• 제목/요약/키워드: Successive Approximation

검색결과 128건 처리시간 0.026초

Approximating Coupled Solutions of Coupled PBVPs of Non-linear First Order Ordinary Differential Equations

  • Dhage, Bapurao Chandrabhan
    • Kyungpook Mathematical Journal
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    • 제56권1호
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    • pp.221-233
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    • 2016
  • The present paper proposes a new monotone iteration method for existence as well as approximation of the coupled solutions for a coupled periodic boundary value problem of first order ordinary nonlinear differential equations. A new hybrid coupled fixed point theorem involving the Dhage iteration principle is proved in a partially ordered normed linear space and applied to the coupled periodic boundary value problems for proving the main existence and approximation results of this paper. An algorithm for the coupled solutions is developed and it is shown that the sequences of successive approximations defined in a certain way converge monotonically to the coupled solutions of the related differential equations under some suitable mixed hybrid conditions. A numerical example is also indicated to illustrate the abstract theory developed in the paper.

Analysis of cross-talk effects in volume holographic interconnections using perturbative integral expansion method

  • Jin, Sang-Kyu
    • Journal of the Optical Society of Korea
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    • 제2권2호
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    • pp.58-63
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    • 1998
  • Cross-talk effects in high-density volume holographic interconnections are investigated using perturbative iteration method of the integral form of Maxwell's wave equation. In this method, the paraxial approximation and negligence of backward scattering introduced in conventional coupled mode theory is not assumed. Interaction geometries consisting of non-coplanar light waves and multiple index gratings are studied. Arbitrary light polarization is considered. Systematic analysis of cross-talk effects due to multiple index gratings is performed in increasing level of diffraction orders corresponding to successive iterations. Some numerical examples are given for first and third order diffraction.

Multiple light diffraction theory in volume gratings using perturbative integral expansion method

  • Jin, Sang-Kyu
    • Journal of the Optical Society of Korea
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    • 제1권2호
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    • pp.67-73
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    • 1997
  • Light wave diffraction from multiple superposed volume gratings is inestigated using a perturbative iteration method of the integral equation of Maxwell's wave equation. The host material and index gratings are anisotropic and non-coplanar multiple volume gratings are considered. In this method, the paraxial approximation and lack of backward scattering in conventional coupled mode theory are not assumed. Systematic analysis of anisotropic wave diffraction due to multiple noncoplanar volume index gratings is performed in increasing level of diffraction orders corresponding to successive iterations.

기술이전을 위한 기술가치 평가모텔 연구 (A Study on Development of Technology Valuation Model for Technology Transfer)

  • 박현우;정혜순;유선희
    • 한국기술혁신학회:학술대회논문집
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    • 한국기술혁신학회 2001년도 추계학술대회
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    • pp.201-222
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    • 2001
  • This study proposes a technology valuation model applicable for technology transfer or transaction, based on the review of theoretical models and practical applications. The model analyzes individual technologies that can be transacted as economic goods in terms of intellectual properties as subjects of transaction. The valuation of technology for transfer or transaction needs to be performed in view of demand side rather than supply side. This study suggests a successive approximation method in order to evaluate value of technologies quantitatively

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신경회로망을 이용한 함수의 근사와 동적 시스템에의 응용 (Approximation of the functional by neural network and its application to dynamic systems)

  • 엄태덕;홍선기;김성우;이주장
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1994년도 Proceedings of the Korea Automatic Control Conference, 9th (KACC) ; Taejeon, Korea; 17-20 Oct. 1994
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    • pp.313-318
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    • 1994
  • It is well known that the neural network can be used as an universal approximater for functions and functionals. But these theoretical results are just an existence theorem and do not lead to decide the suitable network structure. This doubfulness whether a certain network can approximate a given function or not, brings about serious stability problems when it is used to identify a system. To overcome the stability problem, We suggest successive identification and control scheme with supervisory controller which always assures the identification process within a basin of attraction of one stable equilibrium point regardless of fittness of the network.

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Simulink을 이용한 10bit 20MSPS Successive Approximation Register ADC의 모델링 (Modeling of 10bit 20MSPS SAR ADC using Simulink)

  • 박재정;문병권;김대정
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2008년도 하계종합학술대회
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    • pp.461-462
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    • 2008
  • An elaborate Simulink model for a nonredundant 10bit 20MSPS SAR ADC is proposed to verify its algorithm and to consider the real transistor-level issues of analog blocks. Some electrical trade-offs and power issues are considered.

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웨이블릿 영역에서 근사 계수의 증감 정보를 이용한 블라인드 워터마크 (A Blind Watermarking Technique Using Difference of Approximation Coefficients in Wavelet Domain)

  • 윤혜진;성영경;최태선
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2002년도 하계종합학술대회 논문집(4)
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    • pp.219-222
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    • 2002
  • In this paper, we propose a new blind image watermarking method in wavelet domain. It is necessary to find out watermark insertion location in blind watermark. We use horizontal and vertical difference of LL components to select watermark insertion location, because increment or decrement of successive components is rarely changed in LL band. A pseudo-random sequence is used as a watermark. Experimental results show that the proposed method is robust to various kinds of attacks such as JPEG lossy compression, averaging, median filtering, resizing, histogram equalization, and additive Gaussian noise.

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SOME STABILITY RESULTS FOR SEMILINEAR STOCHASTIC HEAT EQUATION DRIVEN BY A FRACTIONAL NOISE

  • El Barrimi, Oussama;Ouknine, Youssef
    • 대한수학회보
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    • 제56권3호
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    • pp.631-648
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    • 2019
  • In this paper, we consider a semilinear stochastic heat equation driven by an additive fractional white noise. Under the pathwise uniqueness property, we establish various strong stability results. As a consequence, we give an application to the convergence of the Picard successive approximation.

RCS 계산을 위한 효율적인 IPO 계산 방법 (Efficient Iterative Physical Optics(IPO) Algorithms for Calculation of RCS)

  • 이현수;정기환;채대영;고일석
    • 한국전자파학회논문지
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    • 제25권5호
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    • pp.601-606
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    • 2014
  • IPO(Iterative Physical Optics) 방법은 대규모 물체의 산란파를 효과적으로 계산하는 고주파 근사 방법 중 하나인 PO(Physical Optics) 방법을 반복적으로 적용하는 계산방법이다. IPO 방법은 일차(first-order) PO 방법에서는 고려하지 못하는 다중 반사를 고려할 수 있어, 산란체 표면에 여기되는 전류의 정확도를 높일 수 있다. 그러므로 산란체의 RCS(Radar Cross Section)를 보다 정확하게 예측할 수 있다. 그러나 IPO 방법은 필요한 적분방정식을 정확하게 풀지 않아 수렴성에 문제가 생긴다. 그러므로 본 논문에서는 IPO 방법의 수렴성을 조절하기 위해, 행렬연산에 사용하는 Jacobi, Gauss-Seidel, SOR(Successive Over Relaxation) 그리고 Richardson 방법을 IPO 방법에 적용하였다. 그러므로 대규모 물체의 RCS 계산을 제안된 IPO 방법을 사용하여 효율적으로 계산할 수 있다. 또, 이들의 정확도를 시뮬레이션을 통해 검증하였다.