• 제목/요약/키워드: multistep method

검색결과 42건 처리시간 0.028초

A STUDY OF GENERALIZED ADAMS-MOULTON METHOD FOR THE SATELLITE ORBIT DETERMINATION PROBLEM

  • Hong, Bum Il;Hahm, Nahmwoo
    • Korean Journal of Mathematics
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    • 제21권3호
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    • pp.271-283
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    • 2013
  • In this paper, a generalized Adams-Moulton method that is a $m$-step method derived by using the Taylor's series is proposed to solve the satellite orbit determination problem. We show that our proposed method has produced much smaller error than the original Adams-Moulton method. Finally, the accuracy performance is demonstrated in the satellite orbit correction problem by giving a numerical example.

수치해석 및 계측자료 분석을 통한 막장볼트의 보강효과에 관한 연구 (A comparative analysis of prediction and measurement for reinforcement effect of face bolts)

  • 서경원;김웅구;백기현;김진웅
    • 한국터널지하공간학회 논문집
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    • 제12권5호
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    • pp.359-368
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    • 2010
  • 국내의 경우 터널 지반보강증 강관다단그라우팅 공법이 폭넓게 시용되지만 해외의 경우 시공성 및 경제성이 막장볼트 공법이 흔히 적용되고 있다. 본 논문에서는 국내 도로터널 붕락 발생시 적용한 강관다단그라우팅 및 막장볼트의 적용효과에 대해서 수치해석을 통해 분석해 보았다. 또한 해외 시공사례의 계측데이터를 바탕으로 두 공법의 보강효과에 대해 분석해 보았다. 본 연구를 통해 막장 전면에 파쇄대가 발달하는 경우 페이스공법도 막장보강에 효과적임을 알 수 있었다.

저토피 철도터널구간의 안전 및 시공성을 고려한 개선된 강관다단 그라우팅 공법 적용성 분석 (Applicability Analysis of an Improved Multistep Steel Pipe Grouting Method in Shallow Depth Railway Tunnels in Considering Safety and Constructability)

  • 김낙석;최기성;김석현
    • 대한토목학회논문집
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    • 제40권1호
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    • pp.97-103
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    • 2020
  • 저토피 철도터널구간의 안전 및 시공성을 고려한 굴착보조공법으로서 강관다단 그라우팅 기술이 선정되었다. 특히, 공사 중 과도한 주입압에 의한 지반파괴로 피해가 발생할 우려가 있어 기존 강관다단 그라우팅 공법을 새롭게 개선하여 적용하였다. 본 연구는 00공단에서 발주한 000노반시설 기타공사 구간 중 00안 고속도로 및 00휴게소(하행) 진입로 하부로 통과하는 토피고 11.3~12.1 m 두께의 저토피 철도터널 현장에서 수행하였다. 개선된 강관다단 그라우팅 공법은 새로운 한계주수시험법을 이용한 시공 전 시공조건 평가 기술, 절리의 간격평가, 적합한 주입압력 평가, 최적의 작업완료시간 평가, 주입유형분석에 의한 주입효과평가 기술 등이다. 개선된 강관다단 그라우팅 공법의 적용으로 터널굴착공사 중상부 저토피 구간의 도로를 원활하게 운영할 수 있는 근거를 마련할 수 있었다. 또한, 향후 저토피 구간의 터널강관다단 그라우팅 공사뿐만 아니라 다양한 터널(도로, 지하철, 공동구 등) 강관다단 그라우팅 공사에 적용될 수 있는 가능성을 확인하였다.

HOPF BIFURCATION IN NUMERICAL APPROXIMATION FOR DELAY DIFFERENTIAL EQUATIONS

  • Zhang, Chunrui;Liu, Mingzhu;Zheng, Baodong
    • Journal of applied mathematics & informatics
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    • 제14권1_2호
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    • pp.319-328
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    • 2004
  • In this paper we investigate the qualitative behaviour of numerical approximation to a class delay differential equation. We consider the numerical solution of the delay differential equations undergoing a Hopf bifurcation. We prove the numerical approximation of delay differential equation had a Hopf bifurcation point if the true solution does.

시공단계를 고려할 수 있는 유한요소 해석 모델 개발 (Development of finite element analysis model for multi-step excavation problem)

  • 이연규
    • 터널과지하공간
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    • 제6권4호
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    • pp.326-334
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    • 1996
  • In underground construction the multi-step excavation sequence is commonly adopted for the convenience of the underground work. A numerical simulation method which is capable of analyzing the effects of excavation sequence on the stability of the opening is greatly needed. In this study a two dimensional finite element code was developed based on the effective numerical algorithm for the multistep excavation. The practical applicability of the model was verified for the simplified excavation sequences.

