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computational algorithm to Solve Two-Body Problem Using Power Series in Geocentric System

APPLIED MATHEMATICS AND NONLINEAR SCIENCES 2022年第2期8卷 39-46页

作者： Alhowaity, Sawsan Shaqra Univ Coll Sci & Humanities Dept Math Shaqra Saudi Arabia

In this paper, a universal computational algorithm is constructed by using $F$ and $G$ series, which can be applied for any of conic orbit. In particular, to find the solution of the two-body problem. In this context, the solution of geocentric system motion of the Mercury planet in the solar system is found using the obtained computational algorithm.

关键词： Two-problem F and G series computational algorithm

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Pro-Environmental Potential in Activity-Travel Routine of Individuals: A Data Driven computational algorithm

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Procedia Computer Science 2018年 130卷 541-548页

作者： Shiraz Ahmed Muhammand Adnan Davy Janssens Ansar-ul-Haque Yasar Prashant Kumar Elhadi M. Shakshuki UHasselt - Hasselt University Transportation Research Institute (IMOB) Agoralaan 3590 Diepenbeek Belgium Global Centre for Clean Air Research (GCARE) Department of Civil and Environmental Engineering Faculty of Engineering and Physical Sciences University of Surrey Guildford GU2 7XH Surrey United Kingdom Jodrey School of Computer Science Acadia University Wolfville Nova Scotia Canada

Informational interventions are considered important to bring positive changes in attitudes and perception about pro-environmental life styles among individuals. In relation to mobility aspects, it is vital to identify relatively easier changes that have potential to reduce negative impacts of mobility on environment and individual health. This paper provides a comprehensive methodological framework and developed a computation algorithm that helps identify such an easy changes in the travel behavior of an individual. The development of algorithm is based on a variety of different data sources such as activity-travel diaries and related constraint information, meteorological conditions, bicycle and public transport supply data. A variety of rules that are part of the computational algorithm are taken from the transport modelling literature, where constraints and factors were examined for various activity-travel decisions. Three major aspects of activity-travel behavior such as lesser car use, cold start of car engines and participation in non-mandatory outdoor activities are considered in assessing pro-environmental potential. The algorithm is applied to data collected, using citizens from Hasselt and their pro-environmental potential is determined, which has been found significant.

关键词： Pro-environmantal potential acitivity-travel behavior informational intervention computational algorithm

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Nonlinear dynamic analysis of two external excitations for the gear system using an original computational algorithm

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MECHANICAL SYSTEMS AND SIGNAL PROCESSING 2020年 144卷 106823-106823页

作者： Liu, Fuhao Zhang, Liang Jiang, Hanjun Zhang, Jielu Qingdao Univ Technol Sch Mech & Automot Engn Qingdao 266520 Peoples R China Yancheng Inst Technol Coll Automobile Engn Jiangshu 224051 Peoples R China Jiangsu Tailong Decelerator Machinery Co Ltd Taixing 225400 Jiangsu Peoples R China

In this work, a dynamic gear model has been developed by incorporating both the driving speed and the drag torque as external excitation sources. An original computational algorithm, with adaptive selection of the time-step method (for guaranteeing precision) and smarter time-step reduced method (for increasing efficiency), is proposed by defining a very small transition area between lubricant and solid contact. This algorithm can overcome the limitations of known prior research work and make sure an accurate determination of the time and position for lubricant/solid contact. Numerical results are presented to illustrate and quantify the influence of the external excitations, as well as the numerical advantages of the original computational algorithm in comparison with various Matlab solvers. The results presented in this study provide an understanding of the external excitations under which undesirable dynamic motion takes place and therefore serve as a useful source of reference for engineers in controlling such gear systems. (C) 2020 Elsevier Ltd. All rights reserved.

关键词： Gear system computational algorithm External excitations Nonlinear vibration

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Quotient-Difference algorithm and Code for Cubic Polynomials with computational Implementation

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NUMERICAL ANALYSIS AND APPLICATIONS 2025年第1期18卷 44-58页

作者： Debnath, G. Vasu, B. Motilal Nehru Natl Inst Technol Dept Math Allahabad 211004 Uttar Pradesh India

This article explores the computational intricacies of H. Rutishauser's Quotient-Difference (Q-D) algorithm and C programming code, a revolutionary advancement in polynomial analysis. Our specific focus is on cubic polynomials featuring absolute, distinct non-zero real roots. Emphasizing the algorithm's distinctive capability to simultaneously approximate all zeros independently of external data. Notably, it proves invaluable in diverse domains, such as determining continuous fraction representations for meromorphic functions and serving as a powerful tool in complex analysis for the direct localization of poles and zeros. To bring this innovation into practice, the article introduces a meticulously crafted C language program, complete with a comprehensive algorithm and flowchart. Supported by illustrative examples, this implementation underscores the algorithm's robustness and effectiveness across various real-world scenarios.

