• 한국해안·해양공학회논문집
• /
• 제22권3호
• /
• pp.163-170
• /
• 2010

평면파 근사식에 기초한 지형에 의한 파랑변형 모형인 산란체법과 변환행렬법을 비교하여 특성을 분석하였다. 산란체법의 결과가 기존 엄밀해에 보다 근접하고 내재한 물리현상을 보다 명확히 설명하는 것으로 평가된다. 이들은 해석해로 계산이 빠르고 용이하며 지형이 비교적 단순한 경우에는 상당한 정밀도를 보인다.

• 전기의세계
• /
• 제21권3호
• /
• pp.48-52
• /
• 1972

The application of pontryagin's Maximum Principle to the optimal control eventually leads to the problem of solving the two point boundary value problem. Most of problems have been related to their own special factors, therfore it is very hard to recommend the best method of deriving their optimal solution among various methods, such as iterative Runge Kutta, analog computer, gradient method, finite difference and successive approximation by piece-wise linearization. The gradient method has been applied to the optimal control of two point boundary value problem in the power systems. The most important thing is to set up some objective function of which the initial value is the function of terminal point. The next procedure is to find out any global minimum value from the objective function which is approaching the zero by means of gradient projection. The algorithm required for this approach in the relevant differential equations by use of the Runge Kutta Method for the computation has been established. The usefulness of this approach is also verified by solving some examples in the paper.

• Nonlinear Functional Analysis and Applications
• /
• 제26권3호
• /
• pp.451-474
• /
• 2021

In this paper, we investigate a hybrid algorithm for finding zeros of the sum of maximal monotone operators and Lipschitz continuous monotone operators which is also a common fixed point problem for finite family of relatively quasi-nonexpansive mappings and split feasibility problem in uniformly convex real Banach spaces which are also uniformly smooth. The iterative algorithm employed in this paper is design in such a way that it does not require prior knowledge of operator norm. We prove a strong convergence result for approximating the solutions of the aforementioned problems and give applications of our main result to minimization problem and convexly constrained linear inverse problem.

• 지구물리와물리탐사
• /
• 제2권2호
• /
• pp.86-95
• /
• 1999

이 연구에서는 적분방정식의 근사해를 이용한 3차원 모델링 알고리듬을 구성하고 그 효율성을 분석하였다. 전기장 적분방정식에 확장 Born 근사(extended Born approximation)를 적용시켜 알고리듬을 구성하였으며 모델링의 계산 속도를 향상시키기 위하여 Green 텐서 적분을 공간 주파수 영역에서 수행하였다. 이 방법은 연속 함수로 표현되는 전기전도도를 갖는 이상체에 대한 모델 계산을 가능하게 하고, Green 텐서 적분시 발생하는 특이치 문제가 발생하지 않는 장점이 있다 얇은 전도체에 대한 모델링 계산 결과를 적분방정식의 해와 비교하여 알고리듬의 타당성을 검증하였다. 전기전도도 물성차, 사용 송신원의 주파수에 따른 개발된 알고리듬의 분석을 통하여 물성차 1:16 정도, 사용주파수는 100 Hz-100 kHz까지 정확한 결과를 얻었다. 그러나, 확장 Born 근사는 송신원과 모델의 상대적인 위치에 따라 오차를 나타내었다. 한편, 연속적인 전기전도도 함수를 갖는 모델에 대한 이 알고리듬의 적용성를 알아보기 위하여 서로 다른 전기전도도를 갖는 두 이상체가 접합한 모델에 대하여 적분방정식의 해와 비교하였으며 양호한 결과를 나타내었다.

• Journal of applied mathematics & informatics
• /
• 제41권3호
• /
• pp.469-485
• /
• 2023

In this paper, we investigate the Hyers-Ulam-Rassias stability for a Drygas functional equation g(u + v) + g(u - v) = 2g(u) + g(v) + g(-v) in the setting of quasi-Banach space using fixed point approach. Also, we give general results on hyperstability of a Drygas functional equation. The results obtain in this paper extend various previously known results in the setting of quasi-Banach space. Some examples are also illustrated.

• 대한수학회지
• /
• 제45권3호
• /
• pp.631-644
• /
• 2008

In this paper, we present a new method for solving a nonlinear two-point boundary value problem with finitely many singularities. Its exact solution is represented in the form of series in the reproducing kernel space. In the mean time, the n-term approximation $u_n(x)$ to the exact solution u(x) is obtained and is proved to converge to the exact solution. Some numerical examples are studied to demonstrate the accuracy of the present method. Results obtained by the method are compared with the exact solution of each example and are found to be in good agreement with each other.

