• Journal of applied mathematics & informatics
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• 제18권1_2호
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• pp.339-350
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• 2005

A space-time fractional advection-dispersion equation (ADE) is a generalization of the classical ADE in which the first-order time derivative is replaced with Caputo derivative of order $\alpha{\in}(0,1]$, and the second-order space derivative is replaced with a Riesz-Feller derivative of order $\beta{\in}0,2]$. We derive the solution of its Cauchy problem in terms of the Green functions and the representations of the Green function by applying its Fourier-Laplace transforms. The Green function also can be interpreted as a spatial probability density function (pdf) evolving in time. We do the same on another kind of space-time fractional advection-dispersion equation whose space and time derivatives both replacing with Caputo derivatives.

• 전자공학회논문지D
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• 제35D권5호
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• pp.24-32
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• 1998

Spatial green's functions for a horizontal magnetic dipole in a parallel-plate waveguide are expressed in an improved closed-form with two-level approximation of the spectral green's functions. The results evaluated by the present closed-from green's function with two-level approximation are compard with those obtained the previous closed-form green's function with one-level approximation. The present results are observed to be more acurate than the previous results over wide frequency range as well as whole spatial range. The combination of the present closed-form green's functions and the moment mehtod may help in analyzing the problem of EMP coupling through an aperture into a parallel-plat waveguide and the microstrip slot antenna with a reflector.

• 한국지진공학회논문집
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• 제24권2호
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• pp.59-65
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• 2020

The empirical Green's function method is applied to the foreshock and the mainshock of the 2016 Gyeongju earthquake to simulate strong ground motions of the mainshock and scenario earthquake at seismic stations of seven metropolises in South Korea, respectively. To identify the applicability of the method in advance, the mainshock is simulated, assuming the foreshock as the empirical Green's function. As a result of the simulation, the overall shape, the amplitude of PGA, and the duration and response spectra of the simulated seismic waveforms are similar with those of the observed seismic waveforms. Based on this result, a scenario earthquake on the causative fault of Gyeongju earthquake with a moment magnitude 6.5 is simulated, assuming that the mainshock serves as the empirical Green's function. As a result, the amplitude of PGA and the duration of simulated seismic waveforms are significantly increased and extended, and the spectral amplitude of the low frequency band is relatively increased compared with that of the high frequency band. If the empirical Green's function method is applied to several recent well-recorded moderate earthquakes, the simulated seismic waveforms can be used as not only input data for developing ground motion prediction equations, but also input data for creating the design response spectra of major facilities in South Korea.

• 한국전자파학회논문지
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• 제17권9호
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• pp.895-899
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• 2006

파수 영역(k-domain)에서 웨이블릿 변환 개념을 적용한 그린 함수 표현법은 적분 방정식에 활용할 때 전자파 해석의 고속화 계산에 사용할 수 있다. 그 표현 식은 기존의 표현에 비해서 매우 간결하기 때문에 전자파 해석의 방사 적분 계산 시간을 줄이는데 효과적으로 사용될 수 있다. 그린 함수의 이산 웨이블릿 개념을 이용한 수학적인 표현 식을 유도하고 그 특성에 대하여 설명하고자 한다.

• 한국정보통신학회:학술대회논문집
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• 한국해양정보통신학회 2007년도 추계종합학술대회
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• pp.219-222
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• 2007

유전체기판 위에 놓여있는 안테나를 엄밀히 해석하기 위해서는 파원의 위치를 따른 각 매질에서의 Green함수를 도출하여야한다. 그런데 이와 같은 Green함수는 Sommerfeld적분식으로 표현되기 때문에 적분의 수렴성이 좋지 않아서 수치계산시간이 길어지는 등 곤란한 점이 많다. 본 논문는 접지면이 없는 유전체 슬라브에 위치한 안테나를 해석함에 필요한 3층매질 Green함수를 도출하고, 파수공간에서의 Sommerfeld적분의 수렴성을 개선하는 방법으로 피적분함수로부터 수렴이 늦는 부분을 해석적으로 해결하는 Extraction법을 적용하여 수치계산시간을 단축하였다. 또한 파수공간의 무한적분을 함에 있어 적분로상에 존재하는 표면파 모드를 분석하고 이를 처리하는 방법을 제안 한다.

• Journal of the Korean Data and Information Science Society
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• 제14권4호
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• pp.975-982
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• 2003

In this paper we considered the problem of estimating the bivariate survival distribution of the random vector (X, Y) when Y may be subject to random censoring but X is always uncensored. Adapting conditional Koziol-Green model, simplified estimator for bivariate survival function is proposed. We perform simulation to compare the proposed estimator with popular estimators and discussed the performance of it.

• 한국전산유체공학회:학술대회논문집
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• 한국전산유체공학회 2011년 춘계학술대회논문집
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• pp.256-258
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• 2011

Using the axial Green's function method for Steady Stokes flows, we introduce a new pressure correction formula to satisfy the incompressibility condition, in which the pressure is related to the integral of the second order derivatives of the velocity. Based on this formula, we propose the iterative method for solving the Stokes flows in complicated domains. Even if the domain is complex, this method maintains the second order of convergence for the velocity.

• 한국콘텐츠학회논문지
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• 제7권2호
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• pp.125-131
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• 2007

학부생들이 쉽게 사용할 수 있는 기법인 반복 그린 함수 방법(IGFM)을 이용하여 복잡한 전자파 도파관스텁 구조를 이론적으로 엄밀하게 해석한다. lGFM은 그린 함수 접근법과 영역 반복법을 이용한다. IGFM의 간단한 공식화를 위해 단순한 수학 방정식만을 사용한 물리적인 반복 메커니즘을 이용한다. 전형적인 전자파 도파관 구조인 평행판 E평면 T접합 스텁에 대한 산란 특성을 IGFM 관점에서 이론적으로 공식화한다. 수치해석 결과를 주파수에 대한 반사와 투과 전력 관점에서 보인다.

• 한국해양공학회지
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• 제24권1호
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• pp.34-38
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• 2010

An analytical solution procedure for the dynamic response of beams with variable properties is developed by using an asymptotic solution and the Green's function. This asymptotic closed form solution is derived for the transverse vibration of beams under the assumption of slowly varying properties, such as mass, cross-section, tension etc., along the beam length. However, this solution is still found to be very accurate even in the case of large variation, such as step change in cross-section, mass, and tension. Therefore, this derived asymptotic closed form solution and the Green's function can be easily applied to find dynamic responses for various kind of beam vibration problems.

• Structural Monitoring and Maintenance
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• 제11권1호
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• pp.19-40
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• 2024

The elastic theory of beams is fundamental in engineering of design and structure. In this study, we construct Green's function for inhomogeneous fourth-order differential operators subjected to associated constraints that arises in dealing with dynamic problems in the Rayleigh beam. We obtain solutions for homogeneous and completely inhomogeneous beam problems using Green's function. This enables us to consider rotational influences in determining the eigenfrequency of beam vibrations. Additionally, we investigate the dynamic vibration model of inhomogeneous beams incorporating rotational effects. The eigenvalues of Rayleigh beams, including first-order correction terms, are also computed and displayed in tabular forms.