From 1997 to 2001 I was working on a project devoted to the numerical solution of boundary value problems for ordinary differential equations. This project was funded by the Austrian Science Fund under grant no. P-12507 MAT. The project was continued from 2002 to 2003 under grant no. P-15072 MAT. Comprehensive documentation of the activities can be found on our project homepage. From 2003 to 2004, I was working as a group leader in the Special Research Program (SFB) AURORA of the Austrian Science Fund, and from 2004 to 2005 with the SFB 382 at the Eberhard Karls University in Tübingen. Then, from 2005 to 2006, I was employed with the Institute of Materials Chemistry at Vienna University of Technology. From 2007 to 2010, I was funded by the APART scholarship of the Austrian Academy of Sciences. From 2010 to 2011, I was employed with the Austrian Science Fund's project P21742-N16 at the University of Vienna. From 2011 to 2014, I was assistant professor at Vienna University of Technology. Since 2015, I am employed with my research project MA14-002 funded by the Vienna Science and Technology Fund at the University of Vienna. So far, my research yielded the following refereed papers, other publications and talks :


Co-Authored Talks


  • P. Kofler, The Application of Shooting to Singular Boundary Value Problems, 18th Biennial Conference on Numerical Analysis, Dundee, Scotland, June/July 1999. Joint with W. Auzinger, O. Koch, E. B. Weinmüller.

    You can view the abstract of this talk Peter Kofler gave on June 29th 1999.


  • E. B. Weinmüller, The Application of Multiple Shooting to Singular Boundary Value Problems, SciCADE 99 - International Conference on Scientific Computing and Differential Equations, Fraser Island, Queensland, Australia, August 1999. Joint with W. Auzinger, O. Koch, P. Kofler.

    You can view the abstract of this talk Ewa Weinmüller gave on August 12th 1999.


  • E. B. Weinmüller, Error Estimate and Grid Selection for Singular Boundary Value Problems, Scientific Colloquium on Numerical Analysis of Differential Equations (in Honour of Roswitha März's 60th Birthday), Berlin, Germany, October 2000. Joint with W. Auzinger, O. Koch (invited talk).


  • G. Kneisl, Implementation of a Solution Routine for Singular Boundary Value Problems, Seminar S70 MATLAB/SIMULINK: Einsatz, Anwendungen, Entwicklungen, ARGESIM - Working Group Simulation News, Vienna, Austria, May 2001. Joint with W. Auzinger, O. Koch, W. Polster and E. B. Weinmüller.


  • E. B. Weinmüller, A Collocation Code for Singular/Regular Boundary Value Problems, International Conference on Numerical Algorithms, Marrakesh, Morocco, October 2001. Joint with W. Auzinger, G. Kneisl, O. Koch.

    You can view the abstract of this talk Ewa Weinmüller gave on October 1st 2001.


  • E. B. Weinmüller, New Variants of Defect Correction for Boundary Value Problems in ODEs, Part I, ICM 2002, Xi'an, China, August 2002. Joint with W. Auzinger, O. Koch.

    You can view the abstract of this talk Ewa Weinmüller gave on August 16th 2002.


  • E. B. Weinmüller, The Numerical Solution of Boundary Value Problems with an Essential Singularity, 4th International Conference on Large-Scale Scientific Computations, Sozopol, Bulgaria, June 2003. Joint with W. Auzinger, O. Koch, J. Petrickovic.

    You can view the abstract of this talk Ewa Weinmüller gave in June 2003.


  • E. B. Weinmüller, A Posteriori Error Estimation for Collocation Methods Applied to Singular Boundary Value Problems, Part I, SciCADE 2003 - International Conference on Scientific Computation and Differential Equations, Trondheim, Norway, June/July 2003. Joint with O. Koch.

    You can view the abstract of this talk Ewa Weinmüller gave on July 3rd 2003.


  • E. B. Weinmüller, Global Error Estimates for Collocation Applied to BVPs with an Essential Singularity, ANODE 2003 - Auckland Numerical ODEs, Auckland, New Zealand, July 2003. Joint with W. Auzinger, O.Koch.