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A GENERALIZATION OF THE ADAMS-BASHFORTH METHOD

  • Hahm, Nahm-Woo;Hong, Bum-Il
    • 호남수학학술지
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    • 제32권3호
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    • pp.481-491
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    • 2010
  • In this paper, we investigate a generalization of the Adams-Bashforth method by using the Taylor's series. In case of m-step method, the local truncation error can be expressed in terms of m - 1 coefficients. With an appropriate choice of coefficients, the proposed method has produced much smaller error than the original Adams-Bashforth method. As an application of the generalized Adams-Bashforth method, the accuracy performance is demonstrated in the satellite orbit prediction problem. This implies that the generalized Adams-Bashforth method is applied to the orbit prediction of a low-altitude satellite. This numerical example shows that the prediction of the satellite trajectories is improved one order of magnitude.

Multichannel Blind Equalization using Multistep Prediction and Adaptive Implementation

  • Ahn, Kyung-Seung;Hwang, Ho-Sun;Hwang, Tae-Jin;Baik, Heung-Ki
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2001년도 하계종합학술대회 논문집(1)
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    • pp.69-72
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    • 2001
  • Blind equalization of transmission channel is important in communication areas and signal processing applications because it does not need training sequence, nor does it require a priori channel information. Recently, Tong et al. proposed solutions for this problem exploit the diversity induced by antenna array or time oversampling, leading to the second order statistics techniques, fur example, subspace method, prediction error method, and so on. The linear prediction error method is perhaps the most attractive in practice due to the insensitive to blind equalizer length mismatch as well as for its simple adaptive filter implementation. Unfortunately, the previous one-step prediction error method is known to be limited in arbitrary delay. In this paper, we induce the optimal delay, and propose the adaptive blind equalizer with multi-step linear prediction using RLS-type algorithm. Simulation results are presented to demonstrate the proposed algorithm and to compare it with existing algorithms.

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A MODEL STUDY ON MULTISTEP RECOVERY OF ACTINIDES BASED ON THE DIFFERENCE IN DIFFUSION COEFFICIENTS WITHIN LIQUID METAL

  • CHUN, YOUNG-MIN;SHIN, HEON-CHEOL
    • Nuclear Engineering and Technology
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    • 제47권5호
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    • pp.588-595
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    • 2015
  • This study presents an effective method for additional recovery of residual actinides in liquid electrodes after the electrowinning process of pyroprocessing. The major distinctive feature of this method is a reactor with multiple reaction cells separated by partition walls in order to improve the recovery yield, thereby using the interelement difference in diffusion coefficients within the liquid electrode and controlling the selectivity and purity of element recovery. Through an example of numerical simulation of the diffusion scenarios of individual elements, we verified that the proposed method could effectively separate the actinides (U and Pu) and rare-earth elements contained in liquid cadmium. We performed a five-step consecutive recovery process using a simplified conceptual reaction cell and recovered 58% of the initial amount of actinides (U + Pu) in high purity (${\geq}99%$).

천체력 및 궤도 계산법 (NUMERICAL METHOD FOR THE ASTRONOMICAL ALMANAC AND ORBIT CALCULATIONS)

  • 김갑성
    • 천문학논총
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    • 제8권1호
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    • pp.137-151
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    • 1993
  • We have calculated the astronomical almanac 1994 and simulated the trajectory of a satellite orbit considering all perturbative forces with various initial conditions. In this work, Gauss Jackson multistep integration method has been used to calculate our basic equation of motion with high numerical accuracy. It has beer. found that our results agree well with the Astronomical Almanac Data distributed by JPL of NASA and the orbit simulations have been carried out with fast speed, stability and excellent round-off error accumulation, comparing with other numerical methods. In order to be carried out our works on almanac and orbit calculations easily by anyone who uses a personal computer, we have made a computer program on graphical user interface to provide various menus for detail works selected by a mouse.

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이중접속방식의 멀티스텝 인버터를 이용한 대용량 STATCOM의 개발 (Development of a Large Scale STATCOM Using Double-Connected Multistep Inverter)

  • 김태훈;배영상;최세완;이왕하
    • 전력전자학회논문지
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    • 제9권1호
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    • pp.36-41
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    • 2004
  • 본 논문에서는 이중접속 방식의 멀티스텝 인버터를 이용한 대용량 STATCOM에 관하여 동작원리 및 제어 방식을 기술하기로 한다. 기존의 12-스텝 인버터에 상간 변압기 및 간단한 보조회로를 이용하여 출력전압의 파형을 36-스텝으로 개선하였다. 이러한 방식의 인버터는 특히 10Mvar∼30Mvar급 전후의 STATCOM에 적용하면 경제적이다. 2KVA급 STATCOM 시작품의 실험결과로부터 제안한 방식의 타당성을 입증하였다.