TL;DR
This paper extends Neville's algorithm to include derivatives of the interpolating polynomial, enhancing its capabilities for polynomial interpolation tasks.
Contribution
The paper introduces an extension to Neville's algorithm that incorporates derivatives, offering a new method for polynomial interpolation.
Findings
Enhanced interpolation accuracy with derivative inclusion
Maintains numerical stability and efficiency
Applicable to advanced interpolation problems
Abstract
Neville's algorithm is known to provide an efficient and numerically stable solution for polynomial interpolations. In this paper, an extension of this algorithm is presented which includes the derivatives of the interpolating polynomial.
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Taxonomy
TopicsIterative Methods for Nonlinear Equations · Numerical methods for differential equations