• 제목/요약/키워드: Higher order of convergence

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융합 공학교육을 위한 마이크로 디그리 도입 (Micro Degree for Convergence Engineering Education)

  • 홍연기
    • 융복합기술연구소 논문집
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    • 제10권1호
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    • pp.31-36
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    • 2020
  • The purpose of this study is to discuss how to introduce micro degree for innovation in convergence education in our university. To this end, the background of the introduction of micro and nano degrees and domestic and foreign applications were reviewed. The reason why the rate of students completing the multi-degree was low was that the credits required for graduation were higher than that of other domestic universities, and the difficulty of the courses offered in the convergence major did not match the students. In order to reduce the burden of students learning convergence subjects while acquiring new knowledge and skills, the introduction of a micro degree is considered to be an alternative to the current convergence education.

MULTIGRID METHOD FOR AN ACCURATE SEMI-ANALYTIC FINITE DIFFERENCE SCHEME

  • Lee, Jun-S.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제7권2호
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    • pp.75-81
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    • 2003
  • Compact schemes are shown to be effective for a class of problems including convection-diffusion equations when combined with multigrid algorithms [7, 8] and V-cycle convergence is proved[5]. We apply the multigrid algorithm for an semianalytic finite difference scheme, which is desinged to preserve high order accuracy despite of singularities.

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고차 Convex 근사화기법을 이용한 강상자형교의 최적설계 (Optimum design of Steelbox Girder Bridges using Improved Higher-order Convex Approximation)

  • 조효남;민대홍;이광민;김성헌
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2003년도 봄 학술발표회 논문집
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    • pp.201-208
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    • 2003
  • Since the real steel box girder bridges have a large number of design variables and show complex structural behavior, it would be impractical to directly use the algorithm for its optimum design. Thus, in this study, for optimum design of real steel box girder bridge, approximated reanalysis using an higher-order Improved self-adjusted Convex Approximation (ISACA) which was newly proposed on a previous study by the author is applied for the numerical efficiency. To demonstrate the efficiency, robustness, and convergence of the approximated reanalysis technique using the ISACA, a real bridge having two continuous spans is used as an illustrative example. From the results of the numerical investigation, it may be positively stated that the efficiency, robustness, and convergence of the approximated reanalysis using an ISACA is superior compared with the previous approximated reanalysis techniques.

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CLASSES OF HIGHER ORDER CONVERGENT ITERATIVE METHODS FOR SOLVING NONLINEAR EQUATIONS

  • FAROOQ AHMED SHAH
    • Journal of Applied and Pure Mathematics
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    • 제6권3_4호
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    • pp.177-189
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    • 2024
  • In this paper, we suggest and analyze new higher order classes of iterative methods for solving nonlinear equations by using variational iteration technique. We present several examples to illustrate the efficiency of the proposed methods. Comparison with other similar methods is also given. New methods can be considered as an alternative of the existing methods. This technique can be used to suggest a wide class of new iterative methods for solving nonlinear equations.

A CRANK-NICOLSON CHARACTERISTIC FINITE ELEMENT METHOD FOR SOBOLEV EQUATIONS

  • Ohm, Mi Ray;Shin, Jun Yong
    • East Asian mathematical journal
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    • 제32권5호
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    • pp.729-744
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    • 2016
  • A Crank-Nicolson characteristic finite element method is introduced to construct approximate solutions of a Sobolev equation with a convection term. The higher order of convergences in the temporal direction and in the spatial direction in $L^2$ normed space are verified for the Crank-Nicolson characteristic finite element method.

Contribution analysis of carcass traits on auction price for Hanwoo in Gyeonggi province

  • Yun, Jewoong;Kim, Yoseph;Lee, Jieun;Kang, Tae Hun;Kim, Myunghoo;Seo, Jakyeom;Cho, Seong-Keun;Kim, Byeong-Woo
    • 농업과학연구
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    • 제48권3호
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    • pp.367-375
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    • 2021
  • The aim of this study was to identify the factors contributing to the auction price and total price of carcasses by using squared semi-partial correlation of carcass traits. The data used in this study were the carcass grades assigned to 7,145 head of Hanwoo slaughtered from 2013 to 2018 in Gyeonggi province and 106,779 head of Hanwoo slaughtered from 2013 to 2018 outside of Gyeonggi province. The rankings of the carcass traits contributing to the auction price were in the order of marbling score (86.70%), backfat thickness (10.42%), eye muscle area (1.40%), and carcass weight (0.92%) in Gyeonggi province. In Hanwoo slaughtered outside of Gyeonggi province, the rankings were in the order of marbling score (88.53%), backfat thickness (9.06%), eye muscle area (1.24%), and carcass weight (0.99%). The rankings of carcass traits contributing to the total price were in the order of marbling score (45.95%), carcass weight (45.60%), backfat thickness (6.49%) and eye muscle area (0.77%) in Gyeonggi province. In Hanwoo slaughtered outside Gyeonggi province, the rankings were in the order of marbling score (49.64%), carcass weight (43%), backfat thickness (5.86%), and eye muscle area (0.66%). Gyeonggi province Hanwoo had thinner backfat thickness than Hanwoo outside Gyeonggi, and it had a higher contribution to auction price and total price. Collectively, Hanwoo in Gyeonggi province showed higher contribution scores for backfat thickness. This study aimed to provide basic information to guide Hanwoo breeding and increase profits for Hanwoo farms through the analysis of each traits according to environmental factors.

