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Averaging method of granular materials

Physical Review E, 2002
This paper presents an averaging method to link discrete to continuum variables of granular materials. Compared to the other methods proposed in the literature, it has advantages of being applicable to all flow regimes, and to granular flows with or without the effect of physical boundaries.
H P, Zhu, A B, Yu
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Various Methods of Averaging

2006
The design of engineering systems and the ability to predict their performance depend on the availability of experimental data and conceptual models that can be used to describe a physical process with a required degree of accuracy. From both a scientific and a practical point of view, it is essential that the various characteristics and properties of ...
Mamoru Ishii, Takashi Hibiki
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Simulation of Decoherence by Averaged Semiquantum Method

Communications in Computational Physics, 2010
Summary: We investigate the dynamics of a system coupled to an environment by averaged semiquantum method. The theory origins from the time-dependent variational principle (TDVP) formulation and contains nondiagonal matrix elements, thus it can be applied to study dissipation, measurement and decoherence problems in the model.
Wang, Zhuo, Jie, Quanlin, Zhang, Shi-Hui
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The “Average of Normals” Method of Quality Control

American Journal of Clinical Pathology, 1965
A new method of laboratory quality control is described in this paper which is simple, sensitive, and requires only a little clerical work for its use. It is based on the use of certain patients' specimens, but it is practical for small laboratories because few tests are needed.
R G, HOFFMANN, M E, WAID
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Comparison of four methods of averaging nerve activity

American Journal of Physiology-Regulatory, Integrative and Comparative Physiology, 1986
Four methods of averaging nerve activity, moving time average (Analog), integration (Integrated), counting spikes (Spikes), and counting pulses from a voltage-to-frequency converter (VFC), were used to analyze artificial pulse trains and renal, carotid sinus, and vagal nerve activities.
F A, Hopp, J L, Seagard, J P, Kampine
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Equivalence of the Melnikov Function Method and the Averaging Method

Qualitative Theory of Dynamical Systems, 2015
In this paper, the authors study the problem of equivalence between the Melnikov method and the averaging method for studying the number of limit cycles which can bifurcate from the period annulus of planar analytic differential systems.
Maoan Han   +2 more
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Stability of Equilibria. Averaging Method

1998
The averaging method is the principal one for stability studies in this book. It is extensively applied in chapters 3, 4, 9 and 10. In this section we describe the history and the main idea of the method. Note that not all the results obtained with the help of the averaging method are covered by this monograph.
Arkadii Kh. Gelig, Alexander N. Churilov
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Method of Averaging

2003
Consider a weakly nonlinear oscillation problem $$ \ddot{x} + \varepsilon h(x,\dot{x}) + x = 0,{\text{ }}\varepsilon {\text{ < < 1}}{\text{.}} $$ (4.1.1)
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Methods of Averaging

1993
Regular perturbation methods are based on Taylor’s formula and on implicit function theorems. However, there are many problems to which Taylor’s formula cannot be applied directly, in which case perturbation methods based on multiple time or space scales can often be used, sometimes even for chaotic systems.
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