Geometric integrators for piecewise smooth Hamiltonian systems

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Chartier , Philippe; Faou , Erwan;
  • Publisher: EDP Sciences
  • Related identifiers: doi: 10.1051/m2an:2008006
  • Subject: weak order | B-splines | Hamiltonian systems | symplecticity | volume-preservation | energy-preservation | 65L05; 65L06; 65L20 | [ MATH.MATH-NA ] Mathematics [math]/Numerical Analysis [math.NA]

International audience; In this paper, we consider C 1,1 Hamiltonian systems. We prove the existence of a first derivative of the flow with respect to initial values and show that it satisfies the symplecticity condition almost everywhere in the phase-space. In a second... View more
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