Generalized polar coordinates on Lie groups and numerical integrators

DOI10.1007/s00211-009-0255-1zbMath1185.22003OpenAlexW2039185476WikidataQ115388702 ScholiaQ115388702MaRDI QIDQ849057

Antonella Zanna, Stein Krogstad, Hans Z. Munthe-Kaas

Publication date: 24 February 2010

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-009-0255-1

zbMATH Keywords

Lie algebraLie groupordinary differential equationRunge-Kutta methodlocal coordinatestangent mapsalgorithms for matrix groupscoordinate mapsgeneralized polar coordinatesinverse tangent mapsnumerical Lie group integrator

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) General properties and structure of real Lie groups (22E15) Software, source code, etc. for problems pertaining to topological groups (22-04)

Related Items

Symplectic methods for the approximation of the exponential map and the Newton iteration on Riemannian submanifolds ⋮ Symmetric spaces and Lie triple systems in numerical analysis of differential equations ⋮ Geometric Euler--Maruyama Schemes for Stochastic Differential Equations in SO(n) and SE(n) ⋮ Topics in structure-preserving discretization

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