Numerical analysis is the branch of mathematics devoted to the study of algorithms for the approximate solution of problems that often have no closed‐form answer. At its core, numerical analysis seeks ...

General aspects of polynomial interpolation theory. Formulations in different basis, e.g. Lagrange, Newton etc. and their approximation and computational properties ...

This repository contains a collection of Jupyter notebooks that cover key topics in numerical analysis. These resources include assignments, tasks, and projects, showcasing practical implementations ...

A new method for interpolation by rational functions of prescribed numerator and denominator degrees is presented. When the interpolation nodes are roots of unity or Chebyshev points, the algorithm is ...

Focuses on numerical solution of nonlinear equations, interpolation, methods in numerical integration, numerical solution of linear systems, and matrix eigenvalue problems. Stresses significant ...

Abstract: The Lagrange representation of the interpolating polynomial can be rewritten in two more computationally attractive forms: a modified Lagrange form and a ...

Abstract: To address the issue that range migration correction is inapplicable in FMCW LiDAR caused by Doppler shifts much larger than the laser repetition frequency, an improved method based on ...