Computational model of 2D and 3D trajectories based on generalization of Zermelo problem in navigational Spatial Information Systems
2013/09/N/ST10/02537
Keywords
Descriptors
- ST10_12: Geodezja, kartografia, systemy informacji geograficznej, teledetekcja
- ST1_18: Zastosowania matematyki w innych naukach
- ST1_17: Teoria sterowania i optymalizacja
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
Voivodeship: małopolskie
Principal investigator (from the host institution)
Number of co-investigators in the project: 3
Call
PRELUDIUM 5 – announced on 2013-03-15
- Amount awarded
- 100 000 PLN
- Project start date
- 2015-02-18
- Project end date
- 2017-02-17
- Project duration
- 24 months (the same as in the proposal)
- Project status
- Project settled
Equipment purchased [PL]
- Komputer (hardware, software - w tym programy do obliczeń symbolicznych i numerycznych). Cost: 5 000 PLN
- Odbiornik GPS (z komórkami map elektronicznych).. Cost: 2 293 PLN
Information in the final report
Publication in academic press/journals (6)
-
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. (year: 2017, volume: 25, pages: 107-123), Publisher: Faculty of Mathematics and Computer Science, Ovidius University, Constanta, Romania
- Status:
- Published
- DOI:
- 10.1515/auom-2017-0039 – link to the publication
-
Generalized Zermelo navigation on Hermitian manifolds under mild wind
- Authors:
- Nicoleta Aldea, Piotr Kopacz
- Academic press:
- Diff. Geom. Appl. (year: 2017, volume: 54PA, pages: 325-343), Publisher: Elsevier
- Status:
- Published
- DOI:
- 10.1016/j.difgeo.2017.05.007 – link to the publication
-
Generalized Zermelo navigation on Hermitian manifolds with a critical wind
- Authors:
- Nicoleta Aldea, Piotr Kopacz
- Academic press:
- Results Math. (year: 2017, volume: 72, pages: 2165--2180), Publisher: Springer
- Status:
- Published
- DOI:
- 10.1007/s00025-017-0757-6 – link to the publication
-
A note on time-optimal paths on perturbed spheroid
- Authors:
- Piotr Kopacz
- Academic press:
- J. Geom. Mech. (year: 2018, volume: 10, pages: 139-172), Publisher: American Institute of Mathematical Sciences
- Status:
- Published
- DOI:
- 10.3934/jgm.2018005 – link to the publication
-
Application of planar Randers geodesics with river-type perturbation in search models
- Authors:
- Piotr Kopacz
- Academic press:
- Appl. Math. Model. (year: 2017, volume: 49, pages: 531--553), Publisher: Elsevier
- Status:
- Published
- DOI:
- 10.1016/j.apm.2017.05.007 – link to the publication
-
On generalization of Zermelo navigation problem on Riemannian manifolds
- Authors:
- Piotr Kopacz
- Status:
- Accepted for publication