• Title/Summary/Keyword: decomposition method

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LSI-Updating Application for Internet-based Information Retrieval - LSI Improvement Using QR Decomposition (인터넷기반 정보 검색을 위한 LSI 활용 - QR 분해를 이용한 LSI 향상)

  • 박유진;송만석
    • Proceedings of the IEEK Conference
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    • 2001.06c
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    • pp.47-50
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    • 2001
  • This paper took advantage of SVD (Singular value Decomposition) techniques of LSI(Latent Semantic Indexing) to grasp easily terminology distribution. Existent LSI did to static database, propose that apply to dynamic database in this paper. But, if dynamic applies LSI to database, updating problem happens. Existent updating way is Recomputing method, Folding-in method, SVD-updating method. Proposed QR decomposition method to show performance improvement than existent three methods in this paper.

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THE COMBINED MODIFIED LAPLACE WITH ADOMIAN DECOMPOSITION METHOD FOR SOLVING THE NONLINEAR VOLTERRA-FREDHOLM INTEGRO DIFFERENTIAL EQUATIONS

  • HAMOUD, AHMED A.;GHADLE, KIRTIWANT P.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.21 no.1
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    • pp.17-28
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    • 2017
  • A combined form of the modified Laplace Adomian decomposition method (LADM) is developed for the analytic treatment of the nonlinear Volterra-Fredholm integro differential equations. This method is effectively used to handle nonlinear integro differential equations of the first and the second kind. Finally, some examples will be examined to support the proposed analysis.

Ozone Dentisity Estimation and Stable Supply in the Growth Process of BSCCO Thin Film

  • Lee, Hee-Kab;Park, Yong-Pil
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2000.10a
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    • pp.45-49
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    • 2000
  • An ozone condenser by a selective adsorption on the silica gel surface is constructed. Ozone density is evaluated by three methods; ultraviolet absorption, thermal decomposition and Q-mass analyzing methods. Thermal decomposition method is found to be available to the density evaluation from dilute to highly condensed ozone. The highest ozone density condensed by the adsorption method is evaluated to be 97 mol%.

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DECOMPOSITION METHOD FOR SOLVING NONLINEAR INTEGRO-DIFFERENTIAL EQUATIONS

  • KAMEL AL-KHALED;ALLAN FATHI
    • Journal of applied mathematics & informatics
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    • v.19 no.1_2
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    • pp.415-425
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    • 2005
  • This paper outlines a reliable strategy for solving nonlinear Volterra-Fredholm integro-differential equations. The modified form of Adomian decomposition method is found to be fast and accurate. Numerical examples are presented to illustrate the accuracy of the method.

A NEW APPLICATION OF ADOMIAN DECOMPOSITION METHOD FOR THE SOLUTION OF FRACTIONAL FOKKER-PLANCK EQUATION WITH INSULATED ENDS

  • Ray, Santanu Saha
    • Journal of applied mathematics & informatics
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    • v.28 no.5_6
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    • pp.1157-1169
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    • 2010
  • This paper presents the analytical solution of the fractional Fokker-Planck equation by Adomian decomposition method. By using initial conditions, the explicit solution of the equation has been presented in the closed form and then the numerical solution has been represented graphically. Two different approaches have been presented in order to show the application of the present technique. The present method performs extremely well in terms of efficiency and simplicity.

Simplification of Boundary Representation Models Based on Stepwise Volume Decomposition (단계적 볼륨분해에 기반한 경계표현 모델의 단순화)

  • Kim, Byung Chul;Mun, Duhwan
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.37 no.10
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    • pp.1305-1313
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    • 2013
  • In this study, a method to apply feature-based simplification to boundary representation models is proposed. For feature-based simplification, a volume decomposition tree is created from a boundary representation model. The volume decomposition tree is represented by regularized Boolean operations of additive volumes, subtractive volumes, and fillet/round/chamfer volumes, and it is generated by stepwise volume decomposition, which consists of fillet/round/chamfer decomposition, wrap-around decomposition, volume split decomposition, and cell-based decomposition. After the volume decomposition tree is transformed to an infix expression, the CAD model can be simplified by reordering the volumes. To verify the proposed method, a prototype system was implemented, and experiments on test cases were conducted. From the results of the experiments, it is verified that the proposed method is useful for simplifying CAD models based on boundary representation.

The Function Construction based on Modular Design Technique (모듈러 설계기법에 기초한 함수구성)

  • Park, Chun-Myoung
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2012.10a
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    • pp.918-919
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    • 2012
  • This paper present a method of function decomposition and input variable manipulation method based on modular design techniques. We obtain the column multiplicity of decomposition function according to row decomposition method. Also, the proposed partial decomposition function have advantage which is able to omit control function using t-Gate. We find the advantage for internal connection decrement 12% and T-gate number 16%, therefore we find the simple design circuit.

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Parallel Finite Element Analysis System Based on Domain Decomposition Method Bridges (영역분할법에 기반을 둔 병렬 유한요소해석 시스템)

  • Lee, Joon-Seong;Shioya, Ryuji;Lee, Eun-Chul;Lee, Yang-Chang
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.22 no.1
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    • pp.35-44
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    • 2009
  • This paper describes an application of domain decomposition method for parallel finite element analysis which is required to large scale 3D structural analysis. A parallel finite element method system which adopts a domain decomposition method is developed. Node is generated if its distance from existing node points is similar to the node spacing function at the point. The node spacing function is well controlled by the fuzzy knowledge processing. The Delaunay triangulation method is introduced as a basic tool for element generation. Domain decomposition method using automatic mesh generation system holds great benefits for 3D analyses. Aa parallel numerical algorithm for the finite element analyses, domain decomposition method was combined with an iterative solver, i.e. the conjugate gradient(CG) method where a whole analysis domain is fictitiously divided into a number of subdomains without overlapping. Practical performance of the present system are demonstrated through several examples.

Adaptive Parallel Decomposition for Multidisciplinary Design

  • Park, Hyung-Wook;Lee, Se J.;Lee, Hyun-Seop;Park, Dong-Hoon
    • Journal of Mechanical Science and Technology
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    • v.18 no.5
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    • pp.814-819
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    • 2004
  • The conceptual design of a rotorcraft system involves many different analysis disciplines. The decomposition of such a system into several subsystems can make analysis and design more efficient in terms of the total computation time. Adaptive parallel decomposition makes the structure of the overall design problem suitable to apply the multidisciplinary design optimization methodologies and it can exploit parallel computing. This study proposes a decomposition method which adaptively determines the number and sequence of analyses in each sub-problem corresponding to the available number of processors in parallel. A rotorcraft design problem is solved and as a result, the adaptive parallel decomposition method shows better performance than other previous methods for the selected design problem.

Domain Decomposition using Substructuring Method and Parallel Computation of the Rigid-Plastic Finite Element Analysis (부구조법에 의한 영역 분할 및 강소성 유한요소해석의 병렬 계산)

  • Park, Keun;Yang, Dong-Yol
    • Transactions of Materials Processing
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    • v.7 no.5
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    • pp.474-480
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    • 1998
  • In the present study a domain decomposition scheme using the substructuring method is developed for the computational efficiency of the finite element analysis of metal forming processes. in order to avoid calculation of an inverse matrix during the substructuring procedure, the modified Cholesky decomposition method is implemented. As obtaining the data independence by the substructuring method the program is easily paralleized using the Parallel Virtual machine(PVM) library on a work-station cluster connected on networks. A numerical example for a simple upsetting is calculated and the speed-up ratio with respect to various number of subdomains and number of processors. The efficiency of the parallel computation is discussed by comparing the results.

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