• Title/Summary/Keyword: Space Convergence

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Verification and Validation of the Numerical Simulation of Transverse Injection Jets using Grid Convergence Index (GCI 를 이용한 수직분사제트 수치모사의 검증 및 확인)

  • 원수희;정인석;최정열
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.34 no.4
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    • pp.53-62
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    • 2006
  • Two-dimensional steady flowfields generated by transverse injection jets into a supersonic mainstream are numerically simulated. Fine-scale turbulence effects are represented by a k-${\omega}$ SST two-equation closure model which includes $y^+$ effects on the turbulence model. Solution convergence is evaluated by using Grid Convergence Index(GCI), a measure of uncertainty of the grid convergence. Comparison is made with experimental data and other turbulence models in term of surface static pressure distributions, the length of the upstream separation region, and the penetration height. Results indicate that the k-${\omega}$ SST model correctly predicts the mean surface pressure distribution and the upstream separation length for low static pressure ratios. However, the numerical predictions become less consistent with experimental results as the static pressure ratio increases. All these results are taken within 1% error band of grid convergence.

Basic Study on the Establishment of AI Convergence Education Room (인공지능융합교육실 구축에 관한 기초연구)

  • Kim, Jeong-Rang
    • 한국정보교육학회:학술대회논문집
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    • 2021.08a
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    • pp.321-326
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    • 2021
  • In this paper, the information education plan of the Ministry of Education and offices of education was analyzed in relation to the construction of the AI convergence education room. And based on this, an appropriate construction direction was suggested. For research, AI convergence education room construction plan, budget amount per school and etc were analyzed in the information education plan of the Ministry of Education, KERIS, KOFAC, and the plan of leading schools for AI education. Although the Ministry of Education is making various efforts to promote SW education and artificial intelligence convergence education, it is found that the number is far insufficient compared to the number of elementary, middle and high schools. Efforts to expand the information education room at the government level are continuously required, and in order to utilize the developed artificial intelligence convergence education room, it is necessary to provide abundant teaching and learning examples for the construction space model. In addition, school-level planning and execution must be followed so that the constructed space can be used appropriately, and management and maintenance plans for equipment are required.

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WEAK CONVERGENCE FOR INTERATED RANDOM MAPS

  • Lee, Oe-Sook
    • Bulletin of the Korean Mathematical Society
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    • v.35 no.3
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    • pp.485-490
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    • 1998
  • We consider a class of discrete parameter processes on a locally compact Polish space $S$ arising from successive compositions of strictly stationary Markov random maps on $S$ into itself. Sufficient conditions for the existence of the stationary solution and the weak convergence of the distributions of $\{\Gamma_n \Gamma_{n-1} \cdots \Gamma_0x \}$ are given.

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STRONG CONVERGENCE OF AN ITERATIVE ALGORITHM FOR SYSTEMS OF VARIATIONAL INEQUALITIES AND FIXED POINT PROBLEMS IN q-UNIFORMLY SMOOTH BANACH SPACES

  • Jeong, Jae Ug
    • Korean Journal of Mathematics
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    • v.20 no.2
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    • pp.225-237
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    • 2012
  • In this paper, we introduce a new iterative scheme to investigate the problem of nding a common element of nonexpansive mappings and the set of solutions of generalized variational inequalities for a $k$-strict pseudo-contraction by relaxed extra-gradient methods. Strong convergence theorems are established in $q$-uniformly smooth Banach spaces.

Cartesian Closedness of the Category of Fibrewise Convergence Spaces

  • Lee, Seok Jong;Lee, Seung On;Lim, Jong Sul
    • Journal of the Chungcheong Mathematical Society
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    • v.6 no.1
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    • pp.45-52
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    • 1993
  • In this paper, we obtain the internal function space structure in the category of the fibrewise convergence spaces by means of the final structure. Moreover, we investigate cartesian closedness of the category of fibrewise convergence spaces which contains the category of fibrewise topological spaces as a full subcategory.

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CONVERGENCE THEOREMS OF THREE-STEP ITERATION METHODS FOR QUASI-CONTRACTIVE MAPPINGS

  • Hao, Jinbiao;Wang, Li;Kang, Shin-Min;Shim, Soo-Hak
    • East Asian mathematical journal
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    • v.18 no.2
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    • pp.261-270
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    • 2002
  • We obtain the convergence of three-step iteration methods and generalized three-step iteration methods for quasi-contractive and generalized quasi-contractive mappings, respectively, in Banach spaces. Our results extend the corresponding results in [1], [4]-[6].

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COMPLETE CONVERGENCE FOR ARRAYS OF ROWWISE INDEPENDENT RANDOM VARIABLES

  • Hu, Tien-Chung;Sung, Soo-Hak;Volodin, Andrei
    • Communications of the Korean Mathematical Society
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    • v.18 no.2
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    • pp.375-383
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    • 2003
  • Under some conditions on an array of rowwise independent random variables, Hu et at. (1998) obtained a complete convergence result for law of large numbers with rate {a$\_$n/, n $\geq$ 1} which is bounded away from zero. We investigate the general situation for rate {a$\_$n/, n $\geq$ 1) under similar conditions.

The effect of the new stopping criterion on the genetic algorithm performance

  • Kaya, Mustafa;Genc, Asim
    • Computers and Concrete
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    • v.27 no.1
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    • pp.63-71
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    • 2021
  • In this study, a new stopping criterion, called "backward controlled stopping criterion" (BCSC), was proposed to be used in Genetic Algorithms. In the study, the available stopping citeria; adaptive stopping citerion, evolution time, fitness threshold, fitness convergence, population convergence, gene convergence, and developed stopping criterion were applied to the following four comparison problems; high strength concrete mix design, pre-stressed precast concrete beam, travelling salesman and reinforced concrete deep beam problems. When completed the analysis, the developed stopping criterion was found to be more accomplished than available criteria, and was able to research a much larger area in the space design supplying higher fitness values.

CONVERGENCE THEOREMS OF PROXIMAL TYPE ALGORITHM FOR A CONVEX FUNCTION AND MULTIVALUED MAPPINGS IN HILBERT SPACES

  • Aggarwal, Sajan;Uddin, Izhar;Pakkaranang, Nuttapol;Wairojjana, Nopparat;Cholamjiak, Prasit
    • Nonlinear Functional Analysis and Applications
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    • v.26 no.1
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    • pp.1-11
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    • 2021
  • In this paper we study the weak and strong convergence to minimizers of convex function of proximal point algorithm SP-iteration of three multivalued nonexpansive mappings in a Hilbert space.