• Title/Summary/Keyword: $L_1$-approximation

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A Wong-Zakai Type Approximation for the Multiple Ito-Wiener Integral

  • Lee, Kyu-Seok;Kim, Yoon-Tae;Jeon, Jong-Woo
    • Proceedings of the Korean Statistical Society Conference
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    • 2002.05a
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    • pp.55-60
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    • 2002
  • We present an extension of the Wong-Zakai type approximation theorem for a multiple stochastic integral. Using a piecewise linear approximation $W^{(n)}$ of a Wiener process W, we prove that the multiple integral processes {${\int}_{0}^{t}{\cdots}{\int}_{0}^{t}f(t_{1},{\cdots},t_{m})W^{(n)}(t_{1}){\cdots}W^{(n)}(t_{m}),t{\in}[0,T]$} where f is a given symmetric function in the space $C([0,T]^{m})$, converge to the multiple Stratonovich integral of f in the uniform $L^{2}$-sense.

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Lp error estimates and superconvergence for finite element approximations for nonlinear parabolic problems

  • LI, QIAN;DU, HONGWEI
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.4 no.1
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    • pp.67-77
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    • 2000
  • In this paper we consider finite element mathods for nonlinear parabolic problems defined in ${\Omega}{\subset}R^d$ ($d{\leq}4$). A new initial approximation is taken. Optimal order error estimates in $L_p$ for $2{\leq}p{\leq}{\infty}$ are established for arbitrary order finite element. One order superconvergence in $W^{1,p}$ for $2{\leq}q{\leq}{\infty}$ are demonstrated as well.

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The study on the electron transport coefficients in Neon gas by 2-tenn approximation of the Boltzmann Equation (2항근사 볼츠만 방정식을 이용한 Ne의 전자수송재수 연구)

  • Jeon, Byoung-Hoon;Ha, Sung-Chul;Song, Byoung-Doo
    • Proceedings of the KIEE Conference
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    • 2003.10a
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    • pp.236-238
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    • 2003
  • The electron transport coefficients, the electron drift velocity W, the longitudinal diffusion coefficient $ND_L$ and $D_L/\mu$, in pure Ne were calculated over the wide E/N range from 0.01 to 800 Td at 1 Torr by two-term approximation of the Boltzmann equation for determination of electron collision cross sections set and for quantitative characteristic analysis of Ne molecular gas.

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Approximation of Pulse Transfer Function of Impulse Response Data (임펄스응답 데이타의 펄스전달함수의 근사)

  • Lee, Dong-Cheol;Bae, Jong-Il;Chung, Hyeng-Hwan
    • Proceedings of the KIEE Conference
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    • 1999.07b
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    • pp.683-685
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    • 1999
  • As a method of obtaining pulse transfer function. transfer function of discrete-time from input-output data, there are method of obtaining unknown parameter of pulse transfer function from estimated impulse response before(1-3). There is no need to approximate to several meanings because of not being established algebraical relations between impulse response for estimation error and parameter of transfer function exactly. In this paper, I inquire the method[4] of obtaining the optimal pulse transfer function as a meaning of Hankel norm approximation from impulse response data and examine estimated property as computer simulation from this method.

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An Experimental Dosimetry of Irregularly Shaped Fields Using Therapeutic Planning Computer (치료계획용 컴퓨터를 이용한 부정형조사면의 선량분포에 관한 실험)

  • Kwon Hyoung Cheol;Oh Yoon Kyeong;Yoon Sei Chul;Bahk Young Whee
    • Radiation Oncology Journal
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    • v.2 no.2
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    • pp.281-285
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    • 1984
  • The authors have intended to measure intrinsic dose distribution by Farmer dosimeter in irregularly shaped fields such as L.M and T shape models in order to determine dose inhomogeneity in those models. We made 2 off·axis points in each model and measured the depth dose at 1.5, 5 and 9cm below surface. The results showed $l\~3\%$ dose discrepancy between 2 points. We also measured the depth dose by geometric approximation and computer calculation in those models, and came to the conclusion that computer calculation using Clarkson's principle is simpler and the measurements are closer to the ideal data obtained by the experiment in three models of irregularly shaped fields than those of geometric approximation method.

