Auzinger, W., Kassebacher, T., Koch, O., & Thalhammer, M. (2017). Convergence of a Strang splitting finite element discretization for the Schrödinger-Poisson equation. ESAIM: Mathematical Modelling and Numerical Analysis, 51(4), 1245–1278. https://doi.org/10.1051/m2an/2016059 ( reposiTUm)

Auzinger, W., Kassebacher, T., Koch, O., & Thalhammer, M. (2016). Adaptive splitting methods for nonlinear Schrödinger equations in the semiclassical regime. Numerical Algorithms, 72(1), 1–35. https://doi.org/10.1007/s11075-015-0032-4 ( reposiTUm)

Auzinger, W., Koch, O., & Thalhammer, M. (2015). Defect-based local error estimators for high-order splitting methods involving three linear operators. Numerical Algorithms, 70(1), 61–91. https://doi.org/10.1007/s11075-014-9935-8 ( reposiTUm)

Auzinger, W., Hofstätter, H., Koch, O., & Thalhammer, M. (2015). Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part III. The nonlinear case. Journal of Computational and Applied Mathematics, 236(10), 182–204. https://doi.org/10.1016/j.cam.2014.06.012 ( reposiTUm)

Auzinger, W., Koch, O., & Thalhammer, M. (2013). Defect-based local error estimators for splitting methods, with application to Schrödinger equations. Part II. Higher-order methods for linear problems. Journal of Computational and Applied Mathematics, 255, 384–403. https://doi.org/10.1016/j.cam.2013.04.043 ( reposiTUm)

Auzinger, W., Koch, O., & Thalhammer, M. (2012). Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part I. The linear case. Journal of Computational and Applied Mathematics, 236(10), 2643–2659. https://doi.org/10.1016/j.cam.2012.01.001 ( reposiTUm)

Auzinger, W., Herfort, W., Hofstätter, H., & Koch, O. (2016). Setup of order conditions for splitting methods. In V. P. Gerdt, W. Koepf, W. M. Seiler, & E. V. Vorozhtsov (Eds.), Computer Algebra in Scientific Computing  18th International Workshop, CASC 2016, Bucharest, Romania, September 19-23, 2016, Proceedings (pp. 30–42). Lecture Notes in Computer Science, Springer-Verlag. https://doi.org/10.1007/978-3-319-45641-6_3 ( reposiTUm)

Auzinger, W., Hofstätter, H., & Koch, O. (2016). Symbolic manipulation of flows of nonlinear evolution equations, with application in the analysis of split-step time integrators. In V. P. Gerdt, W. Koepf, W. M. Seiler, & E. V. Vorozhtsov (Eds.), Computer Algebra in Scientific Computing  18th International Workshop, CASC 2016, Bucharest, Romania, September 19-23, 2016, Proceedings (pp. 43–57). Lecture Notes in Computer Science, Springer-Verlag. https://doi.org/10.1007/978-3-319-45641-6_4 ( reposiTUm)

Auzinger, W., Koch, O., & Thalhammer, M. (2015). Representation of the local error for higher-order exponential splitting schemes involving two or three sub-operators. In AIP Conference Proceedings. 12th International Conference on Numerical Analysis and Applied Mathematics (ICNAAM 2014), Rhodos, Greece. https://doi.org/10.1063/1.4912433 ( reposiTUm)

Auzinger, W., Koch, O., Kassebacher, T., & Thalhammer, M. (2016). Time-splitting FEM discretization of the Schrödinger-Poisson equation. 12th Austrian Numerical Analysis Day, Innsbruck, Austria. http://hdl.handle.net/20.500.12708/121458 ( reposiTUm)

Auzinger, W. (2016). Construction of adaptive splitting methods. SDIDE 2016 - 5th Workshop on Stability and Discretization Issues in Differential Equations, Triest, Italy. http://hdl.handle.net/20.500.12708/121496 ( reposiTUm)

Auzinger, W., Hofstätter, H., Ketcheson, D., Koch, O., & Thalhammer, M. (2016). Higher-order time-adaptive splitting schemes for evolution equations. SIAM Annual Meeting 2016, Boston, United States of America (the). http://hdl.handle.net/20.500.12708/121485 ( reposiTUm)

