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. Currently, I am funded by the APART scholarship of the Austrian Academy of Sciences. So far, my research yielded the following refereed papers, other publications and talks :

• O. Koch, Numerische Lösung singulärer Anfangswertprobleme zweiter Ordnung, Thesis, Vienna University of Technology, Austria, 1998.
  
  You can view the abstract of my thesis or download the entire text as a .pdf file.
  
  Refereed Papers
  
  
• O. Koch, P. Kofler, E. B. Weinmüller, The Implicit Euler Method for the Numerical Solution of Singular Initial Value Problems, Appl. Numer. Math. 34(2000), pp. 231-252.
  
  You can view the abstract of this paper or download the entire text as a .pdf file.
  
  
  
• O. Koch, P. Kofler, E. B. Weinmüller, Initial Value Problems for Systems of Ordinary First and Second Order Differential Equations with a Singularity of the First Kind, Analysis 21(2001), pp. 373-389.
  
  You can view the abstract of this paper or download the entire text as a .pdf file.
  
  
  
• O. Koch, E. B. Weinmüller, Iterated Defect Correction for the Solution of Singular Initial Value Problems, SIAM J. Numer. Anal. 38(2001), pp. 1784-1799.
  
  You can view the abstract of this paper or download the entire text as a .pdf file.
  
  
  
• W. Auzinger, O. Koch, E. B. Weinmüller, Theory and Solution Techniques for Singular Boundary Value Problems for Ordinary Differential Equations, in: Parallel Processing and Applied Mathematics (M.P.R. Wyrzykowski, J. Dongarra, and J. Wasniewsky, eds.), Springer Lecture Notes in Computer Science 2328(2002), pp. 851-861.
  
  You can view the abstract of this paper or download the entire text as a .pdf file.
  
  
  
• O. Koch, E. B. Weinmüller, The Convergence of Shooting Methods for Singular Boundary Value Problems, Math. Comp. 72(2003), pp. 289-305.
  
  You can view the abstract of this paper or download the entire text as a .pdf file.
  
  
  
• W. Auzinger, O. Koch, E. B. Weinmüller, Efficient Collocation Schemes for Singular Boundary Value Problems, Numer. Algorithms 31(2002), pp. 5-25.
  
  You can view the abstract of this paper or download the entire text as a .pdf file.
  
  
  
• W. Auzinger, G. Kneisl, O. Koch, E. B. Weinmüller, A Collocation Code for Boundary Value Problems in Ordinary Differential Equations, Numer. Algorithms 33(2003), pp. 27-39.
  
  You can view the abstract of this paper or download the entire text as a .pdf file.
  
  
  
• O. Koch, E. B. Weinmüller, Analytical and Numerical Treatment of a Singular Initial Value Problem in Avalanche Modeling, Appl. Math. Comput. 148(2004), pp. 561-570.
  
  You can view the abstract of this paper or download the entire text as a .pdf file.
  
  
  
• W. Auzinger, O. Koch, E. B. Weinmüller, New Variants of Defect Correction for Boundary Value Problems in Ordinary Differential Equations, in Current Trends in Scientific Computing, Z. Chen, R. Glowinski, K. Li (eds), Contemp. Math. 329(2003), pp. 43-50.
  
  You can view the abstract of this paper or download the entire text as a .pdf file.
  
  
  
• W. Auzinger, O. Koch, E. B. Weinmüller, Collocation Methods for Boundary Value Problems with an Essential Singularity, in: Large-Scale Scientific Computing (I. Lirkov, S. Margenov, J. Wasniewski, and P. Yalamov, eds.), Springer Lecture Notes in Computer Science 2907, pp. 347-354.
  
  You can view the abstract of this paper or download the entire text as a .pdf file.
  
  
  
• O. Koch, Discrete Event Simulation of the Transport Logistics of the Austrian Red Cross, SNE Simulation News Europe, 38/39(2003), pp. 10-15.
  
  You can view the abstract of this paper or download the entire text as a .pdf file.
  
  
  
• W. Auzinger, O. Koch, E. B. Weinmüller, Analysis of a New Error Estimate for Collocation Methods Applied to Singular Boundary Value Problems, SIAM J. Numer. Anal. 42(2005), pp. 2366-2386.
  
