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7th Scientific-Technical Conference Material Problems in Civil Engineering (MATBUD)

作者： Pavlov, Peter Evlogiev, Daniel Univ Architecture Civil Engn & Geodesy Sofia 1046 Bulgaria

The conducted analytical, numerical and experimental studies for waiving of the elastic-viscous characteristics of elastic ropes are presented in the current report. The analytical studies are related to the creation of a dynamic and mathematical model of a vibrating system, supported by such ropes. The numerical studies refer to the creation of a corresponding program and a simulation model. The experimental activities refer to the modification of an existing dynamic stand for the implementation of an experimental setting, corresponding to the initial dynamic model. Additional numerical activities are carried out in connection with the development of a programming module for receiving, processing and analysis of the results of the experimental studies. By applying of the combined procedure, the data for the resistance of randomly selected group of ropes, at different deformation in them, are received. (C) 2015 The Authors. Published by Elsevier Ltd. This is an open access article under the CC BY-NC-ND license (http://***/lienses/by-nc-nd/4.0). Peer-review under responsibility of organizing committee of the 7th Scientific-Technical Conference Material Problems in Civil Engineering

关键词： elastic ropes dynamic model numerical algorithm experimental set elastic-viscous characteristics

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Computation of Initial Transformation for Implicit Double Step in the Periodic QZ algorithm 23

Computation of Initial Transformation for Implicit Double St...

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23rd International Conference on System Theory, Control and Computing (ICSTCC)

作者： Sima, Vasile Natl Inst Res & Dev Informat Bucharest Romania

ISBN: (纸本)9781728106991

The periodic QZ algorithm (pQZ) is required in many applications, including periodic linear systems, cyclic matrices and matrix pencils, and some structured eigenproblems. The implicit double pQZ step is the essential part of this algorithm, since it determines its convergence rate. The pQZ step acts on a formal matrix product already reduced to the Hessenberg-triangular form. Each pQZ step starts with an initial transformation aimed to make the first column of the identity matrix and of the Wilkinson double-shift polynomial parallel. This transformation is found in an implicit manner, without evaluating the formal matrix product and the polynomial. This paper presents in detail the computation of the initial transformation in the periodic QZ step, and summarizes the benefits obtained using a new such approach for solving skew-Hamiltonian/Hamiltonian eigenproblems. The previous convergence failures are avoided and the number of iterations necessary to converge can be significantly reduced.

关键词： linear multivariable system periodic system numerical algorithm software stability

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Heterogeneity, aggregate uncertainty, and the short-term interest rate

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JOURNAL OF BUSINESS & ECONOMIC STATISTICS 1996年第4期14卷 399-411页

作者： DenHaan, WJ UNIV CALIF SAN DIEGO DEPT ECONLA JOLLACA 92093 USA

This article analyzes the relationship between the short-term interest rate and diversity (i.e., the number of types) in models with heterogeneous agents and incomplete markets. The number of types needed to approximate a continuum varies across examples. In all cases, however, the number of types has little effect on the average interest rate and consumption variability. In these models, the set of state variables is large because the equilibrium law of motion depends on the cross-sectional wealth distribution. The article shows how to solve these models numerically by approximating the distribution using moments or percentiles.

关键词： asset pricing dynamic equilibrium model large set of state variables numerical algorithm

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Outlier Detection, Clustering, and Classification - Methodologically Unified Procedures for Conditional Approach 12th

Outlier Detection, Clustering, and Classification - Methodol...

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12th International Conference on Computational Collective Intelligence (ICCCI)

作者： Kulczycki, Piotr Franus, Krystian Polish Acad Sci Syst Res Inst Warsaw Poland AGH Univ Sci & Technol Fac Phys & Appl Comp Sci Krakow Poland

ISBN: (纸本)9783030630065;9783030630072

The subject of the study are three fundamental procedures of contemporary data analysis: outliers detection, clustering and classification. The issue is considered in a conditional approach - introduction of specific (e.g. current) values to the model allows in practice a significantly precise description of the reality under research. The same methodology has been used for all three above tasks, which considerably facilitates the interpretations, potential modifications and practical applications of the material investigated. Using non-parametric methods frees the procedures under investigation from a distribution in the considered dataset.

