Variational time discretization of geodesic calculus
نویسندگان
چکیده
منابع مشابه
Variational Time Discretization of Geodesic Calculus
We analyze a variational time discretization of geodesic calculus on finiteand certain classes of infinite-dimensional Riemannian manifolds. We investigate the fundamental properties of discrete geodesics, the associated discrete logarithm, discrete exponential maps, and discrete parallel transport, and we prove convergence to their continuous counterparts. The presented analysis is based on th...
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ژورنال
عنوان ژورنال: IMA Journal of Numerical Analysis
سال: 2014
ISSN: 0272-4979,1464-3642
DOI: 10.1093/imanum/dru027