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International Journal of Computer Mathematics Volume 99, 2022 - Issue 1: Geometric Numerical Integration, Twenty-Five Years Later

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Lie group integrators for mechanical systems

Elena CelledoniDepartment of Mathematical Sciences, NTNU, Trondheim, NorwayView further author information

Ergys ÇokajDepartment of Mathematical Sciences, NTNU, Trondheim, NorwayView further author information

Andrea LeoneDepartment of Mathematical Sciences, NTNU, Trondheim, NorwayView further author information

Davide MurariDepartment of Mathematical Sciences, NTNU, Trondheim, NorwayView further author information

Brynjulf OwrenDepartment of Mathematical Sciences, NTNU, Trondheim, NorwayCorrespondence[email protected]
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Pages 58-88 | Received 28 Feb 2021, Accepted 31 Jul 2021, Published online: 23 Aug 2021

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https://doi.org/10.1080/00207160.2021.1966772
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Citations (9)

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Articles from other publishers (9)

Stefan Holzinger, Martin Arnold & Johannes Gerstmayr. (2024) Evaluation and implementation of Lie group integration methods for rigid multibody systems. Multibody System Dynamics.
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Simone Fiori. (2024) Coordinate-free Lie-group-based modeling and simulation of a submersible vehicle. AIMS Mathematics 9:4, pages 10157-10184.
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Rohan Prasad, Satyam Panda & Budhaditya Hazra. (2023) A new symplectic integrator for stochastic Hamiltonian systems on manifolds. Probabilistic Engineering Mechanics 74, pages 103526.
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Satyam Panda, Ankush Gogoi, Budhaditya Hazra & Vikram Pakrashi. (2023) Geometry preserving Ito-Taylor formulation for stochastic hamiltonian dynamics on manifolds. Applied Mathematical Modelling 119, pages 626-647.
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Satyam Panda & Budhaditya Hazra. (2023) Stochastic dynamics on manifolds based on novel geometry preserving Ito–Taylor scheme. Journal of Sound and Vibration 550, pages 117599.
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Valentin Duruisseaux & Melvin Leok. (2023) Time-adaptive Lagrangian variational integrators for accelerated optimization. Journal of Geometric Mechanics 15:1, pages 224-255.
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Hongchen Li & Ye Ding. (2022) A Hamiltonian Formulation on Manifolds for Dynamic Modeling of Constrained Mechanisms and Energy-Preserving Integration. Journal of Applied Mechanics 89:12.
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Elena Celledoni, Ergys Çokaj, Andrea Leone, Davide Murari & Brynjulf Owren. 2022. Progress in Industrial Mathematics at ECMI 2021. Progress in Industrial Mathematics at ECMI 2021 297 304 .

Andreas Müller. (2021) Review of the exponential and Cayley map on SE(3) as relevant for Lie group integration of the generalized Poisson equation and flexible multibody systems. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 477:2253, pages 20210303.
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