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A rectangle rule for the computation of hypersingular integral

IOP Conference Series: Materials science and engineering 2010年第1期10卷

作者： Jin Li Dehao Yu LSEC Institute of Computational Mathematics and Scientific/Engineering Computing Academy of Mathematics and Systems Science Chinese Academy of Sciences PO Box 2719 Beijing 100190 China

The composite rectangle rule for the computation of Hadamard finite-part integrals in boundary element methods with the hypersingular kernel 1/(x − s)2 is discussed. For the case of singular point coinciding with the mesh point, a new quadrature rule which is based on the classical finite-part definition is presented. A kind of the hypersingular integral equation is solved by collocation methods and the maximal error estimation is given. Some numerical results are also illustrated to confirm the theoretical results and show the efficiency of the algorithms.

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A Third-Order Upwind Compact Scheme on Curvilinear Meshes for the Incompressible Navier-Stokes Equations

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Communications in computational Physics 2009年第2期5卷 712-729页

作者： Abdullah Shah Hong Guo Li Yuan LSEC Institute of Computational Mathematics and Scientific/Engineering ComputingAcademy of Mathematics and Systems ScienceChinese Academy of SciencesBeijing 100080China Department of Mathematics COMSATS Institute of Information TechnologyIslamabadPakistan

This paper presents a new version of the upwind compact finite difference scheme for solving the incompressible Navier-Stokes equations in generalized curvilinear *** artificial compressibility approach is used,which transforms the elliptic-parabolic equations into the hyperbolic-parabolic ones so that flux difference splitting can be *** convective terms are approximated by a third-order upwind compact scheme implemented with flux difference splitting,and the viscous terms are approximated by a fourth-order central compact *** solution algorithm used is the Beam-Warming approximate factorization *** solutions to benchmark problems of the steady plane Couette-Poiseuille flow,the liddriven cavity flow,and the constricting channel flow with varying geometry are *** computed results are found in good agreement with established analytical and numerical *** third-order accuracy of the scheme is verified on uniform rectangular meshes.

关键词： Upwind compact difference flux difference splitting incompressible Navier-Stokes equations artificial compressibility lid-driven cavity flow

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Parallel discrete event simulation on desktop grid computing infrastructures

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International Journal of Simulation and Process Modelling 2009年第2期5卷 157-171页

作者： Park, Alfred Fujimoto, Richard M. Computational Science and Engineering Division College of Computing Georgia Institute of Technology 266 Ferst Drive Atlanta GA 30332-0765 United States

In contrast to traditional Parallel Discrete Event Simulation (PDES) systems using dedicated machines, an alternative master/worker approach for high throughput execution on shared computing platforms is proposed. Master/worker systems offer potential advantages over traditional PDES systems such as better support for heterogeneous machines, client-driven load balancing, fault tolerance, and execution on non-dedicated machines. We examine feasibility of executing PDES codes on master/ worker systems. We characterise application properties that are important for efficient execution and define suitable performance metrics. The Aurora Parallel and Distributed Simulation System utilising the master/worker approach is described along with performance measurements in executing conservative PDES codes. Copyright © 2009, Inderscience Publishers.

关键词： Fault tolerance

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New expansions of numerical eigenvalues by Wilson's element

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Journal of computational and Applied Mathematics 2009年第1期225卷 213-226页

作者： Lin, Qun Huang, Hung-Tsai Li, Zi-Cai Institute of Computational Mathematics and Scientific/Engineering Computing Academy of Mathematics and System Sciences Chinese Academy of Sciences P.O. Box 2719 Beijing 1000080 China Department of Applied Mathematics I-Shou University 840 Taiwan Department of Applied Mathematics National Sun Yat-sen University Kaohsiung 80424 Taiwan Department of Computer Science and Engineering National Sun Yat-sen University Kaohsiung 80424 Taiwan

The paper explores new expansions of eigenvalues for - Δ u = λ ρ u in S with Dirichlet boundary conditions by Wilson's element. The expansions indicate that Wilson's element provides lower bounds of the eigenvalues. By the extrapolation or the splitting extrapolation, the O (h4) convergence rate can be obtained, where h is the maximal boundary length of uniform rectangles. Numerical experiments are carried to verify the theoretical analysis made. It is worth pointing out that these results are new, compared with the recent book, Lin and Lin [Q. Lin, J. Lin, Finite Element Methods;Accuracy and Improvement, science Press, Beijing, 2006]. © 2009.

