• Title/Summary/Keyword: Iteration

Search Result 1,887, Processing Time 0.034 seconds

A New Time Stepping Method for Solving One Dimensional Burgers' Equations

  • Piao, Xiang Fan;Kim, Sang-Dong;Kim, Phil-Su;Kim, Do-Hyung
    • Kyungpook Mathematical Journal
    • /
    • v.52 no.3
    • /
    • pp.327-346
    • /
    • 2012
  • In this paper, we present a simple explicit type numerical method for discretizations in time for solving one dimensional Burgers' equations. The proposed method does not need an iteration process that may be required in most implicit methods and have good convergence and efficiency in computational sense compared to other known numerical methods. For evidences, several numerical demonstrations are also provided.

On the Iterated Duggal Transforms

  • Cho, Muneo;Jung, Il-Bong;Lee, Woo-Young
    • Kyungpook Mathematical Journal
    • /
    • v.49 no.4
    • /
    • pp.647-650
    • /
    • 2009
  • For a bounded operator T = $U{\mid}T{\mid}$ (polar decomposition), we consider a transform b $\widehat{T}$ = ${\mid}T{\mid}U$ and discuss the convergence of iterated transform of $\widehat{T}$ under the strong operator topology. We prove that such iteration of quasiaffine hyponormal operator converges to a normal operator under the strong operator topology.

Hierachical 3-D Shape Reconstruction from Shading Using Genetic Algorithm (유전자 알고리즘을 이용한 밝기 정보로부터 3차원 표면 형상의 재구성)

  • 안은영;박현남;조형제
    • Proceedings of the Korean Information Science Society Conference
    • /
    • 1998.10c
    • /
    • pp.476-478
    • /
    • 1998
  • 본 논문에서는 영상의 밝기 정보로부터 물체의 표면 형상을 재구성하는 새로운 접근 방법을 제시한다. 이미지 모델은 기존의 Lambertian surface model에 거리 요소를 포함시켜 보다 현실과 비슷한 제약 조건을 주고, 국지 해(local minima)에 빠지기 쉬운 기존의 iteration 방법을 탈피하기 위해 유전자 알고리즘(genetic algorithm)을 도입한다. 표면의 깊이 정보를 이산여현변환(discrete cosine transform)하고 이 DCT 공간상에서 유전자 알고리즘을 적용함으로써 큰 형상을 먼저 결정한 후 미세한 형상을 찾아내는 계층적인 표면 형상의 재구성이 가능하도록 하였으며 간단한 실험으로 그 타당성을 보인다.

  • PDF

Research of Integrated System Design Process for Concurrency Design Activity (동시적 업무수행을 위한 통합된 시스템 설계 프로세스연구)

  • 김진훈;박영원
    • Proceedings of the Korean Society for Quality Management Conference
    • /
    • 2004.04a
    • /
    • pp.103-108
    • /
    • 2004
  • This paper will describe integrated system design process and its application. Integrated design process is performed activities concurrently and sequentially for product development. For a group of activities to be truly integrated, the flow of deliverables among them must be well defined, and committed to. For this purpose, the study will suggest procedure that is executed context analysis of standard process, interface definition from activity decomposition, integration of related activities, and definition of concurrency & sequential activities flow, This procedure and method will contribute to minimize time loss that is emerged from activities iteration by not definitely definition of activities interface.

  • PDF

Identification of Multiple Outlying Cells in Multi-way Tables

  • Lee, Jong Cheol;Hong, Chong Sun
    • Communications for Statistical Applications and Methods
    • /
    • v.7 no.3
    • /
    • pp.687-698
    • /
    • 2000
  • An identification method is proposed in order to detect more than one outlying cells in multi-way contingency tables. The iterative proportional fitting method is applied to get expected values of several suspected outlying cells. Since the proposed method uses minimal sufficient statistics under quasi log-linear models, expected counts of outlying cells could be estimated under any hierarchical log-linear models. This method is an extension of the backwards-stepping method of Simonoff(1988) and requires les iteration to identify outlying cells.

