• Title/Summary/Keyword: Local Error

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A LOCAL-GLOBAL STEPSIZE CONTROL FOR MULTISTEP METHODS APPLIED TO SEMI-EXPLICIT INDEX 1 DIFFERENTIAL-ALGEBRAIC EUATIONS

  • Kulikov, G.Yu;Shindin, S.K.
    • Journal of applied mathematics & informatics
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    • v.6 no.3
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    • pp.697-726
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    • 1999
  • In this paper we develop a now procedure to control stepsize for linear multistep methods applied to semi-explicit index 1 differential-algebraic equations. in contrast to the standard approach the error control mechanism presented here is based on monitoring and contolling both the local and global errors of multistep formulas. As a result such methods with the local-global stepsize control solve differential-algebraic equation with any prescribed accuracy (up to round-off errors). For implicit multistep methods we give the minimum number of both full and modified Newton iterations allowing the iterative approxima-tions to be correctly used in the procedure of the local-global stepsize control. We also discuss validity of simple iterations for high accuracy solving differential-algebraic equations. Numerical tests support the the-oretical results of the paper.

A Location Technique Based On Calibrated Radio Frequency Propagation Model For Wireless Local Area Networks (교정된 전파전파 모델에 기반한 WLAN 측위 기법)

  • Kim, Hee-Sung;Shim, Ju-Young;Choi, Wan-Sik;Lee, Hyung-Keun
    • Journal of Institute of Control, Robotics and Systems
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    • v.14 no.8
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    • pp.760-766
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    • 2008
  • This paper proposes an efficient location technique to find an indoor location under the IEEE 802.11 wireless local area networks. The proposed method is based on the range measurements obtained from a simple radio frequency propagation model. Thus, unlike the radio frequency fingerprint correlation method, it does not suffer from the computational burden during the real-time location service period and can quickly reply the location requests of many users at the same time. To increase the location accuracy in spite of the frequent non-line-of-sight error occurrences, the proposed method calibrates the distortion of the non-line-of-sight error by a simple measurement surveying procedure that does not require the surveyor's manual interaction. Experimental results show the capability of the proposed method.

OPTIMAL ERROR ESTIMATE OF A DECOUPLED CONSERVATIVE LOCAL DISCONTINUOUS GALERKIN METHOD FOR THE KLEIN-GORDON-SCHRÖDINGER EQUATIONS

  • YANG, HE
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.24 no.1
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    • pp.39-78
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    • 2020
  • In this paper, we propose a decoupled local discontinuous Galerkin method for solving the Klein-Gordon-Schrödinger (KGS) equations. The KGS equations is a model of the Yukawa interaction of complex scalar nucleons and real scalar mesons. The advantage of our scheme is that the computation of the nucleon and meson field is fully decoupled, so that it is especially suitable for parallel computing. We present the conservation property of our fully discrete scheme, including the energy and Hamiltonian conservation, and establish the optimal error estimate.

A Longitudinal Study on the Changes in Individual Local Government's Social Spending in South Korea (기초지방정부 사회복지비 지출비중의 변화요인 탐색)

  • Jang, Dong-Ho
    • Korean Journal of Social Welfare
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    • v.59 no.1
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    • pp.329-351
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    • 2007
  • This study analyzes the changes in individual local government's social spending from 1995 to 2004 in South Korea. Using the pooled time-series and cross-sectional data of 226 basic-level local governments, the resulting analyses of an error correction model are very interesting: First, a rising local population led to an immediate increase in social spending; Secondly, local governments gradually increased social spending when the elderly ratio had been high, but the levels of social spending in the previous year and local economy related spending level had been low. Thirdly, there were no spending changes associated with local elections and partisan politics. Fourthly, both cooperative and competitive intergovernmental relations had the most significant effect on the social spending and reduced geographical disparities in the level of spending across localities. In conclusion, this study suggests that we establish a more comprehensive intergovernmental network which lead to territorial justice in social welfare.

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A POSTERIORI ERROR ESTIMATOR FOR HIERARCHICAL MODELS FOR ELASTIC BODIES WITH THIN DOMAIN

  • Cho, Jin-Rae;J. Tinsley Oden
    • Journal of Theoretical and Applied Mechanics
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    • v.3 no.1
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    • pp.16-33
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    • 2002
  • A concept of hierarchical modeling, the newest modeling technology. has been introduced early In 1990. This nu technology has a goat potential to advance the capabilities of current computational mechanics. A first step to Implement this concept is to construct hierarchical models, a family of mathematical models which are sequentially connected by a key parameter of the problem under consideration and have different levels in modeling accuracy, and to investigate characteristics In their numerical simulation aspects. Among representative model problems to explore this concept are elastic structures such as beam-, arch-. plate- and shell-like structures because the mechanical behavior through the thickness can be approximated with sequential accuracy by varying the order of thickness polynomials in the displacement or stress fields. But, in the numerical analysis of hierarchical models, two kinds of errors prevail: the modeling error and the numerical approximation errors. To ensure numerical simulation quality, an accurate estimation of these two errors Is definitely essential. Here, a local a posteriori error estimator for elastic structures with thin domain such as plate- and shell-like structures Is derived using element residuals and flux balancing technique. This method guarantees upper bounds for the global error, and also provides accurate local error Indicators for two types of errors, in the energy norm. Comparing to the classical error estimators using flux averaging technique, this shows considerably reliable and accurate effectivity indices. To illustrate the theoretical results and to verify the validity of the proposed error estimator, representative numerical examples are provided.