关键词： Data analysis Data mining Outliers detection Clustering Classification Conditional approach Distribution free methods numerical algorithm

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Mesh-ray model and method for calculating the laser radiation absorption

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Mathematical Models and Computer Simulations 2016年第4期8卷 382-390页

作者： Tsygvintsev, I.P. Krukovskiy, A. Yu. Gasilov, V.A. Novikov, V.G. Popov, I.V. Keldysh Institute of Applied Mathematics Russian Academy of Sciences Miusskaya pl. 4 Moscow 125047 Russian Federation

The present paper puts forward a mathematical model of laser radiation absorption in a laser target, which combines approximations of geometrical and wave optics and the corresponding numerical algorithm. This model depends on the principles of geometrical optics in the range of weak variation of the plasma refractive index on the scale of the wave length. This enables one to describe the refraction of the radiation. A transition to wave approximation is carried out near the surface of critical density, where the approximation of the geometrical optics is a fortiori inapplicable. For this aim, the plasma medium is approximately represented as a set of plane layers, on which the one-dimensional Helmholtz equation is solved. This makes it possible to construct a simple and relatively accurate method for calculating the absorption and reflection of laser radiation near the critical density surface in order to effectively take into account the dependence of the interaction of radiation with matter on the polarization direction, etc. The proposed model is adapted for implementation in the radiation gas dynamics (RGD) code. A numerical computation subroutine is presented based on the analytical solution of the differential equations corresponding to the optical ray model of the laser radiation energy flux. This solution is obtained under the assumption that the squared gradient of the refractive index is constant in any cell of the mesh. The convergence rates of the proposed algorithms are estimated using the data obtained in the numerical experiments. © 2016, Pleiades Publishing, Ltd.

关键词： computer simulation geometrical optics laser radiation numerical algorithm radiation gas dynamics

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Conditional Parameter Identification with Asymmetrical Losses of Estimation Errors

Conditional Parameter Identification with Asymmetrical Losse...

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4th International Conference on Computational Collective Intelligence - Technologies and Applications (ICCCI)

作者： Kulczycki, Piotr Charytanowicz, Malgorzata Polish Acad Sci Syst Res Inst Ctr Informat Technol Data Anal Methods PL-01447 Warsaw Poland

ISBN: (纸本)9783642346309

In many scientific and practical tasks, the classical concepts for parameter identification are satisfactory and generally applied with success, although many specialized problems necessitate the use of methods created with specifically defined assumptions and conditions. This paper investigates the method of parameter identification for the case where losses resulting from estimation errors can be described in polynomial form with additional asymmetry representing different results of under- and overestimation. Most importantly, the method presented here considers the conditionality of this parameter, which in practice means its significant dependence on other quantities whose values can be obtained metrologically. To solve a problem in this form the Bayes approach was used, allowing a minimum expected value of losses to be achieved. The methodology was based on the nonparametric technique of statistical kernel estimators, which freed the worked out procedure from forms of probability distributions characterizing both the parameter under investigation and conditioning quantities. As a result, a ready to direct use algorithm has been presented here.

关键词： parameter identification Bayes approach asymmetrical losses of estimation errors conditional factors nonparametric estimation statistical kernel estimators numerical algorithm

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ADVANCED KINEMATIC SCHEME OF STRUCTURAL CALCULATION OF THIN MULTILAYER LAMINATE WITH ESSENTIALLY DIVERSE LAYER'S STIFFNESS

ADVANCED KINEMATIC SCHEME OF STRUCTURAL CALCULATION OF THIN ...

