• Korean Journal of Mathematics
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• 제4권2호
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• pp.179-193
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• 1996

This paper is concerned with the penalized stationary incompressible Navier-Stokes system with the inhomogeneous Dirichlet boundary condition on the part of the boundary. By taking a generalized velocity space on which the homogeneous essential boundary condition is imposed and corresponding trace space on the boundary, we pose the system to the weak form which the stress force is involved. We show the existence and convergence of the penalized system in the regular branch by extending the div-stability condition.

• 대한교통학회지
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• 제23권2호
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• pp.143-150
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• 2005

통행분포의 예측과정에서 장래 O-D표는 행의 합 및 열의 합이 통행발생 예측단계에서 예측된 존의 유출 통행량 및 유입 통행량에 근접해야 한다는 제약조건을 만족시키기 위하여 수렴계산을 하게 된다. 기존 수렴계산 방법들은 통행분포 예측모형에 의해 예측된 존간 통행분포량이 수렴계산과정에서 상당히 달라질 수 있고, 그 결과로, 예측된 존간 통행분포패터의 변형을 가져올 수 있다. 본 논문에서는 이와 같은 문제점을 해결하고자, 새로운 수렴계산방법을 개발하였다. 기존 수렴계산 방법들이 O-D표의 행의 합과 유출 통행량, 그리고 열의 합과 유입통행량을 근접시키기 위하여 비율로써 행과 열을 순차적으로 반복하면서 수렴계산을 행하는 것과 달리, 개발된 방법은 총 통행량을 기준으로 유출통행량, 유입통행량과의 차를 가중평균으로써 최소화시키는 수렴계산 특성을 갖는다. 개발된 수렴계산 방법을 38개 존의 실제 O-D표를 이용하여 현재까지 가장 많이 사용되어온 프레타법 및 퍼니스법과 비교, 검증하였으며, 검증결과 개발된 방법은 제약조건을 충족시킴과 동시에 통행분포 예측모형으로부터 예측된 존간 통행분포량과의 차가 다른 방법에 비해 최소화 되어 유용한 거승로 증명되었다.

• Journal of applied mathematics & informatics
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• 제31권3_4호
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• pp.373-378
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• 2013

In this paper, we consider two kinds of the Levenberg-Marquardt method for solve a system of nonlinear equations. We use line search on every iteration to guarantee that the Levenberg-Marquardt methods are globally convergent. Under mild conditions, we prove that while the de- scent condition can be satisfied at the iteration of the Levenberg-Marquardt method, the global convergence of the method can be established.

• 대한수학회논문집
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• 제22권1호
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• pp.137-143
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• 2007

In this paper, a Berstein-Hoeffding type inequality is established for linearly negative quadrant dependent random variables. A condition is given for almost sure convergence and the associated rate of convergence is specified.

• 통상정보연구
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• 제6권3호
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• pp.19-40
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• 2004

The purpose of this paper is to analyze the present condition and business convergence of TV home shopping markets. This study is focused on the current situation and promotion plans of TV home shopping markets to make it better. This thesis shows the distribution characteristic and circumstances of korean distribution market and share of market. Using analysis data, the conclusion of thesis is that TV home shopping company will increase their business sector by appling T-commerce under the Ubiqutious era.

• 대한수학회보
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• 제49권3호
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• pp.495-510
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• 2012

Let $X_1$, $X_2$,${\ldots}$, $X_n$ be a sequence of independent and identically distributed random variables with common distribution function $F$. Convergence rates for the moments of extremes are studied by virtue of second order regularly conditions. A unified treatment is also considered under second order von Mises conditions. Some examples are given to illustrate the results.

• Communications for Statistical Applications and Methods
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• 제12권2호
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• pp.275-283
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• 2005

In this paper, we give a sufficient condition for convergence in probability of weighted sums of convex-compactly uniformly integrable fuzzy random variables. As a result, we obtain weak law of large numbers for weighted sums of convexly tight fuzzy random variables.

• 대한수학회보
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• 제61권2호
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• pp.479-488
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• 2024

Convergence to a steady state in the long term limit is established for global weak solutions to a chemotaxis model with degenerate local sensing and consumption, when the motility function is C¹-smooth on [0, ∞), vanishes at zero, and is positive on (0, ∞). A condition excluding that the large time limit is spatially homogeneous is also provided. These results extend previous ones derived for motility functions vanishing algebraically at zero and rely on a completely different approach.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제18권1호
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• pp.51-60
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• 2014

The Shortley-Weller method is a basic finite difference method for solving the Poisson equation with Dirichlet boundary condition. In this article, we review the analysis for supra-convergence of the Shortley-Weller method. Though consistency error is first order accurate at some locations, the convergence order is globally second order. We call this increase of the order of accuracy, supra-convergence. Our review is not a simple copy but serves a basic foundation to go toward yet undiscovered analysis for another supra-convergence: we present a partial result for supra-convergence for the gradient of solution.

• Journal of applied mathematics & informatics
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• 제16권1_2호
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• pp.1-17
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• 2004

The famous Newton-Kantorovich hypothesis has been used for a long time as a sufficient condition for the convergence of Newton method to a solution of an equation in connection with the Lipschitz continuity of the Frechet-derivative of the operator involved. Using Lipschitz and center-Lipschitz conditions we show that the Newton-Kantorovich hypothesis is weakened. The error bounds obtained under our semilocal convergence result are finer and the information on the location of the solution more precise than the corresponding ones given by the dominating Newton-Kantorovich theorem, and under the same hypotheses/computational cost, since the evaluation of the Lipschitz also requires the evaluation of the center-Lipschitz constant. In the case of local convergence we obtain a larger convergence radius than before. This observation is important in computational mathematics and can be used in connection to projection methods and in the construction of optimum mesh independence refinement strategies.