finsler manifolds 1geodesic computation 1numerical algorithms 1quadratic convergence 1riemannian manifolds 1
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math.DG2026
GEORCE: A Fast New Control Algorithm for Computing Geodesics
Frederik Möbius Rygaard, Søren Hauberg
The paper presents GEORCE, a fast algorithm that computes geodesics on Riemannian and Finsler manifolds by reformulating the problem as a discrete control task, and demonstrates gl…
math.DG2025
Time-dependent Zermelo navigation with tacking
Steen Markvorsen, Enrique Pendás-Recondo, Frederik Möbius Rygaard
We address the time- and position-dependent Zermelo navigation problem within the framework of Lorentz-Finsler geometry. Since the initial work of E. Zermelo, the task is to find t…