Results 11 to 20 of about 162,162 (276)

Tricubic Polynomial Interpolation [PDF]

open access: yesProceedings of the National Academy of Sciences, 1971
A new triangular “finite element“ is described; it involves the 12-parameter family of all quartic polynomial functions that are “tricubic“ in that their variation is cubic along any parallel to any side of the triangle. An interpolation scheme is described that approximates quite accurately any smooth function on any triangulated domain by a ...
openaire   +2 more sources

Lebesgue functions and Lebesgue constants in polynomial interpolation

open access: yesJournal of Inequalities and Applications, 2016
The Lebesgue constant is a valuable numerical instrument for linear interpolation because it provides a measure of how close the interpolant of a function is to the best polynomial approximant of the function.
Bayram Ali Ibrahimoglu
doaj   +1 more source

Complex Interpolating Polynomials [PDF]

open access: yesProceedings of the American Mathematical Society, 1988
Let I n , m ( f , z ) {I_{n,m}}\left ( {f,z} \right ) be the unique interpolatory polynomial of degree ≤ 2 n − 1
openaire   +1 more source

An Investigation on using Lagrange, Newton and Least Square Methods for Generating Nonlinear Interpolation Function for the Measuring Instruments

open access: yesASM Science Journal, 2021
This research is considered the milestone for metrologists to choose the appropriate method for determination of the nonlinear interpolation function for the measuring instruments.
Gouda Mohamed Mahmoud, Shaker Gelany
doaj   +1 more source

Lagrange Multivariate Polynomial Interpolation: A Random Algorithmic Approach

open access: yesJournal of Applied Mathematics, 2022
The problems of polynomial interpolation with several variables present more difficulties than those of one-dimensional interpolation. The first problem is to study the regularity of the interpolation schemes.
A. Essanhaji, M. Errachid
doaj   +1 more source

Comparative study of interpolation methods for mapping soil pH in the apple orchards of Murree, Pakistan

open access: yesSoil & Environment, 2017
Soil pH is considered as a core indicator for nutrient bioavailability. Prevailing alkaline pH due to calcareousness in Pakistan is considered as one of the limiting factor for nutrient availability to plants.
Humair Ahmed   +3 more
doaj   +1 more source

Trajectory Planning in Joint Space for a Pointing Mechanism Based on a Novel Hybrid Interpolation Algorithm and NSGA-II Algorithm

open access: yesIEEE Access, 2020
In order to improve the motion stability of a pointing mechanism, the trajectory planning and trajectory optimization were conducted. To obtain better motion stability, the jerk is required continuous.
Jing Sun   +5 more
doaj   +1 more source

About a non-standard interpolation problem [PDF]

open access: yes, 2017
Using algebraic methods, and motivated by the one variable case, we study a multipoint interpolation problem in the setting of several complex variables.
Alpay, Daniel, Yger, Alain
core   +5 more sources

Inherited Fuzzy Interpolation Based on the Inherited Lower-upper Factorization

open access: yesFuzzy Information and Engineering, 2014
In this paper, a new scheme is proposed to find the fuzzy interpolation polynomial. In this case, the nodes are crisp data and the values are fuzzy numbers.
M.A. Fariborzi Araghi, A. Fallahzadeh
doaj   +1 more source

Linear Barycentric Rational Method for Solving Schrodinger Equation

open access: yesJournal of Mathematics, 2021
A linear barycentric rational collocation method (LBRCM) for solving Schrodinger equation (SDE) is proposed. According to the barycentric interpolation method (BIM) of rational polynomial and Chebyshev polynomial, the matrix form of the collocation ...
Peichen Zhao, Yongling Cheng
doaj   +1 more source

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