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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 of Analysis and Scientific Computing, TU Wien, 2013. [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 of Analysis and Scientific Computing, TU Wien, 2013. [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 of Analysis and Scientific Computing, TU Wien, 2013. [abstract] [pdf] [published 2014]
W. Auzinger: A note on similarity to contraction for stable 2x2 companion matrices, ASC Report 01/2013, Institute of Analysis and Scientific Computing, TU Wien, 2013. [abstract] [pdf] [published 2016]
Theses
G. Niederbrucker: Structured Preconditioners for Matrix-free Iterative Methods (Supervisor: W. Auzinger), Diploma thesis, Institute of 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 of Analysis and Scientific Computing, 2013, Rigorosum: 03.05.2013. [abstract]