Retraction maps: a seed of geometric integrators
DOI10.1007/s10208-022-09571-xzbMath1528.37070arXiv2106.00607MaRDI QIDQ6047303
David Martín de Diego, María Barbero-Liñán
Publication date: 7 September 2023
Published in: Foundations of Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.00607
symplectic methodscanonical transformationstangent and cotangent bundlesdiscrete variational calculusretraction maps
Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Curves in Euclidean and related spaces (53A04) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Canonical transformations in symplectic and contact geometry (53D22) Symplectic and canonical mappings (37J11)
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