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Conservative properties analysis of multi-symplectic integrator for the Schrödinger equation with wave operator

AIP Conference Proceedings 2012年第1期1479卷 1283-1286页

作者： Linghua Kong Lan Wang Xiuling Yin Yali Duan School of Mathematics and Information Science Jiangxi Normal University Nanchang Jiangxi 330022 China State Key Laboratory of Scientific and Engineering Computing Institute of Computational Mathematics and Scientific/Engineering Computing AMSS CAS P.O. Box 2719 Beijing 100190 China School of Mathematical Science University of Science and Technology of China Hefei Anhui 230026 China

In the article, we discuss the conservation laws for the nonlinear Schrödinger equation with wave operator under multisymplectic integrator (MI). The discrete conservation laws of the numerical method are analyzed. It is verified that the proposed MI can stably simulate the multisymplectic Hamiltonian system excellent over long time. It is more accurate than some energy-preserving schemes though they are of the same accuracy. Moreover, the residual of mass is less than energy-preserving schemes under the same mesh partition over long-term.

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Modelling of the electric field assisted capillarity effect used for the fabrication of hollow polymer microstructures

Modelling of the electric field assisted capillarity effect ...

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2012 13th International Thermal, Mechanical and Multi-Physics Simulation and Experiments in Microelectronics and Microsystems, EuroSimE 2012

作者： Tonry, C. Patel, M. Bailey, C. Desmuliez, M.P.Y. Cargill, S. Yu, W. School of Computing and Mathematical Sciences University of Greenwich 30 Park Row London SE10 9LS United Kingdom School of Engineering and Physical Sciences Heriot-Watt University Edinburgh EH14 4AS United Kingdom State Key Laboratory of Applied Optics Changchun Institute of Optics Fine Mechanics and Physics Chinese Academy of Sciences 3888 Dongnanhu Road Changchun Jilin China

ISBN: (纸本)9781467315128

Electric Field Assisted Capillarity (EFAC) is a novel process which has the potential for the single step fabrication of hollow polymer microstructures. The process has been shown to work experimentally on a microscale level using Polydimethylsiloxane (PDMS). The process makes use of both the electrohydrodynamics of polymer at a microscale and the voltage enhanced capillary force exerted on the polymer. This paper discusses the results of a two-dimensional numerical simulation of this process. The results presented use a patterned master electrode producing encapsulated microchannels in the polymer. The simulations demonstrate how the differing contact angles between the polymer and the walls of the master electrode affect the thickness of the top surface of the formed microstructures. It also specifies the conditions necessary for the successful fabrication of such microstructures. © 2012 IEEE.

关键词： Fabrication

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Empirical mode decomposition on surfaces

Empirical mode decomposition on surfaces

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作者： Wang, Hui Su, Zhixun Cao, Junjie Wang, Ye Zhang, Hao School of Mathematical Sciences Dalian University of Technology No. 2 Linggong Road Dalian 116024 Liaoning China GrUVi Lab School of Computing Science Simon Fraser University Burnaby V5A1S6 Canada Department of Mathematics Harbin Institute of Technology Harbin 150001 China State Key Laboratory of Structural Analysis for Industrial Equipment Department of Engineering Mechanics Dalian University of Technology China

Empirical Mode Decomposition (EMD) is a powerful tool for analysing non-linear and non-stationary signals, and has drawn a great deal of attentions in various areas. In this paper, we generalize the classical EMD from Euclidean space to the setting of surfaces represented as triangular meshes. Inspired by the EMD, we also propose a feature-preserving smoothing method based on extremal envelopes. The core of our generalized EMD on surfaces is an envelope computation method that solves a bi-harmonic field with Dirichlet boundary conditions. Experimental results show that the proposed generalization of EMD on surfaces works well. We also demonstrate that the generalized EMD can be effectively utilized in filtering scalar functions defined over surfaces and surfaces themselves. © 2012 Elsevier Inc. All rights reserved.

