Interpolation of Multivariable Functions by Means of the Nonlinear Schema of Metric Analysis

A problem of the Interpolation of multivariable function whose values are given at a finite number of points is considered in the paper. Problems of this kind arise when solving applied problems in various fields of research, including physics, engineering, economics, etc. We propose a new approach for solving this problem with the help of a metric analysis. The article gives a numerical example of the solution of the problem of the Interpolation of multivariable function for given values of a multivariable function, demonstrating the effectiveness of the proposed scheme. © 2022 American Institute of Physics Inc.. All rights reserved.