• Title/Summary/Keyword: Standard solution

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COMPUTATIONAL METHOD FOR SINGULARLY PERTURBED PARABOLIC REACTION-DIFFUSION EQUATIONS WITH ROBIN BOUNDARY CONDITIONS

  • GELU, FASIKA WONDIMU;DURESSA, GEMECHIS FILE
    • Journal of applied mathematics & informatics
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    • 제40권1_2호
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    • pp.25-45
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    • 2022
  • In this study, the non-standard finite difference method for the numerical solution of singularly perturbed parabolic reaction-diffusion subject to Robin boundary conditions has presented. To discretize temporal and spatial variables, we use the implicit Euler and non-standard finite difference method on a uniform mesh, respectively. We proved that the proposed scheme shows uniform convergence in time with first-order and in space with second-order irrespective of the perturbation parameter. We compute three numerical examples to confirm the theoretical findings.

계량서지학적 분석을 통한 건설사업관리 표준변수 도출 (Identifying Standard Variables for Construction Management by Bibliometrics Analysis)

  • 김진휘;정영수
    • 한국건축시공학회:학술대회논문집
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    • 한국건축시공학회 2021년도 봄 학술논문 발표대회
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    • pp.283-284
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    • 2021
  • Due to the nature of the construction industry, massive and diverse data is generated and collected from each project. It can be classified into a number of variables that specify the distinct characteristics of construction projects. However, a variable is used in different terms depending on the users. This situation plays as a great barrier to effective construction information management and also has limitations to collective research and practice. As a solution, it is essential for developing common and shared variables. In this context, the aim of this study is to define systematically organized standard variables for globally collaborative construction management. The standard variables are identified by bibliometrics analysis with VOSviewer, and the bibliographic data is collected from the Scopus with 13,533 documents about construction management.

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딜의 수경재배에 적합한 배양액 개발 (Development of Optimum Nutrient Solution for Dill (Anethum graveolens L.) in Hydroponics)

  • 여경환;이용범
    • 생물환경조절학회지
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    • 제6권4호
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    • pp.299-309
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    • 1997
  • 본 실험은 수경재배에서 딜의 양수분 흡수 패턴을 밝히고 생육과 환경특성에 적합한 배양액을 개발하여 실제 재배에 응용하고자 수행하였다. 이를 위해 딜의 양분 홉수율에 의한 배양액을 조성하였으며 그 적합성을 검정하기 위해 기존배양액과 비교실험을 실시하였다. 딜의 NFT재배에 적합한 배양액을 개발하기 위해서 일본야채시험장 표준액을 1/4배액, 1/2배액 및 1배액으로 조성하여 재배한 결과, 1/2배액에서 생육과 수량이 가장 높았으며 근권내 pH와 EC의 변화도 안정되었고, 식물체내 무기이온 합량도 적정치로 나타나 딜의 양분흡수특성에 적합할 것으로 판단되었다. 따라서 일본야채시험장 1/2 배액의 양수분 흡수율(n/w)을 기준으로 새로운 배양액을 조성하였으며, 이온의 조성은 NO$_3$―N 8.85, NH$_4$―N 0.55, P 2.1, K 6.2, Ca 2.8, Mg 1.7 me.L$^{-1}$였다. 딜의 순환식 NFT 재배용으로 개발한 배양액의 적합성 검정실험 결과, 근권내 pH와 EC는 저농도인 SCU 1/2배액을 제외하고는 변화폭이 크게 나타나지 않았다. 본 실험에서 개발된 SCU 1배액은 기존에 허브 배양액으로 사용된 일본 야채 시험장 배양액과 비교할 때 생육과 수량면에서 우수하였으며, 엽내 무기성분 함량도 적정수준을 나타내었다. 따라서, 본 실험에서 개발된 SCU 배양액은 딜의 NFT재배에 적합한 배양액이라 할 수 있다.

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베이즈주의와 헴펠: 베이즈주의자들은 헴펠의 직관을 포착하는가? (Bayesian Confirmation Theory and Hempel's Intuitions)

  • 이일권
    • 논리연구
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    • 제22권3호
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    • pp.351-395
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    • 2019
  • 까마귀 역설의 역설적 결론은 입증에 대해 헴펠이 가지고 있던 직관이다. 베이즈주의자들의 표준적 해결책(SBS)은 이 직관을 포착함으로써, 입증에 대한 헴펠의 직관을 정교화 시켰다는 평가를 받는다. 하지만 헴펠이 제시한 직관은 그것만이 아니었다. 헴펠은 그 역설적 결론과 더불어 또 하나의 직관을 제시했다. SBS는 엄밀한 의미에서 이 두 번째 직관을 포착하지 못한다. 하지만 나는 베이즈주의자들이 그들의 전형적인 전략을 이용하여 이 두 번째 직관을 구제할 것으로 예상한다. 그런 전략이 인정된다면, SBS에 대한 긍정적 평가는 건재하다. 역설에 대한 헴펠의 해명은 이들 두 직관이 제공하는 입증관계를 비교한다. 헴펠이 제시한 두 직관을 받아들이면 그런 비교에 대한 헴펠의 또 다른 직관이 도출된다. 따라서 그 세 번째 직관을 포착하지 못한다면, 헴펠의 직관을 제대로 포착한다고 말할 수 없다. 나는 이 글에서 헴펠의 주요 직관들이 SBS와 양립불가능하다는 것을 보인다. 그리하여 결국 이들이 양립가능하기 위해서는 SBS의 중요한 가정 하나를 거부해야 한다고 주장한다.

