• International Journal of Aeronautical and Space Sciences
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• 제2권1호
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• pp.1-11
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• 2001

The time implicit point SGS scheme is applied to compute hypersonic viscous flows in thermochemical nonequilibrium. The performance of the point SGS scheme is then compared with those of the line SGS and the LU-SGS schemes. Comparison of convergence histories with the effect of multiple forward and backward sweeps are made for the flow over a 2D cylinder experimentally studied by Hornung and the flow over a hemisphere at conditions corresponding to the peak heating condition during the reentry flight of an SSTO vehicle. Results indicate that the point SGS scheme with multiple sweeps is as robust and efficient as the line SGS scheme. For the point SGS and the LU-SGS scheme, the rate of improvement in convergence is largest with two sweep cycles. However, for the line SGS scheme, it is found that more than one sweep cycle deteriorates the convergence rate.

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제15권8호
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• pp.3011-3024
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• 2021

Pose estimation of the sensor is important issue in many applications such as robotics, navigation, tracking, and Augmented Reality. This paper proposes visual-inertial integration system appropriate for dynamically moving condition of the sensor. The orientation estimated from Inertial Measurement Unit (IMU) sensor is used to calculate the essential matrix based on the intrinsic parameters of the camera. Using the epipolar geometry, the outliers of the feature point matching are eliminated in the image sequences. The pose of the sensor can be obtained from the feature point matching. The use of IMU sensor can help initially eliminate erroneous point matches in the image of dynamic scene. After the outliers are removed from the feature points, these selected feature points matching relations are used to calculate the precise fundamental matrix. Finally, with the feature point matching relation, the pose of the sensor is estimated. The proposed procedure was implemented and tested, comparing with the existing methods. Experimental results have shown the effectiveness of the technique proposed in this paper.

• Nuclear Engineering and Technology
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• 제54권2호
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• pp.532-545
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• 2022

In-depth convergence analyses for neutronics/thermal-hydraulics (T/H) coupled calculations are performed to investigate the performance of nonlinear methods based on the Fixed-Point Iteration (FPI). A simplified neutronics-T/H coupled system consisting of a single fuel pin is derived to provide a testbed. The xenon equilibrium model is considered to investigate its impact during the nonlinear iteration. A problem set is organized to have a thousand different fuel temperature coefficients (FTC) and moderator temperature coefficients (MTC). The problem set is solved by the Jacobi and Gauss-Seidel (G-S) type FPI. The relaxation scheme and the Anderson acceleration are applied to improve the convergence rate of FPI. The performances of solution schemes are evaluated by comparing the number of iterations and the error reduction behavior. From those numerical investigations, it is demonstrated that the number of FPIs is increased as the feedback is stronger regardless of its sign. In addition, the Jacobi type FPIs generally shows a slower convergence rate than the G-S type FPI. It also turns out that the xenon equilibrium model can cause numerical instability for certain conditions. Lastly, it is figured out that the Anderson acceleration can effectively improve the convergence behaviors of FPI, compared to the conventional relaxation scheme.

• East Asian mathematical journal
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• 제36권5호
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• pp.571-581
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• 2020

In this paper, an equilibrium problems involving a finite family of maximal monotone operators and inverse-strongly monotone operators are introduced and investigated. A strong convergence theorem of common solutions is obtained in Hilbert spaces.

• 전기전자학회논문지
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• 제17권3호
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• pp.346-351
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• 2013

모바일 시스템에서는 비용 및 전력 효율이 중요하기 때문에 부동소수점 연산기 개발 시 32-비트 데이터 형식대신 24-비트 데이터 형식을 사용하는 것이 좋다. 하지만 24-비트 데이터 형식을 사용할 경우 32-비트 데이터 형식에 비해 연산기의 정확도가 낮아질 수 있다. 3D 그래픽과 같이 연속적인 부동소수점 연산 처리가 많이 요구될 경우 연산기의 정확도에 대한 논의와 검증이 중요하다. 나눗셈은 3D 그래픽에 사용되는 연산 중 OpenGL에서 규정한 정확도를 만족하기 가장 어려운 연산 중 하나이다. 현재까지 OpenGL에서 규정한 정확도를 만족하는 것이 대수적으로 검증된 24-비트 부동소수점 제산기는 알려진 바가 없다. 본 논문에서는 24-비트 부동소수점 제산기를 분석하고, OpenGL ES 3.0에서 규정한 $10^{-5}$의 정확도를 만족함을 대수적으로 검증한다.