  • E. B. Weinmüller, Numerical Solution of Singular Boundary Value Problems in ODEs, Advances in Numerical Algorithms, Graz, Austria, September 2003. Joint with W. Auzinger, O.Koch (invited talk).


  • H. Hofstätter, Defect Correction for Geometric Integrators, APLIMAT 2004, Bratislava, Slovakia, February 2004. Joint with O. Koch.


  • E. B. Weinmüller, Generalized Defect Correction for ODEs, ASCOMS '04, Cancun, Mexico, May 2004. Joint with W. Auzinger, H. Hofstätter, O. Koch, W. Kreuzer.


  • E. B. Weinmüller, From Nonlinear PDEs to Singular ODEs, The Third International Conference on the Numerical Solution of Volterra and Delay Equations, Tempe, Arizona, USA, May 2004. Joint with C.J. Budd, O. Koch.

    You can view the abstract of this talk here.


  • E. B. Weinmüller, Software Development for Singular Boundary Value Problems, CBC Workshop, Györ, Hungary, October 2004. Joint with W. Auzinger, O. Koch, D. Praetorius.


  • W. Auzinger, Transformed Companion Matrices as a Theoretical Tool in the Numerical Analysis of Differential Equations, CBC Workshop, Györ, Hungary, October 2004. Joint with O. Koch, G. Schranz-Kirlinger.

    You can view the abstract of this invited talk here.


  • E. B. Weinmüller, Adaptive Grid Control for Singular BVPs, Adaptivity and Beyond: Computational Methods for Solving Differential Equations, Vancouver, Canada, August 2005. Joint with W. Auzinger, G. Kitzhofer, O. Koch.

    You can view the abstract of this talk here.


  • W. Auzinger, Präzise und effiziente a posteriori Fehlerschätzung bei impliziten und singulären Randwertproblemen, 16. ÖMG-Kongress, Klagenfurt, Austria, September 2005. Joint with E. Karner, O.Koch, D. Praetorius, E. B. Weinmüller.

    You can view the abstract of this talk here.


  • G. Schranz-Kirlinger, Kanonische Formen für Begleitmatrizen und Anwendungen, 16. ÖMG-Kongress, Klagenfurt, Austria, September 2005. Joint with W. Auzinger, O.Koch.


  • G. Schranz-Kirlinger, Canonical Forms for Companion Matrices and Applications, SAM Conference, Zurich, October 2005. Joint with W. Auzinger, O.Koch.


  • E. B. Weinmüller, Collocation Methods for Index-1 DAEs with a Critical Point, Workshop on Differential-Algebraic Equations, Oberwolfach, Germany, April 2006. Joint with O. Koch, R. März, D. Praetorius.


  • E. B. Weinmüller, Collocation for Index-1 DAEs with a Critical Point, 21st European Conference on Operations Research, Reykjavik, Iceland, July 2006. Joint with O. Koch, R. März, D. Praetorius.


  • E. B. Weinmüller, Collocation for Index-1 DAEs with a Singularity of the First Kind, SciCADE 2007 --- International Conference on Scientific Computation And Differential Equations, St. Malo, France, July 2007. Joint with O. Koch, R. März, D. Praetorius.

    You can view the abstract of this talk here.


  • A. S. Bagherzadeh, A posteriori Error Estimation for Second Order ODEs via Defect Correction, 5th Austrian NA Day, Innsbruck, Austria, May 2009. Joint with W. Auzinger and O. Koch.


  • W. Auzinger, Exact FD Schemes and Defect-Based Error Estimation for Second Order ODEs, Colloquium, Györ University, Györ, Hungary, May 2009. Joint with A. S. Bagherzadeh, and O. Koch.


  • A. S. Bagherzadeh, Robust and Highly Accurate Error Estimators for Second Order ODEs, 6th Austrian NA Day, Salzburg, Austria, May 2010. Joint with W. Auzinger and O. Koch.


  • E. B. Weinmüller, Collocation for Nonlinear Index 1 DAEs with Singular Point, ICIAM 2011, Vancouver, Canada, July 2011. Joint with A. Dick, O. Koch, and R. März.


  • W. Auzinger, Local Error Estimation for Exponential Splitting Schemes, Conference on Simulation and Optimization, Györ, Hungary, June 2011. Joint with O. Koch and M. Thalhammer.


