Results 31 to 40 of about 1,527,957 (300)

Convexity, Markov Operators, Approximation, and Related Optimization

open access: yesMathematics, 2022
The present review paper provides recent results on convexity and its applications to the constrained extension of linear operators, motivated by the existence of subgradients of continuous convex operators, the Markov moment problem and related Markov ...
Octav Olteanu
doaj   +1 more source

A Galerkin Method-Based Polynomial Approximation for Parametric Problems in Power System Transient Analysis

open access: yesIEEE Transactions on Power Systems, 2019
Parametric problems in the transient analysis refer to the investigations of the relationship between parameters and dynamic behavior. To solve parametric problems, we propose a Galerkin method-based polynomial approximation.
Bingqing Xia   +4 more
semanticscholar   +1 more source

Optimal Approximation of Biquartic Polynomials by Bicubic Splines

open access: yesEPJ Web of Conferences, 2018
Recently an unexpected approximation property between polynomials of degree three and four was revealed within the framework of two-part approximation models in 2-norm, Chebyshev norm and Holladay seminorm.
Kačala Viliam, Török Csaba
doaj   +1 more source

The evaluation of the order of approximation of the matrix method for numerical integration of the boundary value problems for systems of linear non-homogeneous ordinary differential equations of the second order with variable coefficients. Message 2. Boundary value problems with boundary conditions of the second and third kind

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017
We present the second message of the cycle from two articles where the rearrangement of the order of approximation of the matrix method of numerical integration depending on the degree in the Taylor’s polynomial expansion of solutions of boundary value ...
Vladimir N Maklakov
doaj   +1 more source

An Efficient Method for Solving [PDF]

open access: yesKirkuk Journal of Science, 2008
This paper presents a new method for solving fractional partial differential equations (FPDE) which is called the polynomial approximation method based on the polynomial approximation uN(x,t) and on its general fractional derivative formula.By modifying ...
Omar M. Al-Faour
doaj   +1 more source

Parametric Problems in Power System Analysis: Recent Applications of Polynomial Approximation Based on Galerkin Method

open access: yesJournal of Modern Power Systems and Clean Energy, 2021
In power systems, there are many uncertainty factors such as power outputs of distributed generations and fluctuations of loads. It is very beneficial to power system analysis to acquire an explicit function describing the relationship between these ...
Hao Wu   +5 more
doaj   +1 more source

Minimax polynomial approximation [PDF]

open access: yesMathematics of Computation, 1966
Some new methods for obtaining the minimax polynomial approximation of degree n n to a continuous function are introduced ...
openaire   +1 more source

Numerical integration by the matrix method and evaluation of the approximation order of difference boundary value problems for non-homogeneous linear ordinary differential equations of the fourth order with variable coefficients

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2020
The use of the second degree Taylor polynomial in approximation of derivatives by finite difference method leads to the second order approximation of the traditional grid method for numerical integration of boundary value problems for non-homogeneous ...
Vladimir Nikolaevich Maklakov   +1 more
doaj   +1 more source

Multivariate polynomial approximation in the hypercube [PDF]

open access: yes, 2016
A theorem is proved concerning approximation of analytic functions by multivariate polynomials in the $s$-dimensional hypercube. The geometric convergence rate is determined not by the usual notion of degree of a multivariate polynomial, but by the {\it ...
L. Trefethen
semanticscholar   +1 more source

On a polynomial approximation problem

open access: yesJournal of Approximation Theory, 2010
AbstractLet F be a closed subset of the unit circle T and let f∈C(F). We investigate the problem of uniform approximation of f on F by polynomials Pn which are uniformly bounded on the unit disk Δ. In a particular case when F is a closed arc of T, the problem was solved by L. Zalcman in 1982, who has also pointed out the possibility of considering more
Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620, USA ( host institution )   +1 more
openaire   +2 more sources

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