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We consider in this paper a mathematical and numerical model to design an industrial software solution able to handle real complex furnaces configurations in terms of geometries, atmospheres, parts positioning, heat generators and physical thermal phenomena. A three dimensional algorithm based on stabilized finite element methods (SFEM) for solving the momentum, energy, turbulence and radiation equations is presented. An immersed volume method (IVM) for thermal coupling of fluids and solids is introduced...

517.53

Е.М. Никишин (1980)

Matematiceskij sbornik

«Approximate approximations» and the cubature of potentials

Gunther Schmidt (1995)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

The paper discusses new cubature formulas for classical integral operators of mathematical physics based on the «approximate approximation» of the density with Gaussian and related functions. We derive formulas for the cubature of harmonic, elastic and diffraction potentials approximating with high order in some range relevant for numerical computations. We prove error estimates and provide numerical results for the Newton potential.

[unknown]

(1970)

Numerische Mathematik

[unknown]

G. Kyriazis (1998)

Studia Mathematica

We study smoothness spaces generated by maximal functions related to the local approximation errors of integral operators. It turns out that in certain cases these smoothness classes coincide with the spaces $C_{p}^{α} (ℝ^{d})$ , 0 < p≤∞, introduced by DeVore and Sharpley [DS] by means of the so-called sharp maximal functions of Calderón and Scott. As an application we characterize the $C_{p}^{α} (ℝ^{d})$ spaces in terms of the coefficients of wavelet decompositions.

$ε$ -approximation and fixed points of nonexpansive mappings in metric spaces

T. D. Narang, Sumit Chandok (2009)

Matematički Vesnik

$ε$ -approximation in generalized 2-normed spaces

Mehmet Açikgöz (2009)

Matematički Vesnik

$ε$ -энтропия компактов в $C$ и табулирование непрерывных функций.

В.Н. Потапов (1997)

Sibirskij matematiceskij zurnal

ε-Entropy and moduli of smoothness in $L^{p}$ -spaces

A. Kamont (1992)

Studia Mathematica

The asymptotic behaviour of ε-entropy of classes of Lipschitz functions in $L^{p} (^{d})$ is obtained. Moreover, the asymptotics of ε-entropy of classes of Lipschitz functions in $L^{p} (ℝ^{d})$ whose tail function decreases as $O (λ^{- γ})$ is obtained. In case p = 1 the relation between the ε-entropy of a given class of probability densities on $ℝ^{d}$ and the minimax risk for that class is discussed.

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$ℂ$ -convexity in infinite-dimensional Banach spaces and applications to Kergin interpolation.

$ℒ$ -fuzzy nonlinear approximation theory with application.

...- Invarianten bei verallgemeinerten Carlesonmengen.

$𝒪$ -regularly varying functions in approximation theory.

$2$ -nsr lemma and quotient space in $2$ -normed space

3D monolithic finite element approach for aero-thermics processes in industrial furnaces⋆

517.53

«Approximate approximations» and the cubature of potentials

[unknown]

[unknown]

$ε$ -approximation and fixed points of nonexpansive mappings in metric spaces

$ε$ -approximation in generalized 2-normed spaces

$ε$ -энтропия компактов в $C$ и табулирование непрерывных функций.

ε-Entropy and moduli of smoothness in $L^{p}$ -spaces

Алгоритм Якоби-Перрона и совместное приближение функций

Аппроксимативные свойства одного континуума

Аппроксимативные свойства подпространств конечной размерности в пространстве $L_{1}$

Аппроксимативные свойства суммируемых функций на множествах полной меры

Аппроксимации отображений в группу.

Аппроксимационная характеристика классов функций на континуумах комплексной плоскости

Currently displaying 1 – 20 of 289