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On the convergence of Z-averaged perturbation theory
The Journal of Chemical Physics, 2008Very high order open-shell Z-averaged perturbation theory (ZAPT) energies, equilibrium bond lengths, and harmonic vibrational frequencies have been computed for a suite of small molecules using a determinantal algorithm. The convergence of ZAPTn energies is compared to alternative Møller–Plesset (MP) perturbation theories built on restricted open-shell
Steven E, Wheeler +2 more
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1976
The purpose of this paper is to present a number of recently obtained results in averaging, both in theory and in applications, and to show at the same time what kind of pitfalls there are in applying the theory to problems in dynamics.
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The purpose of this paper is to present a number of recently obtained results in averaging, both in theory and in applications, and to show at the same time what kind of pitfalls there are in applying the theory to problems in dynamics.
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Resonances in Multifrequency Averaging Theory
1994The Whitham method allows to obtain rapidly oscillating asymptotic solutions of nonlinear equations with a small parameter e which characterizes the dispersion. The principal term of such asymptotic solutions can be represented in the form $$ u = f\left( {\frac{{S\left( {x,t} \right)}}{\varepsilon },x,t} \right)$$ (1.1) , where f (τ, x, t ...
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Analyticity, Uniform Averaging and K-Theory
1994Let (A, R, α) be a C*-dynamical systerr, let H∞(α) be the subalgebra of A consisting of those a in A such that the Arveson spectrum of a is contained in [0, ∞), and let Aα be the fixed point subalgebra of A. In this note we investigate conditions for the existence of an R-invariant conditional expectation from A onto Aα and we show that when such an ...
Paul S. Muhly, Chaoxin Qiu, Jingbo Xia
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Elements of Thermodynamically Constrained Averaging Theory
2014Mechanistic computational modeling of environmental systems presupposes the existence of a properly posed set of equations that adequately describes the underlying physical, chemical, and biological processes at time and length scales consistent with the problem being addressed.
William G. Gray, Cass T. Miller
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Fourier interpretation of multiphase averaging theory
Advances in Water Resources, 1984Abstract There has been considerable interest over the last two decades in developing averaging methods to change the scales of motion in multiphase transport theory. More recently, these averaging methods have been related to instrumentation windows. In this article we relate the averaging theory to impulse-response filters.
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Dollar Averaging in Theory and Practice
Financial Analysts Journal, 1960(1960). Dollar Averaging in Theory and Practice. Financial Analysts Journal: Vol. 16, No. 5, pp. 51-53.
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Spherically and system-averaged pair density functional theory
The Journal of Chemical Physics, 2006In a couple of recent papers Gori-Giorgi and Savin [Phys. Rev. A 71, 032513 (2005)] proposed a theory that provides simple radial equations to generate the spherically and system averaged pair density. In a recent density matrix functional theory [Á. Nagy, Phys. Rev.
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Theory of synchronous averaging
2004 IEEE Aerospace Conference Proceedings (IEEE Cat. No.04TH8720), 2004D. Hochmann, M. Sadok
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Numerical solution of cell problems in averaging theory
USSR Computational Mathematics and Mathematical Physics, 1988Cell problems of averaging theory occur in course of asymptotic investigation of partial differential equations with rapidly oscillation coefficients. The author applies a difference method for the solution of cell problems for a set of partial differential equations, the coefficients of which are periodic functions with rapid oscillations. That set of
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