关键词： Empirical mode decomposition

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Stochastic multisymplectic integrator for stochastic KdV equation

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AIP Conference Proceedings 2012年第1期1479卷 1757-1760页

作者： Shanshan Jiang Lijin Wang Jialin Hong College of Science Beijing University of Chemical Technology Beijing 100029 China School of Mathematical Sciences University of Chinese Academy of Sciences Beijing 100049 China State Key Laboratory of Scientific and Engineering Computing Institute of Computational Mathematics and Scientific/Engineering Computing Academy of Mathematics and System Science Chinese Academy of Sciences P.O. Box 2719 Beijing 100190 China

In this paper we investigate the stochastic multisymplectic methods to solve the stochastic partial differential equation. The stochastic KdV equations are considered. Besides conserving the multi-symplectic structure of original equation, the stochastic multi-symplectic methods are also investigated for the conservation of various conservation laws. We deduce the transit laws of the specific formal conservation laws. Numerical experiments are illustrated to verify the good behaviors of stochastic multisymplectic methods.

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Research on fractional order controller based on best rational approximation approach

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Journal of Convergence Information Technology 2012年第4期7卷 50-58页

作者： Zhao, Huimin Nie, Bing Li, Wen Deng, Wu Software Institute Dalian Jiaotong University Dalian 116028 China Key Laboratory of Numerical Simulation in the Sichuan Provincial College Neijiang Normal University Neijiang 641112 China Artificial Intelligence Key Laboratory of Sichuan Province Sichuan University of Science and Engineering Zigong 643000 China State Key Laboratory of Power Transmission Equipment and System Security and New Technology College of Electrical Engineering Chongqing University Chongqing 400044 China Key Laboratory of advanced Design and Intelligent Computing Dalian University Ministry of Education Dalian 116622 China

Introduce the basic concept of best rational approximation and constructing procedure of the best rational approximation function in Laplace domain. By an illustrative example the design method of FOC based on best rational approximation is discussed. The performance comparison of transfer functions between the FOC obtained by best rational approximation method and conventional PID shows that it is effective to apply the method in design of FOC, which can guarantee maximum absolute error of amplitude frequency characteristic of approximation function in a given error tolerance.

关键词： Rational functions

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Predictive control of convex polyhedron LPV systems with Markov jumping parameters

Predictive control of convex polyhedron LPV systems with Mar...

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Chinese Control and Decision Conference, CCDC

作者： Yanyan Yin Fei Liu Peng Shi Hamid Reza Karimi Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education) Institute of Automation Jiangnan University Wuxi 214122 China Department of Computing and Mathematical Sciences University of Glamorgan Pontypridd CF37 1DL United Kingdom Department of Engineering Faculty of Engineering and Science University of Agder N-4898 Grimstad Norway

The problem of receding horizon predictive control of stochastic linear parameter varying systems is discussed. First, constant coefficient matrices are obtained at each vertex in the interior of linear parameter varying system, and then, by considering semi-definite programming constraints, weight coefficients between each vertex are calculated, and the equal coefficients matrices for the time variable system are obtained. Second, in the given receding horizon, for each mode sequence of the stochastic convex polyhedron linear parameter varying systems, the optimal control input sequences are designed in order to make the states into a terminal invariant set. Outside of the receding horizon, stability of the system is guaranteed by searching a state feedback control law. Finally, receding horizon predictive controller is designed in terms of linear matrix inequality for such system. Simulation example shows the validity of this method.

关键词： Markov processes Predictive control Equations Educational institutions Programming Symmetric matrices

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Gain-Scheduled H-infinity Observer Design for Nonlinear Stochastic Systems with Time-Delay and Actuator Saturation

Gain-Scheduled H-infinity Observer Design for Nonlinear Stoc...

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American Control Conference

作者： Yanyan Yin Peng Shi Fei Liu Hamid Reza Karimi Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education) Institute of Automation Jiangnan University Wuxi Jiangsu 214122 P. R. China Department of Computing and Mathematical Sciences University of Glamorgan Pontypridd CF37 1DL United Kingdom Department of Engineering Faculty of Engineering and Science University of Agder N-4898 Grimstad Norway

ISBN: (纸本)9781457710957

In this paper, we propose a method for designing continuous gain-scheduled robust H_∞ observer on a class of extended stochastic nonlinear systems subject to time delay and actuator saturation. Initially, gradient linearization procedure is applied to describe such extended nonlinear systems into several model-based linear systems. Next, a robust linear H_∞ observer is designed to such linear stochastic models. Subsequently, a convex hull set is investigated and sufficient condition is derived in terms of feedback observer to determine whether a given initial condition belongs to an ellipsoid invariant set. Finally, continuous gain-scheduled approach is employed to design continuous nonlinear observers on the entire extended nonlinear jump system. A simulation example is given to illustrate the effectiveness of developed techniques.

