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Thermodynamically Constrained Averaging Theory: Principles, Model Hierarchies, and Deviation Kinetic Energy Extensions [PDF]
Entropy, 2018 The thermodynamically constrained averaging theory (TCAT) is a comprehensive theory used to formulate hierarchies of multiphase, multiscale models that are closed based upon the second law of thermodynamics.
Cass T. Miller +2 more
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Thermodynamically Constrained Averaging Theory: Why Bother? [PDF]
ARC Geophysical ResearchPorous medium researchers and practitioners usually rely on macroscale models to represent systems of concern. While macroscale models have often been formulated phenomenologically, the thermodynamically constrained averaging theory (TCAT) provides a ...
Timothy M. Weigand +2 more
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Sovereign Risk Indices and Bayesian Theory Averaging [PDF]
Econometrics, 2020 In economic applications, model averaging has found principal use in examining the validity of various theories related to observed heterogeneity in outcomes such as growth, development, and trade.
Alex Lenkoski, Fredrik L. Aanes
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Extreme Value Theory for Moving Average Processes [PDF]
The Annals of Probability, 1986 This is an interesting qualitative and quantitative study of extreme values of moving averages of variables with smooth tails. Let \(\{X_ t=\sum c_{\lambda -t}Z_{\lambda}\}\) be an infinite moving average process, with \(\{c_{\lambda}\}\) given constants and with the noise sequence \(\{Z_{\lambda}\}\) consisting of i.i.d. random variables.
Holger Rootzén
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Averaging Theory for Description of Environmental Problems: What Have We Learned? [PDF]
Adv Water Resour, 2013 Gray WG, Miller CT, Schrefler BA.
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Higher order stroboscopic averaged functions: a general relationship with Melnikov functions
Electronic Journal of Qualitative Theory of Differential Equations, 2021 In the research literature, one can find distinct notions for higher order averaged functions of regularly perturbed non-autonomous $T$-periodic differential equations of the kind $x'=\varepsilon F(t,x,\varepsilon)$.
Douglas Novaes
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On the Periodic Solutions for the Perturbed Spatial Quantized Hill Problem
Mathematics, 2022 In this work, we investigated the differences and similarities among some perturbation approaches, such as the classical perturbation theory, Poincaré–Lindstedt technique, multiple scales method, the KB averaging method, and averaging theory.
Elbaz I. Abouelmagd +4 more
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The Proximal Average: Basic Theory [PDF]
SIAM Journal on Optimization, 2008 The notion of proximal average of two convex functions introduced by \textit{H. H. Bauschke, E. Matoušková} and \textit{S. Reich} [Nonlinear Anal., Theory Methods Appl. 56A, No. 5, 715--738 (2004; Zbl 1059.47060)] is extended to finitely many convex functions on a real Hilbert space.
Bauschke, Heinz H. +3 more
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Aperture averaging: theory and measurements [PDF]
SPIE Proceedings, 2004 Atmospheric laser communications using direct-detection systems do suffer from severe degradation caused by scintillation. Because the atmospheric cut-off frequency can be as low as 100 Hz, temporal averaging is not applicable in high-speed communications.
Perlot, Nicolas, Fritzsche, Daniel
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Periodic solutions of some polynomial differential systems in dimension 5 via averaging theory
Nonautonomous Dynamical Systems, 2023 In this article, we provide sufficient conditions for the existence of periodic solutions for the polynomial differential system of the form x˙=−y+εP1(x,y,z,u,v)+h1(t),y˙=x+εP2(x,y,z,u,v)+h2(t),z˙=−u+εP3(x,y,z,u,v)+h3(t),u˙=z+εP4(x,y,z,u,v)+h4(t),v˙=λv ...
Tabet Achref Eddine, Makhlouf Amar
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