Готові списки джерел за темами / Three-point approximation

Добірка наукової літератури з теми "Three-point approximation"

Автор: Grafiati
Опубліковано: 30 травня 2022
Оновлено: 31 травня 2022

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Статті в журналах з теми "Three-point approximation"

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Ryabushko, A. P., та T. A. Zhur. "ρ-Libration point in the three body problem". Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series 57, № 3 (7 жовтня 2021): 330–46. http://dx.doi.org/10.29235/1561-2430-2021-57-3-330-346.

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Herein, the restricted circular three-body problem in homogeneous and inhomogeneous media is considered. Particular attention is paid to libration points. The conditions of their existence or non-existence in the Newtonian and post-Newtonian approximations of the general theory of relativity are derived. Several regularities, new Newtonian and relativistic effects arising due to the impact of the additional relativistic forces on bodies of gravitational fields of mediums in the differential equations of the motion of bodies are indicated. Using the previously derived equations of the motion of two bodies A1, A2 in the medium, the authors substantiated the following statements. In a homogeneous medium (density of the medium ρ = const) in the Newtonian approximation of the general theory of relativity there are ρ-libration points , 1,...,5, moving along the same circles as the Euler and Lagrangian libration points Li but with an angular velocity 0 , greater than the angular velocity ω0 of libration points Li in a vacuum. Bodies A1, A2 also move along their circles with an angular velocity 0 > w When passing from the Newtonian approximation of the general theory of relativity to the post-Newtonian approximation of the general theory of relativity, the centre of mass of two bodies, resting in a homogeneous medium in the Newtonian approximation of the general theory of relativity, must move along a cycloid. The trajectories of the bodies can not be circles, the libration points Li disappear. In the case of an inhomogeneous medium distributed, for example, spherically symmetrically, the centre of mass of two bodies, already in the Newtonian approximation of the general theory of relativity, must move along the cycloid, despite it was at rest in the void. Therefore, bodies A1, A2 must describe loops that form, figuratively speaking, a «lace», as in the case of a homogeneous medium in the post-Newtonian approximation of the general theory of relativity. The figure illustrating the situation is provided. Due to the existence of the «lace» effect, the libration point Li movements are destroyed. In the special case, when the masses of bodies A1, A2 are equal (m1 = m2), the cycloids disappear and all the ρ-libration points exist in homogeneous and inhomogeneous media in the Newtonian and post-Newtonian approximations of the general theory of relativity. Numerical estimates of the predicted patterns and effects in the Solar and other planetary systems, interstellar and intergalactic mediums are carried out. For example, displacements associated with these effects, such as the displacement of the centre of mass, can reach many billions of kilometres per revolution of the two-body system. The possible role of these regularities and effects in the theories of the evolution of planetary systems, galaxies, and their ensembles is discussed. A brief review of the studies carried out by the Belarusian scientific school on the problem of the motion of bodies in media in the general theory of relativity is given.
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2

Gual-Arnau, Ximo, Maria Victoria Ibáñez Gual, and Juan Monterde. "CURVATURE APPROXIMATION FROM PARABOLIC SECTORS." Image Analysis & Stereology 36, no. 3 (December 18, 2017): 233. http://dx.doi.org/10.5566/ias.1702.

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We propose an invariant three-point curvature approximation for plane curves based on the arc of a parabolic sector, and we analyze how closely this approximation is to the true curvature of the curve. We compare our results with the obtained with other invariant three-point curvature approximations. Finally, an application is discussed.
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3

Salajegheh, E. "Optimum design of plate structures using three-point approximation." Structural Optimization 13, no. 2-3 (April 1997): 142–47. http://dx.doi.org/10.1007/bf01199233.

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4

Mikdam, A., A. Makradi, S. Ahzi, H. Garmestani, D. S. Li, and Y. Remond. "A new approximation for the three-point probability function." International Journal of Solids and Structures 46, no. 21 (October 2009): 3782–87. http://dx.doi.org/10.1016/j.ijsolstr.2009.07.004.