디지털기기와 디지털서비스의 컨버전스 수준 평가에 따른 컨버전스 세대의 탐색적 고찰 (An Exploratory Study on Convergence generation according to the convergence level estimation of Digital Device and Service)

  • 김연정
    • 디지털융복합연구
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    • 제9권4호
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    • pp.169-179
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    • 2011
  • 본 연구의 목적은 인구통계학적 특성에 따른 디지털컨버전스 수준을 분석하며, 디지털기기와 디지털서비스의 사용빈도에 다른 컨버전스 수준을 분석하고자 한다. 연구방법으로는 FGI, 전문가 자문그룹과 인터뷰와 설문분석을 수행하였다. 연구결과, 30대, 대학원이상의 고등교육을 받은 사람들이 디지털컨버전스 기기와 서비스에 적극적으로 참여하였으며, 소비자들이 사용하는 컨버전스 기기중 컨버전스 수준이 높은 기기는 스마트폰, 타블렛 PC, 넷북의 순서로 높이 나타났으며, 컨버전스 서비스에서는 SNS, 트위터, UCC, 포탈 메시지, 앱스토아, e-Book 웹하드의 순서로 나타났다. 컨버전스 세대들은 스마트폰을 활용한 앱스토아, 무선 게임을 즐기며, 페이스북/싸이월드, 트위터, 포탈과 인터넷 커뮤니티 서비스에 많이 참여하고 있는 것으로 나타났다.

비선형 HPA를 가진 M-QAM 시스템에서 비선형 Volterra 등화기의 수렴 속도 향상을 위한 병렬 M-band DWT-LMS 알고리즘 (Parallel M-band DWT-LMS Algorithm to Improve Convergence Speed of Nonlinear Volterra Equalizer in MQAM System with Nonlinear HPA)

  • 최윤석;박형근
    • 한국통신학회논문지
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    • 제32권7C호
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    • pp.627-634
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    • 2007
  • 고효율 변조기법 (16 QAM or 64QAM)이 비선형 고전력 증폭기 (High-Power Amplifier; HPA)를 사용하는 통신시스템에 적용되었을 때 비선형 왜곡에 의해 성능저하가 발생할 수 있다. 이런 비선형 왜곡은 수신부에서 복잡도가 낮은 LMS 알고리즘을 적용한 적응적 비선형 Volterra 등화기를 사용하여 보상할 수 있지만, 매우 느린 수렴 속도를 가지는 단점이 있다. 본 논문에서는 수렴 속도를 향상시키기 위한 병렬 M대역 이산 웨이블릿 변환영역 LMS (Parallel M-band Discrete Wavelet Transform Least Mean Square) 알고리즘을 제안한다. 모의실험을 통하여 제안된 기법이 기존의 시간 영역 LMS 알고리즘과 변환 영역 LMS 알고리즘들에 비해 수렴 속도가 우수함을 보여준다.

ITERATIVE REWEIGHTED ALGORITHM FOR NON-CONVEX POISSONIAN IMAGE RESTORATION MODEL

  • Jeong, Taeuk;Jung, Yoon Mo;Yun, Sangwoon
    • 대한수학회지
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    • 제55권3호
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    • pp.719-734
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    • 2018
  • An image restoration problem with Poisson noise arises in many applications of medical imaging, astronomy, and microscopy. To overcome ill-posedness, Total Variation (TV) model is commonly used owing to edge preserving property. Since staircase artifacts are observed in restored smooth regions, higher-order TV regularization is introduced. However, sharpness of edges in the image is also attenuated. To compromise benefits of TV and higher-order TV, the weighted sum of the non-convex TV and non-convex higher order TV is used as a regularizer in the proposed variational model. The proposed model is non-convex and non-smooth, and so it is very challenging to solve the model. We propose an iterative reweighted algorithm with the proximal linearized alternating direction method of multipliers to solve the proposed model and study convergence properties of the algorithm.

신경회로망 ICA를 이용한 혼합영상신호의 분리 (Blind Image Separation with Neural Learning Based on Information Theory and Higher-order Statistics)

  • 조현철;이권순
    • 전기학회논문지
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    • 제57권8호
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    • pp.1454-1463
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    • 2008
  • Blind source separation by independent component analysis (ICA) has applied in signal processing, telecommunication, and image processing to recover unknown original source signals from mutually independent observation signals. Neural networks are learned to estimate the original signals by unsupervised learning algorithm. Because the outputs of the neural networks which yield original source signals are mutually independent, then mutual information is zero. This is equivalent to minimizing the Kullback-Leibler convergence between probability density function and the corresponding factorial distribution of the output in neural networks. In this paper, we present a learning algorithm using information theory and higher order statistics to solve problem of blind source separation. For computer simulation two deterministic signals and a Gaussian noise are used as original source signals. We also test the proposed algorithm by applying it to several discrete images.