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We introduce a numerical scheme to approximate a quasilinear hyperbolic system which models the movement of cells under the influence of chemotaxis. Since we expect to find solutions which contain vacuum parts, we propose an upwinding scheme which properly handles the presence of vacuum and which… |
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: In this article we present the implementation of an environment supporting Levy's optimal reduction for the X-calculus on parallel (or distributed) computing systems. In a similar approach to Lamping's, we base our work on a graph reduction technique, known as directed virtual reduction, which is… |
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The linear-order effects of radiation-reaction on the classical scattering of two point masses, in general relativity, are derived by a variation-of-constants method. Explicit expressions for the radiation-reaction contributions to the changes of 4-momentum during scattering are given to linear… |
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PDE models for network flows are used in a number of different applications, including modeling of water channel networks. While the theory and first-order numerics are well developed, there is a lack of high-order schemes. We propose a Runge-Kutta discontinu- ous Galerkin method as an efficient,… |
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In this paper we study a model for traffic flow on networks based on a hyperbolic system of conservation laws with discontinuous flux. Each equation describes the density evolution of vehicles having a common path along the network. In this formulation the junctions disappear since each path is… |
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We consider low-energy configurations for the Heitmann-Radin sticky discs functional, in the limit of diverging number of discs. More precisely, we renormalize the Heitmann-Radin potential by subtracting the minimal energy per particle, i.e. the so-called kissing number. For configurations whose… |
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A new algorithm for the solution of free surface flows with large front deformation and fragmentation is presented. The algorithm is obtained by coupling a classical Finite Volume (FV) approach, that discretizes the Navier-Stokes equations on a block structured Eulerian grid, with an approach based… |
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The motion of a test particle in the gravitational field of a non-spherical source endowed
with both mass and mass quadrupole moment is investigated when a test
radiation field is also present. The background is described by the Erez-Rosen solution,
which is a static spacetime belonging to the Weyl… |
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Background: The optimal stage for initiating antiretroviral therapies in HIV-1 bearing patients is
still a matter of debate.
Methods: We present computer simulations of HIV-1 infection aimed at identifying the pro et
contra of immediate as compared to deferred Highly Active Antiretroviral Therapy (… |
