Symmetric spaces and Lie triple systems in numerical analysis of differential equations

DOI10.1007/s10543-014-0473-5zbMath1291.65254arXiv1302.3387OpenAlexW1977988593WikidataQ59318211 ScholiaQ59318211MaRDI QIDQ2450895

Antonella Zanna, Hans Z. Munthe-Kaas, Gilles Reinout Willem Quispel

Publication date: 23 May 2014

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.3387

zbMATH Keywords

differential equationsymmetric spacegeometric integrationThue-Morse sequenceLie triple systemnumerical analysisScovel projection

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Invariance and symmetry properties for PDEs on manifolds (58J70) Differential geometry of symmetric spaces (53C35) Numerical methods for ordinary differential equations (65L99)

Related Items (8)

Introduction to Riemannian Geometry and Geometric Statistics: From Basic Theory to Implementation with Geomstats ⋮ Interpolation on symmetric spaces via the generalized polar decomposition ⋮ Geometric integration on symmetric spaces ⋮ Cohomologies and deformations of O-operators on Lie triple systems ⋮ An introduction to Lie group integrators - basics, new developments and applications ⋮ Invariant Connections, Lie Algebra Actions, and Foundations of Numerical Integration on Manifolds ⋮ Dynamical Systems with a Codimension-One Invariant Manifold: The Unfoldings and Its Bifurcations ⋮ Variational discretizations of gauge field theories using group-equivariant interpolation

Uses Software

• mftoolbox

Cites Work

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