Results 11 to 20 of about 585,866 (265)
Crewther's Relation in Different Schemes
We examine Crewther's relation at high loop order in perturbative QCD and demonstrate how the relation is accommodated in gauge-parameter dependent schemes where the running of the gauge parameter has to be explicitly considered. Motivated by ensuring that the conformal properties of the relation are preserved at all the critical points of QCD ...
Mason, R. H., Gracey, J. A.
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Stable difference scheme for a nonlocal boundary value heat conduction problem [PDF]
In this paper, a new finite difference method to solve nonlocal boundary value problems for the heat equation is proposed. The most important feature of these problems is the non-self-adjointness.
Makhmud A. Sadybekov
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Construction of quaternary quantum error-correcting codes via orthogonal arrays
This paper presents a method based on orthogonal arrays of constructing pure quaternary quantum error-correcting codes. As an application of the method, some infinite classes of quantum error-correcting codes with distances 2, 3, and 4 can be obtained ...
Shanqi Pang +6 more
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On conjugate difference schemes: the midpoint scheme and the trapezoidal scheme
The preservation of quadratic integrals on approximate solutions of autonomous systems of ordinary differential equations x=f(x), found by the trapezoidal scheme, is investigated. For this purpose, a relation has been established between the trapezoidal scheme and the midpoint scheme, which preserves all quadratic integrals of motion by virtue of ...
Ying Yu, Malykh M.D.
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With the development of computer technology and progress in the field of modeling physical and chemical processes, methods of increasing the accuracy, as well as simplifying the algorithms and methods for calculating mathematical models, become ...
Микола Нестеренко +2 more
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In modeling various real processes, an important role is played by methods of solution source identification problem for partial differential equation.
C. Ashyralyyev, A. Cay
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The second-order accuracy difference schemes for integral-type time-nonlocal parabolic problems
This is a discussion on the second-order accuracy difference schemes for approximate solution of the integral-type time-nonlocal parabolic problems. The theorems on the stability of r-modified Crank-Nicolson difference schemes and second-order accuracy ...
Allaberen Ashyralyev +1 more
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Mathematical modeling of the energy consumption problem
The importance of energy-saving and correct design is obvious for energy efficiency. Correct design means that before construction considerable things, such as orientation or isolation decisions, need to be made. This study gives a mathematical model of
A. Ashyralyev +2 more
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THE STATE OF THE PROBLEM OF THE JOINT MOVEMENT OF FLUID IN THE PORE SPACE
This article discusses the problems of studying the issue of joint motion of liquids in the porous space. The article provides the construction of a mathematical model of the theory of ltration, which describes phase transitions.
A. A. Mussina +2 more
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We present finite difference schemes for Burgers equation and Burgers-Fisher equation. A new version of exact finite difference scheme for Burgers equation and Burgers-Fisher equation is proposed using the solitary wave solution.
Lei Zhang, Lisha Wang, Xiaohua Ding
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