• 제목/요약/키워드: initial value method

검색결과 1,003건 처리시간 0.031초

A FINITE ELEMENT SOLUTION FOR THE CONSERVATION FORM OF BBM-BURGERS' EQUATION

  • Ning, Yang;Sun, Mingzhe;Piao, Guangri
    • East Asian mathematical journal
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    • 제33권5호
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    • pp.495-509
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    • 2017
  • With the accuracy of the nonlinearity guaranteed, plenty of time and large memory space are needed when we solve the finite element numerical solution of nonlinear partial differential equations. In this paper, we use the Group Element Method (GEM) to deal with the non-linearity of the BBM-Burgers Equation with Conservation form and perform a numerical analysis for two particular initial-boundary value (the Dirichlet boundary conditions and Neumann-Dirichlet boundary conditions) problems with the Finite Element Method (FEM). Some numerical experiments are performed to analyze the error between the exact solution and the FEM solution in MATLAB.

단일 실행의 빠른 근사해 기법과 반복 실행의 최적화 기법을 이용한 이산형 시스템의 시뮬레이션 연구 (Simulation Study of Discrete Event Systems using Fast Approximation Method of Single Run and Optimization Method of Multiple Run)

  • 박경종;이영해
    • 대한산업공학회지
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    • 제32권1호
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    • pp.9-17
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    • 2006
  • This paper deals with a discrete simulation optimization method for designing a complex probabilistic discrete event simulation. The developed algorithm uses the configuration algorithm that can change decision variables and the stopping algorithm that can end simulation in order to satisfy the given objective value during single run. It tries to estimate an auto-regressive model for evaluating correctly the objective function obtained by a small amount of output data. We apply the proposed algorithm to M/M/s model, (s, S) inventory model, and known-function problem. The proposed algorithm can't always guarantee the optimal solution but the method gives an approximate feasible solution in a relatively short time period. We, therefore, show the proposed algorithm can be used as an initial feasible solution of existing optimization methods that need multiple simulation run to search an optimal solution.

EXISTENCE AND LONG-TIME BEHAVIOR OF SOLUTIONS TO NAVIER-STOKES-VOIGT EQUATIONS WITH INFINITE DELAY

  • Anh, Cung The;Thanh, Dang Thi Phuong
    • 대한수학회보
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    • 제55권2호
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    • pp.379-403
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    • 2018
  • In this paper we study the first initial boundary value problem for the 3D Navier-Stokes-Voigt equations with infinite delay. First, we prove the existence and uniqueness of weak solutions to the problem by combining the Galerkin method and the energy method. Then we prove the existence of a compact global attractor for the continuous semigroup associated to the problem. Finally, we study the existence and exponential stability of stationary solutions.

유전자 알고리듬을 이용한 조류계산 (Load Flow Calculation Using Genetic Algorithm)

  • 김형철;이장무;차준민;최재석;권세혁
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2005년도 제36회 하계학술대회 논문집 A
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    • pp.78-80
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    • 2005
  • The load flow calculation is one of the most critical issues in electrical power systems. Generally, load flow has been calculated by Gauss-Seidel method and Newton-Raphson method but these methods have some problems such as non-convergence due to heavy load and initial value. In this paper, to overcome such problems, the power flow is calculated by genetic algorithm. At the heavy load, the solution for problem can not be obtained by the Newton-Raphson method. However, it can be solved in case of using genetic algorithm. In this paper, the strong point of this method would be demonstrated in application to an example system.

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역해석 기법을 이용한 수치해의 오차 분석 연구 (A Study on the Error Analysis of the Numerical Solution using Inverse Method)

  • 양성욱;이상철
    • 한국항공운항학회지
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    • 제16권2호
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    • pp.21-27
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    • 2008
  • An inverse method is introduced to construct the problem for the error analysis of the numerical solution of initial value problem. These problems constructed through this method have a known exact solution, even though analytical solutions are generally not obtainable. The process leading to the exact solution makes use of an initially available approximate numerical solution. A smooth interpolation of the approximate solution is forced to exactly satisfy the differential equation by analytically deriving a small forcing function to absorb all of the errors in the interpolated approximate solution. Using this special case exact solution, it is possible to investigate the relationship between global errors of a candidate numerical solution process and the associated tuning parameters for a given problem. Under the assumption that the original differential equation is well-posed with respect to the small perturbations, we thereby obtain valuable information about the optimal choice of the tuning parameters and the achievable accuracy of the numerical solution.

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Buckling analysis of composite plates using differential quadrature method (DQM)

  • Darvizeh, M.;Darvizeh, A.;Sharma, C.B.
    • Steel and Composite Structures
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    • 제2권2호
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    • pp.99-112
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    • 2002
  • The differential quadrature method (DQM) is a numerical technique of rather recent origin, which by its continually increasing applications in different problems of engineering, is a competing alternative to the conventional numerical techniques for the solution of initial and boundary value problems. The work of this paper concerns the application of the DQM in the area of the buckling of multi layered orthotropic composite plates with various boundary conditions the buckling of multi layered composite plates with constant and variable thickness under axial compressive static loading is considered. The effects of fiber orientation and boundary conditions on static behavior of composite plates are presented. The comparison of results from the present method and those obtained from NISA II software shows the accuracy and reliability of this method.