  • H. Hofstätter, Convergence Analysis of a Generalized-Laguerre-Fourier-Hermite Method for the Gross-Pitaevskii Equation with Rotation Term, 8thAustrian Numerical Analysis Day, Vienna, Austria, May 2012. Joint with W. Auzinger, O. Koch, and M. Thalhammer.


  • H. Hofstätter, Convergence Analysis of a Generalized-Laguerre-Fourier-Hermite Method for the Gross-Pitaevskii Equation with Rotation Term, Workshop on Innovative Time Integration, Innsbruck, Austria, May 2012. Joint with W. Auzinger, O. Koch, and M. Thalhammer.


  • W. Auzinger, Defect-based error analysis of exponential splitting methods, Conference on Theory of Approximation of Functions and its Applications, Kamieniec Podolski, Ukraine, May/June 2012. Joint with O. Koch and M. Thalhammer.


  • W. Auzinger, Defect and local error of exponential splitting schemes, The 9th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Orlando, Florida, USA, July 2012. Joint with O. Koch and M. Thalhammer.


  • H. Hofstätter, A Perl Program for the Symbolic Manipulation of Flows of Differential Equations and Its Application to the Analysis of Defect-Based Error Estimators for Splitting Methods, 9th Austrian NA Day, Graz, April 2013. Joint with W. Auzinger, O. Koch, and M. Thalhammer.


  • W. Auzinger, 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, Rhodes, September 2014. Joint with O. Koch and M. Thalhammer.


  • W. Auzinger, Representation and Estimation of Local Errors for Splitting Methods Involving two or three Parts, 8th NAI Workshop on Numerical Analysis of Evolution Equations, Innsbruck, October 2014. Joint with H. Hofstätter, O. Koch, and M. Thalhammer.


  • Th. Kassebacher, Adaptive Time Splitting for Nonlinear Schrödinger Equations in the Semiclassical Regime, 8th NAI Workshop on Numerical Analysis of Evolution Equations, Innsbruck, October 2014. Joint with W. Auzinger, O. Koch, and M. Thalhammer.


  • W. Auzinger, Representation and estimation of the local error of higher-order exponential splitting schemes involving two or three sub-operators, Mathematical Seminar, University of Tartu, Estonia, September 2014. Joint with O. Koch and M. Thalhammer.


  • Th. Kassebacher, Adaptive Time Splitting Methods for Nonlinear Schrödinger Equations in the Semiclassical Regime, 11th Austrian Numerical Analysis Day, Linz, May 2015. Joint with W. Auzinger, O. Koch, and M. Thalhammer.


  • H. Hofstätter, On Splitting Methods for Nonlinear Parabolic Evolution Equations, 11th Austrian Numerical Analysis Day, Linz, May 2015. Joint with W. Auzinger, O. Koch, and M. Thalhammer.


  • W. Auzinger, Splitting Methods for Evolution Equations, Local Error Estimation, Adaptivity, International V. Skorobohatko Mathematical Conference, Drohobych, Ukraine, August 2015. Joint with H. Hofstätter, D. Ketcheson, and O. Koch.


  • W. Auzinger, Splitting schemes, order conditions, and optimized pairs, SciCADE - International Conference on Scientific Computing and Differential Equations 2015, Potsdam, Germany, September 2015. Joint with H. Hofstätter, D. Ketcheson, and O. Koch.


  • T. Kassebacher, Convergence of adaptive splitting and finite element methods for the Schrödinger-Poisson equation, SciCADE - International Conference on Scientific Computing and Differential Equations 2015, Potsdam, Germany, September 2015. Joint with W. Auzinger, O. Koch, and M. Thalhammer.


  • H. Hofstätter, Time propagation for Schrödinger-type equations with expensive nonlinearity, Austrian Numerical Analysis Day 2017, Salzburg, May 2017. Joint with O. Koch.

  • H. Hofstätter, Time propagation for Schrödinger-type equations with expensive nonlinearity, University of Innsbruck, Innsbruck, July 2017. Joint with O. Koch.


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    last modification: Wed Jul 12 17:00 MET 2017