Results 171 to 180 of about 938,411 (197)

PEtab.jl: Advancing the Efficiency and Utility of Dynamic Modelling

open access: yes
Persson S   +7 more
europepmc   +1 more source

On the numerical stability of Newton’s formula for Lagrange interpolation

Journal of Computational and Applied Mathematics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
André Pierro De Camargo
exaly   +2 more sources

Multivariate polynomial interpolation under projectivities part I: lagrange and newton interpolation formulas

Numerical Algorithms, 1991
The autors show that multivariate interpolation by polynomials on certain geometric systems can be treated by considering this problem on certain standard knot systems. The approach works with any system of knots such that the classical multivariate divided differences can be defined after application of a suitable perspective mapping. For such systems,
Günter W. Mühlbach, Mariano Gasca
exaly   +3 more sources

Optimal interval length for the collocation of the Newton interpolation basis [PDF]

open access: yesNumerical Algorithms, 2018
It is known that the Lagrange interpolation problem at equidistant nodes is ill-conditioned. We explore the influence of the interval length in the computation of divided differences of the Newton interpolation formula. Condition numbers are computed for
Juan Manuel Pena   +2 more
exaly   +2 more sources

A Novel Demosaicing Algorithm Based on Gregory Newton Formula of Interpolation

Journal of Computational and Theoretical Nanoscience, 2017
Kannan Elayaperumal Paul   +1 more
exaly   +2 more sources

Lagrange Interpolation and the Newton–Cotes Formulas on a Bakhvalov Mesh in the Presence of a Boundary Layer

Computational Mathematics and Mathematical Physics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zadorin, A. I., Zadorin, N. A.
openaire   +1 more source

Newton’s divided gH-difference interpolation formula with unequal spacing for interval-valued function using Hukuhara difference

Asian-European Journal of Mathematics, 2021
Interval interpolation formulae play a significant role to find the value of an unknown function at some points under interval uncertainty. The objective of this paper is to establish Newton’s divided interpolation formula for interval-valued functions using generalized Hukuhara difference of intervals.
Mondal, Bapin, Rahman, Md. Sadikur
openaire   +2 more sources

Newton's Interpolation Formulas. An unpublished Manuscript of Sir Isaac Newton

Journal of the Institute of Actuaries, 1927
The mortality of Europeans in West Africa has on several occasions been the subject of discussion in this Institute or of note in the pages of the Journal. In 1886 Dr. T. B. Sprague read a paper on the mortality of Europeans in the Congo, based on the statistics from Stanley's work on the Pounding of the Free State: In 1892 Dr. T. G. Lyon contributed a
openaire   +1 more source

Lagrange interpolation and Newton-Cotes formulas for functions with boundary layer components on piecewise-uniform grids

Numerical Analysis and Applications, 2015
Summary: The problem of interpolation of a one-variable function considered as a solution to a boundary value problem for an equation with a small parameter \(\varepsilon\) in the highest derivative is investigated. The application of a Lagrange polynomial for such a function on a uniform grid may result in serious errors.
openaire   +2 more sources

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