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25
Synchronization and linearity: an algebra for discrete event systems
, 2001
"... The first edition of this book was published in 1992 by Wiley (ISBN 0 471 93609 X). Since this book is now out of print, and to answer the request of several colleagues, the authors have decided to make it available freely on the Web, while retaining the copyright, for the benefit of the scientific ..."
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Cited by 250 (10 self)
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The first edition of this book was published in 1992 by Wiley (ISBN 0 471 93609 X). Since this book is now out of print, and to answer the request of several colleagues, the authors have decided to make it available freely on the Web, while retaining the copyright, for the benefit of the scientific community. Copyright Statement This electronic document is in PDF format. One needs Acrobat Reader (available freely for most platforms from the Adobe web site) to benefit from the full interactive machinery: using the package hyperref by Sebastian Rahtz, the table of contents and all LATEX crossreferences are automatically converted into clickable hyperlinks, bookmarks are generated automatically, etc.. So, do not hesitate to click on references to equation or section numbers, on items of thetableofcontents and of the index, etc.. One may freely use and print this document for one’s own purpose or even distribute it freely, but not commercially, provided it is distributed in its entirety and without modifications, including this preface and copyright statement. Any use of thecontents should be acknowledged according to the standard scientific practice. The
Natural Demodulation of TwoDimensional Fringe Patterns. II. Stationary Phase Analysis of the Spiral Phase Quadrature Transform
 J. Opt. Soc. Am. A
, 2001
"... transform. ..."
Integral Equation Methods And Numerical Solutions Of Crack And Inclusion Problems In Planar Elastostatics
 SIAM J. Appl. Math
, 1998
"... We present algorithms for the crack and inclusion problem in planar linear elastostatics. The algorithms are based on new integral equations. For the pure crack problem the integral equations are of Fredholm's second kind. Our algorithms show great stability and allow for solutions to problems more ..."
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Cited by 7 (5 self)
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We present algorithms for the crack and inclusion problem in planar linear elastostatics. The algorithms are based on new integral equations. For the pure crack problem the integral equations are of Fredholm's second kind. Our algorithms show great stability and allow for solutions to problems more complex than previously has been possible. Our results are orders of magnitudes more accurate than those of previous investigators, which rely on integral equations of Fredholm's first kind. Key words. Cracks, composite materials, linear elasticity, integral equations of Fredholm type, e#ective elastic properties, stress intensity factors, numerical methods AMS subject classifications. 73C02, 31A10, 45E05, 65R20 1.
Introduction to Engineering Design: http://www.ecsel.psu.edu/edg100
, 2006
"... Abstract. We evaluate the performance of a class of twohop relay protocols for mobile ad hoc networks. The interest is on the multicopy twohop relay (MTR) protocol, where the source may generate multiple copies of a packet and use relay nodes to deliver the packet (or a copy) to its destination, a ..."
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Cited by 5 (1 self)
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Abstract. We evaluate the performance of a class of twohop relay protocols for mobile ad hoc networks. The interest is on the multicopy twohop relay (MTR) protocol, where the source may generate multiple copies of a packet and use relay nodes to deliver the packet (or a copy) to its destination, and on the twohop relay protocol with erasure coding. Performance metrics of interest are the time to deliver a single packet to its destination, the number of copies of the packet at delivery instant, and the total number of copies that the source generates. The packet copies at relay nodes have limited lifetime (timetolive TTL). Via a Markovian analysis, the three performance metrics of the MTR protocol are obtained in closedfrom in the case where the number of the copies in the network is limited. Also, we develop an approximation analysis in the case where the intermeeting times between nodes are arbitrarily distributed and the TTLs of the copies are constant and all equal. In particular, we show that exponential intermeeting times yield stochastically smaller delivery delays than hyperexponential intermeeting times, and that exponential TTLs yield stochastically larger delivery delays than constant TTLs. Finally, we characterize the delivery delay and the number of transmissions in the twohop relay protocol with erasure coding and compare this scheme with the multicopy scheme. Keywords: Mobile ad hoc network, Twohop relay protocol, Erasure coding, Mobility
Improved Integral Formulations for Fast 3D MethodofMoments Solvers
 in Proceedings of EPEP
, 2001
"... This paper introduces a new integral formulation to calculate charge densities of conductor systems that may include multiple dielectric materials. We show that the conditioning of our formulation is much better than that of the standard equivalent charge formulation. When combined with a nonstandar ..."
