• 충청수학회지
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• 제25권3호
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• pp.563-577
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• 2012

This paper presents a moving mesh method for solving the hyperbolic conservation laws. Moving mesh method consists of two independent parts: PDE evolution and mesh- redistribution. We compute numerical solution of shallow water equation by using moving mesh methods. In comparison with computations on a fixed grid, the moving mesh method appears more accurate resolution of discontinuities.

• 대한산업공학회지
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• 제25권3호
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• pp.290-297
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• 1999

In interior point methods for linear programming, we must solve a linear system with a symmetric positive definite matrix at every iteration, and Cholesky factorization is generally used to solve it. Therefore, if Cholesky factorization is not done successfully, many iterations are needed to find the optimal solution or we can not find it. We studied methods for improving the numerical stability of Cholesky factorization and the accuracy of the solution of the linear system.

• Korean Journal of Mathematics
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• 제13권2호
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• pp.161-176
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• 2005

We consider a model of population dynamics whose mortality function is unbounded. We note that the regularity of the solution depends on the growth rate of the mortality near the maximum age. We propose Gauss-Legendre methods along the characteristics to approximate the solution when the solution is smooth enough. It is proven that the scheme is convergent at fourth-order rate in the maximum norm. We also propose discontinuous Galerkin finite element methods to approximate the solution which is not smooth enough. The stability of the method is discussed. Several numerical examples are presented.

• 소음진동
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• 제7권5호
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• pp.773-780
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• 1997

Using Generalized Inverse Method presented by Udwadia and Kalaba in 1992, we can obtain equations to exactly describe the motion of constrained systems. When the differential equations are numerically integrated by any numerical integration scheme, the numerical results are generally found to veer away from satisfying constraint equations. Thus, this paper deals with the numerical integration of the differential equations describing constrained systems. Based on Baumgarte method, we propose numerical methods for reducing the errors in the satisfaction of the constraints.

• Journal of the Korean Wood Science and Technology
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• 제36권3호
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• pp.24-29
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• 2008

수치해석 모델을 적용하여 다중 볼트 접합부의 거동을 해석하였다. 기본 모델로 축력-휨 요소를 가정하고 해석을 실시하였으며, 프레임재의 효과와 철물의 효과를 구분하여 해석을 실시하였다. 기존의 해석적인 방법은 볼트의 개수가 2개까지만으로 제한될 경우는 어느 정도 정확도를 보여 줄 수 있어서 많은 시간이 소요되는 수치해석적 방법보다 장점이 있을 수 있다. 하지만 현실적으로 사용되고 있는 현장의 조건은 그 이상의 볼트를 사용하고 있는 실정이다. 또한 현장에서 사용되고 있는 볼트의 배치 및 배열 형태를 기존의 해석적 방법을 적용하여 거동 분석을 실시한다는 것은 불가능하다. 이러한 현실 조건을 고려하여 볼트 접합부의 정확한 거동해석을 실시하기 위해서는 수치해석적 방법을 적용하는 방법 이외에는 대안이 없다. 다양한 다중 볼트 접합부에 대해 수치해석 모델을 적용한 결과 광범위하게 사용되고 있는 항복모델 등의 기존의 경험적 해석방법에 비해 현실적인 접합부 여건 반영이 수월하고 정확성에 있어서 우수함을 볼 수 있었다.

• 한국항공운항학회지
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• 제8권1호
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• pp.83-95
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• 2000

Lift, drag, pitching moment, what we call longitudinal aerodynamic coefficient, effects airplanes directly, so the method to find the accurate result quickly is an important factor from the beginning of the aircraft design. There are different ways to find aerodynamic coefficient such as empirical methods, numerical analysis methods, wind tunnel tests, and finally through an actual flight tests, but choosing the best methods depends on the due date or the cost. The accuracy varies on each design level, but all this methods have relationship to complement and balance each other, so by combining proper methods, the best result can be obtained. At this paper, empirical methods and numerical analysis method were experimented, compared, and reviewed to find the availability of each method and by combining two methods accurate result was obtained. So, we applied this methods to predict the aerodynamic coefficient on cruise configuration aircraft, and was able to obtain more accurate result on the low speed longitudinal aerodynamic coefficient. Also by watching there result, we are able to predict the errors before the actual wind tunnel test.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제26권2호
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• pp.155-176
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• 2012

미분적분학에서 정적분의 수치계산법에 대한 팀프로젝트(Team Project) 문제를 제시한다. 제시한 팀프로젝트 문제는 흉부 CT 사진을 통해서 폐의 부피를 구하는 것으로 특별히 의학을 공부하는 학생들에게 흥미를 유발할 수 있는 전문화 및 특성화된 미분적분학(정적분의 수치계산법) 수업이 될 것이다. 또한 프로젝트 해결 과정에서 다양한 테크놀로지(MATLAB, MATHEMATICA, MS-Excel)를 도입한다.

• 한국철도학회:학술대회논문집
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• 한국철도학회 2007년도 추계학술대회 논문집
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• pp.585-594
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• 2007

This paper presents the methods which estimate the influence of ground subsidence and the stability of buildings by tunnel excavation in urban area. First, we study the behaviour of ground subsidence using neural network and numerical method. And we analyze the characteristic of both methods. Using the both methods, we evaluate the stability of buildings by subway tunnel excavation and we compare the results of the neural network and numerical analysis.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제22권2호
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• pp.125-136
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• 2018

In this article, a homotopy perturbation transform method (HPTM) and the Laplace transform combined with Taylor expansion method are presented for solving Volterra integral equations with a convolution kernel. The (HPTM) is innovative in Laplace transform algorithm and makes the calculation much simpler while in the Laplace transform and Taylor expansion method we first convert the integral equation to an algebraic equation using Laplace transform then we find its numerical inversion by power series. The numerical solution obtained by the proposed methods indicate that the approaches are easy computationally and its implementation very attractive. The methods are described and numerical examples are given to illustrate its accuracy and stability.

• 한국전산유체공학회:학술대회논문집
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• 한국전산유체공학회 2008년도 춘계학술대회논문집
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• pp.551-554
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• 2008

In this study, numerical methods for the code development of the interior ballistics have been conducted. Mathematical models and numerical methods for the analysis technique of the granular solid propellants have been investigated. As the results of applying the methods of errors have been generated by calculation for the specific surface area of the granular solid propellants. To remove these error, the developed Eulerian-Larangian method for multiphase flows has been suggested.