Titlebook: Innovative Algorithms and Analysis; Laurent Gosse,Roberto Natalini Book 2017 Springer International Publishing AG 2017 Numerial analysis o

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2281-518X for hyperbolic systems and 2D drift-diffusion equations wit.This volume gathers contributions reflecting topics presented during an INDAM workshop held in Rome in May 2016. The event brought together many prominent researchers in both Mathematical Analysis and Numerical Computing, the goal being to

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A Nonlocal Version of Wavefront Tracking Motivated by Kuramoto-Sakaguchi Equation,ineate this method for a nonlocal equation namely “.” arising from the kinetic modeling of collective motion of large ensemble of Kuramoto oscillators, for which BV-weak solutions and their large time behavior are investigated in Amadori et al. (J Differ Equ ., 978–1022, 2017).

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Filtered Gradient Algorithms for Inverse Design Problems of One-Dimensional Burgers Equation,ion, a filtering step of the backward adjoint solution is inserted, mostly relying on scale-limited (wavelet) subspaces. Numerical illustrations, along with profiles similar to F-functions, are presented.

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Analysis and Simulation of Nonlinear and Nonlocal Transport Equations,this approach, we show the existence of Filippov characteristics allowing to define solutions of the aggregation initial value problem as a pushforward measure. Then numerical analysis of an upwind type scheme is proposed allowing to recover the dynamics of aggregates beyond the blowup time.

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