Contact variational integratorsVermeeren, M., Bravetti, A. & Seri, M., 1-Feb-2019, (Submitted) In : ArXiv.
Research output: Contribution to journal › Article › Academic › peer-review
We present geometric numerical integrators for contact flows that stem from a discretization of Herglotz' variational principle. First we show that the resulting discrete map is a contact transformation and that any contact map can be derived from a variational principle. Then we discuss the backward error analysis of our variational integrators, including the construction of a modified Lagrangian. Surprisingly, this construction presents some interesting simplifications compared to the corresponding construction for symplectic systems. Throughout the paper we use the damped harmonic oscillator as a benchmark example to compare our integrators to their symplectic analogues.
|Publication status||Submitted - 1-Feb-2019|
- math.NA, math-ph, math.MP
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