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Guo, Xu, Koetsu Yamazaki, and Geng Dong Cheng. "A new three-point approximation approach for design optimization problems." International Journal for Numerical Methods in Engineering 50, no. 4 (2001): 869–84. http://dx.doi.org/10.1002/1097-0207(20010210)50:4<869::aid-nme56>3.0.co;2-c.

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Drumm, Eric C., Richard M. Bennett, and Gary J. Oakley. "Probabilistic response of laterally loaded piers by three-point approximation." International Journal for Numerical and Analytical Methods in Geomechanics 14, no. 7 (September 1990): 499–507. http://dx.doi.org/10.1002/nag.1610140704.

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Kawecki, Bartosz, Jerzy Podgórski, and Aleksandra Głowacka. "Natural plant stems modelling in a three-point bending test." MATEC Web of Conferences 252 (2019): 07001. http://dx.doi.org/10.1051/matecconf/201925207001.

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Анотація:
The paper presents an approach to natural plant stems numerical modelling in a three-point bending test. Introduced subject was connected with elaborating more efficient systems for harvesting energetic plants. There were modelled, and laboratory tested two types of stems – sida hermaphrodita and miscanthus giganteus. Course of proceedings for obtaining natural cross-sectional dimensions with graphical data processing was described in detail. Basing on dozens of stems slices from random parts of plants, three different cross-section approximations were proposed and computationally implemented – a circular pipe, an elliptical pipe (symmetrical cross-section) and a sine-cosine series pipe (asymmetrical cross-section). Analytical formulas for calculating a cross-sectional area and moments of inertia for each approximation were given. Basic material parameters as an elastic modulus and yielding stress was obtained from simply supported beam theory and laboratory force – the deflexion relation. FEM models were created in Simulia Abaqus software using C3D20R elements. Preliminary approach to modelling damage with perfect plasticity was done basing on several samples bended to failure in laboratory tests. Conclusions for future work with numerical modelling natural plant stems were drawn.
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Yao, Jianyao, Weimin Wu, Kun Zhang, Dongyang Sun, Yaolu Liu, Huiming Ning, Ning Hu, and G. R. Liu. "Development of Three-Dimensional GSM-CFD Solver for Compressible Flows." International Journal of Computational Methods 14, no. 04 (April 18, 2017): 1750037. http://dx.doi.org/10.1142/s0219876217500372.

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A three-dimensional (3D) Computational Fluid Dynamics (CFD) solver based on the gradient smoothing method (GSM) is developed for compressible flows based on previous research. The piecewise constant smoothing function with one-point integration scheme is implemented for gradient approximation of field variables and convective fluxes. The matrix-based method for gradient approximations is also developed to improve the numerical efficiency. Numerical examples of gradient approximations of several given functions have shown that the proposed GSM is more accurate and robust to mesh distortion. A transonic ONERA M6 wing is used to demonstrate the effectiveness of the proposed GSM-CFD solver.
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Chinh, P. Duc. "Three-point interpolation approximation for the macroscopic properties of isotropic two-component materials." Philosophical Magazine 87, no. 24 (August 21, 2007): 3531–44. http://dx.doi.org/10.1080/14786430701344541.

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Devaney, Anthony J. "Generalized Projection-Slice Theorem for Fan Beam Diffraction Tomography." Ultrasonic Imaging 7, no. 3 (July 1985): 264–75. http://dx.doi.org/10.1177/016173468500700306.

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A generalized projection-slice theorem is derived for transmission fan beam diffraction tomography within the Born or Rytov approximations. The development is based on the use of the so-called paraxial approximation which requires that the object being probed subtend a small angle relative to the source point and to the measurement plane. Within this approximation it is shown that the transmitted field measured over a plane surface located on the opposite side of the object from the insonifying point source determines the three-dimensional spatial Fourier transform of the object profile over the surface of an ellipsoid of revolution in Fourier space. In the special case where the point source is in the far field of the object the semiaxes of the ellipsoid become equal and the surface degenerates to a sphere and the result reduces to the usual projection-slice theorem of plane beam diffraction tomography.
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Дисертації з теми "Three-point approximation"

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Onari, Seiichiro, Hiroshi Kontani, and Yukio Tanaka. "Transport phenomena in a three-dimensional system close to the magnetic quantum critical point: The conserving approximation with current vertex corrections." The American Physical Society, 2006. http://hdl.handle.net/2237/7139.

