• Title/Summary/Keyword: Convergence Condition

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Numerical Modeling of Floating Electrodes in a Plasma Processing System

  • Joo, Junghoon
    • Applied Science and Convergence Technology
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    • v.24 no.4
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    • pp.102-110
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    • 2015
  • Fluid model based numerical analysis is done to simulate a plasma processing system with electrodes at floating potential. $V_f$ is a function of electron temperature, electron mass and ion mass. Commercial plasma fluid simulation softwares do not provide options for floating electrode boundary value condition. We developed a user subroutine in CFD-ACE+ and compared four different cases: grounded, dielectric, zero normal electric field and floating electric potential for a 2D-CCP (capacitively coupled plasma) with a ring electrode.

A Study on Development of Remote Management Controller for Intelligent Power Equipment (지능형 전원설비의 원격관리제어기 개발에 관한 연구)

  • Lim, Byung-Kuk
    • Journal of the Korean Society of Industry Convergence
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    • v.9 no.1
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    • pp.79-86
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    • 2006
  • In this study, we research and develope Intelligent Remote management controller. According to the load condition, we will apply various control techniques and plan high efficient Demand control. After development, According to the Demand Control, An electricity enterprisers will expect enlargement of equipment coefficient, elevation of back up load factor and reduction effect of equipment investment. On Customer side, They will expect reduction of electric fee, saving energy and variety of service choice.

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A FINITE DIFFERENCE SCHEME FOR RLW-BURGERS EQUATION

  • Zhao, Xiaohong;Li, Desheng;Shi, Deming
    • Journal of applied mathematics & informatics
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    • v.26 no.3_4
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    • pp.573-581
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    • 2008
  • In this paper, a finite difference method for a Cauchy problem of RLW-Burgers equation was considered. Although the equation is not energy conservation, we have given its the energy conservative finite difference scheme with condition. Convergence and stability of the difference solution were proved. Numerical results demonstrate that the method is efficient and reliable.

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Effects of Preconditioning Matrices on the Multigrid Convergence (예조건화 행렬에 따른 다중격자 기법의 수렴성 연구)

  • Seong Chun-Ho;Kim Yun-Sik;Gwon Jang-Hyeok
    • 한국전산유체공학회:학술대회논문집
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    • 2001.05a
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    • pp.195-202
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    • 2001
  • In this paper, the convergence characteristics of preconditioned multigrid methods are investigated. The preconditioning method is introduced to reduce the condition number of discrete governing equations. 6 preconditioners including a point, line and diagonalized line solvers are implemented and applied to 2-dimensional inviscid flow problems. Theoretical fourier analyses and numerical results are presented for the preconditioners.

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A NONLINEAR GALERKIN METHOD FOR THE BURGERS EQUATION

  • Kang, Sung-Kwon;Kwon, Yong-Hoon
    • Communications of the Korean Mathematical Society
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    • v.12 no.2
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    • pp.467-478
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    • 1997
  • A nonlinear Galerkin method for the Burgers equation is considered. Due to the lack of the divergence free condition, the nonlinear term is treated differently compared to that of the Navier-Stokes equations. Strong convergence results are proved for the nonlinear Galerkin method.

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ON ZEROS AND GROWTH OF SOLUTIONS OF SECOND ORDER LINEAR DIFFERENTIAL EQUATIONS

  • Kumar, Sanjay;Saini, Manisha
    • Communications of the Korean Mathematical Society
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    • v.35 no.1
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    • pp.229-241
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    • 2020
  • For a second order linear differential equation f" + A(z)f' + B(z)f = 0, with A(z) and B(z) being transcendental entire functions under some restrictions, we have established that all non-trivial solutions are of infinite order. In addition, we have proved that these solutions, with a condition, have exponent of convergence of zeros equal to infinity. Also, we have extended these results to higher order linear differential equations.

Improved Two Points Algorithm For D-optimal Design

  • Ahn, Yunkee;Lee, Man-Jong
    • Communications for Statistical Applications and Methods
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    • v.6 no.1
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    • pp.53-68
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    • 1999
  • To improve the slow convergence property of the steepest ascent type algorithm for continuous D-optimal design problems. we develop a new algorithm. We apply the nonlinear system of equations as the necessary condition of optimality and develop the two-point algorithm that solves the problem of clustering. Because of the nature of the steepest coordinate ascent algorithm avoiding the problem of clustering itself helps the improvement of convergence speed. The numerical examples show the performances of the new method is better than those of various steepest ascent algorithms.

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Iterative learning control for a class of discrete-time nonlinear systems (이산시간 비선형 시스템에 대한 반복학습제어)

  • 안현식;최종호;김도현
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10a
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    • pp.836-841
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    • 1993
  • For a class of discrete-time nonlinear systems, an iterative learning control method is proposed and a sufficient condition is derived for the convergence of the output error. The proposed method is shown to be less sensitive to modelling errors and the uniform boundedness of the output error is guaranteed even in the presence of initial state errors. It is illustrated by simulations that the actual output converges to a desired output within the tolerance bound and convergence performance is improved by the presented method.

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Weak convergence for weighted sums of level-continuous fuzzy random variables (수준 연속인 퍼지 랜덤 변수의 가중 합에 대한 약 수렴성)

  • Kim, Yun-Kyong
    • Journal of the Korean Institute of Intelligent Systems
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    • v.14 no.7
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    • pp.852-856
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    • 2004
  • The present paper establishes a necessary and sufficient condition for weak convergence for weighted sums of compactly uniformly integrable level-continuous fuzzy random variables as a generalization of weak laws of large numbers for sums of fuzzy random variables.