Involved researchers:

Othmar Koch (PI, University of Vienna)

Karsten Held (Co-PI, Vienna University of Technology)

Karolina Kropielnicka (International collaborator, University of Gdansk)

Christian Lubich (International collaborator, University of Tübingen)

Winfried Auzinger (National collaborator, Vienna University of Technology)

Mechthild Thalhammer (National collaborator, University of Innsbruck).

So far, the project yielded the following articles and preprints and conference presentations.

- H. Hofstätter and O. Koch,
*Non-satisfiability of a positivity condition for commutator-free exponential integrators of order higher than four*, submitted.

You can download a preprint of this paper from https://arxiv.org/abs/1709.08473

- W. Auzinger,
H. Hofstätter, O. Koch, and M. Thalhammer,
*A posteriori error estimation for Magnus-type integrators*, submitted.

You can download a preprint of this paper as a .pdf file.

- W. Auzinger and O. Koch,
*An improved local error estimator for symmetric time-stepping schemes*, Appl. Math. Lett. 82(2018), pp.106-110.

Archived at https://uscholar.univie.ac.at/.

- W. Auzinger,
H. Hofstätter, and O. Koch,
*Symmetrized local error estimators for time-reversible one-step methods in nonlinear evolution equations*, submitted.

You can download a preprint of this paper from https://arxiv.org/abs/1806.07771

**Oral Presentations**

- H. Hofstätter,
*Order conditions for exponential integrators*, 14th Austrian Numerical Analysis Day 2018, Klagenfurt, May 2018. Joint with W. Auzinger and O. Koch.

- T. Jawecki,
*A computable strict upper bound for Krylov subspace approximations to the exponential of skew-Hermitian matrices*, 14th Austrian Numerical Analysis Day 2018, Klagenfurt, May 2018. Joint with W. Auzinger and O. Koch.

- W. Auzinger (invited talk),
*Sharp a posteriori error estimation for symmetric one-step integrators*, International Conference on Modern Problems of Mechanics and Mathematics, Lviv, Ukraine, May 2018. Joint with H. Hofstätter and O. Koch.

- W. Auzinger (invited talk),
*Sharp local error estimation for time-reversible one-step schemes*, Workshop `Modern Numerical Methods for Quantum Mechanics II', Gdansk, Poland, June 2018. Joint with H. Hofstätter and O. Koch.

- H. Hofstätter,
*Order conditions for exponential integrators*, poster presentation at the Workshop `Modern Numerical Methods for Quantum Mechanics II', Gdansk, Poland, June 2018. Joint with W. Auzinger and O. Koch.

- T. Jawecki,
*A computable strict upper bound for Krylov subspace approximations to the exponential of skew-Hermitian matrices*, poster presentation at the Workshop `Modern Numerical Methods for Quantum Mechanics II', Gdansk, Poland, June 2018. Joint with W. Auzinger and O. Koch. Also supported by Doctoral Program TU-D.

You can download this poster as a .pdf file.

page written by Othmar Koch.last modification: Sun Jul 8 10:00 MET 2018 |