형태 보존성을 위한 자유 형태 곡선 보간 방법 (Free-Form Curve Interpolation Method for Shape Preservation)

  • 이아리;박철호;심재홍
    • 한국정보처리학회논문지
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    • 제6권3호
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    • pp.758-765
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    • 1999
  • Shape-preserving property is the important method that controls the complex free form curve/surface. Interpolation method for the existed Shape-Preservation had problems that it has needed the minimization of a curvature-related functions for calculating single-valued data. Solving this problem, in this paper, it proposed to the algorithm of generalizing C piecewise parametric cubic that has shape-preserving property for both Single-value data and Multivalue data. When there are the arbitrary tangents and two data, including shape-preserving property, this proposed method gets piecewise parametric cubic polynomial by checking the relation between the shape-preserving property and then calculates efficiently the control points using that. Also, it controls the initial shape using curvature distribution on curve segments.

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농촌지도사업 프로그램 평가와 농촌지도사의 역할 (The Roles and Challenges of Agricultural Extension Program Evaluation)

  • 박덕병
    • 농촌지도와개발
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    • 제10권1호
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    • pp.43-56
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    • 2003
  • Evaluation in both an art and a science. The art of evaluation involves working with the management to agree upon purpose and users of results, creating design and gathering information that are appropriate for a specific situation and a particular policy making context. The value of evaluating extension p개grams has received a lot of attentions recently, and many extension educations see evaluation as an integral part of their work. The science of evaluation involves determining standards and developing indicatiors, selecting methods appropriate to gather information in a systematic way, analyzing information to assist in determining the value of the program in an objective manner. First, extension specialists have to consider relative merits about methods of gathering evaluation data. Selection of method should be influenced by the type of information desired, time availability, and cost of using the method. Second, good evaluations involve stakeholders at all stages including planning, implementation, and utilization of results. Third, far from being an "add-on ," evaluation begins with the initial planning of an educational program. Fourth, it is important for extension specialists that although evaluation is valuable and essential in any effective program, one of the biggest mistakes of extension program evaluators in to promise results that cannot possibly solve all the problems of project.

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다층 구조 신경회로망의 학습 속도 향상을 위한 활성화 함수의 변화 (Variation of activation functions for accelerating the learning speed of the multilayer neural network)

  • 이병도;이민호
    • 센서학회지
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    • 제8권1호
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    • pp.45-52
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    • 1999
  • 이 논문에서는 오차 역전파 학습 알고리듬의 학습 속도를 향상시키기 위한 새로운 학습 방법을 제안한다. 제안하고자 하는 방법은 시그모이드 형태를 갖는 신경회로망의 활성화 함수(activation function) 자체에 고차항(higher order)을 적절히 이용하여 초기 학습 단계에서 발생할 수 있는 조기 포화(premature saturation) 현상을 계산량의 큰 증가 없이 효과적으로 대처할 수 있다. 고차항을 이용함으로써 은닉층 활성화 함수의 도합수가 작은 값으로 감소함에 따라 신경망의 연결 강도를 학습시키는 학습율은 적응적으로 큰 값을 갖게 된다. 또한, 은닉층에 고차항을 이용하는 제안한 방법에 모멘텀(momentum) 학습 알고리듬을 결합하는 새로운 hybrid 학습 방법을 제안한다. 컴퓨터 모의 실험을 통해 제안하고자 하는 학습 방법과 기존의 방법들과의 학습 속도 성능을 비교한다.

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표면 열전달 저항이 배제된 건물 벽체 열성능 현장 측정 기법 (In-situ Measurement Technique for Thermal Performance of Building Wall Excluding Surface Heat Transfer Resistance)

  • 김승철;김상봉;나환선
    • KEPCO Journal on Electric Power and Energy
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    • 제6권2호
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    • pp.151-155
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    • 2020
  • In this paper, a new experimental method to determine the thermal resistance of building wall was proposed by improving the heat flow method (HFM) based on the air-surface temperature ratio theory. This technique measures the thermal resistance of the wall excluding the inner and outer surface heat transfer resistance. Unlike conventional HFM, this value can be compared directly with the theoretical reference value. Its performance was verified using three mock-up structures with a theoretical thermal transmittance of 0.5, 3.3, and 0.18 W/㎡·K respectively. After measuring the variations in the temperature and heat transfer rate of the mock-ups for 383 hours, the thermal transmittances were determined to be 0.47, 3.10, and 0.18 W/㎡·K, which corresponded to errors of 5.2, 6.2 and 0.5%, respectively, compared to the theoretical values. It was concluded that this technique can directly compare the thermal resistance of the wall between the existent stage and initial stage after construction.