• Title/Summary/Keyword: Numerical example

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MODIFIED NUMEROV METHOD FOR SOLVING SYSTEM OF SECOND-ORDER BOUNDARY-VALUE PROBLEMS

  • Al-Said, Eisa A.;Noor, Muhammad Aslam
    • Journal of applied mathematics & informatics
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    • v.8 no.1
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    • pp.129-136
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    • 2001
  • We introduce and discuss a new numerical method for solving system of second order boundary value problems, where the solution is required to satisfy some extra continuity conditions on the subintervals in addition to the usual boundary conditions. We show that the present method gives approximations which are better than that produced by other collocation, finite difference and spline methods. Numerical example is presented to illustrate the applicability of the new method. AMS Mathematics Subject Classification : 65L12, 49J40.

A STUDY FOR DEVELOPMENT OF FILM NEGATIVE IN BULK REACTION CASE

  • Ha, Sung-N.;Park, Jung-Joon
    • Journal of applied mathematics & informatics
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    • v.26 no.1_2
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    • pp.365-374
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    • 2008
  • We study a mathematical modeling for development of film negative and concentrate the bulk reaction problem. We prove nonnegativeness of developer, coupler and dye function in two dimensional case. Also we prove stability of our numerical scheme. Finally, we discuss numerical example which have specified constants.

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A Study on an Optimized Constant Pitch Propeller (일정피치 추진기의 최적화 연구에 관하여)

  • 장택수;홍사영
    • Journal of Ocean Engineering and Technology
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    • v.16 no.3
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    • pp.28-33
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    • 2002
  • Optimization of marine propellers of constant pitch is studied, with the help of the infinite dimensional optimization (Jang and Kinoshita, 2000a), which is based on the Hilbert space theory. As a numerical example, the MAU type propeller is considered and used as he initial guess for the optimization method. The numerical computations for an optimal marine propeller are performed for the constant pitch distribution. In addition, a new optimization is suggested with the constraint of constant pitch during optimization.

Semiparametric Bayesian multiple comparisons for Poisson Populations

  • Cho, Jang Sik;Kim, Dal Ho;Kang, Sang Gil
    • Communications for Statistical Applications and Methods
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    • v.8 no.2
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    • pp.427-434
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    • 2001
  • In this paper, we consider the nonparametric Bayesian approach to the multiple comparisons problem for I Poisson populations using Dirichlet process priors. We describe Gibbs sampling algorithm for calculating posterior probabilities for the hypotheses and calculate posterior probabilities for the hypotheses using Markov chain Monte Carlo. Also we provide a numerical example to illustrate the developed numerical technique.

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Optimization for PSC Box Girder Bridges Using Design Sensitivity Analysis (설계 민감도 해석을 이용한 PSC 박스거더교의 최적설계)

  • 조선규;조효남;민대홍;이광민;김환기
    • Proceedings of the Korea Concrete Institute Conference
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    • 2000.10a
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    • pp.205-210
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    • 2000
  • An optimum design algorithm of PSC box girder bridges using design sensitivity analysis is proposed in this paper. For the efficiency of the proposed algorithm, approximated reanalysis techniques using design sensitivity analysis are introduced. And also to save the numerical efforts, an efficient reanalysis technique through approximated structural responses is proposed. A design sensitivity analysis of structural response is executed by automatic differentiation(AD). The efficiency and robustness of the proposed algorithm, compared with conventional algorithm, is successfully demonstrated in the numerical example.

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Numerical Analysis of Turbulent Flows in the Scroll Volute of Centrifugal Compressor (벌류트 압축기내의 난류유동 수치해석)

  • Kwag, Seung-Hyun
    • Journal of Advanced Marine Engineering and Technology
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    • v.31 no.6
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    • pp.681-686
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    • 2007
  • The flow analysis was made by applying the turbulent models in the scroll volume of centrifugal compressor. The $k-{\varepsilon}.\;k-{\omega}$, Spalart-Allmaras and reynolds stress models are used in which the hybrid grid is applied for the simulation. The velocity vector the Pressure contour. the change of residual along the iteration number. and the dynamic head are simulated by solving the Navier-Stokes equations for the comparison of four example cases.

NUMERICAL SOLUTION OF A KYNAMIC SHAPE CONTROL PROBLEM

  • Choi, Wan-Sik;Belbas, Stavros A.
    • 제어로봇시스템학회:학술대회논문집
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    • 1995.10a
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    • pp.275-278
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    • 1995
  • In this paper, we consider a dynamic shape control problem with an example of controlling a flexible beam shape. Mathematical formulations are obtained by employing the Green's function approach. Necessary conditions for optimality are derived by considering the quadratic performance criteria. Numerical results for both of the dynamic and the static cases are obtained and compared.

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Mode Decomposition in Three Dimensional Cracks using Mutual Integrals

  • Kim, Young-Jong
    • International Journal of Precision Engineering and Manufacturing
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    • v.1 no.2
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    • pp.14-23
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    • 2000
  • A numerical scheme is proposed to obtain the individual stress intensity factors in an axisymmetric crack and in a three dimensional mixed mode crack. The method is based on the path independence of J and M integral and mutual or two-state conservation integral , which involves two elastic fields. Some numerical example are presented to investigate the effectiveness and applicability of the method for and axisymmetric crack and a three dimensional penny shaped crack problem under mixed mode.

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Spectral Analysis Method for the Dynamic Response of Linear Discrete Systems (선형 이산계의 동적응답을 위한 스펙트럴해석법)

  • Kim, Sung-Hwan;Lee, U-Sik
    • Proceedings of the KSME Conference
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    • 2003.11a
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    • pp.1654-1659
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    • 2003
  • This paper introduces a fast Fourier transform (FFT)-based spectral analysis method for the transient responses as well as the steady-state responses of linear discrete systems. The force vibration of a viscously damped three-DOF system is considered as the illustrative numerical example. The proposed spectral analysis method is evaluated by comparing with the exact analytical solutions as well as with the numerical solutions obtained by the Runge-Kutta method.

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Policy Capturing LP for Ranged Ratings in Performance Appraisal

  • Jung, Ho-Won
    • Management Science and Financial Engineering
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    • v.9 no.2
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    • pp.13-20
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    • 2003
  • For inferring criteria in a performance appraisal. linear programming (LP) has been utilized as an alternative to policy capturing (PC). Previous policy capturing LP (PCLP) studies were limited to the criteria of exact numerical ratings. However. under certain evaluation circumstances, a ranged rating with a lower and upper bound may be preferred over an exact numerical value. Therefore, this study introduces a new LP model that allows ranged ratings. A simple example is given to illustrate our model.