A parallel iterative method for navigation problems

D. Martín de Diego, S. Ferraro, R. T. Sato Martin de Almagro

In this talk we will introduce a parallelization strategy for some navigation problems that leverages the capabilities of multicore CPUs and GPUs (graphics cards). In particular, we design an iterative method for discrete variational methods appropriate for boundary value problems and its convergence properties. We apply this method to the classical Zermelo’s navigation problem, a time optimal control problem where the trajectories are affected by a drift vector field (time-dependent wind or water currents) and a fuel-optimal navigation problem. We show that our methods quickly give us a set of local optimal trajectories fixed initial and final conditions.

Keywords: Discrete variational calculus, optimization, navigation problems

Scheduled

RSME-SEIO Invited Session. Mathematical research applied to the sustainability of the fishing industry and maritime transport
June 8, 2022  4:00 PM
A11

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  • 6/8/22
    Visit Alhambra

    Tomorrow, Thursday, we will visit the Alhambra. 1. At 7:00 p.m., buses will start leaving from the door of the Hotel Granada Center (in front of the door of the Faculty of Sciences) 2. Upon arrival, groups with guides will be organized. 3. There will be groups in English language. These groups will wait at the destination until the arrival of all buses. 4. After the visit to the Alhambra we will walk to the Carmen de los Mártires to have a cocktail. 5. On the way back, we can go back by bus, which will leave from the same place where they left us at the Alhambra. 6. Although the way to the Alhambra by bus seems long, it really is close to the city. We invite you, whoever wishes, to go down for a pleasant walk. 7. Do not forget to take your Alhambra ticket and your identity card or passport. The document must be the same whose number matches the ticket number you have.

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    Gala Dinner

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  • 5/23/22
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