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Zbl 0845.53050
Postolache, Mihai
Computational methods in Lagrange geometry.
(English)
[A] Antonelli, P. L. (ed.) et al., Lagrange and Finsler geometry: applications to physics and biology. Proceedings of a conference. Dordrecht: Kluwer Academic Publishers. Fundam. Theor. Phys. 76, 163-176 (1996). ISBN 0-7923-3873-1/hbk

Some computational methods for the explicit form of the differential equations of $v$-paths in a two-dimensional Finsler space with Antonelli's metric are presented. The computer generated figures are produced using a method given by the author.
[P.Stavre (Craiova)]
MSC 2000:
*53C60 Finsler spaces and generalizations (global)
53-04 Machine computation, programs (differential geometry)
65L06 Multistep, Runge-Kutta, and extrapolation methods

Keywords: Lagrange geometry; computational methods; differential equations of $v$-paths; two-dimensional Finsler space

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Highlights
Scientific prize winners of the ICM 2010
Overhang
Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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