• Title/Summary/Keyword: global solutions

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The Synthesis of a High Yield PbSe Quantum Dots by Hot Solution Method

  • Baek, In-Chan;Seok, Sang-Il;Chung, Yong-Chae
    • Bulletin of the Korean Chemical Society
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    • v.29 no.9
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    • pp.1729-1731
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    • 2008
  • Colloidal solutions of crystalline PbSe nanoparticles have been synthesized by hot solution chemical process using PbO in oleic acid and tributylphosphine (TBP) bonded selenium. The use of TBP as a capping agent along with oleic acid gives a very good yield (around 10% at 180 ${^{\circ}C}$) with an average diameter of particle of about < 6.6 nm. The effects of temperature on size and production yield of PbSe quantum dots are studied. Xray diffraction (XRD), high-resolution transmission electron microscopy (HRTEM) and UV/VIS/NIR absorption spectroscopy were used to characterize the samples.

Optimal design of composite laminates for minimizing delamination stresses by particle swarm optimization combined with FEM

  • Chen, Jianqiao;Peng, Wenjie;Ge, Rui;Wei, Junhong
    • Structural Engineering and Mechanics
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    • v.31 no.4
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    • pp.407-421
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    • 2009
  • The present paper addresses the optimal design of composite laminates with the aim of minimizing free-edge delamination stresses. A technique involving the application of particle swarm optimization (PSO) integrated with FEM was developed for the optimization. Optimization was also conducted with the zero-order method (ZOM) included in ANSYS. The semi-analytical method, which provides an approximation of the interlaminar normal stress of laminates under in-plane load, was used to partially validate the optimization results. It was found that optimal results based on ZOM are sensitive to the starting design points, and an unsuitable initial design set will lead to a result far from global solution. By contrast, the proposed method can find the global optimal solution regardless of initial designs, and the solutions were better than those obtained by ZOM in all the cases investigated.

Shape Reconstruction from Unorganized Cloud of Points using Adaptive Domain Decomposition Method (적응적 영역분할법을 이용한 임의의 점군으로부터의 형상 재구성)

  • Yoo Dong-Jin
    • Journal of the Korean Society for Precision Engineering
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    • v.23 no.8 s.185
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    • pp.89-99
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    • 2006
  • In this paper a new shape reconstruction method that allows us to construct surface models from very large sets of points is presented. In this method the global domain of interest is divided into smaller domains where the problem can be solved locally. These local solutions of subdivided domains are blended together according to weighting coefficients to obtain a global solution using partition of unity function. The suggested approach gives us considerable flexibility in the choice of local shape functions which depend on the local shape complexity and desired accuracy. At each domain, a quadratic polynomial function is created that fits the points in the domain. If the approximation is not accurate enough, other higher order functions including cubic polynomial function and RBF(Radial Basis Function) are used. This adaptive selection of local shape functions offers robust and efficient solution to a great variety of shape reconstruction problems.

Neighboring Optimal Control using Pseudospectral Legendre Method (Pseudospectral Legendre법을 이용한 근접 최적 제어)

  • 이대우;조겸래
    • Journal of the Korean Society for Precision Engineering
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    • v.21 no.7
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    • pp.76-82
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    • 2004
  • The solutions of neighboring optimal control are typically obtained using the sweep method or transition matrices. Due to the numerical integration, however, the gain matrix can become infinite as time go to final one in the transition matrices, and the Riccati solution can become infinite when the final time free. To overcome these disadvantages, this paper proposes the pseudospectral Legendre method which is to first discreteize the linear boundary value problem using the global orthogonal polynomial, then transforms into an algebraic equations. Because this method is not necessary to take any integration of transition matrix or Riccati equation, it can be usefully used in real-time operation. Finally, its performance is verified by the numerical example for the space vehicle's orbit transfer.

THE RULE OF TRAJECTORY STRUCTURE AND GLOBAL ASYMPTOTIC STABILITY FOR A FOURTH-ORDER RATIONAL DIFFERENCE EQUATION

  • Li, Xianyi;Agarwal, Ravi P.
    • Journal of the Korean Mathematical Society
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    • v.44 no.4
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    • pp.787-797
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    • 2007
  • In this paper, the following fourth-order rational difference equation $$x_{n+1}=\frac{{x_n^b}+x_n-2x_{n-3}^b+a}{{x_n^bx_{n-2}+x_{n-3}^b+a}$$, n=0, 1, 2,..., where a, b ${\in}$ [0, ${\infty}$) and the initial values $X_{-3},\;X_{-2},\;X_{-1},\;X_0\;{\in}\;(0,\;{\infty})$, is considered and the rule of its trajectory structure is described clearly out. Mainly, the lengths of positive and negative semicycles of its nontrivial solutions are found to occur periodically with prime period 15. The rule is $1^+,\;1^-,\;1^+,\;4^-,\;3^+,\;1^-,\;2^+,\;2^-$ in a period, by which the positive equilibrium point of the equation is verified to be globally asymptotically stable.

