• 제목/요약/키워드: Differential diffusion

검색결과 285건 처리시간 0.029초

두 가지 유형의 보험청구가 있는 확산과정 리스크 모형의 파산확률 (Ruin probabilities in a risk process perturbed by diffusion with two types of claims)

  • 원호정;최승경;이의용
    • Journal of the Korean Data and Information Science Society
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    • 제24권1호
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    • pp.1-12
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    • 2013
  • 본 논문에서는 잉여금이 양의 추세모수를 갖는 확산과정을 따라 움직이고, 두 가지 유형의 보험청구가 있는 리스크 모형을 소개한다. 두 유형의 보험청구 금액은 서로 독립이고, 각각 지수분포를 따른다고 가정한다. 유형 I의 보험청구는 잦은 빈도로 발생하지만 청구 금액은 적고, 유형 II의 보험청구는 상대적으로 드물게 발생하지만 청구 금액이 많다고 가정한다. 적미분 방정식을 세워 잉여금이 없어지는 파산확률을 구하고, 각 유형에 의한 파산확률과 확산과정에 의해 자연적으로 파산이 이루어지는 확률을 함께 구한다. 또한 예제를 통해 두 유형의 보험청구와 확산과정이 전체 파산확률에 미치는 영향을 수치적으로 비교 분석한다.

교량 바닥판 콘크리트의 부등건조수축 균열특성에 관한 연구 (Cracking Behavior of Concrete Bridge Deck Due to Differential Drying Shrinkage)

  • 양주경;이윤;양은익;박해균
    • 대한토목학회논문집
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    • 제29권4A호
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    • pp.329-335
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    • 2009
  • 이 연구의 목적은 교량바닥판 콘크리트에 발생하는 부등건조수축에 의한 균열특성을 파악하고, 그 제어방법을 제시하는데 있다. 건조수축균열은 콘크리트 내부의 수분확산계수의 영향을 크게 받으며, 수분확산계수는 콘크리트 내부에서의 수분이동 속도를 결정하는 주요인자이다. 수분확산계수와 더불어 콘크리트 표면의 표면계수와 외부의 상대습도는 콘크리트 내부에서 외부로의 수분이동에 영향을 미친다. 따라서 이 연구에서는 교량 바닥판의 부등건조수축에 의한 균열특성을 파악하기 위하여 세 가지 주요영향인자를 고려한 수치해석을 수행하였다. 수치해석 결과, 수분확산계수와 표면계수가 증가할수록 교량바닥판에서의 부등건조수축에 의한 균열발생시점이 빨라지며, 세 가지 요인 중에 바닥판 콘크리트의 부등건조수축에 의한 균열발생 특성에 가장 큰 영향을 미치는 것은 외기습도인 것으로 나타났다. 이 연구결과를 분석한 결과, 교량바닥판 콘크리트의 시공시에 콘크리트 타설 후 표면보습이나 살수양생과 같이 외기습도를 증가시키는 것이 부등건조수축에 의한 균열제어에 가장 효과적인 것으로 판단되며, 콘크리트 재료적 측면의 균열저감방법으로 수분확산계수와 표면계수를 결정하는 콘크리트의 배합이나 재료특성을 적절히 선정함으로써 균열의 진전속도나 발생시점을 제어할 수 있을 것으로 판단된다.

XTEA와 TEA의 축소된 라운드에 대한 불능 차분 공격 (Impossible Differential Cryptanalysis of Reduced Round XTEA and TEA)

  • 문덕재;황경덕;이원일;이상진;임종인
    • 정보보호학회논문지
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    • 제12권4호
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    • pp.77-85
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    • 2002
  • 본 논문에서는 TEA[7]와 TEA[6]의 축소된 라운드에 대한 불능 차분 공격 (Impossible Differential Cryptanalysis)에 관하여 알아본다. 이 두 블록 암호의 주요 설계원리는 단순성과 효율성의 추구이다. 그러나 단순성 추구가 큰 확산 (diffusion) 효과를 주지 못하여, XTEA와 TEA의 축소된 라운드에 대한 불능 차분 공격을 가능하게 한다. 구체적으로 말하면 12라운드 불능 차분 특성을 이용하여 14라운드 XTEA에 대하여 $2^{62.5}$개의 선택평문들과 $2^{85}$번의 암호화 과정을 통하여 128비트 마스터키를 찾아낼 수 있다. 또한, TEA의 경우 10라운드 불능 차분 특성을 이용하여 11라운드 마스터키를 $2^{52.5}$개의 선택평문들과 약 $2^{84}$번의 암호화 과정을 통하여 찾아낸다.