  You can view the abstract of this paper or download the entire text as a .pdf file.
  
  
  
• O. Koch, H. Weigl, Modeling Ambulance Service of the Austrian Red Cross, Proceedings of the Winter Simulation Conference 2003, pp. 701-706.
  
  You can view the abstract of this paper or download the entire text as a .pdf file.
  
  
  
• W. Auzinger, O. Koch, D. Praetorius, E. B. Weinmüller, New a Posteriori Error Estimates for Singular Boundary Value Problems, Numer. Algorithms 40(2005), pp. 79-100.
  
  You can view the abstract of this paper or download the entire text as a .pdf file.
  
  
  
• O. Koch, Asymptotically Correct Error Estimation for Collocation Methods Applied to Singular Boundary Value Problems, Numer. Math. 101(2005), pp. 143-164.
  
  You can view the abstract of this paper or download the entire text as a .pdf file.
  
  
  
• C.J. Budd, O. Koch, E. B. Weinmüller, Computation of Self-Similar Solution Profiles for the Nonlinear Schrödinger Equation, Computing 77(2006), pp. 335-346.
  
  You can view the abstract of this paper or download the entire text as a .pdf file.
  
  
  
• J. Caillat, J. Zanghellini, M. Kitzler, W. Kreuzer, O. Koch, A. Scrinzi, Correlated Multielectron Systems in Strong Laser Pulses - An MCTDHF Approach, Phys. Rev. A 71(2005), pp. 012712.
  
  You can view the abstract of this paper or download the entire text as a .pdf file.
  
  
  
• C.J. Budd, O. Koch, E. B. Weinmüller, From Nonlinear PDEs to Singular ODEs, Appl. Numer. Math. 56(2006), pp. 413-422.
  
  You can view the abstract of this paper or download the entire text as a .pdf file.
  
  
  
• W. Auzinger, O. Koch, E. B. Weinmüller, Efficient Mesh Selection for Collocation Methods Applied to Singular BVPs, J. Comput. Appl. Math. 180(2005), pp. 213-227.
  
  You can view the abstract of this paper or download the entire text as a .pdf file.
  
  
  
• H. Hofstätter, O. Koch, Analysis of a Defect Correction Method for Geometric Integrators, Numer. Algorithms 41(2006), pp. 103-126.
  
  You can view the abstract of this paper or download the entire text as a .pdf file.
  
  
  
• O. Koch, W. Kreuzer, A. Scrinzi, Approximation of the Time-Dependent Electronic Schrödinger Equation by MCTDHF, Appl. Math. Comput. 173(2006), pp. 960-976.
  
  You can view the abstract of this paper or download the entire text as a .pdf file.
  
  
  
• G. Kitzhofer, O. Koch, P. Lima, E. B. Weinmüller, Efficient Numerical Solution of the Density Profile Equation in Hydrodynamics, J. Sci. Comput. 32(2007), pp. 411-424.
  
  You can view the abstract of this paper or download the entire text as a .pdf file.
  
  
  
• O. Koch, C. Lubich, Regularity of the Multi-Configuration Time-Dependent Hartree Approximation in Quantum Molecular Dynamics, M2AN Math. Model. Numer. Anal. 41(2007), pp. 315-331.
  
  You can view the abstract of this paper or download the entire text as a .pdf file.
  
  
  
• O. Koch, C. Lubich, Dynamical Low Rank Approximation, SIAM J. Matrix Anal. Appl. 29(2007), pp. 434-454.
  
  You can view the abstract of this paper or download the entire text as a .pdf file.
  
  
  
• G. Kitzhofer, O. Koch, E. B. Weinmüller, Pathfollowing for Essentially Singular Boundary Value Problems with Application to the Complex Ginzburg-Landau Equation, BIT 49(2009), pp. 141-160.
  
  You can view the abstract of this paper or download the entire text as a .pdf file.
  
  
  
• O. Koch, Efficient Computation of the MCTDHF Approximation to the Time-Dependent Schrödinger Equation, Opuscula Math. 26(2006), pp. 473-487.
  
  You can view the abstract of this paper or download the entire text as a .pdf file.
  
