• 한국학교수학회논문집
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• 제14권1호
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• pp.101-122
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• 2011

본 논문은 테크놀로지를 활용한 영재교육에 대한 영재교사들의 인식을 조사하기 위하여, J 대학교 교육연수원에서 60시간의 영재교육 직무연수에 참여한 20명의 교사를 대상으로 테크놀로지를 활용한 영재교육에 대한 교사들의 인식을 조사 분석하였다. 테크놀로지를 활용한 영재교육에 대한 영재교사들의 인식을 분석한 결과 다음과 같은 결론을 얻었다. 첫째, 영재교사의 테크놀로지 활용 능력이 영재교사의 전문성 중 프로그램을 개발하는 능력과 영재에 대한 적합한 교수 학습 방법을 이해하고 적용하는 능력에 포함된 다. 둘째, 테크놀로지를 활용한 영재교육은 영재아들에게 창의적 문제 해결 능력과 사고력을 증진시키는데 도움을 준다. 셋째, 테크놀로지를 활용한 영재교육은 직관적 통찰, 정보의 조직화와 공간화/시각화 능력을 개발하는데 도움을 준다. 넷째, 테크놀로지를 활용한 영재교육은 영재아들에게 창의성의 구성요소 중 유창성, 융통성과 독창성 개발에 도움을 준다.

• 한국재난정보학회 논문집
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• 제11권3호
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• pp.413-420
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• 2015

본 연구에서는 농촌지역의 재난에 대한 우리나라 법제 현황을 분석하고 문제점을 파악하고자 하였다. 농촌지역은 지역의 특수성과 고유성이 도시와 비교하여 현저함에도 불구하고 선거전략의 일환으로 지역을 구분하는 등 제도적으로 고려받지 못한 점이 많다. 본 연구를 통하여 농촌지역의 재난에 보다 효과적이고 능동적으로 대처할 수 있는 문제를 농촌지역개발을 키워드로 분석하고, 법제도의 문제점과 그 해결책을 모색하였다.

• 대한수학회보
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• 제61권1호
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• pp.161-193
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• 2024

In this paper, we consider the asymptotic behavior of solutions for the partly dissipative reaction diffusion systems of the FitzHugh-Nagumo type with hereditary memory and a very large class of nonlinearities, which have no restriction on the upper growth of the nonlinearity. We first prove the existence and uniqueness of weak solutions to the initial boundary value problem for the above-mentioned model. Next, we investigate the existence of a uniform attractor of this problem, where the time-dependent forcing term h ∈ L²_b(ℝ; H^-1(ℝ^N)) is the only translation bounded instead of translation compact. Finally, we prove the regularity of the uniform attractor A, i.e., A is a bounded subset of H²(ℝ^N) × H¹(ℝ^N) × L²_µ(ℝ⁺, H²(ℝ^N)). The results in this paper will extend and improve some previously obtained results, which have not been studied before in the case of non-autonomous, exponential growth nonlinearity and contain memory kernels.

• Transactions on Control, Automation and Systems Engineering
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• 제4권2호
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• pp.130-139
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• 2002

In this paper, at first, we investigate existing algorithms for finding the minimum infinity-norm solution of consistent linear equations and then propose a new algorithm. The proposed algorithm is intended to includes the advantages of computational efficiency as well as geometric explicitness. As a practical application example, optimum trajectory planning for redundant robot manipulators is considered. Also, an efficient approach avoiding discontinuity in trajectory is proposed by resolving the non-uniqueness problem of minimum infinity-norm solution. To be specific, the proposed method for checking possible discontinuity does not need any other algorithms in checking the possibility of discontinuity while previous work needs specially designed checking courses. To show the usefulness of the proposed techniques, an example calculating minimum infinity-norm solution for comparing the computational efficiency as well as the trajectory planning for a redundant robot manipulator are included.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제12권4호
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• pp.271-287
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• 2008

This paper deals with American call and put options. Determining the fair price and the free boundary of an American option is a very difficult problem since they depends on each other. This paper presents numerical algorithms of finite element method based on the three-level scheme to compute both the price and the free boundary. One algorithm is designed for American call options and the other one for American put options. These algorithms are formulated on the system of the Jamshidian equation for the option price and the free boundary. Here, the Jamshidian equation is of a kind of the nonhomogeneous Black-Scholes equations. We prove the existence and uniqueness of the numerical solution by the Lax-Milgram lemma and carried out extensive numerical experiments to compare with various methods.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 2008년도 정기 학술대회
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• pp.33-38
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• 2008

