A technique to improve the error propagation when integrating relative equilibria

DOI10.1023/B:BITN.0000039391.19365.56zbMath1071.65173OpenAlexW1984046815MaRDI QIDQ1770934

A. Durán, Begoña Cano

Publication date: 7 April 2005

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:bitn.0000039391.19365.56

zbMATH Keywords

relative equilibrianumerical examplesHamiltonian systemserror propagationsymmetries of differential equationsconservative numerical methods

Mathematics Subject Classification ID

Hamilton's equations (70H05) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Error bounds for numerical methods for ordinary differential equations (65L70) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

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