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2

Mesbahi, Abdessamad. "Deterministic and Stochastic Economic Modeling of Hybrid Power Supply System with Photovoltaic Generators." Master's thesis, КПІ ім. Ігоря Сікорського, 2021. https://ela.kpi.ua/handle/123456789/42555.

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Relevance of research. Due to the rapid deployment of the non-dispatchable (intermittent) generation sources in the smart grid, such as integration of the photovoltaic power plants and wind turbines in the distribution systems; this caused a problem of the uncertainty increase of simulation results for decision-making for power supply systems, these uncertainties of power systems are getting more and more notice. At the same time, the classical power systems models cannot give accurate simulation results. Wherein; it became necessary to define new models to represent the specific parameters of power system. wherein; this research reveals to the benefits of using probabilistic mathematical approaches to define and calculate the specific economic parameters, as well as the technical parameters for power supply system with the integration renewable energy generators, which are characterising by randomness and uncertainty due to the high penetration to the renewables. Monte Carlo Method, and Point Estimation Method are used to handle the uncertainties of renewable energy resources. The standard functions to represent the stochastic parameters of the model are analyzed with the use of three-point estimation technique for the distribution functions of their probable values. A synthetic skewed probability density function was analytically constructed basing on the standard normal distribution, which is suitable for analytic representation of the predicted and/or statistical random sampling of the uncertain model parameters of energy system with renewables, and analytical expressions were obtained to compute the moments of proposed synthetic probability function. Relationship of work with scientific programs, plans, themes. is to demonstrate the possibility of describing the input parameters of the simulation Deterministic and Stochastic Modeling by probability Density Functions by the use of three-point approximation techniques and to obtain analytical expressions for the characteristics of such distributions, suitable for non-iterative (as opposed to Monte Carlo Method) probabilistic method applications, namely the Point Estimation Method. Purpose and tasks of the research. Increasing the simulation accuracy results for estimation economic and technical parameters characterising photovoltaic power plant based on based on the life cycle model; as well as development of different algorithms based on deterministic and stochastic modeling of power system with non-dispatchable sources and minimize the computation time. Object of research. Processes of determining the estimated technical and economic parameters characterising a photovoltaic power plant located in Ukraine basing on stochastic modeling. Subject of research. Use of the Monte Carlo Method and Point Estimation Method to estimate the various economic and technical information characteristic of alternative power plants in order to obtain accurate simulation results. Practical value of the results. Practical techniques of the three-point approximation are used to construct the probability density function of the model uncertain (stochastic) parameter, which dominantly influences the modeling result: an event occurrence probability, the result attainability, whatsoever. This technique is an effective tool for the practical evaluating of an uncertain value of a technological or economic factor of material and/or economic object, and widely used for overall Levelized Energy Cost (LCOE – LEC) which is directly or indirectly engaged into analytic representation of the power systel model. Usually, the model of a kind is designed to solve technical and/or economic problem by means of Deterministic and Stochastic Modeling. Scientific novelty of the obtained results is the development of algorithms and mathematical solutions using a probabilistic approach basing Point Estimation Method instead of Monte Carlo Melthod to obtain more accurate estimation simulation results, as well as to obtain computational results in less time for useful decision-making in alternative power plant projects.
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3

Chung, Chin-Yeh, and 鍾金曄. "Enhanced Three Point Approximation Technique and Optical Inspection Structural Optimization." Thesis, 2011. http://ndltd.ncl.edu.tw/handle/35710269397855351532.