  
  
• W. Auzinger, E. Karner, O. Koch, E. B. Weinmüller, Collocation Methods for the Solution of Eigenvalue Problems for Singular Ordinary Differential Equations, Opuscula Math. 26(2006), pp. 29-41.
  
  You can view the abstract of this paper or download the entire text as a .pdf file.
  
  
  
• O. Koch, R. März, D. Praetorius, E. B. Weinmüller, Collocation Methods for Index-1 DAES with a Critical Point, Oberwolfach Report No. 18, ID 06016(2006), pp. 81-84.
  
  You can download this paper as a .pdf file.
  
  
  
• I. Rachunkova, O. Koch, G. Pulverer, E. B. Weinmüller, On a Singular Problem Arising in the Theory of Shallow Membrane Caps, J. Math. Anal. Appl. 332(2007), pp. 523-541.
  
  You can download this paper as a .pdf file.
  
  
  
• O. Koch, C. Lubich, Variational Splitting Time Integration of the MCTDHF Equations in Electron Dynamics, to appear in IMA J. Numer. Anal..
  
  You can download this paper as a .pdf file.
  
  
  
• P. Blaha, H. Hofstätter, O. Koch, R. Laskowsky, K. Schwarz, Iterative Diagonalization in APW Based Methods in Electronic Structure Calculations, J. Comput. Phys. 229(2010), pp. 453-460.
  
  You can download this paper as a .pdf file.
  
  
  
• O. Koch, R. März, D. Praetorius, E. B. Weinmüller, Collocation Methods for Index 1 DAEs with a Singularity of the First Kind, Math. Comp. 79(2010), pp. 281-304.
  
  You can download this paper as a .pdf file.
  
  
  
• C. Ede, G. Jordan, O. Koch, A. Scrinzi, Hierarchical Matrices in Computations of Electron Dynamics, J. Sci. Comput. 42(2010), pp. 447-455.
  
  You can download this paper as a .pdf file.
  
  
  
• O. Koch, The Variational Splitting Method for the Multi-Configuration Time-Dependent Hartree-Fock Equations for Atoms, submitted to JNAIAM J. Numer. Anal. Indust. Appl. Math.
  
  
  
• G. Kitzhofer, O. Koch, G. Pulverer, Ch. Simon, and E. B. Weinmüller, The New Matlab Code bvpsuite for the Solution of Singular Implicit BVPs, submitted to JNAIAM J. Numer. Anal. Indust. Appl. Math.
  
  
  
• O. Koch, and C. Lubich, Dynamical Tensor Approximation, SIAM J. Matrix Anal. Appl. 31(2010), pp. 2360-2375.
  
  You can download this paper as a .pdf file.
  
  
  
• J. Cash, G. Kitzhofer, O. Koch, G. Moore, and E. B. Weinmüller, Numerical Solution of Singular Two Point BVPs, JNAIAM J. Numer. Anal. Indust. Appl. Math. 4(2009), pp. 129-149.
  
  You can download this paper as a .pdf file.
  
  
  
• O. Koch, C. Neuhauser, M. Thalhammer, High-Order Splitting Methods for the Multi-Configuration Time-Dependent Hartree-Fock Equations in Electron Dynamics, submitted to IMA J. Numer. Anal..
  
  
  
• R. Hammerling, O. Koch, Ch. Simon, and E. B. Weinmüller, Numerical Solution of Singular ODE Eigenvalue Problems in Electronic Structure Computations, J. Comput. Phys. 181 (2010), pp. 1557-1561.
  
  You can download this paper as a .pdf file.
  
  
  
• O. Koch, C. Neuhauser, M. Thalhammer, Embedded Split-Step Formulae for the Time Integration of Nonlinear Evolution Equations, submitted to J. Sci. Comput..
  
  
  Other Publications
  
  
• O. Koch, P. Kofler, E. B. Weinmüller, Analysis of Singular Initial and Terminal Value Problems, Technical Report 125/99, Institute for Applied Mathematics and Numerical Analysis, Vienna University of Technology, Austria, 1999.
  
  You can view the abstract of this technical report or download the entire text as a .pdf file.
  