For the propagation of elastic waves in unbounded domains, absorbing boundary conditions at the fictitious numerical boundaries have been proposed. Paraxial boundary conditions(PBCs) which are kinds of absorbing boundary conditions based on paraxial approximations of the scalar and elastic wave equations not only lead to well-posed problem but also are stable and computationally inexpensive. But the complex mathematical forms of PBCs with partial derivatives complicate the application of those to finite element analysis. In this paper a penalty functional is newly proposed for applying PBCs into finite element analysis and the existence and uniqueness of the extremum of the proposed functional is demonstrated. The numerical verification of the efficiency is carried out through comparing PBCs with a viscous boundary condition.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제12권3호
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• pp.161-169
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• 2008

We investigate the existence of solutions u(x, t) for perturbations of the elliptic system with Dirichlet boundary condition $$\array {L{\xi}+{\mu}g({\xi}+2{\eta})=f\;in\;{\Omega}}\\{L{\eta}+{\nu}g({\xi}+2{\eta})=f\;in\;{\Omega}}$$ (0.1) where $g(u)=Bu^+-Au^-$, $u^+=max\{u,\;0\}$, $u^-=max\{-u,\;0\}$, ${\mu}$, ${\nu}$ are nonzero constants and the nonlinearity $({\mu}+2{\nu})g(u)$ crosses the eigenvalues of the elliptic operator L.

• 대한산업공학회지
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• 제20권1호
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• pp.99-112
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• 1994

This paper describe the development of a systematic method of slicing solid parts based on a data structure called Sliced Profile Data Structure(SPDS). SPDS is an augmented polygon data structure that allows multiple layers of sliced profiles to be connected together. The method consists of five steps: (1) Selection of slicing directions, (2) Determination of slicing levels, (3) Creation of sliced profiles, (4) Connection of sliced profiles, and (5) Refinement. The presented method is aimed at enhancing the applicability of CSG for manufacturing by overcoming the problem of non-uniqueness and global nature. The SPDS-based method of feature extraction is suitable for recognizing broad scope of features with detailed information. The method is also suitable for identifying the global relationships among features and is capable of incorporating the context dependency of feature extraction.

• Korean Journal of Mathematics
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• 제15권2호
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• pp.149-165
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• 2007

We investigate the existence of multiple nontrivial solutions $u(x,t)$ for a perturbation $b[({\xi}-{\eta}+2)^+-2]$ of the hyperbolic system with Dirichlet boundary condition $$(0.1)\;L{\xi}={\mu}[({\xi}-{\eta}+2)^+-2]\;in\;({-{\frac{{\pi}}{2}}},{\frac{{\pi}}{2}}){\times}\mathbb{R},\\L{\eta}={\nu}[({\xi}-{\eta}+2)^+-2]\;in\;({-{\frac{{\pi}}{2}}},{\frac{{\pi}}{2}}){\times}\mathbb{R},$$, where $u^+$=max{u,o}, ${\mu}$, ${\nu}$ are nonzero constants. Here L is the wave operator in $\mathbb{R}^2$ and the nonlinearity $({\mu}-{\nu})[({\xi}-{\eta}+2)^+-2]$ crosses the eigenvalues of the wave operator.

• 대한수학회보
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• 제51권1호
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• pp.189-206
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• 2014

In this paper, we prove the global existence and uniqueness of the dissipative Kirchhoff equation $$u_{tt}-M({\parallel}{\nabla}u{\parallel}^2){\triangle}u+{\alpha}u_t+f(u)=0\;in\;{\Omega}{\times}[0,{\infty}),\\u(x,t)=0\;on\;{\Gamma}_1{\times}[0,{\infty}),\\{\frac{{\partial}u}{\partial{\nu}}}+g(u_t)=0\;on\;{\Gamma}_0{\times}[0,{\infty}),\\u(x,0)=u_0,u_t(x,0)=u_1\;in\;{\Omega}$$ with nonlinear boundary damping by Galerkin approximation benefited from the ideas of Zhang et al. [33]. Furthermore,we overcome some difficulties due to the presence of nonlinear terms $M({\parallel}{\nabla}u{\parallel}^2)$ and $g(u_t)$ by introducing a new variables and we can transform the boundary value problem into an equivalent one with zero initial data by argument of compacity and monotonicity.