• Kyungpook Mathematical Journal
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• 제61권3호
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• pp.591-612
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• 2021

In this paper, a uniformly convergent numerical scheme is designed for solving singularly perturbed reaction-diffusion problems. The problem is converted to an equivalent weak form and then a Galerkin finite element method is used on a piecewise uniform Shishkin mesh with linear basis functions. The convergence of the developed scheme is proved and it is shown to be almost fourth order uniformly convergent in the maximum norm. To exhibit the applicability of the scheme, model examples are considered and solved for different values of a singular perturbation parameter ε and mesh elements. The proposed scheme approximates the exact solution very well.

• 대한수학회지
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• 제19권2호
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• pp.111-116
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• 1983

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 1997년도 한국자동제어학술회의논문집; 한국전력공사 서울연수원; 17-18 Oct. 1997
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• pp.36-39
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• 1997

In this paper, we described an approach to design of precision optical system for visual inspection of solder joint defects of SMC(surface mount components) on PCBs(Printed Circuit Board). The illumination system, consisting of three tiered LED lamps and one main camera and four side view camera, is implemented to generated iso-contour on the solder joint according to gradient of the soldered surface. We analyze LED design parameter such as incident angle, diameter of LED ring, and so on to acquire uniform illumination.

• Journal of the Korean Data and Information Science Society
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• 제17권2호
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• pp.507-513
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• 2006

We shall consider an inference of the reliability and an estimation of the right-tail probability in an exponentiated uniform distribution. And we shall compare numerically efficiencies for proposed estimators of the scale parameter and right-tail probability in the small sample sizes.

• Communications for Statistical Applications and Methods
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• 제6권1호
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• pp.319-326
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• 1999

We shall derive several estimators for the minimum and maximum of two generalized uniform scale parameters with a common known shape parameter when the order of the scales is unknown and sample sizes are equal. Also we shall obtain the biases and mean squared errors for the proposed several estimators and compare numerically performances for the preposed several estimators.

• Journal of applied mathematics & informatics
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• 제22권1_2호
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• pp.317-329
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• 2006

In this paper, a singularly perturbed ordinary differential equation with non-smooth data is considered. The numerical method is generated by means of a Petrov-Galerkin finite element method with the piecewise-exponential test function and the piecewise-linear trial function. At the discontinuous point of the coefficient, a special technique is used. The method is shown to be first-order accurate and singular perturbation parameter uniform convergence. Finally, numerical results are presented, which are in agreement with theoretical results.

• Journal of applied mathematics & informatics
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• 제27권3_4호
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• pp.517-529
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• 2009

In this paper, a singularly perturbed reaction-convection-diffusion problem with two parameters is considered. A parameter-uniform error bound for the numerical derivative is derived. The numerical method considered here is a standard finite difference scheme on piecewise-uniform Shishkin mesh, which is fitted to both boundary and initial layers. Numerical results are provided to illustrate the theoretical results.

• Communications for Statistical Applications and Methods
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• 제2권2호
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• pp.115-125
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• 1995

This paper deals with the Bayesian estimation for the NLAR(1) model with Laplacian marginals. Assuming the independent uniform priors for two parameters of the NLAT(1) model, the griddy Gbbs sampler by Ritter and Tanner(1992) is used to obtain the Bayesian estimates. Random numbers generated form the uniform priors ate used as the grids for each parameter. Some simulations are conducted and compared with the maximum likelihood estimation result.

• Journal of the Korean Data and Information Science Society
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• 제17권3호
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• pp.1021-1028
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• 2006

We shall propose ML, ordinary jackknife and biased reducing estimators of the parameter in the right truncated exponential distribution with an unidentified uniform outlier when the truncated point is unknown and their biases and MSE's are compared numerically each other in the small sample sizes.

• 한국음향학회지
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• 제38권2호
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• pp.145-153
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• 2019

적응빔형성 기법은 부엽을 줄이고 약한 신호에 대한 탐지 성능을 향상시킨다. MVDR(Minimum Variance Distortionless Response)과 같은 일반적인 적응빔형성 기법은 설계한 가중벡터와 실제 입사신호의 조향벡터의 불일치에 대해 매우 민감하다. 또한 센서 수가 많은 어레이를 이용하여 광대역 적응빔형성을 할 경우 공분산행렬을 산출하기 위해 긴 관측시간과 많은 연산량이 요구된다. 본 논문은 센서 수가 많은 수동 선배열 소나의 광대역 적응빔형성 성능향상 및 안정성을 위해 WBRCB(Wideband Robust Capon Beamforming)를 적용하였다. 불일치 요소에 강인한 WBRCB 구현을 위해 다양한 불일치 요소를 반영하여 최적의 불일치 파라미터를 도출하였다. 도출된 파라미터를 반영한 WBRCB 기법을 시뮬레이션 및 실험데이터에 적용하여 수동 선배열 소나의 광대역 적응빔형성 성능 향상을 검증하였다.