  • PDF

Study on the Stress Singularity of Interface Crack by using Boundary Element Method (경계요소법을 이용한 계면균열의 응력특이성에 관한 고찰)

  • 조종두;곽시형
    • Proceedings of the Korean Society of Precision Engineering Conference
    • /
    • 1994.10a
    • /
    • pp.837-842
    • /
    • 1994
  • The boundary element method was used for studying singularities of an interface crack with contact zones. Because the contact zone size was extremely small in a tention field, a large number of Gaussian points were is used for numerical integration of the Kernels. In order to estimate the contact zone size, iteration method was used. The interface crack tips with contact zones showed no oscillatory behavior and J-integral values across the interface were conserved.

  • PDF

Postbuckling Behavior of Composite Laminated Cylinder under Lateral Pressure (횡방향 압력을 받는 복합적층 원통실린더의 좌굴후 거동해석)

  • 조종두;김헌주
    • Proceedings of the Korean Society of Precision Engineering Conference
    • /
    • 1994.10a
    • /
    • pp.843-846
    • /
    • 1994
  • The bucking and postbuckling behavior of composite laminated long cylinders under lateral pressure are investigated by the nonlinear finite element method. A long cylinder of 3-D shell problem is modelled as 2-D plane strain problem for analysis. And for the finite element analysis, eight nodes quadratic element is utilized. Arc-length method is adopted for the iteration and load-increment along postbuckling equilibrium path. The composite laminated cylinders in study are composed of cross-plied uniaxially reinforced shells. As a prsult, buckling load and postbuckling behavior are discussed.

  • PDF

CONVERGENCE THEOREMS ON VISCOSITY APPROXIMATION METHODS FOR FINITE NONEXPANSIVE MAPPINGS IN BANACH SPACES

  • Jung, Jong-Soo
    • The Pure and Applied Mathematics
    • /
    • v.16 no.1
    • /
    • pp.85-98
    • /
    • 2009
  • Strong convergence theorems on viscosity approximation methods for finite nonexpansive mappings are established in Banach spaces. The main theorem generalize the corresponding result of Kim and Xu [10] to the viscosity approximation method for finite nonexpansive mappings in a reflexive Banach space having a uniformly Gateaux differentiable norm. Our results also improve the corresponding results of [7, 8, 19, 20].

  • PDF

A Note on Methodologies Used in I-O Forecasting Model

  • Kim, Dai-Young
    • Journal of the Korean Statistical Society
    • /
    • v.5 no.1
    • /
    • pp.35-48
    • /
    • 1976
  • Since the solution vector for input-output forecasting models is not directly obtainable, several iterative procedures have been proposed and utilized. As is often the case in numerical analysis, the question of the consistency between the original system and the converged system of the proposed iteration has been ignored, and no one has tried to express the converged solution explicitly. This paper examines this question and points out the inconsistencies between various well-known iterative procedures used to solve input-output models and the original input-output system.

  • PDF

An analysis of progressing buckles of thin compressed beam with contact treatment (접촉을 고려한 보의 탄소성 좌굴진행 해석)

  • 김종봉;양동열
    • Proceedings of the Korean Society for Technology of Plasticity Conference
    • /
    • 1997.10a
    • /
    • pp.28-31
    • /
    • 1997
  • Buckling analysis of thin compressed beam has been carried out. Pre-buckling and post-buckling are simulated by finite element method incorporating with the incremental nonlinear theory and the Newton-Raphson solution technique. In order to find the bifurcation point, the determinent of the stiffness matrix is calculated at every iteration procedure. For post-buckling analysis, a small perturbed initial guess is given along the eigenvector direction at the bifurcation point. Nonlinear elastic buckling and elastic-plastic buckling of cantilever beam are analyzed. The buckling load and buckled shape of the two models are compared.

  • PDF