Modeling consensus emergence in groups using longitudinal multilevel methods

2018 ◽  
Vol 71 (2) ◽  
pp. 255-281 ◽  
Author(s):  
Jonas W. B. Lang ◽  
Paul D. Bliese ◽  
Alex de Voogt
Keyword(s):  
Multilevel Methods

Preface to the special issue, CMAM 2011, no. 3.

2011 ◽  
Vol 11 (3) ◽  
pp. 272
Author(s):  
Ivan Gavrilyuk ◽  
Boris Khoromskij ◽  
Eugene Tyrtyshnikov
Keyword(s):  
Separation Of Variables ◽  
Numerical Algorithms ◽  
Multilevel Methods ◽  
High Dimensional ◽  
Special Issue ◽  
High Dimensions ◽  
Guiding Principle ◽  
Tensor Methods ◽  
Closed World ◽  
The One

Abstract In the recent years, multidimensional numerical simulations with tensor-structured data formats have been recognized as the basic concept for breaking the "curse of dimensionality". Modern applications of tensor methods include the challenging high-dimensional problems of material sciences, bio-science, stochastic modeling, signal processing, machine learning, and data mining, financial mathematics, etc. The guiding principle of the tensor methods is an approximation of multivariate functions and operators with some separation of variables to keep the computational process in a low parametric tensor-structured manifold. Tensors structures had been wildly used as models of data and discussed in the contexts of differential geometry, mechanics, algebraic geometry, data analysis etc. before tensor methods recently have penetrated into numerical computations. On the one hand, the existing tensor representation formats remained to be of a limited use in many high-dimensional problems because of lack of sufficiently reliable and fast software. On the other hand, for moderate dimensional problems (e.g. in "ab-initio" quantum chemistry) as well as for selected model problems of very high dimensions, the application of traditional canonical and Tucker formats in combination with the ideas of multilevel methods has led to the new efficient algorithms. The recent progress in tensor numerical methods is achieved with new representation formats now known as "tensor-train representations" and "hierarchical Tucker representations". Note that the formats themselves could have been picked up earlier in the literature on the modeling of quantum systems. Until 2009 they lived in a closed world of those quantum theory publications and never trespassed the territory of numerical analysis. The tremendous progress during the very recent years shows the new tensor tools in various applications and in the development of these tools and study of their approximation and algebraic properties. This special issue treats tensors as a base for efficient numerical algorithms in various modern applications and with special emphases on the new representation formats.

Rough Air-Soft Elastohydrodynamic Lubrication

2013 ◽  
Vol 420 ◽  
pp. 30-35
Author(s):  
Khanittha Wongseedakaew ◽  
Jesda Panichakorn
Keyword(s):  
Surface Roughness ◽  
Film Thickness ◽  
Modulus Of Elasticity ◽  
Contact Region ◽  
Elastohydrodynamic Lubrication ◽  
Multilevel Methods ◽  
Inlet Temperature ◽  
Film Pressure ◽  
Air Inlet ◽  
Air Film

This paper presents the effects of rough surface air-soft elastohydrodynamic lubrication (EHL) of rollers for soft material under the effect of air molecular slip. The time independent modified Reynolds equation and elasticity equation were solved numerically using finite different method, Newton-Raphson method and multigrid multilevel methods were used to obtain the film pressure profiles and film thickness in the contact region. The effects of amplitude of surface roughness, modulus of elasticity and air inlet temperature are examined. The simulation results showed surface roughness has effect on film thickness but it little effect to air film pressure. When the amplitude of surface roughness and modulus of elasticity increased, the air film thickness decreased but air film pressure increased. However, the air inlet temperature increased when the air film thickness increased.

scholarly journals Cascadic multilevel methods for fast nonsymmetric blur- and noise-removal

2010 ◽  
Vol 60 (4) ◽  
pp. 378-396 ◽  
Author(s):  
S. Morigi ◽  
L. Reichel ◽  
F. Sgallari
Keyword(s):  
Noise Removal ◽  
Multilevel Methods

