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Improvements of the methods of radiation fields numerical modeling on the basis of mirror reflection principle

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) 2013年 7971卷 1-16页

作者： Smokty, Oleg I. St. Petersburg Institute of Informatics and Automation Russian Academy of Sciences St. Petersburg Russia

ISBN: (纸本)9783642396366

Fundamental properties of the angular-spatial symmetry of radiation fields in the uniform slab of a finite optical thickness are used for improvement of the numerical methods and algorithms of the classical radiative transfer theory. A new notion of so called photometrical invariants is introduced. The basic boundary-value problem of the radiative transfer theory is reformulated in new terms for the subsequent simplification of algorithms of numerical modeling methods such as spherical harmonics, discrete ordinates, Gauss-Seidel and Case methods. This simplification leads to two-fold decrease of the ranks of linear algebraic equations with simultaneous reduction of numerical modeling intervals connected with angular and spatial variables. © Springer-Verlag Berlin Heidelberg 2013.

关键词： numerical models

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numerical Mathematics and Advanced applications 2011: Proceedings of ENUMATH 2011, the 9th European conference on numerical Mathematics and Advanced applications, Leicester, September 2011 1

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2013年

作者： P. F. Antonietti, L. Beirão da Veiga, M. Verani (auth.), Andrea Cangiani, Ruslan L. Davidchack, Emmanuil Georgoulis, Alexander N. Gorban, Jeremy Levesley, Michael V. Tretyakov (eds.)

ISBN: (数字)9783642331343

ISBN: (纸本)9783642331336;9783642331343

The European conferences on numerical Mathematics and Advanced applications (ENUMATH) are a series of conferences held every two years to provide a forum for discussion of new trends in numerical mathematics and challenging scientific and industrial applications at the highest level of international expertise. ENUMATH 2011 was hosted by the University of Leicester (UK) from the 5th to 9th September 2011. This proceedings volume contains more than 90 papers by speakers of the conference and gives an overview of recent developments in scientific computing, numerical analysis, and practical use of modern numerical techniques and algorithms in various applications. New results on finite element methods, multiscale methods, numerical linear algebra, and finite difference schemes are presented. A range of applications include computational problems from fluid dynamics, materials, image processing, and molecular dynamics.

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Improvements of the methods of Radiation Fields numerical Modeling on the Basis of Mirror Reflection Principle

Improvements of the Methods of Radiation Fields Numerical Mo...

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13th International conference on Computational Science and Its applications (ICCSA)

作者： Smokty, Oleg I. Russian Acad Sci St Petersburg Inst Informat & Automat St Petersburg 196140 Russia

ISBN: (纸本)9783642396403

关键词： mirror refelection principle photometrical invariants boundary-value problem numerical algorithms rank of linear equations system iteration spherical harmonics discrete ordinates Gauss-Seidel and Case methods

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A Novel Unified linear Biased Estimator

A Novel Unified Linear Biased Estimator

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10th IEEE International conference on Control and Automation (IEEE ICCA)

作者： Yue, Yuanlong Zuo, Xin Wang, Lijun CUPB Dept Automat Beijing 102249 Peoples R China

ISBN: (纸本)9781467347082;9781467347075

A novel unified biased estimator based on the linear transform matrix acting on the least-squares estimator (LSE) in canonical form is proposed for coping with multicollinearity problem and its properties are also discussed in this paper. We show that our new biased estimator is superior, in the mean squared error (MSE) sense, to the LSE. Ridge estimator, Liu estimator, etc. are viewed as a subclass of the class of the proposed estimator which is the linear transform of LSE. Finally, a numerical example widely used in the literatures is studies based on Monte Carlo simulation to show the behavior of the different estimators.

关键词： Monte Carlo methods estimation theory least squares approximations matrix algebra mean square error methods transforms

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The finite element method : theory, implementation, and applications /

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2013年

作者： Larson Mats G.

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Delay-dependent robust dissipative filtering of stochastic genetic regulatory networks with time-varying delays

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IET CONTROL theory AND applications 2013年第11期7卷 1520-1528页

作者： Li, Yanjiang Liu, Guo-ping Heilongjiang Univ Sch Math Sci Harbin 150080 Peoples R China Univ Glamorgan Fac AdvancedTechnol Pontypridd CF37 1DL M Glam Wales

This study deals with the problem of delay-dependent dissipative filtering for genetic regulatory networks (GRNs) with norm-bounded parameter uncertainties and time-varying delays. It is assumed that the non-linear function describing the feedback regulation satisfies the sector-bounded condition. Improved delay-dependent stochastic stability and filter design method for stochastic GRNs are obtained by applying the delay fractioning technique, Jensen inequalities and introducing some proper slack matrix variables. The conservatism caused by either model transformation or bounding techniques is reduced. Sufficient conditions of the robust stability and filtering problems are proposed, respectively. The filter, which can guarantee the resulting error system to be asymptotically stable in the mean-square sense and satisfy a prescribed performance level for all delays no larger than a given upper bound, are constructed. A numerical example is provided to demonstrate effectiveness of the proposed results in this study.

