• Ocean Systems Engineering
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• v.2 no.3
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• pp.229-238
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• 2012

We discuss the bi - stability that is possibly exhibited by a liquid free surface in a parametrically - driven two-dimensional (2D) rectangular tank with finite liquid depth. Following the method of adaptive mode ordering, assuming two dominant modes and retaining polynomial nonlinearities up to third-order, a nonlinear finite-dimensional nonlinear modal system approximation is obtained. A "continuation method" of nonlinear dynamics is then used in order to elicit efficiently the instability boundary in parameters' space and to predict how steady surface elevation changes as the frequency and/or the amplitude of excitation are varied. Results are compared against those of the linear version of the system (that is a Mathieu-type model) and furthermore, against an intermediate model also derived with formal mode ordering, that is based on a second - order ordinary differential equation having nonlinearities due to products of elevation with elevation velocity or acceleration. The investigation verifies that, in parameters space, there must be a region, inside the quiescent region, where liquid surface instability is exhibited. There, behaviour depends on initial conditions and a wave form would be realised only if the free surface was substantially disturbed initially.

• Economic and Environmental Geology
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• v.23 no.3
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• pp.353-358
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• 1990

This paper presents numerical experiments on migration of synthetic seismograms using by $45^{\circ}$ wave equation. The seismograms used are zero-offset seismogram (corresponding to stacked section) on point reflectors, dipping plane reflector, faulted and folded layers. The seismograms are constructed by upward continuation of seismic source wavelets, exploading on subsurface reflection interfaces, to the earth surface. The synthetic seismograms are migrated by downward continuation and imaging. The upward and downward continuations are implemented by solving the $45^{\circ}$ wave equation with the finite-difference method. Migration of the synthetic data used in this study results in relatively accurate reposition of subsurface structures while the synthetic sections are quite different from the structures.

• Proceedings of the Korean Information Science Society Conference
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• 2000.10c
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• pp.659-661
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• 2000

폰 노이만 모델의 지역성과 데이터플로우 모델의 병렬성을 결합하여 등장한 모델이 다중 스레드 모델이다. 다중스레드 모델의 목적은 통신시간과 계산 시간을 겹침으로써 프로세서의 활용도를 높이고자 하는 것이다. 기존의 대부분의 다중 스레드 모델의 스레드 스케쥴링 기법은 FIFO 혹은 FILO 방식을 사용하고 있다. 본 논문에서는 프로세서의 활용도를 높이고 프로세서의 휴지 시간을 줄이기 위해서 원격 함수 호출 혹은 원격 메모리 참조 기능의 스레드(이후로는 원격 스레드라 부름)와 계산 기능의 스레드가 동시에 활성화되었을 때 원격 스레드들을 먼저 수행하는 것이 프로세서의 지연 시간을 줄이고 병렬성을 높이는 데 효과적임을 제안한다. 이것을 구현하기 위해서 프레임 내부의 지속 벡터(CV)를 CCV(call continuation vector)와 LCV(local continuation vector) 둘로 구분하였다. 스레드가 활성화될 때 CCV에는 원격 스레드들을, LCV에는 계산 스레드들을 저장한 후, CCV에 저장된 스레드들을 먼저 수행하고 LCV를 나중에 수행한다.

• Advances in nano research
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• v.9 no.4
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• pp.277-294
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• 2020

In current paper, nonlocal (NLT), nonlocal strain gradient (NSGT) and Gurtin-Murdoch surface/interface (GMSIT) theories with classical theory (CT) are utilized to investigate vibration and stability analysis of Double Walled Piezoelectric Nanosensor (DWPENS) based on cylindrical nanoshell. DWPENS simultaneously subjected to direct electrostatic voltage DC and harmonic excitations, structural damping, two piezoelectric layers and also nonlinear van der Waals force. For this purpose, Hamilton's principle, Galerkin technique, complex averaging and with arc-length continuation methods are used to analyze nonlinear behavior of DWPENS. For this work, three nonclassical theories compared with classical theory CT to investigate Dimensionless Natural Frequency (DNF), pull-in voltage, nonlinear frequency response and stability analysis of the DWPENS considering the nonlocal, material length scale, surface/interface (S/I) effects, electrostatic and harmonic excitation.

• Communications of the Korean Mathematical Society
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• v.27 no.1
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• pp.107-116
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• 2012

Here, by using the symbolical method introduced by Burchnall and Chaundy, we aim at constructing certain expansion formulas for the generalized hypergeometric function $_pF_q$. In addition, using our expansion formulas for $_pF_q$, we present formulas of an analytic continuation of the Clausen hypergeometric function $_3F_2$, which are much simpler than an earlier known result. We also give some integral representations for $_3F_2$.