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A Design of 10-bit 100Ks/S Successive Approximation A/D Converter for Biomedical Applications (의료 기기용 10bit, 100Ks/S Successive Approximation A/D Converter 설계)

  • Kim, Jae-Woon;Burm, Jin-Wook;Lim, Shin-Il
    • Proceedings of the KIEE Conference
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    • 2007.10a
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    • pp.481-482
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    • 2007
  • This paper describes the design of a l0-bit 100 KSample/S CMOS A/D Converter for biomedical applications such as pulse oximetry, body weight scale, ECG etc. We adopted an asynchronous architecture in the 10-b DAC design and hence reduces the number of switches by 11 and resistors by 64 compared with the conventional l0-b DAC. We also reduced the power consumption compare with the conventional architecture by 0.4mW. Output offset cancellation technique is applied to the design of comparator. The total power consumption of designed circuit is 190uW at the supply voltage of 1.8V with the 0.18um general CMOS technology.

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The study of electron transport coefficients in pure $CF_4$ by 2-term approximation of the Boltzmann equation (2항근사 볼츠만 방정식을 이용한 $CF_4$분자가스의 전자수송계수의 해석)

  • Jeon, Byung-Hoon;Ha, Sung-Chul
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2001.05c
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    • pp.29-32
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    • 2001
  • We measured the electron transport coefficients(the electron drift velocity, W, and the longitudinal diffusion coefficient, $D_L$) in pure $CF_4$ over the E/N range from 0.04 Td to 250 Td by the double shutter drift tube. And these electron transport coefficients in pure $CF_4$ were calculated over the E/N range from 0.01 to 250 Td at 1 Torr by using the two-term approximation of the Boltzmann equation.

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Knot Removal of B-spline Curves using Hausdorff Distance (하우스도르프 거리를 이용한 B-spline 곡선의 낫제거)

  • Oh, Jong-Seok;Yoon, Seung-Hyun
    • Journal of the Korea Computer Graphics Society
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    • v.17 no.3
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    • pp.33-42
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    • 2011
  • We present a new technique for removing interior knots of parametric B-spline curves. An initial curve is constructed by continuous $L_{\infty}$ approximation proposed by Eck and Hadenfeld. We employ Hausdorff distance to measure the shape difference between the original curve and the initial one. The final curve is obtained by minimizing their Hausdorff distance. We demonstrate the effectiveness of our technique with experimental results on various types of planar and spatial curves.

ERROR ESTIMATES FOR A SINGLE PHASE QUASILINEAR STEFAN PROBLEM WITH A FORCING TERM

  • Ohm, Mi-Ray;Shin, Jun-Yong;Lee, Hyun-Young
    • Journal of applied mathematics & informatics
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    • v.11 no.1_2
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    • pp.185-199
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    • 2003
  • In this paper, we apply finite element Galerkin method to a single-phase quasi-linear Stefan problem with a forcing term. We consider the existence and uniqueness of a semidiscrete approximation and optimal error estimates in $L_2$, $L_{\infty}$, $H_1$ and $H_2$ norms for semidiscrete Galerkin approximations we derived.

A study of room temperature PR(photoreflectance) charicteristics for AlGaAs/GaAs multiple-quantum well (AlGaAs/GaAs multiple-quantum well에 대한 상온에서의 photoreflectance 특성연구)

  • 김동렬;최현태;배인호;김말문;한병국;우덕하;김선호;최상삼
    • Journal of the Korean Vacuum Society
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    • v.6 no.2
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    • pp.109-113
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    • 1997
  • PR spectra of MBE grown AlGaAs/GaAs MQW have been measured at room temperature using the He-Ne laser and the Ar laser as the pump source. We have observed various subband transition peaks and PR spectra were fitted to standard analytic line shape. Above that results, obtained us transition energy from n=1 conduction band to heavy hole(C1-H1) and to light hole(C1-L1) subband. Photoluminescence(PL) at room temperature showed main peak with a shoulder. Good agreement between PL and PR measured n=1 intersubband transition energies was confirmed that PL main peak with a shoulder is associated with the C1-H1, C1-L1 transition. Additionally, we have calculated the C1-H1 and C1-L1 intersubband energy within envelope function approximation(EFA).

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