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Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Computational model of 2D and 3D trajectories based on generalization of Zermelo problem in navigational Spatial Information Systems

2013/09/N/ST10/02537

Keywords:

navigation Zermelo problem trajectory GIS SIS ECDIS passage planning route optimization geodesic

Descriptors:

  • ST10_12: Geodesy, cartography, geographic information systems, Earth observations from space and by remote sensing
  • ST1_18: Control theory and optimisation
  • ST1_17: Applied mathematics

Panel:

ST10 - Earth sciences: Earth system science, atmospheric sciences, climatology, geochemistry, geodesy, geoecology, geophysics, physical geography, geoinformatics, planetary geology, pedology, mining, chemical and physical oceanology, environmental protection

Host institution :

Uniwersytet Jagielloński, Wydział Matematyki i Informatyki

woj. małopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

Piotr Kopacz 

Number of co-investigators in the project: 3

Call: PRELUDIUM 5 - announced on 2013-03-15

Amount awarded: 100 000 PLN

Project start date (Y-m-d): 2015-02-18

Project end date (Y-m-d): 2017-02-17

Project duration:: 24 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Odbiornik GPS (z komórkami map elektronicznych). (2 293 PLN)
  2. Komputer (hardware, software - w tym programy do obliczeń symbolicznych i numerycznych) (5 000 PLN)

Information in the final report

  • Publication in academic press/journals (6)
  1. A note on time-optimal paths on perturbed spheroid
    Authors:
    Piotr Kopacz
    Academic press:
    J. Geom. Mech. (rok: 2018, tom: 10, strony: 139-172), Wydawca: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/jgm.2018005 - link to the publication
  2. Application of planar Randers geodesics with river-type perturbation in search models
    Authors:
    Piotr Kopacz
    Academic press:
    Appl. Math. Model. (rok: 2017, tom: 49, strony: 531--553), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.apm.2017.05.007 - link to the publication
  3. Generalized Zermelo navigation on Hermitian manifolds under mild wind
    Authors:
    Nicoleta Aldea, Piotr Kopacz
    Academic press:
    Diff. Geom. Appl. (rok: 2017, tom: 54PA, strony: 325-343), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.difgeo.2017.05.007 - link to the publication
  4. A note on generalization of Zermelo navigation problem on Riemannian manifolds with strong perturbation
    Authors:
    Piotr Kopacz
    Academic press:
    An. Sti. U. Ovid. Co.-Mat. (rok: 2017, tom: 25, strony: 107-123), Wydawca: Faculty of Mathematics and Computer Science, Ovidius University, Constanta, Romania
    Status:
    Published
    DOI:
    10.1515/auom-2017-0039 - link to the publication
  5. Generalized Zermelo navigation on Hermitian manifolds with a critical wind
    Authors:
    Nicoleta Aldea, Piotr Kopacz
    Academic press:
    Results Math. (rok: 2017, tom: 72, strony: 2165--2180), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00025-017-0757-6 - link to the publication
  6. On generalization of Zermelo navigation problem on Riemannian manifolds
    Authors:
    Piotr Kopacz
    Academic press:
    Int. J. Geom. Methods Mod. Phys. (rok: 2019, ), Wydawca: World Scientific
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication

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