• Title/Summary/Keyword: order of convergence

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NUMERICAL SOLUTIONS FOR MODELS OF LINEAR ELASTICITY USING FIRST-ORDER SYSTEM LEAST SQUARES

  • Lee, Chang-Ock
    • Korean Journal of Mathematics
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    • v.7 no.2
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    • pp.245-269
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    • 1999
  • Multigrid method and acceleration by conjugate gradient method for first-order system least squares (FOSLS) using bilinear finite elements are developed for various boundary value problems of planar linear elasticity. They are two-stage algorithms that first solve for the displacement flux variable, then for the displacement itself. This paper focuses on solving for the displacement flux variable only. Numerical results show that the convergence is uniform even as the material becomes nearly incompressible. Computations for convergence factors and discretization errors are included. Heuristic arguments to improve the convergences are discussed as well.

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GENERAL CONVERGENCE ANALYSIS OF THE LVCMS ALGORITHM (LVCMS 알고리즘에 대한 일반적인 수렴 특성 분석)

  • Nam, Seung-Hyon;Kim, Yong-Hoh
    • The Journal of Natural Sciences
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    • v.8 no.2
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    • pp.63-67
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    • 1996
  • Adaptive algorithms based on the higher order error criterion such as the LVCMS and the LMF show performance degradation if input signal contains additive noise with a heavier-tailed density. Conventional analysis often neglects higher order terms in the recursion and my not suit for prediction exact behavior of these higher order algorithms. This paper presents a new convergence analysis which contains all the higher order term in the recursion. The analysis shows that the higher order terms, which are often neglected, dose not affect the upper bound on the step size but the misadjustment. However, the effect decreases sharply proportional to the square of the step size.

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The Promotion Strategy of the Convergence Industry by using IT Utilization (융복합 산업의 이해와 IT 활용을 통한 융복합 산업 촉진방안에 관한 연구)

  • Kang, Ju-Young;Kang, Min-Cheol
    • The Journal of Information Systems
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    • v.18 no.1
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    • pp.47-76
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    • 2009
  • The economic growth that depended on IT industry is reaching to a limit. In order to overcome the limit, the convergence industry that makes new market and products is essential. However, companies preparing a jump into the convergence industry must understand the exact visions and characteristics of convergence. Therefore, we investigated the structural changes of industries caused by convergence and importance characteristics of convergence. Also, we demonstrated the current status of the convergence industry and analyzed economical, social/cultural, and technological environments that the companies are facing, and elaborated the opportunities of convergence. At last, we suggested basic requirements and strategies for companies starting a convergence business and IT utilization methods to accelerate the convergence business activation.

An Analysis of Convergence Phenomenon Using Industrial Convergence Coefficient (산업융합계수를 활용한 융합현상에 관한 연구)

  • Hwang, Sung-Hyun
    • The Journal of the Korea Contents Association
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    • v.17 no.3
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    • pp.666-674
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    • 2017
  • Today, the term of fusion, such as technology convergence and industrial convergence, is emerging as one of the most important trends in our society. The purpose of this study is to analyze the convergence coefficient of each industry using patent data and to analyze the convergence phenomenon in industry based on convergence coefficient. To do this, 2011-2015 Korean patent data were utilized. The research findings revealed that the ICC by industry was the highest in order of man-made fibres, paints/varnishes, petroleum products/nuclear fuel and other chemicals. Also, according to the inter-industry convergence matrix, the number of convergence patents was the greatest in order of office machinery and computers, special purpose machinery industries and Measuring instruments. Added same analysis was conducted through Industry with high number of patents. As a result, the convergence has been actively carried out in the fields of optical instruments, Basic chemical, Fabricated metal products, Measuring instruments and special purpose machine manufacturing industries.

