• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제15권4호
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• pp.267-275
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• 2011

This paper proposes a new quickly convergent pattern search quasi-Newton algorithm that employs the multi-step version of the Symmetric Rank One (SRI). The new algorithm works on the factorizations of the inverse Hessian approximations to make available a sequence of convergent positive bases required by the pattern search process. The algorithm, in principle, resembles that developed in [1] with multi-step methods dominating the dervation and with numerical improvements incurred, as shown by the numerical results presented herein.

• Kyungpook Mathematical Journal
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• 제50권4호
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• pp.565-574
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• 2010

In this paper we introduce the concept of lacunary statistical and lacunary strongly convergence of generalized difference sequence of fuzzy real numbers. We prove some inclusion relations and also study some of their properties.

• Kyungpook Mathematical Journal
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• 제60권3호
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• pp.629-645
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• 2020

A uniformly convergent numerical method is developed for solving singularly perturbed 1-D parabolic convection-diffusion problems. The developed method applies a non-standard finite difference method for the spatial derivative discretization and uses the implicit Runge-Kutta method for the semi-discrete scheme. The convergence of the method is analyzed, and it is shown to be first order convergent. To validate the applicability of the proposed method two model examples are considered and solved for different perturbation parameters and mesh sizes. The numerical and experimental results agree well with the theoretical findings.

• 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.

• International Journal of Aeronautical and Space Sciences
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• 제18권4호
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• pp.697-708
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• 2017

The complex battlefield environment makes it difficult to intercept maneuvering targets for guided missiles. In this paper, a finite-time convergent (FTC) guidance law based on the second-order sliding mode (SOSM) control theory is proposed to achieve the requirements of stability, accuracy and robustness. More specifically, a second-order sliding mode observer (SMOB) is used to estimate and compensate for the total disturbance of the controlled system, while the target acceleration is extracted from the line-of-sight (LOS) angle measurement. The proposed guidance law can drive the LOS angular rate converge to zero in a finite time, which means that the missile will accurately intercept the target. Numerical simulations with some comparisons are performed to demonstrate the superiority of the proposed guidance law.

• 한국기술혁신학회:학술대회논문집
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• 한국기술혁신학회 2014년도 추계 학술대회 논문집
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• pp.238-256
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• 2014

• 한국전자현미경학회:학술대회논문집
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• 한국현미경학회 2004년도 제35차 추계학술대회 및 제2회 HVEM 이용자 워크샵
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• pp.133-135
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• 2004

• Elastomers and Composites
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• 제48권4호
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• pp.263-268
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• 2013

본 연구에서는 다리 구조의 메탈로센 촉매인 rac-$Et[Ind]_2ZrCl_2$를 이용하여 새로운 구조의 poly(ethylene-ter-1-hexene-ter-divinylbenzene) 삼원공중합체를 제조하였다. 공단량체인 1-hexene이 중합에 미치는 효과에 관한 연구를 수행하였다. 여러 가지 중합 조건의 영향을 살펴보았는데 공촉매/촉매 몰비가 3,000일 때, 촉매활성도는 8,000이 넘는 매우 높은 수준의 활성도를 보여주었다. 또한, 중합 시간에 따라 중량 평균 분자량이 일정 수준까지 증가하는 경향을 나타내었고, 중합시간이 50분일 때는 무정형 상태에 가까워지는 것을 확인하였다. 삼원공중합체의 중량 평균 분자량은 110,000-200,000, 밀도는 $0.85-0.89g/cm^3$ 수준이었다. 또한, 삼원 공중합체의 열적 성질과 구조를 확인하였다.

• 디지털융복합연구
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• 제14권5호
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• pp.85-93
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• 2016

지식융합사회에서 요구되는 통섭적 사고력, 정보 및 지식의 재창출 능력과 문제해결 능력 함양을 위해 융복합 교육을 필요로 한다. 이에 본 연구에서는 통섭적 지식을 기반으로 하는 증강현실과 예술의 융복합 수업모형을 개발하고자 한다. 수업모형은 기존의 ADDIE 모형을 변형하여 수업에 맞게 모형을 설계하고 수업모형의 타당성을 검증하기 위하여 실제 수업을 개설하여 운영하였다. 운영결과로 학습자들의 만족도가 높게 나타났으며 학습자들의 전공과 연계된 분야에 응용할 수 있는 능력이 함양되는 것으로 나타났다. 증강현실 매체의 특성은 학습자가 스스로의 의도에 의해 학습상황에 주도적으로 개입하게 되는 적극적 상호작용을 유도함으로써, 새로운 현상을 해석하고 필요한 지식을 융합할 수 있는 능력을 가능하게 됨을 알 수 있었다. 따라서 증강현실과 예술의 융복합 수업모형을 개발하여 예술과 과학기술간의 융복합적 사례에 대한 인식과 이해의 심화교육을 통해 보다 유연하고 창의적인 사고와 안목을 갖춘 창의적 융복합 인재 양성에 기여하고자 한다. 향후 다양한 측면에서의 타당성 검증과 여러 교과목과의 융합에 대한 연구를 과제로 남겨둔다.

• 한국해양공학회지
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• 제38권2호
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• pp.64-73
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• 2024

Oil spills pose significant threats to marine ecosystems, human health, socioeconomic aspects, and coastal communities. Accurate real-time predictions of oil slick transport along coastlines are paramount for quick preparedness and response efforts. This study used an open-source OpenOil numerical model to simulate the fate and trajectories of oil slicks released during the 2007 Hebei Spirit accident along the Korean coasts. Six combinations of input parameters, derived from a five-day met-ocean dataset incorporating various hydrodynamic, meteorological, and wave models, were investigated to determine the input variables that lead to the most reasonable results. The predictive performance of each combination was evaluated quantitatively by comparing the dimensions and matching rates between the simulated and observed oil slicks extracted from synthetic aperture radar (SAR) data on the ocean surface. The results show that the combination incorporating the Hybrid Coordinate Ocean Model (HYCOM) for hydrodynamic parameters exhibited more substantial agreement with the observed spill areas than Copernicus Marine Environment Monitoring Service (CMEMS), yielding up to 88% and 53% similarity, respectively, during a more than four-day oil transportation near Taean coasts. This study underscores the importance of integrating high-resolution met-ocean models into oil spill modeling efforts to enhance the predictive accuracy regarding oil spill dynamics and weathering processes.