Auzinger, W., Hofstätter, H., Ketcheson, D., Koch, O., & Thalhammer, M. (2016). Local error estimation and adaptive splitting in time. 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Orlando, United States of America (the). http://hdl.handle.net/20.500.12708/121484 ( reposiTUm)

Auzinger, W., Kassebacher, T., Koch, O., & Thalhammer, M. (2015). Adaptive time-splitting methods for nonlinear Schrödinger equations in the semiclassical regime. 11th Austrian Numerical Analysis Day, 2015, Linz, Austria. http://hdl.handle.net/20.500.12708/121110 ( reposiTUm)

Auzinger, W. (2015). Approximating the local error of one-step methods for nonlinear evolution equations. ICNODEA 2015 - International Conference on Nonlinear Operators, Differential Equations and Applications, Cluj-Napoca, Romania. http://hdl.handle.net/20.500.12708/121125 ( reposiTUm)

Auzinger, W., Hofstätter, H., Koch, O., Quell, M., & Thalhammer, M. (2015). Adaptive High-order Time-Splitting Methods for Systems of Evolution Equations: Applications in Quantum Dynamics and Pattern Formation. SciCADE 2015, Potsdam, Germany. http://hdl.handle.net/20.500.12708/121168 ( reposiTUm)

Auzinger, W., Kassebacher, T., Koch, O., & Thalhammer, M. (2015). Convergence of adaptive splitting and finite element methods for the Schrödinger-Poisson equation. SciCADE 2015, Potsdam, Germany. http://hdl.handle.net/20.500.12708/121169 ( reposiTUm)

Auzinger, W., Hofstätter, H., Ketcheson, D., & Koch, O. (2015). Splitting schemes, order conditions, and optimized pairs. SciCADE 2015, Potsdam, Germany. http://hdl.handle.net/20.500.12708/121167 ( reposiTUm)

Auzinger, W. (2015). Splitting methods for evolution equations, local error estimation, and adaptivity. ISMC 2015 - International V. Skorobohatko Mathematical Conference, Drohobych, Ukraine. http://hdl.handle.net/20.500.12708/121141 ( reposiTUm)

Auzinger, W., & Stolyarchuk, R. (2014). Local error estimation, adaptive time stepping, and global error estimation for the time integration of linear and nonlinear evolution equations. IV. International Hahn Conference dedicated to the 135. anniversary of Hans Hahn, Chernivtsi, Non-EU. http://hdl.handle.net/20.500.12708/120777 ( reposiTUm)

Auzinger, W. (2014). Error estimation and adaptive time stepping for nonlinear evolution equations. 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Madrid, EU. http://hdl.handle.net/20.500.12708/120778 ( reposiTUm)

Auzinger, W., Koch, O., & Thalhammer, M. (2014). Representation and estimation of the local error of higher-order exponential splitting schemes involving two or three sub-operators. Mathematisches Seminar, Tartu, EU. http://hdl.handle.net/20.500.12708/120801 ( reposiTUm)

Auzinger, W., Hofstätter, H., Koch, O., & Thalhammer, M. (2014). Representation and estimation of local errors for splitting methods involving two or three parts. 8th NAI Workshop on Numerical Analysis of Evolution Equations, Innsbruck, Austria. http://hdl.handle.net/20.500.12708/120808 ( reposiTUm)

Auzinger, W., Kassebacher, T., Koch, O., & Thalhammer, M. (2014). Adaptive time splitting for nonlinear Schrödinger equations in the semiclassical regime. 8th NAI Workshop on Numerical Analysis of Evolution Equations, Innsbruck, Austria. http://hdl.handle.net/20.500.12708/120809 ( reposiTUm)

Auzinger, W., & Herfort, W. (2013). Local error structures and order conditions for exponential splitting methods. 18th ÖMG Congress and Annual DMV Meeting, Universität Innsbruck, Austria. http://hdl.handle.net/20.500.12708/120386 ( reposiTUm)

Koch, O., Auzinger, W., Hofstätter, H., & Thalhammer, M. (2013). Fully Discrete Splitting Methods for Rotating Bose-Einstein Condensates. 18th ÖMG Congress and Annual DMV Meeting, Universität Innsbruck, Austria. http://hdl.handle.net/20.500.12708/120470 ( reposiTUm)

