Discrete dynamics of implicit time integration schemes for a dissipative system

DOI10.1002/cnm.630zbMath1031.65143OpenAlexW1966539341MaRDI QIDQ4434481

P. B. Bornemann, Ugo Galvanetto

Publication date: 10 November 2003

Published in: Communications in Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.630

zbMATH Keywords

numerical examplesdynamical systemenergy dissipationsymplectic schemesHamiltonian mechanical systemstime integration schemesphase space contractionspurious higher-order fixed points

Mathematics Subject Classification ID

Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Dynamical systems methods for problems in mechanics (70G60)

Related Items (2)

Algorithm for analysis of periodic oscillations of structural systems with geometric nonlinearity ⋮ Piecewise-linearized methods for initial-value problems with oscillating solutions

Cites Work

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• Observations on numerical method dependent solutions of a modified Duffing oscillator
• Spurious solutions of numerical methods for initial value problems
• Order and Chaos in a Discrete Duffing Oscillator: Implications on Numerical Integration
• Geometric integration: numerical solution of differential equations on manifolds
• Geometric integration using discrete gradients

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