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]

T. Jawecki, W. Auzinger, O. Koch: Computable upper error bounds for Krylov approximations to matrix exponentials and associated phi-functions, accepted for publication in BIT Numerical Mathematics (2019), ISBN: 978-3-902627-11-7. [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]

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]