Scientific Publications

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2014

Articles

W. Auzinger, O. Koch, A. Saboor Bagherzadeh: Error estimation based on locally weighted defect for boundary value problems in second order ordinary differential equations, BIT Numerical Mathematics, 54 (2014), 873-900. [abstract] [www] [preprint]

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, Journal of Computational and Applied Mathematics, 273 (2014), 182-204. [abstract] [www] [preprint]

W. Auzinger, W. Herfort: Local error structures and order conditions in terms of Lie elements for exponential splitting schemes, Opuscula Math., 34 (2014), 243-255. [abstract] [pdf] [preprint]

Preprints, Technical Reports

W. Auzinger, T. Kassebacher, O. Koch, M. Thalhammer: Adaptive splitting methods for nonlinear Schrödinger equations in the semiclassical regime, ASC Report 27/2014, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2014, ISBN 978-3-902627-07-0, S. 1-30. [abstract] [pdf] [published 2016]

W. Auzinger, O. Koch, M. Thalhammer: Defect-based local error estimators for high-order splitting methods involving three linear operators, ASC Report 22/2014, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2014, ISBN 978-3-902627-07-0, S. 1-26. [abstract] [pdf] [published 2015]