关键词： quotient-difference algorithm polynomial roots computational algorithm Q-D table C program

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computational algorithms to simulate the steel continuous casting

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International Journal of Minerals,Metallurgy and Materials 2010年第5期17卷 596-607页

作者： A. Ramírez-López G. Soto-Cortés M. Palomar-Pardavé M.A. Romero-Romo R. Aguilar-López Institute Polytechnic National(Mexico) Department of Materials Metropolitan Autonomous University

computational simulation is a very powerful tool to analyze industrial processes to reduce operating risks and improve profits from equipment. The present work describes the development of some computational algorithms based on the numerical method to create a simulator for the continuous casting process, which is the most popular method to produce steel products for metallurgical industries. The kinematics of industrial processing was computationally reproduced using subroutines logically programmed. The cast steel by each strand was calculated using an iterative method nested in the main loop. The process was repeated at each time step （？t） to calculate the casting time, simultaneously, the steel billets produced were counted and stored. The subroutines were used for creating a computational representation of a continuous casting plant （CCP） and displaying the simulation of the steel displacement through the CCP. These algorithms have been developed to create a simulator using the programming language C＋＋. algorithms for computer animation of the continuous casting process were created using a graphical user interface （GUI）. Finally, the simulator functionality was shown and validated by comparing with the industrial information of the steel production of three casters.

关键词： continuous casting simulation numerical method computational algorithm

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computational algorithms for wavelet identification of nonlinearities in hammerstein systems with random inputs

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IEEE TRANSACTIONS ON SIGNAL PROCESSING 2008年第2期56卷 846-851页

作者： Sliwinski, Przemyslaw Hasiewicz, Zygmunt Wroclaw Univ Technol Inst Comp Engn Control & Robot PL-50370 Wroclaw Poland

Simple and efficient computational algorithms for nonparametric wavelet-based identification of nonlinearities in Hammerstein systems driven by random signals are proposed. They exploit binary grid interpolations of compactly supported wavelet functions. The main contribution consists in showing how to use the wavelet values from the binary grid together with the fast wavelet algorithms to obtain the practical counterparts of the wavelet-based estimates for irregularly and randomly spaced data, without any loss of the asymptotic accuracy. The convergence and the rates of convergence are examined for the new algorithms and, in particular, conditions for the optimal convergence speed are presented. Efficiency of the algorithms for a finite number of data is also illustrated by means of the computer simulations.

关键词： compactly supported wavelets computational algorithm fast wavelet transform Hammerstein system nonlinear system identification spline inter-polation

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computational algorithms for a Damage-coupled Cyclic Viscoplasticity Material Model

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INTERNATIONAL JOURNAL OF DAMAGE MECHANICS 2009年第6期18卷 507-532页

作者： Zhao, A. H. Chow, C. L. Univ Michigan Dept Mech Engn Dearborn MI 48128 USA

The primary objective of this investigation is to develop efficient and robust computational schemes for a damage-coupled cyclic thermoviscoplasticity model for solder materials. Three constitutive integration algorithms, Euler, modified Euler, and semi-implicit algorithm for the model are examined. The three algorithms for the model are coded in the commercial finite element (FE) code ABAQUS (version 6.21) via its user-defined material subroutine UMAT. Two single-step algorithms of the substep scheme are applied for the modified Euler algorithm to control the error in the integration of constitutive laws. A semi-empirical formulation is established for an adaptive time stepping algorithm that is based on the Euler algorithm. The simulations of single-element, miniature specimen and notched specimen simulations have been conducted and compared with the test results under monotonic tensile, creep, and fatigue tests of 63Sn-37Pb solder. It is observed that the explicit algorithm consistently requires much less CPU time than others. The modified Euler algorithm has shown, on the other hand, to be not only efficient but also accurate. The semi-implicit algorithm yields an accurate solution. It is worth noting that the method is also effective by applying an appropriate integration scheme.

