Scientific Publications

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2016

Articles

W. Auzinger, R. Stolyarchuk: A topic in the stability analysis associated with companion matrices, Matematychni Studii, 46 (2016), 115-120. [abstract] [pdf]

W. Auzinger, R. Stolyarchuk, M. Tutz: Defect correction methods, classic and new, Visnyk of the Lviv Univ.Series Mech.Math., 82 (2016), 5-19. [abstract]

W. Auzinger: A note on similarity to contraction for stable 2x2 companion matrices, Ukrainian Mathematical Journal, 68 (2016), 400-407. [abstract] [www] [preprint]

W. Auzinger, T. Kassebacher, O. Koch, M. Thalhammer: Adaptive splitting methods for nonlinear Schrödinger equations in the semiclassical regime, Numerical Algorithms, 72 (2016), 1-35. [abstract] [www] [preprint]

Proceedings

W. Auzinger, H. Hofstätter, O. Koch: Symbolic manipulation of flows of nonlinear evolution equations, with application in the analysis of split-step time integrators, CASC 2016: The 18th International Workshop on Computer Algebra in Scientific Computing, Bukarest, 19.09.2016-23.09.2016, Computer Algebra in Scientific Computing, V. Gerdt, W. Koepf, W. Seiler, E. Vorozhtsov (Hrg.), Lecture Notes in Computer Science, Springer-Verlag, 9890 (2016), ISSN: 0302-9743, S. 43-57. [abstract] [www]

W. Auzinger, W. Herfort, H. Hofstätter, O. Koch: Setup of order conditions for splitting methods, CASC 2016: The 18th International Workshop on Computer Algebra in Scientific Computing, Bukarest, 19.09.2016-23.09.2016, Computer Algebra in Scientific Computing, V. Gerdt, K. Wolfram, W. Seiler, E. Vorozhtsov (Hrg.), Lecture Notes in Computer Science, Springer-Verlag, 9890 (2016), ISSN: 0302-9743, S. 30-42. [abstract] [www]