Long-Time Energy Conservation of Numerical Methods for Oscillatory Differential Equations
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Publication:4509690
DOI10.1137/S0036142999353594zbMath0988.65118MaRDI QIDQ4509690
Christian Lubich, Ernst Hairer
Publication date: 19 October 2000
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
backward error analysisFermi-Pasta-Ulam problemoscillatory differential equationsfrequency expansionhigh frequency vibrating Hamiltonian systemslongtime energy conservationsecond-order symmetric methods
Nonlinear ordinary differential equations and systems (34A34) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Dynamics induced by flows and semiflows (37C10) Numerical methods for initial value problems involving ordinary differential equations (65L05) 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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