关键词： Extrapolation

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Efficient GSVD Based Multi-User MIMO Linear Precoding and Antenna Selection Scheme

Efficient GSVD Based Multi-User MIMO Linear Precoding and An...

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IEEE International Conference on Communications (ICC)

作者： J. Park J. Chun H. Park Division of Electrical Engineering School of Electrical Engineering and Computer Science Korea Advanced Institute of Science and Technology Daejeon South Korea Division of Computational Science and Engineering College of Computing Georgia Institute of Technology Atlanta GA USA

We present a multi-user multiple-input multiple-output (MU-MIMO) preceding scheme utilizing generalized singular value decomposition (GSVD). Our work is motivated by the precoding scheme developed by Sadek, Tarighat, and Sayed that maximizes the signal to leakage and noise ratio (SLNR), in which the precoding weight is obtained by the generalized eigenvalue decomposition (GEVD). However, the covariance matrix utilized in GEVD becomes close to be singular as the signal to noise ratio goes high. To improve the numerical accuracy, a GSVD based algorithm is exploited in this paper and a novel method is derived to compute the precoding weights for multiple users by removing redundant computational loads rather than repeating the GSVD algorithm for each user. In addition, we propose a technique to speed up the GSVD based precoding algorithm by preprocessing using the QR decomposition. Finally, to improve the system performance, the antenna selection scheme using GSVD is also proposed which does not require the exhaustive search to choose the active antennas.

关键词： MIMO Receiving antennas Signal to noise ratio Covariance matrix Interference Linear discriminant analysis Transmitting antennas Matrix decomposition Paper technology Peer to peer computing

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Integrated model of IGF-I mediated biosynthesis in a deformed articular cartilage

Integrated model of IGF-I mediated biosynthesis in a deforme...

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作者： Zhang, Lihai Gardiner, Bruce Stuart Smith, David Wamsley Pivonka, Peter Grodzinsky, Alan Jay Department of Civil and Environmental Engineering University of Melbourne Melbourne VIC 3010 Australia Engineering Computational Biology Group School of Computer Science and Software Engineering The University of Western Australia Crawley WA 6009 Australia Faculty of Engineering Computing and Mathematics The University of Western Australia 35 Stirling Highway Crawley WA 6009 Australia Center for Biomedical Engineering Department of Electrical Engineering and Computer Science Massachusetts Institute of Technology Cambridge MA 02139 United States

Maintenance of articular cartilage's functional mechanical properties ultimately depends on the balance between the extracellular matrix component biosynthesis, degradation, and loss. A variety of factors are known to modulate the rate of cartilage matrix synthesis (e.g., growth factors and stress/strain environment). In the present study, we develop an integrated mathematical model that quantifies biological processes within cartilage tissue modulated by insulin-like growth factors (IGFs). Specifically, the model includes IGF transport through a deforming porous media, competitive binding to binding proteins and cell receptors, and matrix macromolecule biosynthesis - particularly glycosaminoglycans (GAGs). These newly synthesized matrix molecules are then able to modify the material properties of cartilage. The model is used to investigate the effect of synovial fluid IGF-I concentration on cartilage homeostasis. The results presented here suggest that GAG production can be rapidly "switched on" when the concentration of IGF-I reaches a certain threshold, while it is predicted that high receptor concentration leads to heterogeneous matrix production. As for the combined effect of IGF-I and mechanical loading on biosynthesis, the current model predicts that a loading regime with high strain magnitude (e.g., 10%) can achieve a synergistic effect on matrix protein production. Furthermore, dynamic loading is seen to promote spatial homogeneous GAG production. © 2009 ASCE.

关键词： Biosynthesis

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Ad Hoc distributed dynamic data-driven simulations of surface transportation systems

Ad Hoc distributed dynamic data-driven simulations of surfac...