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Анотація:
碩士
淡江大學
機械與機電工程學系碩士班
99
On the basis of the advanced new three-point approximation method, this thesis presents a shifting level technique combined the advanced new three-point approximation applying on structural optimization problems. Numerical examples show that the singularity can be effectively avoided by shifting level technique during optimization process. From the examination, it is verified that fewer iterations is required than other approximation optimization. The numerical error and the numbers of convergence can be reduced as well. The completed optimization process including moving region are re-examined and proposed in the thesis. A large-scale optical inspection structure for modern wafer manufacture is presented in the thesis. To promote the precision of quality measurement and inspection, it is necessary to increase the structural stiffness and to optimize the structural behavior control. In the beginning, the finite element analysis must be successfully applied to the correct model, and then an appropriate optimization model must can be proposed. Thus, to minimize the structural weight and minimize critical deflection are two design objectives are assigned in the numerical optimization process. Consequently, the proposed enhanced three-point approximation optimization is applied to the solution process. A satisfactory result can be obtained in proposed approximated design optimization process.
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Книги з теми "Three-point approximation"

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Bruhn, Mark J. Intentionality and Constraint in Conceptual Blending. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780190457747.003.0005.

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This chapter proposes a systems-theoretic adjustment to conceptual blending theory with respect to the so-called generic space. In creative conceptualization, the generic space is not an optional by-product of conceptual mappings across previously and otherwise constituted input spaces, but rather their effective cause, and not by selecting for them but by massively constraining against anything not them. As a first approximation of the blend’s targeted or intended meaning, the generic space functions as an indispensable “proto-blend” that sets the parameters and satisfaction conditions for the resulting conceptual network. This underappreciated point is elaborated through case studies of three well-known and increasingly complex creative blends: a sentence-level metaphor (“This surgeon is a butcher!”), an extemporaneous discourse exchange (from the live radio talk show “Loveline”), and a highly iconic lyric poem (Richard Wilbur’s “Piazza di Spagna, Early Morning”).
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Частини книг з теми "Three-point approximation"

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Guezane-Lakoud, A., and L. Zenkoufi. "Study of Third-Order Three-Point Boundary Value Problem with Dependence on the First-Order Derivative." In Advances in Applied Mathematics and Approximation Theory, 421–39. New York, NY: Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-6393-1_28.

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Polyak, Ilya. "Historical Records." In Computational Statistics in Climatology. Oxford University Press, 1996. http://dx.doi.org/10.1093/oso/9780195099997.003.0008.

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In this chapter, the historical records of annual surface air temperature, pressure, and precipitation with the longest observational time series will be studied. The analysis of the statistically significant systematic variations, as well as random fluctuations of such records, provides important empirical information for climate change studies or for statistical modeling and long-range climate forecasting. Of course, compared with the possible temporal scales of climatic variations, the interval of instrumental observations of meteorological elements proves to be very small. For this reason, in spite of the great value of such records, they basically characterize the climatic features of a particular interval of instrumental observations, and only some statistics, obtained with their aid, can have more general meaning. Because each annual or monthly value of such records is obtained by averaging a large number of daily observations, the corresponding central limit theorem of the probability theory can guarantee their approximate normality. In spite of this, we computed the sample distribution functions for each time series analyzed below and evaluated their closeness to the normal distribution by the Kolmogorov- Smirnov criterion. As expected, the probability of the hypothesis that each of the climatic time series (annual or monthly) has a normal distribution is equal to one with three or four zeros after the decimal point. As seen in this section, the straight line least squares approximation of the climatic time series enables us to obtain very simple and easy-to-interpret information about the power of the long period climate variability. Carrying out such an approximation, we assume that the fluctuation with a period several times greater than the observational interval will become apparent as a gradual increase or decrease of the observed values. Using only a small sample, it is impossible to determine accurately the amplitude and frequency of such long-period climate fluctuation. Consequently, the straight-line model is the simplest approach in this case. Let us begin with an analysis of the annual surface air temperature time series, the observations of which are published in Bider et al., (1959), Bider and Schiiepp, (1961), Lebrijn (1954), Manlcy (1974), and in the World Weather Records (1975).
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Riggsby, Andrew M. "Representing Three Dimensions." In Mosaics of Knowledge, 130–53. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780190632502.003.0005.

