Titlebook: Active Particles, Volume 1; Advances in Theory, Nicola Bellomo,Pierre Degond,Eitan Tadmor Book 2017 Springer International Publishing AG 2

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Chu Min Li,Felip Manyà,Joan Ramon Solerdestrian movements. We start by constructing the particle scheme for the first-order Lighthill–Whitham–Richards (LWR) model for traffic flow. The approximation is performed by a set of ODEs following the position of discretized vehicles seen as moving particles. The convergence of the scheme in the

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https://doi.org/10.1007/978-3-319-49996-3Mathematical Kinetic Theory of Active Particles; Nonequilibrium Statistical Mechanics; Biological Netw

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Subgoal alternation in model elimination,ality and of optimality conditions. The convex structure of the problem also allows for efficient numerical treatment, based on augmented Lagrangian algorithms, and some new simulations are shown at the end of the paper.

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Lecture Notes in Computer Sciencetions expressed only in terms of parameters and initial data. After Cucker–Smale’s seminal works in [., .], their model has received lots of attention from applied math and control engineering communities. We discuss the state of the art for the flocking theorems to Cucker–Smale-type flocking models.

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2164-3679 pective areas.Numerous applications of active particles coveThis volume collects ten surveys on the modeling, simulation, and applications of active particles using methods ranging from mathematical kinetic theory to nonequilibrium statistical mechanics.  The contributing authors are leading experts