to obtain a numerical solution. An economic algorithm is proposed. The text was submitted by the authors in English.     

Comparing the Spatial Structure of Molecules by Minimizing a Comparison Function

Computational Mathematics and Mathematical Physics - A method for the quantitative comparison of the spatial geometric structure of two molecules is proposed. It is based on the minimization of a...     

Construction of a Carleman Function Based on the Tikhonov Regularization Method in an Ill-Posed Problem for the Laplace Equation

Based on the Tikhonov regularization method, we explicitly construct a Carleman function in an ill-posed mixed problem for the Laplace equation.