2010 | OriginalPaper | Buchkapitel
Geometric Integration Part II—Hamiltonian Dynamics
verfasst von : David F. Griffiths, Desmond J. Higham
Erschienen in: Numerical Methods for Ordinary Differential Equations
Verlag: Springer London
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This chapter continues our study of geometric features of ODEs. We look at Hamiltonian problems, which possess the important property of symplecticness. As in the previous chapter our emphasis is on
– showing that methods must be carefully chosen if they are to possess the correct geometric property, and
– using the idea of modified equations to explain the qualitative behaviour of numerical methods.