Results 21 to 30 of about 44,196 (310)

Convergence of approximating polynomials [PDF]

open access: yesProceedings of the 1961 16th ACM national meeting on -, 1961
I. The problem we wish to consider is the following. For each positive integer n, let En be a finite subset of [−1,1] containing at least n points. N For a real valued continuous function f defined on [−1,1] let pn (f, En) be the unique polynomial of degree at most n−1 of best approximation in the Chebycheff sense to f on En. Is it possible to choose a
openaire   +2 more sources

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

Hardness of approximation for orthogonal rectangle packing and covering problems [PDF]

open access: yes, 2009
Bansal and Sviridenko [N. Bansal, M. Sviridenko, New approximability and inapproximability results for 2-dimensional bin packing, in: Proceedings of the 15th Annual ACM–SIAM Symposium on Discrete Algorithms, SODA, 2004, pp.
Chlebikova, Janka   +4 more
core   +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

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

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 1. Boundary value problems with boundary conditions of the first kind

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016
We present the first 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

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

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

Sparse deterministic approximation of Bayesian inverse problems [PDF]

open access: yes, 2011
We present a parametric deterministic formulation of Bayesian inverse problems with an input parameter from infinite-dimensional, separable Banach spaces.
A M Stuart   +5 more
core   +1 more source

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