LONG-TIME BEHAVIOR OF A FAMILY OF INCOMPRESSIBLE THREE-DIMENSIONAL LERAY-α-LIKE MODELS

  • Anh, Cung The;Thuy, Le Thi;Tinh, Le Tran
    • Bulletin of the Korean Mathematical Society
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    • v.58 no.5
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    • pp.1109-1127
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    • 2021
  • We study the long-term dynamics for a family of incompressible three-dimensional Leray-α-like models that employ the spectral fractional Laplacian operators. This family of equations interpolates between incompressible hyperviscous Navier-Stokes equations and the Leray-α model when varying two nonnegative parameters 𝜃1 and 𝜃2. We prove the existence of a finite-dimensional global attractor for the continuous semigroup associated to these models. We also show that an operator which projects the weak solution of Leray-α-like models into a finite-dimensional space is determining if it annihilates the difference of two "nearby" weak solutions asymptotically, and if it satisfies an approximation inequality.

Electronic Proceedings in Modern Legal Conditions

  • Veselovska, Nataliia;Slipeniuk, Vasyl;Yasynok, Dmytro;Zhukevych, Ihor;Gorbenko, Arina
    • International Journal of Computer Science & Network Security
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    • v.21 no.8
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    • pp.224-228
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    • 2021
  • The article is devoted to the problems and prospects of integration of informational technologies in the administration of justice as a necessary component of the development of the informational society in Ukraine. In general, informational technologies make it possible to create new forms of organization and interaction of bodies of public authorities with society, to introduce innovative solutions for legal regulation and organization of public relations. More and more services for citizens are moving to electronic format. Judicial reform is aimed at ensuring more comfortable and convenient interaction with the courts. The need for the usage of informational technology in the proceedings is preconditioned by the global informatization of modern society, the development of new forms of interaction in the civil sphere with the usage of electronic means of communication: the global Internet, mobile, and satellite communication systems and more. "Electronic justice" involves the use of information and communication technologies in the implementation of procedural law.

Feasibility study of improved particle swarm optimization in kriging metamodel based structural model updating

  • Qin, Shiqiang;Hu, Jia;Zhou, Yun-Lai;Zhang, Yazhou;Kang, Juntao
    • Structural Engineering and Mechanics
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    • v.70 no.5
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    • pp.513-524
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    • 2019
  • This study proposed an improved particle swarm optimization (IPSO) method ensemble with kriging model for model updating. By introducing genetic algorithm (GA) and grouping strategy together with elite selection into standard particle optimization (PSO), the IPSO is obtained. Kriging metamodel serves for predicting the structural responses to avoid complex computation via finite element model. The combination of IPSO and kriging model shall provide more accurate searching results and obtain global optimal solution for model updating compared with the PSO, Simulate Annealing PSO (SimuAPSO), BreedPSO and PSOGA. A plane truss structure and ASCE Benchmark frame structure are adopted to verify the proposed approach. The results indicated that the hybrid of kriging model and IPSO could serve for model updating effectively and efficiently. The updating results further illustrated that IPSO can provide superior convergent solutions compared with PSO, SimuAPSO, BreedPSO and PSOGA.

Settlement Solution by ADR on Dispute in Intellectual Property Right

  • Lee, Jae Sung
    • Journal of Arbitration Studies
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    • v.29 no.3
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    • pp.121-140
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    • 2019
  • First, the purpose of this research is to review the Online Dispute Resolution (ODR) regulations in Korea to resolve disputes which can arise in international e-commerce in the near future. Second, this research tries to look for alternative solutions to dispute resolutions according to these regulations. Third, this research pursues to enhance the effectiveness of business deals by providing efficient and satisfactory dispute resolution methods for e-commerce business. Furthermore, this study evaluates the definition of global e-commerce by comparing Online Dispute Resolution (ODR) with Alternative Dispute Resolution (ADR). Through analyzing the domestic ODR system and ADR system, this research could boost the employment of settlements in small-sized disputes through easy and convenient consumer access to both ODR and ADR procedures. The enhancement of the competitiveness of Korean companies in the global market is estimated to take place as a result. This research is estimated to provide benefits to our businesses both domestically and internationally by using ODR regulations and ADR methods. Moreover, this research is anticipated to verify usefulness in terms of consumer protection by advancing consumers' access to dispute solution authorities locally and abroad.

CONVERGENCE AND DECAY ESTIMATES FOR A NON-AUTONOMOUS DISPERSIVE-DISSIPATIVE EQUATION WITH TIME-DEPENDENT COEFFICIENTS

  • Kim, Eun-Seok
    • Honam Mathematical Journal
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    • v.44 no.2
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    • pp.281-295
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    • 2022
  • This paper deals with the long - time behavior of global bounded solutions for a non-autonomous dispersive-dissipative equation with time-dependent nonlinear damping terms under the null Dirichlet boundary condition. By a new Lyapunov functional and Łojasiewicz-Simon inequality, we show that any global bounded solution converges to a steady state and get the rate of convergence as well, which depends on the decay of the non-autonomous term g(x, t), when damping coefficients are integral positive and positive-negative, respectively.