Інтерполяція багатовимірних функцій різницевими методами

Abstract

The thesis is devoted to the multidimensional functions interpolation by difference methods, and increasing of interpolation process efficiency . In the work an approach for interpolation of functions with multiple variables by using the multidimensional difference is suggested. It gives an opportunity to expand the scope of difference methods usage. The error, occurring during the interpolation of three-dimensional function difference methods, is estimated. Performance of the interpolation by using differences methods is improved by means of representing mathematic models in matrix form, that gives an opportunity to parallel the calculating process, and organizing calculation ин using Horner’s scheme. It allows to decrease complexity of the task of multidimensional functions interpolation. Performance and accuracy of suggested methods was investigated. Methodologies and algorithms of suggested methods usage were developed. Software was developed by using suggested methodologies and algorithms as well.