• Title/Summary/Keyword: order of convergence

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BcN based Ubiquitous Network and Service (BcN기반 유비퀴터스 네트워크 및 서비스)

  • Shin, Yong-Sik;Park, Yong-Gil
    • 한국정보통신설비학회:학술대회논문집
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    • 2005.08a
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    • pp.290-296
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    • 2005
  • In this paper, we describe ubiquitous environments and the trend of convergence that is an evolution path of current telecommunication, and show the concept of broadband convergence network, service feature and evolution path. In order to converge wire and wireless communication, telecommunication and broadcasting, voice and data efficiently, broadband convergence network divides a network into service layer, control layer, transport layer, ubiquitous access and terminal layer. Broadband convergence network will be a network that can provide and control broadband multimedia services with QoS and securityof different and customized level. Then we depict characteristics and types of broadband multimedia service, and describe the characteristic of broadband convergence network. Finally, we show ubiquitous network based on the broadband convergence network to provide ubiquitous service which is a future telecommunication service. We also describe requirements of ubiquitous network such as an intelligent and context based platform, convergence terminals, ubiquitous computing devices, etc., and give various emerging technologies and those applications.

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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
    • Korean Journal of Agricultural Science
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    • v.48 no.3
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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.

WIJSMAN ASYMPTOTICAL ${\mathcal{I}}_2$-LACUNARY STATISTICAL EQUIVALENCE OF ORDER 𝜂 FOR DOUBLE SET SEQUENCES

  • GULLE, ESRA;ULUSU, UGUR
    • Journal of applied mathematics & informatics
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    • v.40 no.1_2
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    • pp.215-231
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    • 2022
  • In this paper, for double set sequences, as a new approach to the notion of Wijsman asymptotical lacunary statistical equivalence of order 𝜂, we introduce new concepts which are called Wijsman asymptotical ${\mathcal{I}}_2$-lacunary statistical equivalence of order 𝜂 and Wijsman asymptotical strong ${\mathcal{I}}_2$-lacunary equivalence of order 𝜂 where 0 < 𝜂 ≤ 1. Also, some properties of these new concepts are investigated, and the existence of some relations between these and some previously studied asymptotical equivalence concepts for double set sequences is examined.

NUMERICAL SOLUTIONS FOR SPACE FRACTIONAL DISPERSION EQUATIONS WITH NONLINEAR SOURCE TERMS

  • Choi, Hong-Won;Chung, Sang-Kwon;Lee, Yoon-Ju
    • Bulletin of the Korean Mathematical Society
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    • v.47 no.6
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    • pp.1225-1234
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    • 2010
  • Numerical solutions for the fractional differential dispersion equations with nonlinear forcing terms are considered. The backward Euler finite difference scheme is applied in order to obtain numerical solutions for the equation. Existence and stability of the approximate solutions are carried out by using the right shifted Grunwald formula for the fractional derivative term in the spatial direction. Error estimate of order $O({\Delta}x+{\Delta}t)$ is obtained in the discrete $L_2$ norm. The method is applied to a linear fractional dispersion equations in order to see the theoretical order of convergence. Numerical results for a nonlinear problem show that the numerical solution approach the solution of classical diffusion equation as fractional order approaches 2.

ANGULAR DISTRIBUTION OF SOLUTIONS OF HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS

  • Wu, Zhaojun;Sun, Daochun
    • Journal of the Korean Mathematical Society
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    • v.44 no.6
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    • pp.1329-1338
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    • 2007
  • In this paper, we study the location of zeros and Borel direction for the solutions of linear homogeneous differential equations $$f^{(n)}+A_{n-1}(z)f^{(n-1)}+{\cdots}+A_1(z)f#+A_0(z)f=0$$ with entire coefficients. Results are obtained concerning the rays near which the exponent of convergence of zeros of the solutions attains its Borel direction. This paper extends previous results due to S. J. Wu and other authors.

AN EXTRAPOLATED CRANK-NICOLSON CHARACTERISTIC FINITE ELEMENT METHOD FOR NONLINEAR SOBOLEV EQUATIONS

  • OHM, MI RAY;SHIN, JUN YONG
    • Journal of applied mathematics & informatics
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    • v.36 no.3_4
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    • pp.257-270
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    • 2018
  • An extrapolated Crank-Nicolson characteristic finite element method is introduced for approximate solutions of nonlinear Sobolev equations with a convection term. And we obtain the higher order of convergence for approximate solutions in the temporal and the spatial directions with respect to $L^2$ norm.

POSTPROCESSING FOR THE RAVIART-THOMAS MIXED FINITE ELEMENT APPROXIMATION OF THE EIGENVALUE PROBLEM

  • Kim, Kwang-Yeon
    • Korean Journal of Mathematics
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    • v.26 no.3
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    • pp.467-481
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    • 2018
  • In this paper we present a postprocessing scheme for the Raviart-Thomas mixed finite element approximation of the second order elliptic eigenvalue problem. This scheme is carried out by solving a primal source problem on a higher order space, and thereby can improve the convergence rate of the eigenfunction and eigenvalue approximations. It is also used to compute a posteriori error estimates which are asymptotically exact for the $L^2$ errors of the eigenfunctions. Some numerical results are provided to confirm the theoretical results.

AN EXTRAPOLATED CRANK-NICOLSON CHARACTERISTIC FINITE ELEMENT METHOD FOR SOBOLEV EQUATIONS

  • Ohm, Mi Ray;Shin, Jun Yong
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.4
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    • pp.1409-1419
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    • 2017
  • We introduce an extrapolated Crank-Nicolson characteristic finite element method to approximate solutions of a convection dominated Sobolev equation. We obtain the higher order of convergence in both the spatial direction and the temporal direction in $L^2$ normed space for the extrapolated Crank-Nicolson characteristic finite element method.

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

  • Choi, Yun-Seok;Park, Hyung-Kun
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.32 no.7C
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    • pp.627-634
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    • 2007
  • When a higher-order modulation scheme (16QAM or 64QAM) is applied to the communications system using the nonlinear high power amplifier (HPA), the performance can be degraded by the nonlinear distortion of the HPA. The nonlinear distortion can be compensated by the adaptive nonlinear Volterra equalizer using the low-complexity LMS algorithm at the receiver. However, the LMS algorithm shows very slow convergence performance. So, in this paper, the parallel M-band discrete wavelet transformed LMS algorithm is proposed in order to improve the convergence speed. Throughout the computer simulations, it is shown that the convergence performance of the proposed method is superior to that of the conventional time-domain and transform-domain LMS algorithms.

A CRANK-NICOLSON CHARACTERISTIC FINITE ELEMENT METHOD FOR NONLINEAR SOBOLEV EQUATIONS

  • Ohm, Mi Ray;Shin, Jun Yong
    • East Asian mathematical journal
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    • v.33 no.3
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    • pp.295-308
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    • 2017
  • We introduce a Crank-Nicolson characteristic finite element method to construct approximate solutions of a nonlinear Sobolev equation with a convection term. And for the Crank-Nicolson characteristic finite element method, we obtain the higher order of convergence in the temporal direction and in the spatial direction in $L^2$ normed space.