• Journal of applied mathematics & informatics
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• 제22권1_2호
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• pp.223-235
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• 2006

By applying the Landau-type transformation, we transform a Stefan problem with nonlinear free boundary condition into a system consisting of a parabolic equation and the ordinary differential equations. Fully discrete finite element method is developed to approximate the solution of a system of a parabolic equation and the ordinary differential equations. We derive optimal orders of convergence of fully discrete approximations in $L_2,\;H^1$ and $H^2$ normed spaces.

• Journal of applied mathematics & informatics
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• 제16권1_2호
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• pp.165-181
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• 2004

Based on Landau-type transformation, a Stefan problem with non-linear free boundary condition is transformed into a system consisting of parabolic equation and the ordinary differential equations. Semidiscrete approximations are constructed. Optimal orders of convergence of semidiscrete approximation in $L_2$, $H^1$ and $H^2$ normed spaces are derived.

• 한국측량학회지
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• 제31권6_2호
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• pp.577-583
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• 2013

Recently, massive archives of ground information imagery from new sensors have become available. To establish a functional relationship between the image and the ground space, sensor models are required. The rational functional model (RFM), which is used as an alternative to the rigorous sensor model, is an attractive option owing to its generality and simplicity. To determine the rational polynomial coefficients (RPC) in RFM, however, we encounter the problem of obtaining a stable solution. The design matrix for solutions is usually ill-conditioned in the experiments. To solve this unstable solution problem, regularization techniques are generally used. In this paper, we describe the effective determination of the optimal regularization parameter in the regularization technique during RPC derivation. A brief mathematical background of RFM is presented, followed by numerical approaches for effective determination of the optimal regularization parameter using the Euler Method. Experiments are performed assuming that a tilted aerial image is taken with a known rigorous sensor. To show the effectiveness, calculation time and RMSE between L-curve method and proposed method is compared.

• Journal of applied mathematics & informatics
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• 제7권1호
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• pp.61-82
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• 2000

In this paper two so-called regularized Green's functions are introduced to derive the optimal maximum norm error estimates for the unknown function and the adjoint vector-valued function for mixed finite element methods of Laplacian operator. One contribution of the paper is a demonstration of how the boundedness of $L^1$-norm estimate for the second Green's function ${\lambda}_2$ and the optimal maximum norm error estimate for the adjoint vector-valued function are proved. These results are seemed to be to be new in the literature of the mixed finite element methods.

• East Asian mathematical journal
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• 제31권5호
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• pp.685-693
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• 2015

In this paper, we introduce fully discrete mixed discontinuous Galerkin approximations for parabolic problems. And we analyze the error estimates in $l^{\infty}(L^2)$ norm for the primary variable and the error estimates in the energy norm for the primary variable and the flux variable.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제18권4호
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• pp.337-350
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• 2014

In this paper, we consider discontinuous Galerkin finite element methods with interior penalty term to approximate the solution of nonlinear parabolic problems with mixed boundary conditions. We construct the finite element spaces of the piecewise polynomials on which we define fully discrete discontinuous Galerkin approximations using the Crank-Nicolson method. To analyze the error estimates, we construct an appropriate projection which allows us to obtain the optimal order of a priori ${\ell}^{\infty}(L^2)$ error estimates of discontinuous Galerkin approximations in both spatial and temporal directions.

• 한국재난정보학회 논문집
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• 제19권4호
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• pp.924-935
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• 2023

Purpose: The central aim of this study is to leverage machine learning techniques for the classification of Intrusion Detection System (IDS) data, with a specific focus on identifying the variables responsible for enhancing overall performance. Method: First, we classified 'R2L(Remote to Local)' and 'U2R (User to Root)' attacks in the NSL-KDD dataset, which are difficult to detect due to class imbalance, using seven machine learning models, including Logistic Regression (LR) and K-Nearest Neighbor (KNN). Next, we use the SHapley Additive exPlanation (SHAP) for two classification models that showed high performance, Random Forest (RF) and Light Gradient-Boosting Machine (LGBM), to check the importance of variables that affect classification for each model. Result: In the case of RF, the 'service' variable and in the case of LGBM, the 'dst_host_srv_count' variable were confirmed to be the most important variables. These pivotal variables serve as key factors capable of enhancing performance in the context of classification for each respective model. Conclusion: In conclusion, this paper successfully identifies the optimal models, RF and LGBM, for classifying 'R2L' and 'U2R' attacks, while elucidating the crucial variables associated with each selected model.