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Cited by 4 (2 self)
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This paper introduces a new integral formulation to calculate charge densities of conductor systems that may include multiple dielectric materials. We show that the conditioning of our formulation is much better than that of the standard equivalent charge formulation. When combined with a nonstandard discretization scheme, results can be obtained with higher accuracy at reduced numerical cost. We present a multipole accelerated implementation of our formulation. The results demonstrate that the new approach can cut the iteration count by a factor between two and four. Moreover, we will demonstrate that in the presence of sparsification errors and multiple dielectric materials secondkind formulations are much more accurate than the standard firstkind formulations.
An integral equation approach to the incompressible NavierStokes equations in two dimensions
 N1:318336. SIMULATIONS OF PARTICLE DYNAMICS IN MR FLUIDS 19
, 1999
"... We present a collection of methods for solving the incompressible Navier–Stokes equations in the plane that are based on a pure stream function formulation. The advantages of this approach are twofold: first, the velocity is automatically divergence free, and second, complicated (nonlocal) boundary ..."
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Cited by 3 (0 self)
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We present a collection of methods for solving the incompressible Navier–Stokes equations in the plane that are based on a pure stream function formulation. The advantages of this approach are twofold: first, the velocity is automatically divergence free, and second, complicated (nonlocal) boundary conditions for the vorticity are avoided. The disadvantage is that the solution of a nonlinear fourthorder partial differential equation is required. By recasting this partial differential equation as an integral equation, we avoid the illconditioning which hampers finite difference and finite element methods in this environment. By using fast algorithms for the evaluation of volume integrals, we are able to solve the equations using O(M) orO(Mlog M) operations, where M is the number of points in the discretization of the domain.
On the Numerical Evaluation of Stress Intensity Factors for an Interface Crack of a General Shape
, 1999
"... A numerical algorithm is presented for the problem of a crack along the interface of an elastic inclusion embedded in an elastic plane subjected to uniform stress at infinity. The algorithm is based on a Fredholm integral equation of the second kind and allows for fast and accurate solutions to geom ..."
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Cited by 2 (1 self)
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A numerical algorithm is presented for the problem of a crack along the interface of an elastic inclusion embedded in an elastic plane subjected to uniform stress at infinity. The algorithm is based on a Fredholm integral equation of the second kind and allows for fast and accurate solutions to geometries of great complexity. In an example crack opening displacement and stress intensity factors are computed for a crack in the interface of an inclusion with nineteen protruding arms. 1
SecondKind Integral Formulations of the Capacitance Problem
 Adv. Comput. Math
, 1998
"... The standard approach to calculating electrostatic forces and capacitances involves solving a surface integral equation of the first kind. However, discretizations of this problem lead to illconditioned linear systems and secondkind integral equations usually solve for the dipole density, which ca ..."
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Cited by 2 (1 self)
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The standard approach to calculating electrostatic forces and capacitances involves solving a surface integral equation of the first kind. However, discretizations of this problem lead to illconditioned linear systems and secondkind integral equations usually solve for the dipole density, which can not be directly related to electrostatic forces. This paper describes a secondkind equation for the monopole or charge density and investigates different discretization schemes for this integral formulation. Numerical experiments, using multipole accelerated matrixvector multiplications, demonstrate the efficiency and accuracy of the new approach.
Influence of surfactant on rounded and pointed bubbles in 2D Stokes flow
"... A simple plane #ow model is used to examine the e#ects of surfactant on bubbles evolving in slow viscous #ow. General properties of the timedependentevolution as well as exact solutions for the steady state shape of the interface and distribution of surfactant are obtained for a rather general c ..."
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Cited by 2 (0 self)
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A simple plane #ow model is used to examine the e#ects of surfactant on bubbles evolving in slow viscous #ow. General properties of the timedependentevolution as well as exact solutions for the steady state shape of the interface and distribution of surfactant are obtained for a rather general class of far#eld extensional #ows. The steady solutions include a class for which `stagnant caps' of surfactant partially coat the bubble surface. The governing equations for these stagnant cap bubbles feature boundary data which switches across free boundary points representing the cap edges. These points are shown to correspond to singularities in the surfactant distribution, the location and strength of which are determined as part of the solution. Our steady bubble solutions comprise shapes with rounded as well as pointed ends, depending on the far#eld #ow conditions. Unlike the clean #ow problem, we #nd in all cases an upper bound on the strain rate for which steady solutions ...