• 제목/요약/키워드: Asymptotic Analysis

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활성화 에너지가 매우 큰 경우에 점근법을 이용한 반무한체의 점화에 관한 연구 (Asymptotic analysis of ignition of a semi-infinite body for a large activation energy)

  • 백승욱
    • 대한기계학회논문집
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    • 제13권4호
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    • pp.703-707
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    • 1989
  • 본 연구에서는 반무한체에 대하여 활성화 에너지가 매우 큰 경우의 점근법을 적용하여 이 두 변수의 시간에 따른 변화가 점화지연시간에 미치는 영향을 해석적으로 알아보고 참고문헌(1)의 실험치와 비교하고자 한다.

CAUTION OF REGIONAL FLOOD FREQUENCY ANALYSIS BASED ON WEIBULL MODEL

  • Heo, Jun-Haeng;Lee, Dong-Jin;Kim, Kyung-Duk
    • Water Engineering Research
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    • 제1권1호
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    • pp.11-23
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    • 2000
  • Regional flood frequency analysis has been developed by employing the nearby site's information to improve a precision in estimating flood quantiles at the site of interest. In this paper, single site and regional flood frequency analyses were compared based of the 2-parameter Weibull model. For regional analysis, two approaches were employed. The First one is to use the asymptotic variances of the quantile estimators derived based of the assumption that all sites including the site of interest are independent each other. This approach may give the maximum regional gain due to the spatial independence assumption among sites. The second one in Hosking's regional L-moment algorithm. These methods were applied to annual flood data. As the results, both methods generally showed the regional gain at the site of interest depending on grouping the sites as homogeneous. And asymptotic formula generally shows smaller variance than those from Hosking's algorithm. If the shape parameter of the site of interest from single site analysis is quite different from that from regional analysis then Hosking's results might be better than the asymptotic ones because the formula was derived based on the assumption that all sites have the same regional shape parameter. Furthermore, in such a case, regional analysis might be worse than single site analysis in the sense of precision of flood quantile estimation. Even though the selected sites may satisfy Hosking's criteria, regional analysis may not give a regional gain for specific and nonexceedance probabilities.

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A FOURTH-ORDER FAMILY OF TRIPARAMETRIC EXTENSIONS OF JARRATT'S METHOD

  • Kim, Young Ik
    • 충청수학회지
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    • 제25권3호
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    • pp.579-587
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    • 2012
  • A fourth-order family of triparametric extensions of Jarratt's method are proposed in this paper to find a simple root of nonlinear algebraic equations. Convergence analysis including numerical experiments for various test functions apparently verifies the fourth-order convergence and asymptotic error constants.

A Contour-Integral Derivation of the Asymptotic Distribution of the Sample Partial Autocorrelations with Lags Greater than p of an AR(p) Model

  • Park, B. S.
    • Journal of the Korean Statistical Society
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    • 제17권1호
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    • pp.24-29
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    • 1988
  • The asymptotic distribution of the sample partial autocorrelation terms after lag p of an AR(p) model has been shown by Dixon(1944). The derivation is based on multivariate analysis and looks tedious. In this paper we present an interesting contour-integral derivation.

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가변 구조 제어 방식을 이용한 최소위상 비선형 시스템의 점근적 경로 추적 (The asymptotic tracking using variable structure control for a minimum phase nonlinear system)

  • 오승록
    • 전기전자학회논문지
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    • 제13권1호
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    • pp.30-35
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    • 2009
  • 입력 상수에 불확실성이 있는 최소위상 비선형시스템에 대해 경로추적 오차가 없는 제어기 설계를 제안하였다. 모델링 불확실성이 존재하는 비선형 시스템에 대해 상태 변수를 예측하기 위해 고 이득 관측기를 사용하였다. 적분형 가변 구조 제어 방식을 이용하여 점근적으로 경로추적오차가 0 되는 새로운 제어기를 제안하여 기존의 경로 추적오차를 감소시켰다. 제어기 설계의 정당성은 폐루프 시스템을 Lyapunov 분석 방법을 통해 보였다. 또한 제어기의 성능을 모의시험을 통해 보였다.