Joint inversion of high-frequency induction and lateral logging sounding data in earth models with tilted principal axes of the electrical resistivity tensor

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Oleg Nechaev ◽  
Viacheslav Glinskikh ◽  
Igor Mikhaylov ◽  
Ilya Moskaev
Keyword(s):  
Electrical Resistivity ◽  
High Frequency ◽  
Joint Inversion ◽  
Finite Element Approximation ◽  
Optimization Method ◽  
Multilevel Methods ◽  
Element Approximation ◽  
Resistivity Tensor ◽  
Principal Axes ◽  
High Frequency Induction

Abstract In this article, we are the first to formulate the direct and inverse problems of resistivity logging on determining the components of the electrical resistivity tensor of rocks from a set of high-frequency induction and lateral logging sounding measurements. Using a finite element approximation, high-order hierarchical basis functions, computationally efficient multilevel methods and a multistart algorithm with the DFO-LS local optimization method, we investigate the capability of reconstructing the horizontal and vertical resistivity components, as well as the tilt of the resistivity tensor principal axes with regard to the study of complex geological objects. A separate consideration is given to a realistic generalized geoelectric model of the unique hydrocarbon source with hard-to-recover reserves, the Bazhenov Formation.

scholarly journals Multilevel Methods

2007 ◽  
Vol 10 (4) ◽  
pp. 551-563 ◽  
Author(s):  
Paul D. Bliese ◽  
David Chan ◽  
Robert E. Ployhart
Keyword(s):  
Multilevel Methods

scholarly journals Pola Pertumbuhan Nannochloropsis oculata Pada Kultur Skala Laboratorium, Intermediet, Dan Massal [Patterns Growth Of Nannochloropsis oculata In Culture Scale Laboratory, Intermediate, And Bulk]

2019 ◽  
Vol 4 (2) ◽  
pp. 123
Author(s):  
Indah Permata Sari, Abdul Manan
Keyword(s):  
Mass Culture ◽  
General Pattern ◽  
Quality Measurement ◽  
Mass Scale ◽  
Nannochloropsis Oculata ◽  
Laboratory Scale ◽  
Multilevel Methods ◽  
Intermediate Scale ◽  
Culture Techniques ◽  
Study Case

Abstract One type of phytoplankton that are used in marine fish hatchery activities namely Nannochloropsis oculata. The purpose of study case is to know patterns growth of N. oculata in culture scale laboratory, intermediate, and bulk. Study was held in Situbondo Brackishwater Aquaculture Center of East Java in January-February 2011. Study case methods used is descriptive method. N. oculata culture techniques performed by multilevel methods, beginning with the isolation of phytoplankton in the media for/liquid, culture in test tubes 10 ml and elenmeyer 50-100 ml, culture on the bottle 100-1000 ml, culture in karboy of 20 liters, intermediate scale culture 100 - 1000 liters and a mass-scale culture with a volume of more than 1000 liters. Laboratory-scale use Walne for fertilizer. Intermediate-scale use of fertilizers FeCl3 1-2 ppm, 10 ppm EDTA, Na2HPO4 10-15 ppm, 100-150 ppm KNO3, and Tracemetals/vitmix 5 ml/m3, mass-scale culture use of fertilizers FeCl3 1 ppm, 5 ppm EDTA, TSP 20 ppm, ZA 40 ppm and 50 ppm urea. Water quality measurement results obtained by laboratory scale temperature is 23 - 25°C, intermediates and mass scale is 30°C, pH in the culture laboratory scale and intermediate is 7.7 to 7.8, mass culture pH is 7.9, salinity laboratory scale 29-30 ppt, intermediates and mass scale 30 ppt. During mass culture of N. oculata showed that the growth pattern in accordance with the general pattern of phytoplankton growth. Mass-scale culture produce 1504 x 104 cells/ml for six days.

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