Category Archives: contributed article

Linear multistep methods for optimal control problems and applications to hyperbolic relaxation systems

with Michael Herty, Lorenzo Pareschi (23/07/2018, arxiv.1807.08547) We are interested in high-order linear multistep schemes for time discretization of adjoint equations arising within optimal control problems. First we consider optimal control problems for ordinary differential equations and show loss of accuracy … Continue reading

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Recent advances in opinion modeling: control and social influence

Giacomo Albi, Lorenzo Pareschi, Giuseppe Toscani, Mattia Zanella (01/07/2016, arxiv.org/abs/1607.05853 to appear in  springer.com/series/4960) We survey some recent developments on the mathematical modeling of opinion dynamics. After an introduction on opinion modeling through interacting multi-agent systems described by partial differential … Continue reading

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Discrete and Continuum Modeling of Biological Network Formation

Giacomo Albi, Martin Burger, Jan Haskovec, Peter Markowich and Matthias Schlottbom (01/06/2016  to appear in  springer.com/series/4960 ) We present an overview of recent analytical and numerical results for the elliptic parabolic system of partial differential equations proposed by Hu and Cai, … Continue reading

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