An Exploratory Study on Convergence generation according to the convergence level estimation of Digital Device and Service (디지털기기와 디지털서비스의 컨버전스 수준 평가에 따른 컨버전스 세대의 탐색적 고찰)

  • Kim, Yeon-Jeong
    • Journal of Digital Convergence
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    • v.9 no.4
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    • pp.169-179
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    • 2011
  • The purpose of this study are as follows. First, to analyze digital convergence level of convergence generation to demographic variables. Second, the convergence level to digital device and using frequency to digital service. Third, the convergence level to digital service and using frequency to digital service. The research methods FGI, the interview with IT expert group and survey. The results of research are as follows. First, 30 aging, expert group, higher education group over graduate school are actively using and participated. Second, high level of convergence device are smart-phone, tablet PC, net-book are in order. high level of convergence service are SNS service, twitter, uee, portal messenger and app store, e-Book, web hard are in order. Third, The convergence generation enjoying app-store of smartphone, wireless game and more participating facebook/cyworld twitter, Portal, internet community.

ON ASYMPTOTICALLY f-ROUGH STATISTICAL EQUIVALENT OF TRIPLE SEQUENCES

  • SUBRAMANIAN, N.;ESI, A.
    • Journal of applied mathematics & informatics
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    • v.37 no.5_6
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    • pp.459-467
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    • 2019
  • In this work, via Orlicz functions, we have obtained a generalization of rough statistical convergence of asymptotically equivalent triple sequences a new non-matrix convergence method, which is intermediate between the ordinary convergence and the rough statistical convergence. We also have examined some inclusion relations related to this concept. We obtain the results are non negative real numbers with respect to the partial order on the set of real numbers.

Web Services based Convergence Model in NGN

  • Lee, Kang-Chan;Lee, Seung-Yun
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2008.10a
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    • pp.647-650
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    • 2008
  • The 'convergence service' in NGN implies the integration of services in NGN with a unified manner to access each service in order to interwork with each service. This paper shows the convergence model for NGN based on Web Services and provides a detailed scenario of each convergence model in form of Web Services.

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A Non-Uniform Convergence Tolerance Scheme for Enhancing the Branch-and-Bound Method (비균일 수렴허용오차 방법을 이용한 분지한계법 개선에 관한 연구)

  • Jung, Sang-Jin;Chen, Xi;Choi, Gyung-Hyun;Choi, Dong-Hoon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.36 no.4
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    • pp.361-371
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    • 2012
  • In order to improve the efficiency of the branch-and-bound method for mixed-discrete nonlinear programming, a nonuniform convergence tolerance scheme is proposed for the continuous subproblem optimizations. The suggested scheme assigns the convergence tolerances for each continuous subproblem optimization according to the maximum constraint violation obtained from the first iteration of each subproblem optimization in order to reduce the total number of function evaluations needed to reach the discrete optimal solution. The proposed tolerance scheme is integrated with five branching order options. The comparative performance test results using the ten combinations of the five branching orders and two convergence tolerance schemes show that the suggested non-uniform convergence tolerance scheme is obviously superior to the uniform one. The results also show that the branching order option using the minimum clearance difference method performed best among the five branching order options. Therefore, we recommend using the "minimum clearance difference method" for branching and the "non-uniform convergence tolerance scheme" for solving discrete optimization problems.

A Study on the Effect of First-order Hold Method on the Stability Boundary of a Virtual Mass-spring Model (일차-홀드 방법이 가상 질량-스프링 모델의 안정성 영역에 미치는 영향에 대한 연구)

  • Lee, Kyungno
    • Journal of Institute of Convergence Technology
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    • v.10 no.1
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    • pp.41-45
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    • 2020
  • This paper presents the effects of a virtual mass on the stability boundary of a virtual spring in the haptic system with first-order-hold. The virtual rigid body is modeled as a virtual spring and a virtual mass. When first-order-hold is applied, we analyze the stability boundary of the virtual spring through the simulation according to the virtual mass and the sampling time. As the virtual mass increases, the stability boundary of the virtual spring gradually increases and then decreases after reaching the maximum value. The results are compared with the stability boundary in the haptic system with zero-order-hold. When a virtual mass is small, the stability boundary of a virtual spring in the system with first-order-hold is larger than that in the system with zero-order-hold.