Auzinger, W., Hofstätter, H., Koch, O., & Thalhammer, M. (2013). Local error structures and a posteriori estimates for exponential splitting methods. Seminar des Institutes für Mathematik, Universität Tübingen, Tübingen, EU. http://hdl.handle.net/20.500.12708/120397 ( reposiTUm)

Auzinger, W., Hofstätter, H., Koch, O., & Thalhammer, M. (2013). Defect-based error estimates for exponential splitting methods. 25th Biennial Numerical Analysis Conference, Glasgow, EU. http://hdl.handle.net/20.500.12708/120342 ( reposiTUm)

Auzinger, W., Hofstätter, H., Koch, O., & Thalhammer, M. (2013). Local error structures and a posteriori estimates for exponential splitting methods. Functional Differential Equations, Danzig, EU. http://hdl.handle.net/20.500.12708/120354 ( reposiTUm)

Auzinger, W., Koch, O., & Thalhammer, M. (2013). A priori and a posteriori error analysis for higher-order splitting methods. SDIDE 2013 - 4th Workshop Stability and Discretization Issues in Differential Equations, Pamplona, EU. http://hdl.handle.net/20.500.12708/120322 ( reposiTUm)

Auzinger, W., Koch, O., & Thalhammer, M. (2013). Local error structures of higher-order exponential splitting schemes. 9th Austrian Numerical Analysis Day, Graz, Austria. http://hdl.handle.net/20.500.12708/120315 ( reposiTUm)

Auzinger, W. (2012). Defect-based error analysis of exponential splitting methods. Conference on Theory of Approximation of Functions and its Applications, Kamjanez-Podilskyj, Non-EU. http://hdl.handle.net/20.500.12708/120034 ( reposiTUm)

Auzinger, W. (2012). Exponentielle Splitting-Methoden für Evolutionsgleichungen. 71. KoMa Wintersemester 2012 TU Wien (Konferenz der deutschsprachigen Mathematikfachschaften), Wien, Austria. http://hdl.handle.net/20.500.12708/120105 ( reposiTUm)

Koch, O., Auzinger, W., Hofstätter, H., & Thalhammer, M. (2012). Adaptive Full Discretization of Nonlinear Schrödinger Equations. 8th Austrian Numerical Analysis Day, Wien, Austria. http://hdl.handle.net/20.500.12708/120023 ( reposiTUm)

Auzinger, W., Koch, O., & Thalhammer, M. (2012). Defect and local error of exponential splitting schemes. The 9th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Orlando, Florida, USA, Non-EU. http://hdl.handle.net/20.500.12708/120044 ( reposiTUm)

Koch, O., Auzinger, W., Hofstätter, H., & Thalhammer, M. (2012). Adaptive Full Discretization of Gross-Pitaevskii Equations with Rotation Term. Workshop on Innovative Time Integration, Innsbruck, Austria. http://hdl.handle.net/20.500.12708/120024 ( reposiTUm)

Auzinger, W., Hofstätter, H., Ketcheson, D., & Koch, O. (2015). 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; pp. 1–16). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/28679 ( reposiTUm)

Auzinger, W., Koch, O., & Quell, M. (2015). Splittingverfahren für die Gray-Scott-Gleichung (ASC Report 07/2015; pp. 1–11). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/28604 ( reposiTUm)

Auzinger, W., Kassebacher, T., Koch, O., & Thalhammer, M. (2014). Adaptive splitting methods for nonlinear Schrödinger equations in the semiclassical regime (ASC Report 27/2014; pp. 1–30). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/28362 ( reposiTUm)

Auzinger, W., Hofstätter, H., Koch, O., & Thalhammer, M. (2013). Defect-based local error estimators for splitting methods, with application to Schrödinger equations Part III. The nonlinear case (ASC Report 19/2013; pp. 1–44). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/27964 ( reposiTUm)

Auzinger, W., Koch, O., & Thalhammer, M. (2012). Defect-based local error estimators for splitting methods, with application to Schrödinger equations. Part II. Higher-order methods for linear problems (ASC Report 50/2012; pp. 1–37). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/27710 ( reposiTUm)