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THE NUMERICAL SOLUTION OF SHALLOW WATER EQUATION BY MOVING MESH METHODS
신수연,황운재 충청수학회 2012 충청수학회지 Vol.25 No.3
This paper presents a moving mesh method for solving the hyperbolic conservation laws. Moving mesh method consists of two independent parts: PDE evolution and mesh- redistribution. We compute numerical solution of shallow water equation by using moving mesh methods. In comparison with computations on a ¯xed grid, the moving mesh method appears more accurate resolution of discontinuities.
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Central schemes with Lax-Wendroff type time discretizations
신수연,황운재 대한수학회 2011 대한수학회보 Vol.48 No.4
The semi-discrete central scheme and central upwind scheme use Runge-Kutta (RK) time discretization. We do the Lax-Wendroff (LW)type time discretization for both schemes. We perform numerical experiments for various problems including two dimensional Riemann problems for Burgers' equation and Euler equations. The results show that the LW time discretization is more efficient in CPU time than the RK time discretization while maintaining the same order of accuracy.
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L(3; 2; 1)-LABELING FOR CYLINDRICAL GRID: THE CARTESIAN PRODUCT OF A PATH AND A CYCLE
김병문,황운재,송병철 강원경기수학회 2017 한국수학논문집 Vol.25 No.2
An L(3,2,1)-labeling for the graph G=(V,E) is an assignment f of a label to each vertices of G such that |f(u)−f(v)|≥4−k when dist(u,v)=k≤3. The L(3,2,1)-labeling number, denoted by λ3,2,1(G), for G is the smallest number N such that there is an L(3,2,1)-labeling for G with span N. In this paper, we compute the L(3,2,1)-labeling number λ3,2,1(G) when G is a cylindrical grid, which is the cartesian product Pm◻Cn of the path and the cycle, when m≥4 and n≥138. Especially when n is a multiple of 4, or m=4 and n is a multiple of 6, then we have λ3,2,1(G)=11. Otherwise λ3,2,1(G)=12.
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2-COLOR RADO NUMBER FOR x1 + x2 + · · · + xn = y1 + y2 = z
김병문,황운재,송병철 강원경기수학회 2020 한국수학논문집 Vol.28 No.2
An r-color Rado number N = R(L, r) for a system L of equations is the least integer, provided it exists, such that for every r-coloring of the set {1, 2, . . . , N}, there is a monochromatic solution to L. In this paper, we study the 2-color Rado number R(E, 2) for E : x1 + x2 + · · · + xn = y1 + y2 = z when n ≥ 4.
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Two-Dimensional Riemann Problem for Burgers' Equation
윤대기,황운재 대한수학회 2008 대한수학회보 Vol.45 No.1
In this paper, we construct the analytic solutions and nu-merical solutions for a two-dimensional Riemann problem for Burgers’equation. In order to construct the analytic solution, we use the charac-teristic analysis with the shock and rarefaction base points. We apply thecomposite scheme suggested by Liska and Wendro to compute numer-ical solutions. The result is coincident with our analytic solution. Thisdemonstrates that the composite scheme works pretty well for Burgers’equation despite of its simplicity.
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진현준,박노경,황운재,Jin Hyun-Joon,Park Nho-Kyung,Hwang Woon-Jae 대한전자공학회 2004 電子工學會論文誌-TC (Telecommunications) Vol.41 No.12
디지털 오디오 방송은 기존의 AM/FM 방송에 이은 고품질의 차세대 라디오 방송으로 CD수준의 음질, 다양한 데이터 서비스, 양방향성 및 우수한 이동 수신 품질 등을 제공하며 지상파 방송, 위성 방송, 케이블 TV 및 인터넷 등 다양한 매체를 통하여 서비스가 가능한 뉴미디어 서비스이다. 본 논문에서는 DAB(Digital Audio Broadcasting) 시스템이 오디오 방송뿐만 아니라 다양한 멀티미디어 서비스가 가능하다는 장점과 인터넷 단말기로서의 PC를 결합한 새로운 형태의 DAB 기반 EPG(Electronic Program Guide) 응용 기술에 대하여 연구하였다. 개발된 EPSD(EPG Provider System on DAB)시스템은 웹 기반의 서버/클라이언트 구조를 가지며 서버에서 클라이언트 PC로 다양한 EPG 기능을 제공한다. 따라서 DAB 수신기가 보다 저렴하고 소형화될 수 있으며 인터넷과 연결되어 풍부한 데이터 서비스의 개발이 가능하게 된다. 특히 고품질 영상 서비스가 가능하고 기존의 디지털 장비와의 연결 또한 수월하여 추후 홈 네트워크의 중요한 단말 장치로서의 역할을 담당할 것이다. DAB(Digital Audio Broadcasting) is a new media service that can provide CD quality audio, various data service, interactive and high quality mobile communications through popular media such as terrestrial broadcasting, satellite, cable TV, and internet. In this paper, a new EPG(Electronic Program Guide) application model is proposed. The model is based on DAB and combines a DAB receiver and PCs so that it can take advantages of using various multimedia services and plenty of internet contents. The developed EPSD(EPG Provider System on DAB) has Web-based Server/Client structure and povides EPG functionalities to client PCs over internet. Therefore, the DAB receiver can be smaller and cheaper, and can develop abundant data services on internet. It can also provide high quality video services and be expected to become an important component in future home network systems.
