Interpolation in Lie Groups

DOI10.1137/S0036142998338861zbMath0944.65129WikidataQ115246829 ScholiaQ115246829MaRDI QIDQ4943621

Arne Marthinsen

Publication date: 19 March 2000

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

zbMATH Keywords

Lie groupsgeometric integrationnumerical integration of ODEs on manifolds

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Interpolation in approximation theory (41A05) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Local Lie groups (22E05)

Related Items (8)

Interpolation on symmetric spaces via the generalized polar decomposition ⋮ Rolling Maps and Nonlinear Data ⋮ Galerkin Lie-group variational integrators based on unit quaternion interpolation ⋮ Scattered manifold-valued data approximation ⋮ Geodesic finite elements for Cosserat rods ⋮ Construction of spline curves on smooth manifolds by action of Lie groups ⋮ Interpolation in dynamic equations on time scales ⋮ Multistep methods integrating ordinary differential equations on manifolds

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