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- W1989060178 abstract "This paper concerns the numerical integration of systems of harmonic oscillators coupled by nonlinear terms, like the common FPU models. We show that the most used integration algorithm, namely leap-frog, behaves very gently with such models, preserving in a beautiful way some peculiar features which are known to be very important in the dynamics, in particular the “selection rules” which regulate the interaction among normal modes. This explains why leap-frog, in spite of being a low order algorithm, behaves so well, as numerical experimentalists always observed. At the same time, we show how the algorithm can be improved by introducing, at a low cost, a “counterterm” which eliminates the dominant numerical error." @default.
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- W1989060178 date "2011-03-01" @default.
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- W1989060178 title "On the numerical integration of FPU-like systems" @default.
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- W1989060178 doi "https://doi.org/10.1016/j.physd.2010.11.008" @default.
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