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A numerical scheme for advection dominated problems based on a Lagrange interpolation

, 2021
Applying conventional numerical techniques for solving advection dominated problems, especially in the presence of sharp gradients, produces inaccurate results. This paper presents a robust numerical scheme for approximating the advection equation.
H. Ahmadi
semanticscholar   +1 more source

A Modification of Lagrange Interpolation

Acta Mathematica Hungarica, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xie, T., Zhou, X.
openaire   +1 more source

Investigation of entropy generation in a square inclined cavity using control volume finite element method with aided quadratic Lagrange interpolation functions

International Communications in Heat and Mass Transfer, 2020
One of the most concerned subjective in Mechanical science is natural convection study in a cavity. Furthermore, the investigation of entropy generation can be useful for better designing of the thermal systems.
S. M. Seyyedi   +4 more
semanticscholar   +1 more source

Boolesche zweidimensionale Lagrange-Interpolation

Computing, 1979
Die vorliegende Arbeit liefert eine systematische Anwendung der von Gordon [4], [5] entwickelten Methode der Booleschen Approximation von Funktionen mehrerer Veranderlicher in der zweidimensionalen Lagrange-Interpolation. Es werden Interpolationsmethoden untersucht, deren Interpolationsprojektoren sich als K-fache (K ∈ ℕ) Boolesche Summe von ...
Franz-Jürgen Delvos, Horst Posdorf
openaire   +1 more source

A Kind of Lagrange Interpolation on the Sphere

2009 WRI World Congress on Computer Science and Information Engineering, 2009
In this paper we deeply research Lagrange interpolation on the unit sphere. First we study the Lagrange interpolation problem along a set of latitudes on the sphere and give three kinds of properly posed sets of nodes along it. Then we get a class of properly posed set of nodes for Lagrange interpolation on the unit sphere by superposition ...
Xue-Zhang Liang, Ming Zhang
openaire   +2 more sources

Neural network interpolation operators optimized by Lagrange polynomial

Neural Networks, 2022
In this paper, we introduce a new type of interpolation operators by using Lagrange polynomials of degree r, which can be regarded as feedforward neural networks with four layers.
Guo-Shun Wang, Dan-Sheng Yu, P. Zhou
semanticscholar   +1 more source

New Results on Lagrange Interpolation

1992
Uniform convergence of Lagrange interpolation at zeros of Jacobi polynomials or at the zeros of product Jacobi polynomials, as well as at the zeros of generalized smooth Jacobi polynomials is investigated. We show that by a simple procedure it is always possible to transform the matrices of these zeros into matrices such that the corresponding Lagrange
CRISCUOLO, GIULIANA, G. MASTROIANNI
openaire   +3 more sources

Adaptive differential evolution with a Lagrange interpolation argument algorithm

Information Sciences, 2019
Differential evolution (DE) is a simple yet powerful evolutionary algorithm that has been used to solve various complex optimization problems in numerous engineering fields.
Qiu-Jun Huang   +4 more
semanticscholar   +1 more source

A steady barycentric Lagrange interpolation method for the 2D higher‐order time‐fractional telegraph equation with nonlocal boundary condition with error analysis

Numerical Methods for Partial Differential Equations, 2019
In this paper, we consider the numerical solution of the time‐fractional telegraph equation with a nonlocal boundary condition. A novel barycentric Lagrange interpolation collocation method is developed to solve this equation.
Shi-Chao Yi, L. Yao
semanticscholar   +1 more source

Hybrid Lagrange interpolation differential evolution algorithm for path synthesis

Mechanism and Machine Theory, 2019
A hybrid Lagrange interpolation differential evolution algorithm (HLIDE) is proposed in this study for path synthesis of four-bar mechanisms. HLIDE combines two algorithms of differential evolution (DE) with Lagrange interpolation local search (LILS ...
Kai Zhang   +4 more
semanticscholar   +1 more source

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