• Title/Summary/Keyword: order of convergence

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Strategic Model Design based on Core Competencies for Innovation in Engineering Education

  • Seung-Woo LEE;Sangwon LEE
    • International journal of advanced smart convergence
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    • v.12 no.3
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    • pp.141-148
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    • 2023
  • As the direction of education in the fourth industry in the 21st century, convergence talent education that emphasizes the connection and convergence between core competency-based education and academia is emerging to foster creative talent. The purpose of this paper is to present the criteria for evaluating the competency of learning outcomes in order to develop a strategic model for innovation in engineering teaching-learning. In this paper, as a study to establish the direction of implementation of convergence talent education, a creative innovation teaching method support system was established to improve the quality of convergence talent education. Firstly, a plan to develop a teaching-learning model based on computing thinking. Secondly, it presented the development of a teaching-learning model based on linkage and convergence learning. Thirdly, we would like to present educational appropriateness and ease based on convergence learning in connection with curriculum improvement strategies based on computing thinking skills. Finally, we would like to present a strategic model development plan for innovation in engineering teaching-learning that applies the convergence talent education program.

ON EXACT CONVERGENCE RATE OF STRONG NUMERICAL SCHEMES FOR STOCHASTIC DIFFERENTIAL EQUATIONS

  • Nam, Dou-Gu
    • Bulletin of the Korean Mathematical Society
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    • v.44 no.1
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    • pp.125-130
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    • 2007
  • We propose a simple and intuitive method to derive the exact convergence rate of global $L_{2}-norm$ error for strong numerical approximation of stochastic differential equations the result of which has been reported by Hofmann and $M{\"u}ller-Gronbach\;(2004)$. We conclude that any strong numerical scheme of order ${\gamma}\;>\;1/2$ has the same optimal convergence rate for this error. The method clearly reveals the structure of global $L_{2}-norm$ error and is similarly applicable for evaluating the convergence rate of global uniform approximations.

VARIANTS OF NEWTON'S METHOD USING FIFTH-ORDER QUADRATURE FORMULAS: REVISITED

  • Noor, Muhammad Aslam;Waseem, Muhammad
    • Journal of applied mathematics & informatics
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    • v.27 no.5_6
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    • pp.1195-1209
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    • 2009
  • In this paper, we point out some errors in a recent paper by Cordero and Torregrosa [7]. We prove the convergence of the variants of Newton's method for solving the system of nonlinear equations using two different approaches. Several examples are given, which illustrate the cubic convergence of these methods and verify the theoretical results.

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Web Services deployment model based on WSG(Web Services gateway) in NGN

  • Lee, Kang-Chan;Lee, Seung-Yun
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2008.05a
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    • pp.909-912
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    • 2008
  • The 'convergence service' in NGN implies the integration of services in NGN with a unified manner to access each service in order to interwork with each service. This Recommendation defines the convergence model for NGN based on Web Services and provides a detailed scenario of each convergence model in form of Web Services.

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IMPROVED CONVERGENCE OF STEFFENSEN'S METHOD FOR APPROXIMATING FIXED POINTS OF OPERATORS IN BANACH SPACE

  • Argyros, Ioannis K.;Ren, Hongmin
    • Journal of the Korean Mathematical Society
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    • v.54 no.1
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    • pp.17-33
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    • 2017
  • We present a new local as well as a semilocal convergence analysis for Steffensen's method in order to locate fixed points of operators on a Banach space setting. Using more precise majorizing sequences we show under the same or less computational cost that our convergence criteria can be weaker than in earlier studies such as [1-13], [21, 22]. Numerical examples are provided to illustrate the theoretical results.

A Study of the Cultural Convergence Phenomenon in Contemporary Fashion (현대 패션에서 보여지는 컨버전스 문화 현상에 관한 연구)

  • Kim, Mi-Hyun
    • Journal of the Korean Home Economics Association
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    • v.46 no.4
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    • pp.61-69
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    • 2008
  • The definition of convergence employed in this study is a sociocultural phenomenon where different patterns, genres or fields coexist along with the existence of a knowledge based society. The focus of this study was centered on identifying the characteristics of contemporary fashion paradigm in association with changing cultural convergence according to the theories of Mark Weiser and other futurologists. The purpose of this study was to delve into the features of this paradigm in conjunction with changing cultural convergence in 21st century's knowledge-based society, and the influence of convergence paradigm on fashion. After identifying the features of knowledge-based society paradigm in association with changing cultural convergence, the characteristics of the fashion paradigm in order to ascertain and analyze fashion trends. Conclusions based on analyzed data indicate that in a knowledge-based society, paradigm change resulting from convergence phenomena contributes to facilitating the dissolution of fashion from other fields and its fusion with other areas.

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

  • Hong, Yeon Ki
    • Journal of Institute of Convergence Technology
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    • v.10 no.1
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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.

Preconditioned Jacobian-free Newton-Krylov fully implicit high order WENO schemes and flux limiter methods for two-phase flow models

  • Zhou, Xiafeng;Zhong, Changming;Li, Zhongchun;Li, Fu
    • Nuclear Engineering and Technology
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    • v.54 no.1
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    • pp.49-60
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    • 2022
  • Motivated by the high-resolution properties of high-order Weighted Essentially Non-Oscillatory (WENO) and flux limiter (FL) for steep-gradient problems and the robust convergence of Jacobian-free Newton-Krylov (JFNK) methods for nonlinear systems, the preconditioned JFNK fully implicit high-order WENO and FL schemes are proposed to solve the transient two-phase two-fluid models. Specially, the second-order fully-implicit BDF2 is used for the temporal operator and then the third-order WENO schemes and various flux limiters can be adopted to discrete the spatial operator. For the sake of the generalization of the finite-difference-based preconditioning acceleration methods and the excellent convergence to solve the complicated and various operational conditions, the random vector instead of the initial condition is skillfully chosen as the solving variables to obtain better sparsity pattern or more positions of non-zero elements in this paper. Finally, the WENO_JFNK and FL_JFNK codes are developed and then the two-phase steep-gradient problem, phase appearance/disappearance problem, U-tube problem and linear advection problem are tested to analyze the convergence, computational cost and efficiency in detailed. Numerical results show that WENO_JFNK and FL_JFNK can significantly reduce numerical diffusion and obtain better solutions than traditional methods. WENO_JFNK gives more stable and accurate solutions than FL_JFNK for the test problems and the proposed finite-difference-based preconditioning acceleration methods based on the random vector can significantly improve the convergence speed and efficiency.

A Study on Convergence Education of IT & Design for Training Creative Talent (창의적 인재 양성을 위한 IT & 디자인 분야의 융합 교육 연구)

  • Kwon, Hyo-Jeong
    • Journal of Korea Multimedia Society
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    • v.17 no.11
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    • pp.1354-1362
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    • 2014
  • In order to solve the complicated problems faced by the spread of diversified information devices and changes in the user environment in recent years, the importance of training creative talent as well as the need for interdisciplinary convergent approach have emerged. As a future technology development project, convergence education with the design sector for training creative talent in the IT field is also urgent. In this study, we recognized the importance and problems of the convergent approach between IT and design sector by examining the convergence theory and cases with a focus on effective creativity development and sought a new direction for convergence education in the future by investigating the awareness on the convergent approach of college students and analyzing the results. This will be able to have significance as a basic study for discovering creative and innovative convergent talent in the IT and design sector in the future and strengthening basic competence.