Scientific Publications

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2015

Articles

W. Auzinger, O. Koch, M. Thalhammer: Defect-based local error estimators for high-order splitting methods involving three linear operators, Numerical Algorithms, 70 (2015), 61-91. [abstract] [www] [preprint]

W. Auzinger: Defect Correction Methods, in: , Encyclopedia of Applied and Computational Mathematics, 1, B. Enquist (Hrg.), Springer Verlag, Wien, Heidelberg, New York, 2015, (eingeladen), ISBN: 978-3-540-70528-4, S. 323-332. [abstract] [www]

Proceedings

W. Auzinger, O. Koch, M. Thalhammer: Representation and estimation of the local error of higher-order exponential splitting schemes involving two or three sub-operators, 12th International Conference on Numerical Analysis and Applied Mathematics (ICNAAM 2014), Rhodos, 22.09.2014-28.09.2014, Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014 (ICNAAM-2014), (2015), S. 150003. [abstract] [www]

Preprints, Technical Reports

W. Auzinger, O. Koch, M. Quell: Adaptive high-order splitting methods for systems of nonlinear evolution equations with periodic boundary conditions, ASC Report 41/2015, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2015, ISBN 978-3-902627-08-7, S. 1-29. [pdf] [published 2017]

W. Auzinger, T. Kassebacher, O. Koch, M. Thalhammer: Convergence of a Strang splitting finite element discretization for the Schrödinger-Poisson equation, ASC Report 40/2015, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2015, ISBN 978-3-902627-08-7, S. 1-35. [pdf] [published 2017]

W. Auzinger, O. Koch, M. Schöbinger, E. Weinmüller: A new version of the code bvpsuite for singular BVPs in ODEs: Nonlinear solver and its application to m-Laplacians., ASC Report 28/2015, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2015, ISBN 978-3-902627-08-7, S. 1-58. [abstract] [pdf]

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, ASC Report 25/2015, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2015, ISBN 978-3-902627-08-7, S. 1-16. [abstract] [pdf] [published 2017]

W. Auzinger, O. Koch, M. Quell: Splittingverfahren für die Gray-Scott-Gleichung, ASC Report 07/2015, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2015, ISBN 978-3-902627-08-7, S. 1-11. [abstract] [pdf]

W. Auzinger, W. Herfort: An Application of Gröbner Bases to perturbed Polynomial Equations, ASC Report 01/2015, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2015, ISBN 978-3-902627-08-7, S. 1-11. [abstract] [pdf]

Theses

M. Schöbinger: A new version of a collocation code for singular BVPs: Nonlinear solver and its application to m-Laplacians (Supervisor: E. Weinmüller, W. Auzinger), Diploma thesis, Institute for Analysis and Scientific Computing, 2015, Examination: 10.10.2015. [abstract] [pdf]