• 호남수학학술지
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• 제38권1호
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• pp.47-57
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• 2016

In the discrete formulation of the bubble stabilized Legendre Galerkin methods, the system of equations includes the artificial viscosity term as the parameter. We investigate the estimation of this parameter to get the least-squares solution which minimizes the sum of the squares of errors at each node points. Some numerical results are reported.

• 한국전기전자재료학회:학술대회논문집
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• 한국전기전자재료학회 1999년도 춘계학술대회 논문집
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• pp.399-402
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• 1999

In this paper, a new method for calculating capacitance in arbitrarily shape structure is Presented. This new approach based on divergence theorem of Gauss\`s law is acheive by Surface-Contacted Element(SCE) for Gaussian surface. To evaluate accurate capacitance value in nonuniform electric field. in two dimensional analysis the interpolation using the elements which contact one nod (PE: Point-Element) or two nod (FE: Face-Element) is employed. Because the elements contacted with surface are very small compared with total elements in analytic model, SCE method has shorter computing time to calculate capacitance. This proposed method is verified by comparing the simulated results with value obtained by analytic method.

• 대한수학회논문집
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• 제16권1호
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• pp.153-161
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• 2001

In the course of working on the preconditioning $C^1$ polynomial spline collocation method, one has to deal with the exponential decay of $C^1$ Lagrange polynomial splines. In this paper we show the exponential decay of $C^1$ Lagrange polynomial splines using the Chebyshev-Gauss points as the local data points.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제30권4호
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• pp.347-355
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• 2023

For numerical evaluation of Cauchy principal value integrals, we present a simple rational function with a parameter satisfying some reasonable conditions. The proposed rational function is employed in coordinate transformation for accelerating the accuracy of the Gauss quadrature rule. The efficiency of the proposed rational transformation method is demonstrated by the numerical result of a selected test example.

• 방송공학회논문지
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• 제27권2호
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• pp.244-247
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• 2022

본 논문에서는 고속 이동환경에서 강건성을 향상시킬 수 있는 OTFS(orthogonal time frequency space) 시스템에서 주파수 및 시간영역에서의 선형 MMSE(minimum mean squared error) 필터를 이용한 디코딩 알고리즘과 강화된 Gauss-Seidel 알고리즘을 이용한 디코딩 알고리즘의 성능을 비교한다. 강화된 Gauss-Seidel 알고리즘은 잡음 증폭을 억제함으로써 비트 오류율 성능을 개선할 수 있다. 전산 실험 결과를 통해 주파수 영역에서 MMSE 필터를 이용한 디코딩 알고리즘은 수신기의 이동 속도가 높아짐에 따라 성능 열화가 발생하는 것을 확인할 수 있고, 강화된 Gauss-Seidel 알고리즘을 이용한 디코딩 방법은 120km/h 속도와 500km/h 속도를 가지는 채널 환경에 대해 주파수 영역 및 시간 영역에서의 MMSE 필터 디코딩 알고리즘에 비해 우수한 성능을 나타내는 것을 확인할 수 있다.

• 대한수학회지
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• 제50권1호
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• pp.81-93
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• 2013

We consider a distributed optimal flux control problem: finding the potential of which gradient approximates the target vector field under an elliptic constraint. Introducing the Lagrange multiplier and a change of variables the Euler-Lagrange equation turns into a coupled equation of an elliptic equation and a reaction diffusion equation. The change of variables reduces iteration steps dramatically when the Gauss-Seidel iteration is considered as a solution method. For the elliptic equation solver we consider the Cell Boundary Element (CBE) method, which is the finite element type flux preserving methods.

• 제어로봇시스템학회논문지
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• 제12권10호
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• pp.962-967
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• 2006

Indoor positioning is highlighted recently, and various kinds of indoor positioning systems are under developments. Since positioning systems have their own characteristics, proper positioning scheme should be chosen according to the required specifications. Positioning methods are classified into time-based and angle-based one. This paper presents the error analysis of time-based and angle-based location methods. Because measurements of these methods are nonlinear, linearizations are needed in both cases to estimate the user position. In the linearization, Gauss-Newton method is used in both cases. To analyze the position error, we investigate the error ellipse parameters that include eccentricity, rotation angle, and the size of ellipse. Simulation results show that the major axes of TOA and AOA method lie in different quadrants at most region of workspace, especially where the geometry is poor. When the TOA/AOA hybrid is employed, it is found that the error ellipse is reduced to the intersection of ellipses of TOA and AOA.

• 한국항해항만학회:학술대회논문집
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• 한국항해항만학회 2006년도 International Symposium on GPS/GNSS Vol.1
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• pp.485-489
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• 2006

In last decades, several linearization methods for the AOA measurements have been proposed, for example, Gauss-Newton method and closed-form solution. Gauss-Newton method can achieve high accuracy, but the convergence of the iterative process is not always ensured if the initial guess is not accurate enough. Closed-form solution provides a non-iterative solution and it is less computational. It does not suffer from convergence problem, but estimation error is somewhat larger. This paper proposes a self-tuning weighted least square AOA algorithm that is a modified version of the conventional closed-form solution. In order to estimate the error covariance matrix as a weight, two-step estimation technique is used. Simulation results show that the proposed method has smaller positioning error compared to the existing methods.

• 한국농업기계학회:학술대회논문집
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• 한국농업기계학회 1993년도 Proceedings of International Conference for Agricultural Machinery and Process Engineering
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• pp.1117-1126
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• 1993

Physical parameters in the forward direction of the tractor , which mainly affects the vibration characteristics of the tractor dynamic model, were able to be identified in a short time by using the Gauss-Newton method with extremum searching based on the data obtained from a forced vibration experiment. It was clarified that a period for the updating of the parameter estimates method has effects on the convergence accuracy of identification for the spring constant in the forward direction of the tractor.

• Journal of Astronomy and Space Sciences
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• 제5권1호
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• pp.45-51
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• 1988

지주주위를 선회하는 안공위성의 예"1궤도를 결정하는 대부분의 모든 땅뱀을을 채조사하였다. 조사판 앙법들을 이용하켜 기상위성 NOAA-10호의 예비궤도릎 결청하였고 그 결과들을 NASA에서 계산된 NOAA-10호 위성의 평균궤도요소와 비교하였다. 이 비교를 통하여 Ga-uss형 방법들에 의하여 결정된 예비궤도요소들이 Laplace형 방법들에 의한결과보다NASA의 평균궤도요소에 더 가깝게 계산되었다. 우리의 결과는 Gauss방법에 대한 Taff(l984) 의 비판이 재고되어야 함을 보여 주며 따라서 Marsden ( 1985 )의 견해를 뒷받침한다.