Integrators on homogeneous spaces: isotropy choice and connections

DOI10.1007/s10208-015-9267-7zbMath1351.22011arXiv1402.6981OpenAlexW3098745588MaRDI QIDQ330098

Olivier Verdier, Hans Z. Munthe-Kaas

Publication date: 24 October 2016

Published in: Foundations of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.6981

zbMATH Keywords

homogeneous spacessymmetric spacesStiefel manifoldprojective spaceGrassmannianpolar decompositionLax pairconnectionRunge-Kuttaskeletonconstant rank matricesLie group integrators

Mathematics Subject Classification ID

Homogeneous spaces (22F30) Differential geometry of homogeneous manifolds (53C30) Grassmannians, Schubert varieties, flag manifolds (14M15) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Approximation methods and numerical treatment of dynamical systems (37Mxx) Numerical problems in dynamical systems (65Pxx)

Related Items (4)

A Numerical Algorithm for $C^2$-Splines on Symmetric Spaces ⋮ Numerical accuracy of ladder schemes for parallel transport on manifolds ⋮ High-Order Retractions on Matrix Manifolds Using Projected Polynomials ⋮ High-order integrators for Lagrangian systems on homogeneous spaces via nonholonomic mechanics

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