Scientific Publications

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2019

Accepted Publications

W. Auzinger, H. Hofstätter, O. Koch, K. Kropielnicka, P. Singh: Time adaptive Zassenhaus splittings for the Schrödinger equation in the semiclassical regime, accepted for publication in Appl. Math. Comput.. [abstract]

Articles

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, Computer Physics Communications, 234 (2019), 55-71. [abstract] [www] [preprint]

W. Auzinger, H. Hofstätter, O. Koch: Non-existence of generalized splitting methods with positive coefficients of order higher than four, Applied Mathematics Letters, 97 (2019), 48-52. [abstract] [www]

W. Auzinger, H. Hofstätter, O. Koch: Symmetrized local error estimators for time-reversible one-step methods in nonlinear evolution equations, Journal of Computational and Applied Mathematics, 356 (2019), 339-357. [abstract] [www]

W. Auzinger, H. Hofstätter, O. Koch, M. Quell, M. Thalhammer: A posteriori error estimation for Magnus-type integrators, Mathematical Modelling and Numerical Analysis (M2AN), 53 (2019), 197-218. [abstract] [www] [preprint]

T. Jawecki, W. Auzinger, O. Koch: Computable upper error bounds for Krylov approximations to matrix exponentials and associated phi-functions, BIT Numerical Mathematics, 0 (2019), 1-41. [abstract] [pdf]

Proceedings

W. Auzinger, A. Grosz, H. Hofstätter, O. Koch: Adaptive Exponential Integrators for MCTDHF, 12th International Conference on Large-Scale Scientific Computations, Sozopol, 10.06.2019-14.06.2019, Proceedings of the 12th International Conference on Large-Scale Scientific Computations, Springer Lecture Notes in Computer Science (LNCS), (2019). [abstract]

W. Auzinger, K. Obelovska, R. Stolyarchuk: A Modified Gomory-Hu Algorithm with DWDM-oriented Technology, 12th International Conference on Large-Scale Scientific Computations, Sozopol, 10.06.2019-14.06.2019, Proceedings of the 12th International Conference on Large-Scale Scientific Computations, Springer Lecture Notes in Computer Science (LNCS), (2019). [abstract]

I. Dronyuk, O. Fedevych, R. Stolyarchuk, W. Auzinger: OMNET++ and Maple software environments for IT Bachelor studies, The 16th International Conference on Mobile Systems and Pervasive Computing (MobiSPC 2019), 155, E. Shakshuki, A. Yasar, H. Malik (Hrg.), edited by Procedia Computer Science, Elsevier, 2019, ISBN S. 654-659. [abstract] [pdf]