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This paper is devoted to a numerical simulation of the classical
WKB system arising in geometric optics expansions. It contains the
nonlinear eikonal equation and a linear conservation law whose
coefficient
can be discontinuous. We address the problem of treating it in such a way
superimposed… |
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We are concerned with efficient numerical simulation of the radiative transfer equations. To this end, we follow theWell-Balanced approach's canvas and reformulate the relaxation term as a nonconservative product regularized by steady-state curves while keeping the velocity variable continuous.… |
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In this paper, we consider the problem of estimating the graphs of conditional dependencies between variables (i.e., graphical models) from multiple datasets under Gaussian settings. We present jewel 2.0, which improves our previous method jewel 1.0 by modeling commonality and class-specific… |
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Marine propellers in behind-hull conditions develop, in addition to thrust and torque, in-plane loads that are strictly related to fatigue stress of the propulsive shaft bearings, hull-induced vibrations and the dynamic response of the ship while maneuvering or experiencing wave induced motions. An… |
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A detailed comparison between data from experimental measurements and numerical simulations of Lagrangian velocity structure functions in turbulence is presented. Experimental data, at Reynolds number ranging from R? = 350 to R? = 815, are obtained in a swirling water flow between counter-rotating… |
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Using a recent model for traffic flow on networks, we address a specific traffic regulation problem. Given a crossing with some expected traffic, is it preferable to construct a traffic circle or a light?
We study the two solutions in terms of flow control and compare the performances. |
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We give a simple convexity-based proof of the following fact: the only eigenfunction of the p-Laplacian that does not change sign is the first one. The method of proof covers also more general nonlinear eigenvalue problems. © 2012 Springer Basel. |
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Fluid dynamics in intrinsically curved geometries is encountered in many physical systems in nature, ranging from microscopic bio-membranes all the way up to general relativity at cosmological scales. Despite the diversity of applications, all of these systems share a common feature: the free… |
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The importance of singular integral transforms, coming from their many applications, justifies some interest in their numerical approximation. Here we propose a stable and convergent algorithm to evaluate such transforms on the real line. Numerical examples confirming the theoretical results are… |
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