Symmetric multistep methods over long times

DOI10.1007/s00211-004-0520-2zbMath1060.65074OpenAlexW1992513039MaRDI QIDQ1889899

Ernst Hairer, Christian Lubich

Publication date: 13 December 2004

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://archive-ouverte.unige.ch/unige:12123

zbMATH Keywords

long time behaviourbackward error analysismodified equationNewtonian equations of motionparasitic solutionsymmetric multistep method

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Free motion of a rigid body (70E15) Stability and convergence of numerical methods for ordinary differential equations (65L20) 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)

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