关键词： biology delays feedback information filtering matrix algebra mean square error methods stochastic processes time-varying systems delay dependent robust dissipative filtering stochastic genetic regulatory networks time varying delays GRN norm bounded parameter uncertainties nonlinear function feedback regulation sector bounded condition delay dependent stochastic stability filter design method delay fractioning technique Jensen inequalities slack matrix variables bounding techniques robust stability filtering problems error system mean-square sense

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Correcting beliefs in the mean-field and Bethe approximations using linear response

Correcting beliefs in the mean-field and Bethe approximation...

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IEEE International conference on Communications (ICC)

作者： Raymond, Jack Ricci-Tersenghi, Federico Univ Roma La Sapienza Dipartimento Fis Piazzale Aldo Moro 5 I-00185 Rome Italy Ist Nazl Fis Nucl Sez Roma 1 Rome Italy CNR IPCF UOS Roma Rome Italy

ISBN: (纸本)9781467357531

Approximating marginals of a graphical model is one of the fundamental problems in the theory of networks. In a recent paper a method was shown to construct a variational free energy such that the linear response estimates, and maximum entropy estimates (for beliefs) are in agreement, with implications for direct and inverse Ising problems [1]. In this paper we demonstrate an extension of that method, incorporating new information from the response matrix, and we recover the adaptive-TAP equations as the first order approximation [2]. The method is flexible with respect to applications of the cluster variational method, special cases of this method include Naive Mean Field (NMF) and Bethe. We demonstrate that the new framework improves estimation of marginals by orders of magnitude over standard implementations in the weak coupling limit. Beyond the weakly coupled regime we show there is an improvement in a model where the NMF and Bethe approximations are known to be poor for reasons of frustration and short loops.

关键词： free energy inverse problems matrix algebra maximum entropy methods network theory (graphs) variational techniques

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Low-Density Random Matrices for Secret Key Extraction

Low-Density Random Matrices for Secret Key Extraction

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IEEE International Symposium on Information theory (ISIT)

作者： Zhou, Hongchao Chandar, Venkat Wornell, Gregory MIT Elect Res Lab Cambridge MA 02139 USA

ISBN: (纸本)9781479904464

Secret key extraction, the task of extracting a secret key from shared information that is partially known by an eavesdropper, has important applications in cryptography. Motivated by the requirements of high-speed quantum key distribution, we study secret-key extraction methods with simple and efficient hardware implementations, in particular, linear transformations based on low-density random matrices. We show that this method can achieve the information-theoretic upper bound (conditional Shannon entropy) on efficiency for a wide range of key-distribution systems. In addition, we introduce a numerical method that allows us to tightly estimate the quality of the generated secret key in the regime of finite block length, and use this method to demonstrate that low-density random matrices achieve very high performance for secret key extraction.

关键词： cryptography information theory matrix algebra

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numerical performance of discontinuous and stabilized continuous Galerkin methods for convection-diffusion problems

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International conference on numerical methods for Hyperbolic Equations: theory and applications

作者： Antonietti, Paola F. Quarteroni, Alfio MOX Dipartimento di Matemática Politecnico di Milano Italy Switzerland

ISBN: (纸本)9780415621502

We compare the performance of two classes of numerical methods for the approximation of linear steady-state convection-diffusion equations, namely, the Discontinuous Galerkin (DG) method and the continuous Streamline Upwind Petrov-Galerkin (SUPG) method. We present a fair comparison of such schemes considering both diffusion-dominated and convection-dominated regimes, and present numerical results obtained on a series of test problems including smooth solutions, and test cases with sharp internal and boundary layers. © 2013 Taylor & Francis Group, London.

关键词： numerical methods

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SIMULTECH 2013 - Proceedings of the 3rd International conference on Simulation and Modeling Methodologies, Technologies and applications

SIMULTECH 2013 - Proceedings of the 3rd International Confer...

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3rd International conference on Simulation and Modeling Methodologies, Technologies and applications, SIMULTECH 2013

ISBN: (纸本)9789898565693

The proceedings contain 94 papers. The topics discussed include: simulation of real-time multiprocessor scheduling with overheads;combining supervisory control, object-oriented Petri-nets and 3D simulation for hybrid simulation systems using a flexible meta data approach;assisting data warehousing populating processes design through modelling using coloured Petri nets;multi-objective optimization and stochastic analysis in focused ultrasonic therapy simulation;implementation of simplicial complexes for CPA functions in C++11 using the Armadillo linear algebra library;semantic integration for model-based life science applications;inter-module communications for rear-end collision avoidance messaging in an IEEE 802.11p interface;spectral solutions of a combined multifluid-population balance model describing bubbly flow - a numerical study of weighted residual methods;and towards an EDSL to enhance good modelling practice for non-linear stochastic discrete dynamical models - application to plant growth models.

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