Results 11 to 20 of about 2,178,860 (334)
Improved first order mean spherical approximation for simple fluids [PDF]
A perturbation approach based on the first-order mean spherical approximation (FMSA) is proposed. It consists in adopting a hard-sphere plus short-range attractive Yukawa fluid as the novel reference system, over which the perturbative solution of the ...
I. Nezbeda, A. Trokhymchuk, S. Hlushak
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On a subclass of C1 functions for which the Lagrange interpolation yields the Jackson order of approximation [PDF]
We continue the investigation initiated by Mastroianni and Szabados on question whether Jackson's order of approximation can be attained by Lagrange interpolation for a wide class of functions.
Xin Li
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Saddle point approximation to Higher order [PDF]
Introduction/purpose: Saddle point approximation has been considered in the paper Methods: The saddle point method is used in several different fields of mathematics and physics.
Nicola Fabiano, Nikola Mirkov
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Body-Ordered Approximations of Atomic Properties [PDF]
AbstractWe show that the local density of states (LDOS) of a wide class of tight-binding models has a weak body-order expansion. Specifically, we prove that the resulting body-order expansion for analytic observables such as the electron density or the energy has an exponential rate of convergence both at finite Fermi-temperature as well as for ...
Jack Thomas +2 more
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Two 1D nonlinear coupled Schrödinger equations are often used for describing optical frequency conversion possessing a few conservation laws (invariants), for example, the energy’s invariant and the Hamiltonian.
Vyacheslav Trofimov, Maria Loginova
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In this paper, we propose a family of non-stationary combined ternary (2m+3)\left(2m+3)-point subdivision schemes, which possesses the property of generating/reproducing high-order exponential polynomials.
Zhang Zeze, Zheng Hongchan, Pan Lulu
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The paper considers the previously proposed method of numerical integration using the matrix calculus in the study of boundary value problems for nonhomogeneous linear ordinary differential equations of the second order with variable coefficients ...
Vladimir N. Maklakov
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Approximate deconvolution reduced order modeling [PDF]
This paper proposes a large eddy simulation reduced order model(LES-ROM) framework for the numerical simulation of realistic flows. In this LES-ROM framework, the proper orthogonal decomposition(POD) is used to define the ROM basis and a POD differential filter is used to define the large ROM structures.
Xie, X. +3 more
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The paper includes the well-known matrix method of numerical integration of boundary value problems for inhomogeneous linear ordinary differential equations with variable coefficients, which provides retaining an arbitrary number of Taylor series ...
Vladimir Nikolaevich Maklakov
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Consistent Approximation of Fractional Order Operators [PDF]
Abstract Fractional order controllers become increasingly popular due to their versatility and superiority in various performances. However, the bottleneck in deploying these tools in practice is related to their analog or numerical implementation.
Wei, Yiheng +3 more
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