• ETRI Journal
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• v.38 no.5
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• pp.896-902
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• 2016

Luby transform (LT) codes were the first practical rateless erasure codes proposed in the literature. The performances of these codes, which are iteratively decoded using belief propagation algorithms, depend on the degree distribution used to generate the coded symbols. The existence of degree-one coded symbols is essential for the starting and continuation of the decoding process. The absence of a degree-one coded symbol at any instant of an iterative decoding operation results in decoding failure. To alleviate this problem, we proposed a method used in the absence of a degree-one code symbol to overcome a stuck decoding operation and its continuation. The simulation results show that the proposed approach provides a better performance than a conventional LT code and memory-based robust soliton distributed LT code, as well as that of a Gaussian elimination assisted LT code, particularly for short data lengths.

• Convergence Security Journal
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• v.14 no.6_1
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• pp.75-87
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• 2014

It may be meaningful that analysis of possible continuity and change of North Korea's Kim Jong-un's ruling in its third year. For this analysis, for the application more rational and statistical analysis methods, this study takes advantage of the new years' messages of Kim Il Sung, Kim Jong Il, and Kim Jong-un. In North Korea, the new years' messages are rare enough to give influence to every field of the North Korea's community and the New Year's message performs tutorial role throughout the whole year. The said messages of Il Sung, Kim Jong Il, and Kim Jong-un regimes have been researched and comprehensively summarized. The summarized New Year's Message by Kim Il Sung, Kim Jong Il, and Kim Jong Un are separated, compared and analyzed by the regime by presentation method, configured information, and others followed by New Year message's characteristics and implications of each North Korean regime that have been investigated. Based on the results of this analysis of Kim Jong-un era, possibility of its continuation and change is forecasted. Above all, for possible continuation of the ruling, sticking to the governing socialist way and military-first politics are presented. For possible causes of change, such the four factors as partial opening to overcome economic problems, the North Korean nuclear issue, influx of the nature of capitalism, and Kim Jung-un's control weakness have been presented. Such the factors of possible change and continuation of the North Korea Kim Jung-un ruling are expected to work as a combination of factors. The issue of continuation and change of North Korea Kim Jong-un's control is a key point for us to solve the issues between North and South Koreas. In the situation that the whole people of South Korea have a national consensus in the effort of gathering the public opinion, it is a high time that we needed to have much flexibility to actively cope with the North Korean issues.

• Economic and Environmental Geology
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• v.14 no.2
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• pp.93-102
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• 1981

Studies of model potential fields continued upward and downward show differences depending on the method of continuation. Beginning with a magnetic field computed over a buried vertical cylinder, the field was continued to various levels by a method introduced by Henderson (Lagrangian interpolation) and by a spectral method (frequency domain analysis). Resultant fields show (1) no significant differences in upward continued values, (2) in downward continuation, accurate values are obtained with the spectral method over the central part of the anomaly, and (3) accurate values are obtained with Henderson's method on the flanks of the anomaly, while oscillations usually characterize the spectral method in this region. Essentially the same observations are made for derivative calculations. Field oscillations are empirically predicted at levels continued to approximately two-thirds of the depth of the source. Our spectral computer program output yields marked oscillations at one-half of the depth of the source. Henderson's method shows no oscillations at this depth and only minor oscillations at the top of the body (some negative values appear on the flanks of the anomaly). The Henderson output is a smooth field even if continued below the top of the body. These results suggest that the presence of oscillations cannot be used to identify the top of a buried source without careful consideration of the method used to continue the field. Use of the derivative to outline and isolate anomalies must similarly include consideration of the method of calculation.

• Journal of applied mathematics & informatics
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• v.6 no.3
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• pp.685-696
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• 1999

We present local and semilocal convergence results for New-ton's method in a Banach space setting. In particular using Lipschitz-type assumptions on the second Frechet-derivative we find results con-cerning the radius of convergence of Newton's method. Such results are useful in the context of predictor-corrector continuation procedures. Finally we provide numerical examples to show that our results can ap-ply where earlier ones using Lipschitz assumption on the first Frechet-derivative fail.

• East Asian mathematical journal
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• v.19 no.2
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• pp.173-187
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• 2003

We study decay estimates of the energy for the nonlinear wave equation in the whole space. We note that the method of proof is based on the multiplier technique and on the unique continuation, and no geometrical condition is imposed on the boundary.