On algebraic structures of numerical integration on vector spaces and manifolds

zbMath1351.65049arXiv1112.4465MaRDI QIDQ2825653

Hans Z. Munthe-Kaas, Alexander Lundervold

Publication date: 13 October 2016

Full work available at URL: https://arxiv.org/abs/1112.4465

zbMATH Keywords

geometric integrationbackward error analysispost-Lie algebrastructure preserving algorithmsD-algebracomposition of integration methodsntegration algorithms on manifoldsnumerical flows on vector spacestime-integration algorithms

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (4)

Lie group integrators for mechanical systems ⋮ Post-Lie algebras and factorization theorems ⋮ The Magnus expansion, trees and Knuth's rotation correspondence ⋮ Variable step size commutator free Lie group integrators

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