Scientific Publications

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2017

Articles

W. Auzinger, O. Koch, M. Quell: Adaptive high-order splitting methods for systems of nonlinear evolution equations with periodic boundary conditions, Numerical Algorithms, 75 (2017), 261-283. [abstract] [www] [preprint]

W. Auzinger, H. Hofstätter, D. Ketcheson, O. Koch: Practical splitting methods for the adaptive integration of nonlinear evolution equations. Part I: Construction of optimized schemes and pairs of schemes, BIT Numerical Mathematics, 57 (2017), 55-74. [abstract] [www] [preprint]

W. Auzinger, W. Herfort, O. Koch, M. Thalhammer: The BCH-formula and order conditions for splitting methods, in: , Lie Groups, Differential Equations, and Geometry, G. Falcone (Hrg.), Springer, 2017, (eingeladen), ISBN: 978-3-319-62180-7, S. 71-83. [abstract]

W. Auzinger, T. Kassebacher, O. Koch, M. Thalhammer: Convergence of a Strang splitting finite element discretization for the Schrödinger-Poisson equation, Mathematical Modelling and Numerical Analysis (M2AN), 51 (2017), 1245-1278. [abstract] [www] [preprint]

Proceedings

W. Auzinger, H. Hofstätter, O. Koch, M. Thalhammer: Reduced order of the local error of splitting for parabolic problems, 14th International Conference on Numerical Analysis and Applied Mathematics (ICNAAM 2016), Rhodos, 19.09.2016-25.09.2016, Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2016 (ICNAAM-2016), AIP Conference Proceedings, 1608 (2017), ISBN: 9780735415386, S. 160008-160011. [abstract] [www]

Preprints, Technical Reports

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, ASC Report 14/2017, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2017, ISBN 978-3-902627-10-0, S. 1-40. [abstract] [pdf] [published 2019]