Scientific Publications

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2013

Articles

W. Auzinger, O. Koch, M. Thalhammer: Defect-based local error estimators for splitting methods, with application to Schrödinger equations. Part II. Higher-order methods for linear problems, Journal of Computational and Applied Mathematics, 255 (2013), 384-403. [abstract] [www] [preprint] [preprint]

I. Reichl, W. Auzinger: Identifying Tibio-Femoral Joint Kinematics: Individual Adjustment versus Numerical Robustness, IFAC PapersOnLine, Mathematical Modelling, Volume # 7 | Part# 1 (2013), 819-824. [abstract] [www]

Proceedings

W. Auzinger: Global error estimation in exponential integrators, Modelling and Stability, edited by Dynamical System Modelling and Stability Investigation, DSMSI Dynamical System Modelling and Stability Investigation, Kiew, 2013, ISBN: 966-76-52-009, 26-27. [abstract] [pdf]

Preprints, Technical Reports

W. Auzinger, O. Koch, A. Saboor Bagherzadeh: Error estimation based on locally weighted defect for boundary value problems in second order ordinary differential equations, ASC Report 29/2013, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2013, ISBN 978-3-902627-06-3, S. 1-23. [abstract] [pdf] [published 2014]

W. Auzinger, W. Herfort: Local error structures and order conditions in terms of Lie elements for exponential splitting schemes, ASC Report 23/2013, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2013, ISBN 978-3-902627-06-3, S. 1-15. [abstract] [pdf] [published 2014]

W. Auzinger, H. Hofstätter, O. Koch, M. Thalhammer: Defect-based local error estimators for splitting methods, with application to Schrödinger equations Part III. The nonlinear case, ASC Report 19/2013, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2013, ISBN 978-3-902627-06-3, S. 1-44. [abstract] [pdf] [published 2014]

W. Auzinger: A note on similarity to contraction for stable 2x2 companion matrices, ASC Report 01/2013, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2013, ISBN 978-3-902627-06-3, S. 1-9. [abstract] [pdf] [published 2016]

Theses

G. Niederbrucker: Structured Preconditioners for Matrix-free Iterative Methods (Supervisor: W. Auzinger), Diploma thesis, Institute for Analysis and Scientific Computing, 2013.

M. Tutz: Iterierte Defektkorrektur für explizite und implizite Anfangswertprobleme erster und zweiter Ordnung, Betreuer/in (nen) (Supervisor: W. Auzinger, M. Thalhammer), Dissertation, Institute for Analysis and Scientific Computing, 2013, Rigorosum: 03.05.2013. [abstract]