TL;DR
This paper reformulates high-degree interpolation polynomials that incorporate function values and derivatives, and introduces a new barycentric variant formula for improved interpolation accuracy.
Contribution
It presents a novel reformulation of osculating interpolation polynomials and a new barycentric formula variant, enhancing interpolation methods.
Findings
Enhanced interpolation accuracy with the new barycentric formula
Reformulated high-degree osculating interpolation polynomials
Potential for improved numerical stability in interpolation
Abstract
The development of high-degree interpolation polynomials which use the values of the function and its subsequent derivatives is reformulated. Also, we present a variant of new formula in barycentric form.
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Taxonomy
TopicsElectromagnetic Scattering and Analysis · Iterative Methods for Nonlinear Equations · Numerical methods in engineering