• 대한방사선치료학회지
• /
• 제3권1호
• /
• pp.27-36
• /
• 1989

In order to calculate the dose on each interest point in five types of irregularly shaped fields used commonly in radiotherapy, the tissue-air ratios (TAR) in these fields for Go-60 gamma radiation were calculated using the newly devised SAR-chart. The TARs calculated from newly method of using the SAR-chart, computer method and approximation method at the interest point were compared to the TARs obtained from measurement. The result are as follows; In case of the interest points on central axis the calculated TARs in irregularly shaped fields by the above mentioned methods were well agreed within the error of $1\%$, whereas for the interest points on off-axis the calculated TARs were resulted in the maximum errors of $2.4\%,\;2.3\%$ and $8.8\%$ respectively. From these results, the accuracy of calculation method of using the SAR-chart was comfirmed.

• Journal of Computational Design and Engineering
• /
• 제2권4호
• /
• pp.218-232
• /
• 2015

Piecewise linear (G01-based) tool paths generated by CAM systems lack $G_1$ and $G_2$ continuity. The discontinuity causes vibration and unnecessary hesitation during machining. To ensure efficient high-speed machining, a method to improve the continuity of the tool paths is required, such as B-spline fitting that approximates G01 paths with B-spline curves. Conventional B-spline fitting approaches cannot be directly used for tool path B-spline fitting, because they have shortages such as numerical instability, lack of chord error constraint, and lack of assurance of a usable result. Progressive and Iterative Approximation for Least Squares (LSPIA) is an efficient method for data fitting that solves the numerical instability problem. However, it does not consider chord errors and needs more work to ensure ironclad results for commercial applications. In this paper, we use LSPIA method incorporating Energy term (ELSPIA) to avoid the numerical instability, and lower chord errors by using stretching energy term. We implement several algorithm improvements, including (1) an improved technique for initial control point determination over Dominant Point Method, (2) an algorithm that updates foot point parameters as needed, (3) analysis of the degrees of freedom of control points to insert new control points only when needed, (4) chord error refinement using a similar ELSPIA method with the above enhancements. The proposed approach can generate a shape-preserving B-spline curve. Experiments with data analysis and machining tests are presented for verification of quality and efficiency. Comparisons with other known solutions are included to evaluate the worthiness of the proposed solution.

• 천문학회보
• /
• 제37권2호
• /
• pp.77.2-77.2
• /
• 2012

We have studied the physical properties of X-ray point sources in galaxy clusters for years based on the archival observations using the most sophisticated space X-ray observatory, Chandra X-ray Observatory. Because the ultimate goal of the study is comparing the physical properties of X-ray point sources found in galaxy clusters to those in X-ray blank fields; blank fields are the regions in the sky where any noticeable cosmic diffuse X-ray emission is not observed, an important key issue regarding this study is picking out the point sources related with galaxy clusters. However we do not have red-shift information of all the X-ray point sources. Therefore as a first order approximation we will consider the point sources with smaller projected cluster-centric distance than the adopted size of galaxy clusters. As a first step of this study we perform X-ray surface photometry of ~600 galaxy clusters based on ~800 Chandra ACIS observations. We carefully investigate the radial structures of diffuse X-ray emission in 3 different energy bands. Based on the highly accurate surface photometry we determine the characteristic size of diffuse X-ray emission (i.e., the boundary of X-ray emission). We also investigate the cosmological evolution of this characteristic size of galaxy clusters. General discussion regarding the two dimensional morphology of galaxy clusters will be presented.

• 한국정보통신학회논문지
• /
• 제10권3호
• /
• pp.459-466
• /
• 2006

열성능 평가를 위한 수치해석에서는 온도, 압력, 건도, 체적, 엔탈피, 엔트로피 등의 열역학적 성질들의 수치값이 필요하다. 그러나 이러한 성질들을 포함하고 있는 증기표를 그대로 사용할 수 없기 때문에, 효과적으로 모델링하여야 한다. 이러한 관점에서 함수근사 특성을 가진 신경회로망을 하나의 대안으로 검토하였다. 신경 회로망은 포화증기 영역과 과열증기 영역에 대해서 따로 구성하였다. 포화증기 영역에 대해서는 하나의 입력으로 7개의 출력을 얻을 수 있도록 하였으며, 각각 10개와 20개의 노드를 가진 은닉층을 구성 하였다. 과열증기 영역에 대해서는 2개의 입력으로 3개의 출력을 얻을 수 있도록 하였으며, 각각 15개와 25개의 노드를 가진 은닉층을 구성하였다. 제안된 모델은 온도, 엔탈피, 엔트로피의 백분율오차가 대부분 ${\pm}0.005%$, 압력이나 비체적의 백분율오차도 대부분 ${\pm}0.025%$ 범위 내로 수렴시킬 수 있었다. 이 성공적인 결과로부터 증기 표를 함수근사하는데 있어서 신경회로망이 아주 강력한 수단이 될 수 있음을 확인할 수 있었다.