关键词： Nonlinear stochastic system time delay Observers actuators system clock INITIAL CONDITIONS Nonlinear systems

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Modelling of the Electric Field Assisted Capillarity Effect used for the fabrication of hollow polymer microstructures

Modelling of the Electric Field Assisted Capillarity Effect ...

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Thermal, Mechanical and Multiphysics Simulation and Experiments in Micro-Electronics and Micro-Systems EuroSimE

作者： C. Tonry M. Patel C. Bailey M.P.Y. Desmuliez S. Cargill W. Yu Computational Mechanics and Reliability Group (CMRG) School of Computing and Mathematical Sciences University of Greenwich London UK Microsystems Engineering Centre (MISEC) School of Engineering & Physical Sciences Heriot-Watt University Edinburgh UK State Key Laboratory of Applied Optics Changchun Institute of Optics Fine mechanics and Physics Chinese Academy of Sciences Changchun Jilin China

关键词： Numerical models Electronic mail Electrodes Manganese Polymers

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Provably Secure Role-Based Encryption with Revocation Mechanism

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Journal of Computer Science & Technology 2011年第4期26卷 697-710页

作者：朱岩胡宏新 Gail-Joon Ahn 王怀习王善标 Institute of Computer Science and Technology Peking University Beijing Key Laboratory of Internet Security Technology Peking University School of Computing Informatics and Decision Systems EngineeringArizona State University School of Mathematical Sciences Peking University

Role-Based Encryption （RBE） realizes access control mechanisms over encrypted data according to the widely adopted hierarchical RBAC model. In this paper, we present a practical RBE scheme with revocation mechanism based on partial-order key hierarchy with respect to the public key infrastructure, in which each user is assigned with a unique private-key to support user identification, and each role corresponds to a public group-key that is used to encrypt data. Based on this key hierarchy structure, our RBE scheme allows a sender to directly specify a role for encrypting data, which can be decrypted by all senior roles, as well as to revoke any subgroup of users and roles. We give a full proof of security of our scheme against hierarchical collusion attacks. In contrast to the existing solutions for encrypted file systems, our scheme not only supports dynamic joining and revoking users, but also has shorter ciphertexts and constant-size decryption keys.

关键词： cryptography role-based encryption role hierarchy key hierarchy collusion security revocation

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Provably secure role-based encryption with revocation mechanism

Provably secure role-based encryption with revocation mechan...

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作者： Zhu, Yan Hu, Hong-Xin Ahn, Gail-Joon Wang, Huai-Xi Wang, Shan-Biao Institute of Computer Science and Technology Peking University Beijing 100871 China Beijing Key Laboratory of Internet Security Technology Peking University Beijing 100871 China School of Computing Informatics and Decision Systems Engineering Arizona State University Tempe AZ 85287 United States 4School of Mathematical Sciences Peking University Beijing 100871 China

Role-Based Encryption (RBE) realizes access control mechanisms over encrypted data according to the widely adopted hierarchical RBAC model. In this paper, we present a practical RBE scheme with revocation mechanism based on partial-order key hierarchy with respect to the public key infrastructure, in which each user is assigned with a unique private-key to support user identification, and each role corresponds to a public group-key that is used to encrypt data. Based on this key hierarchy structure, our RBE scheme allows a sender to directly specify a role for encrypting data, which can be decrypted by all senior roles, as well as to revoke any subgroup of users and roles. We give a full proof of security of our scheme against hierarchical collusion attacks. In contrast to the existing solutions for encrypted file systems, our scheme not only supports dynamic joining and revoking users, but also has shorter ciphertexts and constant-size decryption keys. © 2011 Springer Science+Business Media, LLC & Science Press, China.

关键词： Access control

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