Improving the Diffusion of the Stream Cipher Salsa20 by Employing a Chaotic Logistic Map

  • Almazrooie, Mishal;Samsudin, Azman;Singh, Manmeet Mahinderjit
    • Journal of Information Processing Systems
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    • 제11권2호
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    • pp.310-324
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    • 2015
  • The stream cipher Salsa20 and its reduced versions are among the fastest stream ciphers available today. However, Salsa20/7 is broken and Salsa20/12 is not as safe as before. Therefore, Salsa20 must completely perform all of the four rounds of encryption to achieve a good diffusion in order to resist the known attacks. In this paper, a new variant of Salsa20 that uses the chaos theory and that can achieve diffusion faster than the original Salsa20 is presented. The method has been tested and benchmarked with the original Salsa20 with a series of tests. Most of the tests show that the proposed chaotic Salsa of two rounds is faster than the original four rounds of Salsa20/4, but it offers the same diffusion level.

의사스펙트로법에 의한 대기확산형상의 수치모델(1) - 대기확산방정식과 스펙트로모델 - (Numerical Models for Atmospheric Diffusion Problems by Pseudospectral Method (1) - Atmospheric Diffusion Equations and Spectral Model -)

  • 김선태;장영기
    • 한국대기환경학회지
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    • 제7권3호
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    • pp.189-196
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    • 1991
  • In recent years spectral methods have been found to be a powerful tool for the numerical solution of hynamic differential equations. The main attraction of spectral method is accuracy even though it is generally difficult to implement and solve the complex problems using spectral method. We introduced diffusion equations describing the state of air pollution and solved by pseutospectral method in dimensionless form. The results were compared with both those of other numerical methods and analytical solutions. Comparing with finite difference method and finite element method, spectral method shows the highest accuracy for one dimension problem in this study. Also, the results of two dimensional diffusion problems show good agreement with analytical solutions.

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Migration of calcium hydroxide compounds in construction waste soil

  • Shin, Eunchul;Kang, Jeongku
    • Advances in environmental research
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    • 제4권3호
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    • pp.183-196
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    • 2015
  • Migration of leachate generated through embankment of construction waste soil (CWS) in low-lying areas was studied through physical and chemical analysis. A leachate solution containing soluble cations from CWS was found to have a pH above 9.0. To determine the distribution coefficients in the alkali solution, column and migration tests were conducted in the laboratory. The physical and chemical properties of CWS satisfied environmental soil criteria; however, the pH was high. The effective diffusion coefficients for CWS ions fell within the range of $0.725-3.3{\times}10^{-6}cm^2/s$. Properties of pore water and the amount of undissolved gas in pore water influenced advection-diffusion behavior. Contaminants migrating from CWS exhibited time-dependent concentration profiles and an advective component of transport. Thus, the transport equations for CWS contaminant concentrations satisfied the differential equations in accordance with Fick's 2nd law. Therefore, the migration of the contaminant plume when the landfilling CWS reaches water table can be predicted based on pH using the effective diffusion coefficient determined in a laboratory test.

Analytical Solutions of Unsteady Reaction-Diffusion Equation with Time-Dependent Boundary Conditions for Porous Particles

  • Cho, Young-Sang
    • Korean Chemical Engineering Research
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    • 제57권5호
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    • pp.652-665
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    • 2019
  • Analytical solutions of the reactant concentration inside porous spherical catalytic particles were obtained from unsteady reaction-diffusion equation by applying eigenfunction expansion method. Various surface concentrations as exponentially decaying or oscillating function were considered as boundary conditions to solve the unsteady partial differential equation as a function of radial distance and time. Dirac delta function was also used for the instantaneous injection of the reactant as the surface boundary condition to calculate average reactant concentration inside the particles as a function of time by Laplace transform. Besides spherical morphology, other geometries of particles, such as cylinder or slab, were considered to obtain the solution of the reaction-diffusion equation, and the results were compared with the solution in spherical coordinate. The concentration inside the particles based on calculation was compared with the bulk concentration of the reactant molecules measured by photocatalytic decomposition as a function of time.

IMPLICIT DIFFERENCE APPROXIMATION FOR THE TWO-DIMENSIONAL SPACE-TIME FRACTIONAL DIFFUSION EQUATION

  • Zhuang, Pinghui;Liu, Fawang
    • Journal of applied mathematics & informatics
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    • 제25권1_2호
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    • pp.269-282
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    • 2007
  • In this paper, we consider a two-dimensional fractional space-time diffusion equation (2DFSTDE) on a finite domain. We examine an implicit difference approximation to solve the 2DFSTDE. Stability and convergence of the method are discussed. Some numerical examples are presented to show the application of the present technique.

콘크리트의 부등건조수축으로 인한 응력의 해석 (Stress Analysis for Differential Drying Shrinkage of Concrete)

  • 김진근;김효범
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1994년도 봄 학술발표회 논문집
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    • pp.155-162
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    • 1994
  • The drying shrinkage of concrete has a close relation to the water movement, Since the diffusion process of water in concrete is strongly dependent on the temperature and pore humidity, the process is highly nonlinear phenomena. It is shown that the analytical results of this study are in good agreement with experimental data in the literatures, and results calculated by BP-KX model. The internal stress caused by moisture distribution which was resulted from the diffusion process, was calculated quantitatively. The tensile stress which occurred in the drying outer zone mostly exceeded the tensile strength of concrete, and necessarily would result in crack formation.

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