• 한국안광학회지
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• 제8권2호
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• pp.47-52
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• 2003

19세에서 26세 사이의 안과 질환이 없는 시력 1.0 이상인 안경광학과 학생 117명을 대상으로 검사한 결과 37명(31.62%)이 내사위로 나타났다. 그 내사위 환자 중 25명(67.57%)이 $3{\Delta}$ 이하였으며, 나머지 12명(32.43%)이 $1{\Delta}$ 이상이었다. 내사위 환자의 평균사위량은 원거리에서 $2.96{\Delta}$, 근거리에서 $1.08{\Delta}$으로 나타났고, 또한 원근거리의 사위량 연화에 있어서, 원거리 때와 근거리 때의 사위량에 변화가 없는 환자는 3명(8.10%), 내사위량이 증가한 환자는 8명(21.62%), 사위량이 줄어들거나 오히려 외사위로 나타난 환자는 26명(70.27%)으로 나타났다. 이처럼 근거리 때 내사위량이 줄어드는 방향으로 결과가 나온 것은, 내사위 환자의 경우 근거리시에 폭주부담이 작기 때문에 그러한 결과가 생기는 것으로 추정된다. 원거리 때 실성상대폭주력에서 기대치를 보인 피검사자는 흐린점 7명(18.92%), 분리점 16명(43.24%), 회복점 12명(32.43%)이였고, 허성상대폭주력에서 기대치를 보인 피검사자는 분리점 7명(18.92%), 회복점 13명(35.14%)이였으며, 또한 근거리 때 실성상대폭주력에서 기대치를 보인 피검사자는 흐린점 8명(21.62%), 분리점 7명(18.92%), 회복점 22명(59.46%)이였고, 허성상대폭주력에서 기대치를 보인 피검사자는 흐린점 2명(5.40%), 분리점 8명 21.62%), 회복점 12명(32.43%)으로 나타났다.

• Journal of applied mathematics & informatics
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• 제26권1_2호
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• pp.325-336
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• 2008

In this paper, we prove the weak and strong convergence of the three-step iterative scheme with errors to a common fixed point for two asymptotically nonexpansive mappings in a uniformly convex Banach space under a condition weaker than compactness. Our theorems improve and generalize some previous results.

• 대한수학회보
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• 제47권2호
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• pp.295-305
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• 2010

In this paper, we show that the modified Mann iteration with errors converges strongly to fixed point for uniformly L-Lipschitzian asymptotically $\Phi$-pseudocontractive mappings in real Banach spaces. Meanwhile, it is proved that the convergence of Mann and Ishikawa iterations is equivalent for uniformly L-Lipschitzian asymptotically $\Phi$-pseudocontractive mappings in real Banach spaces. Finally, we obtain the convergence theorems of Ishikawa iterative sequence and the modified Ishikawa iterative process with errors.

• Journal of applied mathematics & informatics
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• 제23권1_2호
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• pp.525-536
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• 2007

In this paper, we prove the weak and strong convergence of the Noor iterative scheme to a common fixed point for two asymptotically nonexpansive mappings in a uniformly convex Banach space under a condition weaker than compactness. Our theorems improve and generalize some previous results.

• 충청수학회지
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• 제24권1호
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• pp.35-43
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• 2011

In this paper we define the convergence of ${\delta}$-filters and study them. We show that ${\delta}$-filters on a Hausdorff space X converge at most one point in X. We also show that in a P-space X, ${\delta}$-filters on X converge at most one point in X if and only if X is a Hausdorff space.