Geodesic
On discretization of parabolic coordinates
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 1159-1169.

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper we consider a problem of construction of discrete analogues of orthogonal curvilinear coordinate systems in the Euclidean space. In particular we find algebraic-geometric spectral data for discrete analogues of the parabolic coordinate system and the spiral coordinate system.
Keywords: discrete integrability, Baker–Akhiezer function, Darboux–Egoroff lattice, parabolic coordinate system, spiral coordinate system. 
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E. I. Shamaev. On discretization of parabolic coordinates. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 1159-1169. http://geodesic.mathdoc.fr/item/SEMR_2016_13_a55/

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