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가장자리 형상의 레이더 반사 면적 해석에서 물리광학기법의 적용 한계 (Allowable limit of physical optics in radar cross section analysis of edge shape)

  • 백상민
    • 한국항공우주학회지
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    • 제46권1호
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    • pp.78-85
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    • 2018
  • 항공기의 레이더 반사 면적을 예측하기 위한 수치해석 방법으로 전파기법(Full-wave method) 또는 점근기법(Asymptotic method)이 주로 이용된다. 전파기법은 점근기법에 비하여 상대적으로 정확한 해석결과를 기대할 수 있으나, 점근기법은 수치적으로 효율성이 높아 레이더 반사 면적 해석 시에는 점근 기법이 보다 널리 활용되고 있다. 그러나 점근기법을 이용하여 레이더 반사 면적을 예측할 때 발생하는 오차는 쉽게 예상하기 어렵다. 본 논문에서는 쐐기-원통형 해석 모델을 구성하고, 가장자리 형상을 변화시키면서 모멘트법과 물리광학기법의 레이더 반사 면적 예측 결과를 비교하여 물리광학기법의 적용 한계를 분석한다. 마지막으로 레이더 반사 면적 예측 시 물리광학기법의 적용 한계에 대한 기준을 제시하고자 한다.

초과엔탈피 화염의 점근 해석 (An Asymptotic Analysis of Excess Enthalpy Flame)

  • 이대근
    • 한국연소학회:학술대회논문집
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    • 한국연소학회 2014년도 제49회 KOSCO SYMPOSIUM 초록집
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    • pp.135-137
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    • 2014
  • Excess enthalpy flame propagating an porous inert medium, which recirculate exhaust heat to the upstream cold mixture, is theoretically analyzed. Using the activation-energy asymptotics, the flame structure is divided into the thin reaction and the gas-phase preheat zone, as is traditionally done. Ahead and behind of the two, there exist an outer preheat zone, where heat is convectively transferred from solid to gas, and a downstream re-equilibrium zone, where thermal equilibrium between phases is established. Asymptotic solutions of species and energy equations in each zone are obtained and then matched to each other, and finally the mass burning rate is obtained as a function of the flame propagation velocity with respect to the solid phase and physical properties of gas and solid.

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고객 도착 정보를 이용한 서비스 차별화에 관한 점근적 분석 (Asymptotic Analysis on Service Differentiation with Customer Arrival Information)

  • 최기석
    • 한국경영과학회지
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    • 제33권2호
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    • pp.115-135
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    • 2008
  • An interesting problem in capacitated supply chains is how to guarantee customer service levels with limited resources. One of the common approaches to solve the problem is differentiating service depending on customer classes. High-priority customers receive a better service at the cost of low-priority customers' service level. One of common criteria to determine a customer's priority in practice is whether he has made a reservation before arrival or not. Customers with a reservation usually receive service based on the time the reservation was made. We examine the effect this advance information of customer arrival has on customer service levels. We show the trade-offs between the leadtime and other system characteristics such as the proportion of high-priority customers. when the service level is high. We also suggest how to differentiate service using the asymptotic ratio of the service levels for both types of customers.

일종의 일차 비선형 시간 지연 시스템을 위한 안정성 분석 방법 (A Stability Analysis Scheme for a Class of First-Order Nonlinear Time-Delay Systems)

  • 최준영
    • 제어로봇시스템학회논문지
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    • 제14권6호
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    • pp.554-557
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    • 2008
  • We analyze the stability property of a class of nonlinear time-delay systems with time-varying delays. We present a time-delay independent sufficient condition for the global asymptotic stability. In order to prove the sufficient condition, we exploit the inherent property of the considered systems instead of applying the Krasovskii or Razumikhin stability theory that may cause the mathematical difficulty of analysis. We prove the sufficient condition by constructing two sequences that represent the lower and upper bound variations of system state in time, and showing the two sequences converge to an identical point, which is the equilibrium point of the system. The simulation results illustrate the validity of the sufficient condition for the global asymptotic stability.