Scientific Publications

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2018

Accepted Publications

W. Auzinger, H. Hofstätter, O. Koch, M. Quell, M. Thalhammer: A posteriori error estimation for Magnus-type integrators, accepted for publication in ESAIM: Mathematical Modelling and Numerical Analysis (2018). [abstract]

W. Auzinger, I. Brezinova, H. Hofstätter, O. Koch, M. Quell: Practical splitting methods for the adaptive integration of nonlinear evolution equations. Part II: Comparison of local error estimation and step-selection strategies for nonlinear Schrödinger and wave equations, accepted for publication in Computer Physics Communications. [abstract] [www]

Articles

W. Auzinger, J. Burkotova, I. Rachunkova, V. Wenin: Shooting methods for state-dependent impulsive boundary value problems, with applications, Applied Numerical Mathematics, 128 (2018), 217-229. [abstract] [www] [preprint]

W. Auzinger, O. Koch: An improved local error estimator for symmetric time-stepping schemes, Applied Mathematics Letters, 82 (2018), 106-110. [abstract] [www]

Preprints, Technical Reports

T. Jawecki, W. Auzinger, O. Koch: Computable strict upper bounds for Krylov approximations to a class of matrix exponentials and φ, -functions, ASC Report 23/2018, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2018, ISBN 978-3-902627-11-7, S. 1-25. [abstract] [pdf]

W. Auzinger, J. Burkotova, I. Rachunkova, V. Wenin: Shooting methods for state-dependent impulsive boundary value problems, with applications, ASC Report 2/2018, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2018, ISBN 978-3-902627-11-7, S. 1-19. [abstract] [pdf] [published 2018]

W. Auzinger, H. Hofstätter, O. Koch, M. Quell, M. Thalhammer: A posteriori error estimation for Magnus-type integrators, ASC Report 1/2018, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2018, ISBN 978-3-902627-11-7, S. 1-19. [abstract] [pdf]

W. Auzinger, I. Dronyuk, O. Fedevych, Y. Klishch, P. Lipinski: Information technology of traffic modeling using the Ateb-functions theory for improving service delivery in eHealth systems and networks, 2018. [abstract]