• Title/Summary/Keyword: Expansion Method

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Multiple light diffraction theory in volume gratings using perturbative integral expansion method

  • Jin, Sang-Kyu
    • Journal of the Optical Society of Korea
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    • v.1 no.2
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    • pp.67-73
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    • 1997
  • Light wave diffraction from multiple superposed volume gratings is inestigated using a perturbative iteration method of the integral equation of Maxwell's wave equation. The host material and index gratings are anisotropic and non-coplanar multiple volume gratings are considered. In this method, the paraxial approximation and lack of backward scattering in conventional coupled mode theory are not assumed. Systematic analysis of anisotropic wave diffraction due to multiple noncoplanar volume index gratings is performed in increasing level of diffraction orders corresponding to successive iterations.

Numerical Investigations in Choosing the Number of Principal Components in Principal Component Regression - CASE I

  • Shin, Jae-Kyoung;Moon, Sung-Ho
    • Journal of the Korean Data and Information Science Society
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    • v.8 no.2
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    • pp.127-134
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    • 1997
  • A method is proposed for the choice of the number of principal components in principal component regression based on the predicted error sum of squares. To do this, we approximately evaluate that statistic using a linear approximation based on the perturbation expansion. In this paper, we apply the proposed method to various data sets and discuss some properties in choosing the number of principal components in principal component regression.

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A LINEARIZED FINITE-DIFFERENCE SCHEME FOR THE NUMERICAL SOLUTION OF THE NONLINEAR CUBIC SCHRODINGER EQUATION

  • Bratsos, A.G.
    • Journal of applied mathematics & informatics
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    • v.8 no.3
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    • pp.683-691
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    • 2001
  • A linearized finite-difference scheme is used to transform the initial/boundary-value problem associated with the nonlinear Schrodinger equation into a linear algebraic system. This method is developed by replacing the time and the nonlinear term by an appropriate parametric linearized scheme based on Taylor’s expansion. The resulting finite-difference method is analysed for stability and convergence. The results of a number of numerical experiments for the single-soliton wave are given.

Flow Analysis of Automotive Oil Pump of Gerotor Type (자동차용 Gerotor형 오일 펌프의 유동 해석)

  • Won Chan-Shik;Hur N.;Kwon Sung Ho
    • Proceedings of the KSME Conference
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    • 2002.08a
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    • pp.573-576
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    • 2002
  • A flow characteristics of automotive oil pump of gerotor type has been investigated numerically. For the simulation of gerotor that have different rotating velocity at inner rotor and outer rotor, node expansion and contraction method was adopted. ASI (Arbitrary Sliding Interfaces) method was also applied at interface between rotating gerotor and stationary volute. The present results showed good agreement with the experimental data.

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Stochastic Response Analysis of Transmission Tower Subjected to Young's Modulus Variation (송전철탑의 탄성계수의 변이에 따른 확률적 응답변이도)

  • 동원영;정영수
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1993.10a
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    • pp.207-215
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    • 1993
  • With the aid of finite element method, this paper deals with the problem of structural response variability of transmission tower subjected to the spatial variability of material properties, Young's modulus herein. The spatial variability of material property are modeled as two-dimensional stochastic field which has an isotropic auto-correlation function. Response variability has been computed based on two numerical techniques, such as the Neumann expansion method in conjunction with the Monte Carlo simulation method. The results by these numerical methods are compared with those by the deterministic approach.

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Two Method for Evaluation of the Dipole Moment Matrix Elements (쌍극자모멘트 행렬요소를 계산하는 두가지 방법)

  • Sangwoon Ahn
    • Journal of the Korean Chemical Society
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    • v.22 no.4
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    • pp.229-238
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    • 1978
  • Two methods for evaluation of the dipole moment matrix elements are developed, one using the expansion method for spherical harmonics and the other the transformation method of the dipole moment matrix elements into overlap integrals for Mulliken. The numerical values of the dipole moment matrix elements evaluated by two methods are in agreement with each other.

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Analysis of Transmission-line Discontinuities by 3-dimensional Finite Element Method (3차원 유한요소법에 의한 도파로의 불연속 특성 해석)

  • 이상수;안창회;정봉식;이수영
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.28A no.5
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    • pp.355-360
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    • 1991
  • A transmission-line discontinuities are analyzed by Finite Element Method. We use quasi-static approxmation to determine the circuit parameters of discontinuities. Delta formulation is introduced so that the cancellation error of potential calculation is reduced. To verify this method, capacitance of coaxial cable with discontinuous and coupling capacitances are calculated by modal expansion. This approach can be used for arbitrary discontinuous conducting patterns of microwave devices.

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Numerical Investigations in Choosing the Number of Principal Components in Principal Component Regression - CASE II

  • Shin, Jae-Kyoung;Moon, Sung-Ho
    • Journal of the Korean Data and Information Science Society
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    • v.10 no.1
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    • pp.163-172
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    • 1999
  • We propose a cross-validatory method for the choice of the number of principal components in principal component regression based on the magnitudes of correlations with y. There are two different manners in choosing principal components, one is the order of eigenvalues(Shin and Moon, 1997) and the other is that of correlations with y. We apply our method to various data sets and compare results of those two methods.

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Improving Percentile Points of $x^2$ Distribution ($x^2$분포의 백분위수의 개선에 관한 연구)

  • 이희춘
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.16 no.28
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    • pp.137-143
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    • 1993
  • Generally there are three methods to derive an approximation formula: 1) approching standard normal distribution by appropriate changing variable 2) using standardization variable for expansion 3) deriving approximation formula by direct method. This paper present correction terms having the form of $C_{1/v^{n/2}}/{\;}+{\;}C_2{\;}(n=1,2)$ with respect to $x^2_{\alpha}(v)$ distribution (${\nu}{\;}{\leq}{\;}30$), which minimize the error by EDA method and least square method.

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Method of Moments Analysis for Theoretical Site Attenuation Curves (시험장감쇠량 이론곡선의 모멘트 법 해석)

  • Ki Chai Kim
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.29A no.7
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    • pp.39-47
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    • 1992
  • This paper showed that theoretical site attenuation curves were obtained simply by the method of moments analysis for current integral equations on antennas. Since the expansion coefficients of driving and receiving points were calculated from the method of moments procedure, site attenuations were evaluated simply using these basic antenna parameters. Theoretical site attenuations were calculated with half-wave resonant dipoles connected directly to a 50 ohm receiving system and connected to a 72/50 ohm matching network, respectively. Results were compared with other theoretical studies reported so far. Also included were experimental results for site attenuations to prove the validity of theoretical analysis.

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