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Ancient painting made little or no use of single-point perspective. Some modern scholars, however, have inferred from this that ancient artists and audiences lacked a sense of “space.” This chapter’s three case studies (two involving fresco painting and one low-relief stucco, all in the genre generally known as sacro-idyllic landscape) argue instead for the existence a diversity of ways of encoding spatial information. The approaches are distinct, but they show family resemblances by drawing differentially from more or less the same pool of strategies (involving color coding, scaling, and foreshortening of objects of predictable size and shape, physical overlap, narrative connection, and others). In combination, these do not determine a single spatial reading for any given work of art, but they constrain the range of plausible approximations. That several superficially diverse sets of works converge on this property shows that spatiality was important to all of them.
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Тези доповідей конференцій з теми "Three-point approximation"

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Marzouk, Ahmad M., Ahmed A. Abdelmoaty, Amr Helmy, and Yehea Ismail. "TPQA: Three point quadrature approximation MPPT algorithm." In 2013 IEEE 20th International Conference on Electronics, Circuits, and Systems (ICECS). IEEE, 2013. http://dx.doi.org/10.1109/icecs.2013.6815438.

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2

Khettaoui, Billal, and Mohamed Boudour. "Synchrophsor Estimation Using The Three-point Interpolated DFT Based On Polynomial Approximation." In 2018 International Conference on Electrical Sciences and Technologies in Maghreb (CISTEM). IEEE, 2018. http://dx.doi.org/10.1109/cistem.2018.8613613.

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3

Borovytsky, Volodymyr, Viktoriia Chorna, and Andrey Fesenko. "Three dimensional point spread function of an optical system and its approximation." In Eleventh International Conference on Correlation Optics, edited by Oleg V. Angelsky. SPIE, 2013. http://dx.doi.org/10.1117/12.2051154.

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4

Buranathiti, Thaweepat, Jian Cao, and Wei Chen. "A Weighted Three-Point-Based Strategy for Variance Estimation." In ASME 2004 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2004. http://dx.doi.org/10.1115/detc2004-57363.

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In manufacturing processes, it is widely accepted that uncertainty plays an important role and should be taken into account during analysis and design processes. However, uncertainty quantification of its effects on an end-product is a very challenging task, especially when an expensive computational effort is already needed in deterministic models such as sheet metal forming simulations. In this paper, we focus our work on the variance estimation of the system response. A weighted three-point-based strategy is proposed to efficiently and effectively estimate the variance of the system response. Three first-order derivatives for each variable are used to estimate the nonlinear behavior and variance of the system. The details of the derivation of the approach are presented in the paper. The optimal locations of the three points along each axis in the standard normal space and weights for input variables following normal distributions are proposed as (−1.8257,0.0,+1.8257) and (0.075,0.850,0.075), respectively. For input variables following uniform distributions U(−1,1), the optimal locations and weights are proposed as (−0.84517,0.0,+0.84517) and (0.04667,0.90666,0.04667), respectively. The proposed approach is applicable to nonlinear and multivariable systems as well as problems having no explicit function such as those design simulations based on finite element methods. The significant accuracy improvement over the traditional first-order approximation is demonstrated with a number of test problems. The proposed method requires significantly less computational effort compared with the Monte Carlo simulations. Discussions and conclusions of this work are given at the end of the paper.
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Kostiuk, Vasyl O., Mykola Fedosenko, and Abdessamad Mesbahi. "The Three-Point Approximation of the Stochastic Parameter applicable for Technical and Economic Modeling of Renewable Sources." In 2020 IEEE 7th International Conference on Energy Smart Systems (ESS). IEEE, 2020. http://dx.doi.org/10.1109/ess50319.2020.9159964.