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ASME International Mechanical Engineering Congress and Exposition (IMECE)

作者： Gaynutdinov, V. G. Kazan State Tech Univ AN Tupolev Dept Aircraft Design Kazan Russia

ISBN: (纸本)9780791854877

Composite structure consists of a system of layers bonded together. The layers can have different mechanical properties and thicknesses. The main task is to predict the behavior of a laminate as a system of layers with given properties. We suggest advanced kinematic scheme for structural calculation and heuristic numerical algorithm of prediction behavior of a multilayer structures with essentially diverse layer's stiffness. Kinematic scheme can be compared in adequacy with three-dimensional approach of structural calculation of thin multilayer laminate, but is more economical in view of required resource for numerical calculation.

关键词： thin multilayer structure advanced kinematic scheme numerical algorithm structural calculation

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Solving schemes for computational magneto-aerodynamics

Solving schemes for computational magneto-aerodynamics

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Workshop on Advances and Challenges in Time-Integration of PDEs

作者： Shang, JS Wright State Univ Dayton OH 45435 USA

The electromagnetic force introduces a new physics dimension for enhancing aerodynamic performance of aerospace vehicles. In order to simulate interdisciplinary phenomena, the Navier-Stokes and Maxwell equations in the time domain must be integrated on a common frame of reference. For a wide range of applications from subsonic unmanned vehicles to hypersonic flight control, the resultant nonlinear partial differential equations offer a formidable challenge for numerical analysis. The experience and physical insight using the approximate Riemann and compact-differencing formulation as well as several temporal discritizations will be shared. The most recent development and advancement in numerical procedures for solving this system of governing equations are delineated.

关键词： numerical algorithm computational magneto-aerodynamics

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Weighted Monte Carlo method for an approximate solution of the nonlinear coagulation equation

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Computational Mathematics and Mathematical Physics 2006年第4期46卷 680-690页

作者： Mikhailov, G.A. Rogazinsky, S.V. Ureva, N.M. Institute of Computational Mathematics and Mathematical Geophysics Siberian Division Russian Academy of Sciences Novosibirsk 630090 pr. Akademika Lavrent'eva 6 Russian Federation

New weighted modifications of direct statistical simulation methods designed for the approximate solution of the nonlinear Smoluchowski equation are developed on the basis of stratification of the interaction distribution in a multiparticle system according to the index of a pair of interacting particles. The weighted algorithms are validated for a model problem with a known solution. It is shown that they effectively estimate variations in the functionals with varying parameters, in particular, with the initial number N ₀ of particles in the simulating ensemble. The computations performed for the problem with a known solution confirm the semiheuristic hypothesis that the model error is O(N ₀ ^-1 ). Estimates are derived for the derivatives of the approximate solution with respect to the coagulation coefficient. © MAIK "Nauka/Interperiodica" (Russia), 2006.

关键词： Monte Carlo method numerical algorithm Smoluchowski equation

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Gaussian Two-way Relay Channel with Arbitrary Inputs

Gaussian Two-way Relay Channel with Arbitrary Inputs

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21st Annual IEEE International Symposium on Personal, Indoor and Mobile Radio Communications (PIMRC)

作者： Guenduez, Deniz Payaro, Miquel CTTC Barcelona 08860 Spain

ISBN: (纸本)9781424480166

A two-way relay channel with independent parallel Gaussian channels between the relay and the two terminals is considered. Focusing on the decode-and-forward protocol, the second phase of the communication, in which the relay broadcasts the two messages to their respective receivers, is studied. Precisely, the problem of computing the power allocation among the parallel channels that maximizes the weighted sum rate assuming arbitrarily distributed channel inputs (such as m-QAM) is stated and shown to be convex. A numerical algorithm is provided to solve the problem for the general case and, for the particular cases of high and low power regimes, expressions for the optimal power allocation are derived in closed form.

关键词： Gaussian channels Gaussian two-way relay channel arbitrarily distributed channel inputs broadcast channels decode and forward communication decode-and-forward protocol numerical algorithm optimal power allocation parallel Gaussian channel protocols radio receivers relay broadcast relays weighted sum rate

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