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A study on local facial features using LDP (LDP를 이용한 지역적 얼굴 특징 표현 방법에 관한 연구)

  • Cho, Young Tak;Jung, Woong Kyung;Ahn, Yong Hak;Chae, Ok Sam
    • Convergence Security Journal
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    • v.14 no.5
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    • pp.49-56
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    • 2014
  • In this paper, we proposed a method for representing local facial features based on LDP (Local Directional Pattern). To represent both PFF (Permanent Facial Features) and TFF (Transient Facial Features) effectively, the proposed method configure local facial feature vectors based on overlapped blocks for each facial feature in the forms of various size and shape. There are three advantages - it take advantages of geometric feature based method; it shows robustness about detection error using movement characteristics of each facial feature; and it shows reduced sampling error because maintain spatial information caused by block size variability. Proposed method shows better classification accuracy and reduced amount of calculation than existing methods.

An edge-based smoothed finite element method for adaptive analysis

  • Chen, L.;Zhang, J.;Zeng, K.Y.;Jiao, P.G.
    • Structural Engineering and Mechanics
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    • v.39 no.6
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    • pp.767-793
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    • 2011
  • An efficient edge-based smoothed finite element method (ES-FEM) has been recently developed for solving solid mechanics problems. The ES-FEM uses triangular elements that can be generated easily for complicated domains. In this paper, the complexity study of the ES-FEM based on triangular elements is conducted in detail, which confirms the ES-FEM produces higher computational efficiency compared to the FEM. Therefore, the ES-FEM offers an excellent platform for adaptive analysis, and this paper presents an efficient adaptive procedure based on the ES-FEM. A smoothing domain based energy (SDE) error estimate is first devised making use of the features of the ES-FEM. The present error estimate differs from the conventional approaches and evaluates error based on smoothing domains used in the ES-FEM. A local refinement technique based on the Delaunay algorithm is then implemented to achieve high efficiency in the mesh refinement. In this refinement technique, each node is assigned a scaling factor to control the local nodal density, and refinement of the neighborhood of a node is accomplished simply by adjusting its scaling factor. Intensive numerical studies, including an actual engineering problem of an automobile part, show that the proposed adaptive procedure is effective and efficient in producing solutions of desired accuracy.

A Fault-Tolerance Agent for Multimedia Collaboration Works running on Vehicle Environment (차량 환경 상에서 멀티미디어 공동 작업을 위한 결함 허용 에이전트)

  • Ko, Eung-Nam
    • Journal of Advanced Navigation Technology
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    • v.15 no.1
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    • pp.157-161
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    • 2011
  • This paper explains an error process for multimedia collaboration works with session management running on vehicle network environment. This system consists of an FDA and FRA. FDA is an agent that detects an error by hooking techniques for multimedia system based on vehicle network environment with session management. FRA is a system that is suitable for recovering software error for multimedia system with session management based on vehicle network environment. This paper describes only FRA. When multiple local sessions is opened, each local session manager sends information of participant to global session manager and take current information about session of processing in network.

Analytic Error Caused by the Inconsistency of the Approximation Order between the Non Local Boundary Condition and the Parabolic Governing Equation (포물선 지배 방정식과 비국소적 경계조건의 근사 차수 불일치에 의한 해석적 오차)

  • Lee Keun-Hwa;Seong Woo-Jae
    • The Journal of the Acoustical Society of Korea
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    • v.25 no.5
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    • pp.229-238
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    • 2006
  • This paper shows the analytic error caused by the inconsistency of the approximation order between the non local boundary condition (NLBC) and the parabolic governing equation. To obtain the analytic error, we first transform the NLBC to the half space domain using plane wave analysis. Then, the analytic error is derived on the boundary between the true numerical domain and the half space domain equivalent to the NLBC. The derived analytic error is physically expressed as the artificial reflection. We examine the characteristic of the analytic error for the grazing angle, the approximation order of the PE or the NLBC. Our main contribution is to present the analytic method of error estimation and the application limit for the high order parabolic equation and the NLBC.

Reliability Computation of Neuro-Fuzzy Models : A Comparative Study (뉴로-퍼지 모델의 신뢰도 계산 : 비교 연구)

  • 심현정;박래정;왕보현
    • Journal of the Korean Institute of Intelligent Systems
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    • v.11 no.4
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    • pp.293-301
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    • 2001
  • This paper reviews three methods to compute a pointwise confidence interval of neuro-fuzzy models and compares their estimation perfonnanee through simulations. The eOITl.putation methods under consideration include stacked generalization using cross-validation, predictive error bar in regressive models, and local reliability measure for the networks employing a local representation scheme. These methods implemented on the neuro-fuzzy models are applied to the problems of simple function approximation and chaotic time series prediction. The results of reliability estimation are compared both quantitatively and qualitatively.

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