• 전기학회논문지
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• 제62권4호
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• pp.489-494
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• 2013

In analysis of power transformer loss using calculation of magnetic field, Finite element method is commonly used. When using this method, calculation of magnetic field needs the very large number of elements and the performance of common work station is not sufficient to calculate the magnetic fields. In addition, the definition of boundary conditions may arise. However, When using Integral equation method, only ferromagnetic materials need to be modeled, since the domain is infinite. All the space in which the primary and secondary sources exist is regarded as free(${\mu}={\mu}_0$).

• Journal of applied mathematics & informatics
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• 제5권2호
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• pp.293-300
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• 1998

The numerical method is used to solve the Fredholm integral equation of the second kind with weak singular kernels using the Toeplitz matrices. The solution has a computing time requir-ment of O(N2) where 2N+1 is the number of discretization points used. Also the error estimate is computed. Some numerical Exam-ples are computed using the Mathcad package.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제4권2호
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• pp.85-97
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• 2000

A quadrature rule for the solution of Cauchy singular integral equation is constructed and investigated. This method to calculate numerically singular integrals uses classical Jacobi quadratures adopting Hunter's method. The proposed method is convergent under a reasonable assumption on the smoothness of the solution.

• 한국전자파학회논문지
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• 제19권4호
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• pp.427-435
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• 2008

본 논문에서는 3차원 임의 형태 도체 구조의 과도 산란 해석을 위한 결합 적분방정식(CFIE)의 안정된 MOT(Marching-On in Time) 방법을 제안한다. 결합 적분방정 식은 전장 및 자장 적분방정식의 선형적인 결합으로 구성된다. 공식의 전개 과정에서 전방 및 후방, 그리고 중앙 유한 차분을 포함시켜 일반화된 식을 구성하며, 파라미터에 의하여 유한 차분의 종류를 선택할 수 있다. 적분방정식에서 시간에 대한 미분 항을 중앙 유한 차분법으로 근사시키고, 그 외의 시간 의존 항을 평균치로 표현하였을 때, 도체로부터의 과도 산란해는 가장 안정되고 정확하였다. 중앙 유한 차분법을 적용한 MOT 기법에 의한 해를 기존의 방법과 주파수 영역 결합 적분방정식(FD-CFIE)으로부터 얻은 결과의 역 푸리에 변환과 비교한다.

• 한국항공우주학회지
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• 제31권4호
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• pp.8-15
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• 2003

본 연구는 적분 방정식과 반복 "오차-수정" 개념을 이용하는 Takanashi의 이론에 기초한 초음속 실용적인 설계방법의 개발 결과로서, 형상의 수정량은 목표 압력분포와 설계대상의 압력분포와의 차를 경계조건으로 이용해 LSP 방정식을 풀므로써 계산되어진다. 이 연구에서는 Green의 정리를 이용하여 편미방정식 형태의 LSP 방정식을 적분방정식으로 변환하여 계산하는 방법을 이용하고 있다. 여기서는 Isolated wing과 wign-nacelles 두가지 경우의 설계를 예로 들었다.

• 대한수학회지
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• 제33권4호
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• pp.929-954
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• 1996

• East Asian mathematical journal
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• 제15권1호
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• pp.91-103
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• 1999

• Nuclear Engineering and Technology
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• 제35권6호
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• pp.581-595
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• 2003

Transport lattice codes require the resonance integral tables for the resonant nuclides where the resonance integral is a function of the background cross section and can be prepared through a special program solving the slowing down equation. In case the cross section libraries do not include the resonance integral table for the resonant nuclides, the computational prediction produces a large error. We devised a new method using a Monte Carlo calculation for the effective resonance cross sections to solve this problem provisionally. We extended this method to obtain the resonance integral table for general purpose. The MCNP code is used for the effective resonance integrals and the LIBERTE code for the effective background cross sections. We modified the HELIOS library with the effective cross sections and the resonance integral tables obtained by the newly developed Monte Carlo method, and performed sample calculations using HELIOS and LIBERTE. The results showed that this method is very effective for the resonance treatment.

• International Journal of Naval Architecture and Ocean Engineering
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• 제2권3호
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• pp.119-126
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• 2010

The response of ship roll oscillation under random ice impulsive loads modeled by Poisson arrival process is very important in studying the safety of ships navigation in cold regions. Under both external and parametric random excitations the evolution of the probability density function of roll motion is evaluated using the path integral (PI) approach. The PI method relies on the Chapman-Kolmogorov equation, which governs the response transition probability density functions at two close intervals of time. Once the response probability density function at an early close time is specified, its value at later close time can be evaluated. The PI method is first demonstrated via simple dynamical models and then applied for ship roll dynamics under random impulsive white noise excitation.

• 대한전기학회:학술대회논문집
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• 대한전기학회 1999년도 추계학술대회 논문집 학회본부 A
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• pp.101-103
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• 1999

This paper presents an analysis of 2-dimensional(2-D) multi-regions problem using boundary integral equation method(BIEM). When compared with finite element method(FEM), there are only a few unknown variables in BIEM because it implements numerical analysis only for the surface or boundary of a model. As a result, a lot of computational memory and time can be saved. Procedure to analyze 2-D multi-regions problem using potentials and its derivatives in a boundary as unknown variables, first, numerical analysis is performed for each of subregions. And then interface continuity condition is applied to the interface between them and Gauss Quadrature Formula are adopted to solve singular integral in a boundary in this paper.