## The lack of continuity and the role of infinite and infinitesimal in numerical methods for ODEs: The case of symplecticity

- Luigi Brugnano, Felice Iavernaro, Donato Trigiante
- Applied Mathematics and Computation
- 2012

Discrete mathematics has been neglected for a long time. It has been put in the shade by the striking success of continuous mathematics in the last two centuries, mainly because continuous models in physics proved very reliable, but also because of the greater difficulty in dealing with it. This perspective has been rapidly changing in the last years owing… (More)

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