• Title/Summary/Keyword: Successive Approximation

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

  • Dhage, Bapurao Chandrabhan
    • Kyungpook Mathematical Journal
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    • v.56 no.1
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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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    • v.2 no.2
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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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    • v.1 no.2
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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.

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

  • 박현우;정혜순;유선희
    • Proceedings of the Korea Technology Innovation Society Conference
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    • 2001.11a
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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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Approximation of the functional by neural network and its application to dynamic systems (신경회로망을 이용한 함수의 근사와 동적 시스템에의 응용)

  • 엄태덕;홍선기;김성우;이주장
    • 제어로봇시스템학회:학술대회논문집
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    • 1994.10a
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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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A Blind Watermarking Technique Using Difference of Approximation Coefficients in Wavelet Domain (웨이블릿 영역에서 근사 계수의 증감 정보를 이용한 블라인드 워터마크)

  • 윤혜진;성영경;최태선
    • Proceedings of the IEEK Conference
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    • 2002.06d
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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
    • Bulletin of the Korean Mathematical Society
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    • v.56 no.3
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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.

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

  • Lee, Hyunsoo;Jung, Ki-Hwan;Chae, Dae-Young;Koh, Il-Suek
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.25 no.5
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    • pp.601-606
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    • 2014
  • The IPO(Iterative Physical Optics) method repeatedly applies the well-known PO(Physical Optics) approximation to calculate the scattered field by a large object. Thus, the IPO method can consider the multiple scattering in the object, which is ignored for the PO approximation. This kind of iteration can improve the final accuracy of the induced current on the scatterer, which can result in the enhancement of the accuracy of the RCS(Radar Cross Section) of the scatterer. Since the IPO method can not exactly but approximately solve the required integral equation, however, the convergence of the IPO solution can not be guaranteed. Hence, we apply the famous techniques used in the inversion of a matrix to the IPO method, which include Jacobi, Gauss-Seidel, SOR(Successive Over Relaxation) and Richardson methods. The proposed IPO methods can efficiently calculate the RCS of a large scatterer, and are numerically verified.