THE SINGULARITIES FOR BIHARMONIC PROBLEM WITH CORNER SINGULARITIES

  • Woo, Gyungsoo;Kim, Seokchan
    • East Asian mathematical journal
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    • 제36권5호
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    • pp.583-591
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    • 2020
  • In [8, 9] they introduced a new finite element method for accurate numerical solutions of Poisson equations with corner singularities. They consider the Poisson equations with corner singularities, compute the finite element solutions using standard Finite Element Methods and use the extraction formula to compute the stress intensity factor(s), then they posed new PDE with a regular solution by imposing the nonhomogeneous boundary condition using the computed stress intensity factor(s), which converges with optimal speed. From the solution they could get an accurate solution just by adding the singular part. The error analysis was given in [5]. In their approaches, the singular functions and the extraction formula which give the stress intensity factor are the basic elements. In this paper we consider the biharmonic problems with the cramped and/or simply supported boundary conditions and get the singular functions and its duals and find properties of them, which are the cornerstones of the approaches of [8, 9, 10].

중력 침강에 의한 입자 응집의 해석적 연구 (Analysis of Gravitational Coagulation of Aerosol Particles)

  • 진형아;정창훈;이규원
    • 한국대기환경학회지
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    • 제14권4호
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    • pp.303-312
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    • 1998
  • To obtain the solution to the time-dependent particle size distribution of an aerosol undergoing gravitational coagulation, the moment method was used which converts the non linear integro-differential equation to a set of ordinary differential equations. A semi-numerical solution was obtained using this method. Subsequently, an analytic solution was given by approximating the collision kernel into a form suitable for the analysis. The results show that during gravitational coagulation, the geometric standard deviation increases and the geometric mean radius decreases as time increases.

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효율적인 상세 반응 기구 해석을 위한 민감도 기반의 부분 음해법 (Partial Preconditioning Approach for the Solution of Detailed Kinetics Problems Based on Sensitivity Analysis)

  • 강기하;문성영;노진현;원수희;최정열
    • 한국연소학회지
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    • 제13권1호
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    • pp.17-22
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    • 2008
  • A partly implicit/quasi-explicit method is introduced for the solution of detailed chemical kinetics with stiff source terms based on the standard fourth-order Runge-Kutta scheme. Present method solves implicitly only the stiff reaction rate equations, whereas the others explicitly. The stiff equations are selected based on the survey of the chemical Jaconian matrix and its Eigenvalues. As an application of the present method constant pressure combustion was analyzed by a detailed mechanism of hydrogen-air combustion with NOx chemistry. The sensitivity analysis reveals that only the 4 species in NOx chemistry has strong stiffness and should be solved implicitly among the 13 species. The implicit solution of the 4 species successfully predicts the entire process with same accuracy and efficiency at half the price.

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BOUNDARY POINTWISE ERROR ESTIMATE FOR FINITE ELEMENT METHOD

  • Bae, Hyeong-Ohk;Chu, Jeong-Ho;Choe, Hi-Jun;Kim, Do-Wan
    • 대한수학회지
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    • 제36권6호
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    • pp.1033-1046
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    • 1999
  • This paper is devoted to the point wise error estimate up to boundary for the standard finite element solution of Poisson equation with Dirichlet boundary condition. Our new approach used the discrete maximum principle for the discrete harmonic solution. once the mesh in our domain satisfies the $\beta$-condition defined by us, the discrete harmonic solution with dirichlet boundary condition has the discrete maximum principle and the pointwise error should be bounded by L-errors newly obtained.

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미각의 증년적 변화에 관한 연구 (A Study of Taste Sensation by Aging)

  • 김양희
    • 대한가정학회지
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    • 제17권4호
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    • pp.43-47
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    • 1979
  • In order to get taste sensation 116 male and 82 female subjects were tested by dropping solution on tongue. Table I shows the number of subjects in each selected age group. none of the subjects complained gastrointestinal discomforts and drinking and smoking habits were moderate (Less than 5 cigarettes a day). Taste sensation was elicited by applying standard tap water solutions of sucrose(sweet), , sodium chloride(salty), citric acid (sour) and quinine (bitter) on tongue. The dour concentrations of each solution are given in Table 2. The test were done about 1 hour after meal . A drop of approximately 0.1 ml of the lowest concentration of solution was placed on tongue. The number of subjects who recognized the taste of concentrations were recorded in each age group. The obtained results were as follows ; 1. The sweet taste sensation of each age group was more sensitive in female than in male. 2. Decreased level of sensitivity to sweet. salty, sour and bitter taste was detected in the 40 year age group. 3. Females tent to be more sensitive to taste than males generally.

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