• 한국식품위생안전성학회지
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• 제35권6호
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• pp.618-629
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• 2020

본 연구에서는 유산균에 의한 검은콩의 최적 발효조건을 확립하고 발효된 검은콩의 품질특성을 평가하였다. 가정에서 제조된 배추김치로부터 분리한 Lactobacillus plantarum SU22는 병원성 세균에 대해 강한 항균 활성을 보였고 생체 아민과 발암성 효소인 β-glucuronidase를 생성하지 않았기 때문에 검은콩 발효의 스타터로 선정되었다. 검은콩은 5 kgf/cm2, 150℃로 조절된 팽화기에서 10분 동안 팽화 처리한 것과 처리하지 않은 것으로 각각 10-30% 혼합액을 만들고 L. plantarum SU22를 1%(v/v) 접종하여 37℃로 48시간 동안 진탕 배양하면서 유산균의 생육특성을 비교하였다. 유산균의 생균수는 L. plantarum SU22로 발효된 팽화 검은콩(20%) 배양액에서 9 Log CFU/mL 이상이었다. 20% 팽화 검은콩 배양액을 alcalase로 가수분해한 후 L. plantarum SU22로 발효하는 것이 최적 조건인 것으로 밝혀졌으며 유산균의 생균수가 10.30 Log CFU/mL까지 증가하였다. 최적 조건에서 총 폴리페놀 함량(94.02 mg GAE/g)과 DPPH 라디칼 소거능(92.50%)이 비 발효 대조군(87.74 mg GAE/g, 83.14%)에 비해 현저하게 증가하였다(P<0.05). 결론적으로 검은콩을 팽화한 후 alcalase 처리와 L. plantarum SU22를 병행하여 발효할 때 바이오제닉 아민이 없는 검은콩 발효액을 효과적으로 제조할 수 있으며, 총 폴리페놀과 DPPH 라디칼 소거능을 유의적으로 증가시킬 수 있다는 것을 알 수 있었다.

• 한국산업융합학회 논문집
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• 제9권2호
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• pp.111-116
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• 2006

This study provides the optimal conditions treating with the coagulation process and the other chemical treatment processes for dyeing wastewater, especially various dyeing complex wastewater. The results are shown as follows: 1. Optimum reaction condition of pH for ferrous sulfate was the range of 9 to 12. And when 3,000ppm(mg/l) of ferrous sulfate was dosed, the maximum $COD_{Mn}$ removal rate was approximately 40%. 2. In case of ferrous chloride and Bittern as coagulants, optimum pH range was 10 to 11. And maximum $COD_{Mn}$ removal rate was approximately 46% to 50% for dose of 2,000ppm(mg/l) to 6,000 ppm. 3. It is confirmed that the activated sludge process following coagulation precipitation method provides better treatment efficiency than the coagulation precipitation method following the activated sludge process. 4. The purpose of this study was to produce CGF (Cyanoguanidineformaldehyde resin) by organic compounds. 5. The complex coagulation agent by this study is the most economical coagulant with Alum(aluminum sulfate) and the removal efficiency is approximately 54% with 1,000ppm(mg/l) of pH range 6 to 7.

• 청정기술
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• 제28권4호
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• pp.309-315
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• 2022

폐수 중 질소를 제거하기 위한 전기화학적 방법 중 전극의 소모를 최소화하기 위하여 비용해성 전극인 DSA 전극을 anode(산화전극)로 사용하면서, 최적 cathode(환원전극) 도출 및 운전조건 최적화를 위한 연구를 수행하였다. 다양한 전극을 cathode(환원전극)로 사용하여 실험한 결과, 용액 중 Cl 존재시 질산성 질소(NO₃-N)의 제거율이 가장 높으면서 부산물인 암모니아성 질소(NH₃-N) 농도가 가장 낮게 나타난 Brass(황동)가 최적 전극으로 선정되었다. 전류밀도에 따른 영향을 조사하였을 때, 초기 질산성 질소의 농도가 50 mg L^-1의 조건에서, 최적 전류밀도는 15 mA cm^-2이었고, 그 이상의 전류밀도는 제거율에 큰 영향을 주지 못하였다. 전해물질(Na₂SO₄와 NaCl) 및 반응시간에 따른 질산성 질소(NO₃-N) 제거 및 암모니아성 질소(NH₃-N) 잔류량을 조사하였을 때, 질산성 질소(NO₃-N)의 초기 농도 50 mg L^-1, 전류밀도 15 mA cm^-2의 조건에서 90분 반응 시 Na₂SO₄과 NaCl을 각각 1.0 g L^-1, 0.5 g L^-1 혼합하였을 때, 질산성 질소의 제거율은 약 48%였고 암모니아성 질소는 잔류하지 않았다. 전해물질로 NaCl만 1.5 g L^-1를 사용하였을 때, 질산성 질소(NO₃-N)의 제거율은 약 55%로 가장 높았고, 암모니아 질소도 잔류하지 않았다.