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Ahmed, Raheel, and Michael G. Edwards. "A Three-Dimensional Symmetric Positive Definite Control-Volume Distributed Multi-Point Flux Approximation for Flow Computation on Tetrahedral Grids." In SPE Reservoir Simulation Conference. Society of Petroleum Engineers, 2019. http://dx.doi.org/10.2118/193919-ms.

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Arabnia, Mohammad, and Wahid Ghaly. "A Strategy for Multi-Point Shape Optimization of Turbine Stages in Three-Dimensional Flow." In ASME Turbo Expo 2009: Power for Land, Sea, and Air. ASMEDC, 2009. http://dx.doi.org/10.1115/gt2009-59708.

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This paper presents an effective and practical shape optimization strategy for turbine stages so as to minimize the adverse effects of three-dimensional flow features on the turbine performance. The optimization method combines a genetic algorithm (GA), with a Response Surface Approximation (RSA) of the Artificial Neural Network (ANN) type. During the optimization process, the individual objectives and constraints are approximated using ANN that is trained and tested using a few three-dimensional CFD flow simulations; the latter are obtained using the commercial package Fluent. The optimization objective is a weighted sum of individual objectives such as isentropic efficiency, streamwise vorticity and is penalized with a number of constraints. To minimize three-dimensional effects, the stator and rotor stacking curves are taken as the design variable. They are parametrically represented using a quadratic rational Bezier curve (QRBC) whose parameters are related to the blade lean, sweep and bow, which are used as the design variables. The described strategy was applied to single and multipoint optimization of the E/TU-3 turbine stage. This optimization strategy proved to be successful, flexible and practical, and resulted in an improvement of around 1% in stage efficiency over the turbine operating range with as low as 5 design variables. This improvement is attributed to the reduction in secondary flows, in stator hub choking, and in the transonic region and the associated flow separation.
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Zhang, Zhigang, Mingrui Mo, and Caizhu Wu. "Improved Phase-coordinate Fixed-point Iterative Method Based on Equivalent Admittance Approximation for Power Flow Calculation in Three-phase Distribution Systems." In 2020 4th International Conference on HVDC (HVDC). IEEE, 2020. http://dx.doi.org/10.1109/hvdc50696.2020.9292801.

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Lin, Yao, Kiran Krishnapur, Janet K. Allen, and Farrokh Mistree. "Robust Design: Goal Formulations and a Comparison of Metamodeling Methods." In ASME 1999 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/detc99/dac-8608.

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Abstract In this paper, through theoretical analysis, we point out the limitations of goal formulations in previous methods for approximation-based robust design. Based on different philosophies and mathematical deduction, we propose three new methods to formulate robust design goals. Using a single variable function, we compare and contrast the use of response surface models and kriging models for approximating non-random, deterministic computer analyses in robust design with large variances of design variables in a highly nonlinear design space. Our preliminary conclusions are: 1) kriging models perform better than response surface models in a large design space with a high degree of nonlinearity, and 2) more robust solutions are achievable with kriging models than with response surface models.
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Sheung, Hoi, Siu-Ping Mok, and Charlie C. L. Wang. "A Highly Parallel Approach to Meshing Scattered Point Data." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-86936.

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In this paper, we present a parallel mesh surface generation approach for unorganized point clouds that runs on the graphics processing unit (GPU). Our approach integrates point cloud simplification, point cloud optimization, and local triangulation techniques into the same framework. The input point cloud will be processed through three steps of algorithms, which are 1) preprocessing: to generate the neighborhood table of points and estimate the normal vectors, 2) clustering: to group points into optimized clusters that minimize the shape approximation error, and 3) meshing: to connect the seed points in clusters to form the resultant triangular mesh surface. As the number of clusters can be specified by users, the number of vertices on resultant mesh surfaces is controlled. The algorithms exploited here are highly parallelized to take advantage of the single-instruction-multiple-data (SIMD) parallelism that is available on consumer-level graphics hardware with GPU. Moreover, to overcome memory limitation on graphics hardware, the algorithms in all these steps are able to process massive data in streaming mode.
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