Contact variational integratorsVermeeren, M., Bravetti, A. & Seri, M., 10-Oct-2019, In : Journal of Physics A: Mathematical and Theoretical. 55, 44, 27 p., 445206.
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.
|Number of pages||27|
|Journal||Journal of Physics A: Mathematical and Theoretical|
|Publication status||Published - 10-Oct-2019|
- math.NA, math-ph, math.MP