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, 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]

W. Auzinger, R. Stolyarchuk, R. Stoliarchuk: Strongly damped Stiff Oscillator under External Force: A Case Study, 9-th International Youth Science Forum , Litteris et Artibus, Lviv, 21.11.2019-23.11.2019, Proceedings of the 9-th International Youth Science Forum , Litteris et Artibus, (2019), ISSN: 2618-0227, S. 22-28. [abstract] [pdf]

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, H. Hofstätter, O. Koch: An algorithm for computing coefficients of words in expressions envolving exponentials and its application to the construction of exponential integrators, 21st International Workshop on Computer Algebra in Scientific Computing, Moskau, 26.08.2019-30.08.2019, Computer Algebra in Scientific Computing, Springer Lecture Notes in Computer Science (LNCS), 11661 (2019), ISSN: 0302-9743, S. 197-214.

I. Dronyuk, O. Fedevych, R. Stolyarchuk, W. Auzinger: OMNET++ and Maple software environments for IT Bachelor studies, The 6th International Symposium on Emerging Inter-networks, Communication and Mobility (EICM), Halifax, 19.08.2019-21.08.2019, The 6th International Symposium on Emerging Inter-networks, Communication and Mobility (EICM), E. Shakshuki, A. Yasar, H. Malik (Hrg.), Procedia Computer Science, 155 (2019), S. 654-659. [abstract] [pdf]

Z. Nytrebych, V. Ilkiv, O. Malanchuk, W. Auzinger: Investigation of mathematical model of acoustic wave propagation through relax environment in ultrasound diagnostics problems, 2nd International Workshop on Informatics and Data-Driven Medicine, IDDM 2019, Lviv, 11.11.2019-13.11.2019, CEUR Workshop Proceedings, CEUR-WS, 2488 (2019), ISSN: 1613-0073, S. 280-289. [abstract]

P. Pukach, V. Ilkiv, M. Vovk, O. Slyusarchuk, Y. Pukach, Y. Mylyan, W. Auzinger: On the mathematical model of nonlinear vibrations of a biologically active rod with consideration of the rheological factor, 2nd International Workshop on Informatics and Data-Driven Medicine, IDDM 2019, Lviv, 11.11.2019-13.11.2019, CEUR Workshop Proceedings, CEUR-WS, 2488 (2019), ISSN: 1613-0073, S. 30-42. [abstract]