A new class of \(G ( \epsilon )\)-symplectic general linear methods

DOI10.1016/j.apnum.2022.08.010OpenAlexW4293163090WikidataQ114207988 ScholiaQ114207988MaRDI QIDQ2085675

Michał Braś, Giuseppe Izzo, Zdzisław Jackiewicz

Publication date: 18 October 2022

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2022.08.010

zbMATH Keywords

order conditionsgeneral linear methodsconstruction of methods\(G ( \epsilon )\)-symplecticness

Mathematics Subject Classification ID

Numerical methods for ordinary differential equations (65Lxx) Numerical problems in dynamical systems (65Pxx) General theory for ordinary differential equations (34Axx)

Cites Work

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• Order conditions for general linear methods
• Order conditions for G-symplectic methods
• Runge-Kutta schemes for Hamiltonian systems
• Diagonally-implicit multi-stage integration methods
• Composite symmetric general linear methods (COSY-GLMs) for the long-time integration of reversible Hamiltonian systems
• Starting procedures for general linear methods
• Construction of \(G\)- or \(G (\epsilon)\)-symplectic general linear methods
• A G-symplectic method with order 6
• Simulating Hamiltonian Dynamics
• The Control of Parasitism in $G$-symplectic Methods
• B-Series
• Numerical Methods for Ordinary Differential Equations

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