关键词： thermoviscoplasticity damage mechanics solder finite element computational algorithm

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computational algorithms for multiscale identification of nonlinearities in Hammerstein systems with random inputs

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IEEE TRANSACTIONS ON SIGNAL PROCESSING 2005年第1期53卷 360-364页

作者： Sliwinski, P Hasiewicz, Z Wroclaw Univ Technol Inst Engn Cybernet PL-50370 Wroclaw Poland

There are well-known procedures for computing values of compactly supported wavelets in binary grid points. Such algorithms are inherently well suited for solving system identification tasks with fixed input design. We show that they can be also efficiently used for the solution of system identification problems with random x-variables.

关键词： Compactly supported wavelets computational algorithm Hammerstein system system identification.

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computational algorithmic procedure of optimal inventory policy involving a negative exponential crashing cost and variable lead time demand

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APPLIED MATHEMATICS AND COMPUTATION 2007年第2期184卷 798-808页

作者： Wu, Jong-Wuu Lee, Wen-Chuan Tsai, Hui-Yin Chang Jung Christian Univ Dept Int Business Tainan 71101 Taiwan Natl Chiayi Univ Dept Appl Math Chiayi 60004 Taiwan Yuanpei Univ Dept Business Adm Hsinchu 300 Taiwan

When the demand of the different customers are not identical in the lead time, we cannot use only a single distribution (such as Ouyang et al. (1996) [L.Y. Ouyang, N.C. Yeh, K.S. Wu, Mixture inventory model with backorders and lost sales for variable lead time, Journal of the Operational Research Society 47 (1996) 829-832] using normal distribution) to describe the demand of the lead time. Hence, in this paper, we extend the models of Ouyang et al. (1996) and Ouyang and Wu (1998) [L.Y. Ouyang, K.S. Wu, A minimax distribution free procedure for mixed inventory model with variable lead time, International Journal of Production Economics 56-57 (1998) 511-516] by considering the mixture of normal distributions and the mixture of free distributions (see Everitt and Hand (1981) [B.S. Everitt, D.J. Hand, Finite Mixture Distribution, Chapman and Hall, London, NY, 1981]), respectively. Moreover, we quote the continuous model which the total crashing cost is related to the lead time by a negative exponential function (such as Ben-Daya and Raouf (1994) [M. Ben-Daya, A. Raouf, Inventory models involving lead time as decision variable, Journal of the Operational Research Society 45 (1994) 579-582]). Finally, we give two algorithmic procedures to find the optimal inventory policy and two numerical examples to illustrate the results. (c) 2006 Elsevier Inc. All rights reserved.

关键词： crashing cost order quantity mixture of distributions backorders lost sales computational algorithm

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Static output feedback strategy for mean-field social control with nonlinear stochastic dynamics

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INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE 2025年

作者： Mukaidani, Hiroaki Xu, Hua Zhuang, Weihua Hiroshima Univ Grad Sch Adv Sci & Engn 1-4-1 Kagamiyama Higashihiroshima 7398527 Japan Univ Tsukuba Grad Sch Business Sci Bunkyo Ku Tokyo Japan Univ Waterloo Dept Elect & Comp Engn Waterloo ON Canada

A mean-field social control problem for uncertain nonlinear stochastic systems is investigated by using a robust static output feedback (SOF) strategy. First, the problem in the single decision maker case is investigated in terms of guaranteed cost control approaches to derive suboptimal conditions at the supremum of the cost function. The Karush-Kuhn-Tucker (KKT) condition is used to derive the necessary conditions which are expressed as a large stochastic combined matrix equation (SCME). Second, the preliminary results in the single decision maker case are used to study the Pareto optimal strategy in a cooperative game. As our main contribution, we derive the high-order centralised strategies and the low-order decentralised strategies, respectively, for the cooperative game. In order to avoid the difficulty of higher-order dimensional problem related to SCMEs, a new reduced-order decomposition numerical scheme by means of Newton's method is developed. The computation for designing the proposed strategy set can be performed in low dimension, even when the number of decision makers approachs to infinity. Moreover, the degradation of the cost function is rigorously evaluated by comparing the centralised strategy set with the proposed strategy set. Finally, several numerical experiments are conducted to demonstrate the usefulness and effectiveness of the proposed strategy set.

关键词： Mean-field social control multiple decision makers reduced-order technique computational algorithm uncertain nonlinear stochastic system

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