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Adaptive mesh refinement for weighted essentially non-oscillatory schemes
윤대기,Hongjoong Kim,황운재 대한수학회 2008 대한수학회보 Vol.45 No.4
In this paper, we describe the application procedure of the adaptive mesh refinement (AMR) for the weighted essentially non-oscillatory schemes (WENO), and observe the effects of the derived algorithm when problems have piecewise smooth solutions containing discontinuities. We find numerically that the dissipation of the WENO scheme can be lessened by the implementation of AMR while the accuracy is maintained. We deduce from the experiments that the AMR-implemented WENO scheme captures shocks more efficiently than the WENO method using uniform grids. In this paper, we describe the application procedure of the adaptive mesh refinement (AMR) for the weighted essentially non-oscillatory schemes (WENO), and observe the effects of the derived algorithm when problems have piecewise smooth solutions containing discontinuities. We find numerically that the dissipation of the WENO scheme can be lessened by the implementation of AMR while the accuracy is maintained. We deduce from the experiments that the AMR-implemented WENO scheme captures shocks more efficiently than the WENO method using uniform grids.
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김동일(Dongil Kim),황운재(Woonjae Hwang),김홍중(Hongjoong Kim),손지영(Jiyoung Son),김정호(Jeongho Kim),이기정(Kijeong Lee),신재현(Jaehyun Shin) 한국HCI학회 2012 한국HCI학회 학술대회 Vol.2012 No.1
본 연구에서는 장애학생 고등교육 환경에서 수학 영역을 중심으로 e-러닝 프로그램을 개발하고 사용성 평가를 실시하여, e-러닝 프로그램 개발의 실제적인 고려사항과 장애학생 평가를 통한 개발 전략의 개선점이 무엇인지를 탐색하고자 하였다. 이에 문헌연구를 통해 장애학생 대상의 e-러닝 설계 전략을 도출하고 수학 미적분학 내용에서 필요한 자료제시 전략을 실제로 구현하여 e-러닝 강좌를 개발하였다. 개발된 프로그램에 대해서는 5 명의 장애학생들이 프로그램 구성과 인터페이스 등에 대해 사용성 평가를 실시하였다. 연구결과, 수식을 디지털화하여 제시하는 특수 언어의 사용, 수식과 그래프의 대체텍스트 제공, 다양한 확대 및 설정 변경 기능, 동기화된 자막 제공 등이 실제적 고려사항으로 나타났다. 장애학생의 사용성 평가 결과, 수식과 그래프의 간결한 제시, 다양한 학습자 조절 기능 제공, 음성정보와 자막의 원활한 연동, 대체텍스트 제공의 보완, 단순한 화면 구성 등이 개선점으로 제시되었다. The purpose of the study is to develop and evaluate an e-learning program for college students with disabilities in the math area. An e-learning module of teaching calculus was developed according to design strategies for students with disabilities. Then, five college students with disabilities(vision, hearing, and mobility disability) evaluated the usability of the e-learning program. The e-learning contents were consisted of learning materials in a variety of formulation, graph, and media to support students with disabilities. The results of the study showed that the practical strategies of e-learning development are digitalizing formulas using MathML, providing alternative text, controlling various functions, and synchronized captions. Additionally, through the results of usability testing a number of solutions to improve the e-learning program were suggested as follows: concisely representing of formulation and graph, multiple controls of size and pace, smooth linkage between voice and captions, alt-text descriptions of most image files, and simple user interface design.
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