Energy-preserving methods on Riemannian manifolds

DOI10.1090/mcom/3470zbMath1437.37109arXiv1805.07578OpenAlexW2964268565WikidataQ115290998 ScholiaQ115290998MaRDI QIDQ5207438

Sølve Eidnes, Brynjulf Owren, Elena Celledoni, Torbjørn Ringholm

Publication date: 27 December 2019

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.07578

zbMATH Keywords

Riemannian manifoldsgeometric integrationnumerical analysisdiscrete gradients

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Numerical solutions to abstract evolution equations (65J08)

Related Items (6)

Computing the Riemannian Logarithm on the Stiefel Manifold: Metrics, Methods, and Performance ⋮ Retraction maps: a seed of geometric integrators ⋮ B-stability of numerical integrators on Riemannian manifolds ⋮ Convergence of Lie group integrators ⋮ On the energy stable approximation of Hamiltonian and gradient systems ⋮ Order theory for discrete gradient methods

Uses Software

• HLLE

Cites Work

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