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作者： Hunter, Michael Kim, Hoe Kyoung Suh, Wonho Fujimoto, Richard Sirichoke, Jason Palekar, Mahesh School of Civil and Environmental Engineering Georgia Institute of Technology Atlanta GA United States Computational Science and Engineering Division College of Computing Georgia Institute of Technology Atlanta GA United States Hewlett Packard StorageWorks Division Colorado Springs CO United States Google Inc Mountain View CA United States

An ad hoc distributed dynamic data-driven simulation is a collection of autonomous online simulations brought together to model an operational system. They offer the potential of increased accuracy, responsiveness, and robustness compared to centralized approaches. They differ from conventional distributed simulations in that they are created bottom-up rather than top-down. They combine concepts from conventional distributed simulations and replicated trials, raising new issues in data management and synchronization. In this article, the ad hoc simulation approach and an optimistic synchronization algorithm are proposed. A prototype coupling in-vehicle transportation simulation is evaluated and shown to yield results comparable to a traditional replicated experiment for the tested scenarios. Experiences applying this concept to a commercial transportation simulator in an emergency scenario are described. © 2009 The Society for Modeling and Simulation International.

关键词： Information management

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Assessment of Gene Annotation Accuracy by Inferring Transcripts from RNA-Seq

Assessment of Gene Annotation Accuracy by Inferring Transcri...

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IEEE International Conference on Bioinformatics and Biomedicine (BIBM)

作者： Jeffrey Martin Wenhan Zhu Nicholas Bergman Mark Borodovsky School of Biology Georgia Institute of Technology Atlanta GA USA Wallace H. Coulter Department of Biomedical Engineering Computational Science and Engineering Division College of Computing Georgia Institute of Technology Atlanta GA USA

Next generation sequencing is quickly changing long standing paradigms of genomics in terms of what is feasible to accomplish within a ldquoresearch life timerdquo and what is supposed to remain beyond limits of reliable experimental analysis. Sequencing and mapping of a prokaryote transcriptome can provide experimental validation for computationally predicted genes annotated in a prokaryotic genome. In this study we use the transcriptome sequencing to assess the accuracy of the public annotation of genes in a genome of important pathogen Bacillus anthracis. We show that the transcriptome data confirm existence of a number of genes missing in the annotation. Also, the transcriptome data indicate that pseudogenes, genes with frameshifts and in frame stop codons, do keep the transcriptional activity (while possessing a coding potential as well) and continue to present a challenge for accurate annotation.

关键词： Bioinformatics Genomics Hidden Markov models Solids Biology computing Biomedical engineering RNA Gene expression Systems biology Laboratories

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Edge effects on quantum thermal transport in graphene nanoribbons: Tight-binding calculations

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Physical Review B 2009年第11期79卷 115401-115401页

作者： Jinghua Lan Jian-Sheng Wang Chee Kwan Gan Sai Kong Chin Institute of High Performance Computing 1 Fusionopolis Way #16-16 Connexis Singapore 138632 Republic of Singapore Department of Physics and Center for Computational Science and Engineering National University of Singapore Singapore 117542 Republic of Singapore

We investigate the quantum thermal transport properties of graphene nanoribbons (GNRs) with natural edges by combining the Naval Research Laboratory tight-binding approach and the phonon nonequilibrium Green’s function method. Thermal transport of GNRs shows substantial dependence on the width due to edge reconstructions. For GNRs with n≥12, where n is the number of atoms along the direction perpendicular to the ribbon axis, the effect of natural edges is negligible and quantized thermal transport is observed. For GNRs with 2

关键词： energy gap graphene Green's function methods phonons thermal conductivity tight-binding calculations

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On the convergence rate of a parallel nonoverlapping domain decomposition method

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science China Mathematics 2008年第8期51卷 1461-1478页

作者： QIN LiZhen SHI ZhongCi XU XueJun Institute of Computational Mathematics and Scientific/Engineering Computing Academy of Mathematics and Systems ScienceBeijing 100190China

In recent years,a nonoverlapping domain decomposition iterative procedure,which is based on using Robin-type boundary conditions as information transmission conditions on the subdomain interfaces,has been developed and *** is known that the convergence rate of this method is 1-O(h),where h is mesh *** this paper,the convergence rate is improved to be 1-O(h1/2 H-1/2)sometime by choosing suitable parameter,where H is the subdomain *** examples are constructed to show that our convergence estimates are sharp,which means that the convergence rate cannot be better than 1-O(h1/2H-1/2)in a certain case no matter how parameter is chosen.

关键词： finite elements nonoverlapping domain decomposition convergence rate geometric optimal 34DK04

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