  
  
• W. Auzinger, O. Koch, P. Kofler, E. B. Weinmüller, The Application of Shooting to Singular Boundary Value Problems, Technical Report 126/99, Institute for Applied Mathematics and Numerical Analysis, Vienna University of Technology, Austria, 1999.
  
  You can view the abstract of this technical report or download the entire text as a .pdf file.
  
  
  
• O. Koch, E. B. Weinmüller, Acceleration Techniques for Singular Initial Value Problems, in: Problems in Modern Applied Mathematics (N. Mastorakis, ed.), World Scientific and Engineering Society Press, 2000, pp. 6-11.
  
  You can view the abstract of this paper or download the entire text as a .pdf file.
  
  
  
• W. Auzinger, O. Koch, P. Kofler, E. B. Weinmüller, Acceleration Techniques for Singular Initial Value Problems, Technical Report 129/00, Institute for Applied Mathematics and Numerical Analysis, Vienna University of Technology, Austria, 2000.
  
  You can view the abstract of this technical report or download the entire text as a .pdf file.
  
  
  
• W. Auzinger, O. Koch, W. Polster, E. B. Weinmüller, Ein Algorithmus zur Gittersteuerung bei Kollokationsverfahren für singuläre Randwertprobleme, Technical Report ANUM Preprint 21/01, Institute for Applied Mathematics and Numerical Analysis, Vienna University of Technology, Austria, 2001.
  
  You can download the entire text of this technical report as a .pdf file.
  
  
  
• W. Auzinger, G. Kneisl, O. Koch, W. Polster E. B. Weinmüller, Implementation of a Solution Routine for Singular Boundary Value Problems, in Seminarbericht S70 MATLAB/SIMULINK: Einsatz, Anwendungen, Entwicklungen. ARGESIM - Working Group Simulation News, 2001.
  
  You can view the abstract of this paper or download the entire text as a .pdf file.
  
  
  
• W. Auzinger, G. Kneisl, O. Koch, E. B. Weinmüller, A Solution Routine for Singular Boundary Value Problems, Technical Report ANUM Preprint 1/02, Institute for Applied Mathematics and Numerical Analysis, Vienna University of Technology, Austria, 2002.
  
  You can view the abstract of this technical report or download the entire text as a .pdf file.
  
  
  
• W. Auzinger, G. Kneisl, O. Koch, E. B. Weinmüller, SBVP 1.0 - A MATLAB Solver for Singular Boundary Value Problems, ANUM Preprint Nr. 2/02, Vienna University of Technology, Austria, 2002.
  
  You can download this manual as a .pdf file. The software described in this document is available here.
  
  
  
• W. Auzinger, O. Koch, S. Lammer, E. B. Weinmüller, Variationen der Defektkorrektur zur effizienten numerischen Lösung gewöhnlicher Differentialgleichungen, Technical Report ANUM Preprint 8/02, Institute for Applied Mathematics and Numerical Analysis, Vienna University of Technology, Austria, 2002.
  
  You can download the entire text of this technical report as a .pdf file.
  
  
  
• O. Koch, A. Paul, A. Traxler, E. B. Weinmüller, Efficient Numerical Solution of a Singular Initial Value Problem in Avalanche Modeling, Technical Report ANUM Preprint 11/02, Institute for Applied Mathematics and Numerical Analysis, Vienna University of Technology, Austria, 2002.
  
  You can view the abstract of this technical report or download the entire text as a .pdf file.
  
  
  
• W. Auzinger, O. Koch, J. Petrickovic, E. B. Weinmüller, Numerical Solution of Boundary Value Problems with an Essential Singularity, Technical Report ANUM Preprint 3/03, Institute for Applied Mathematics and Numerical Analysis, Vienna University of Technology, Austria, 2003.
  
  You can download the entire text as a .pdf file.
  
  
  
• H. Hofstätter, O. Koch, Splitting Defect Correction, Technical Report AURORA TR2003-23, Institute for Applied Mathematics and Numerical Analysis, Vienna University of Technology, Austria, 2003.
  
  You can download the entire text as a .pdf file.
  
  
  
• O. Koch, W. Kreuzer, A. Scrinzi, MCTDHF in Ultrafast Laser Dynamics, Technical Report AURORA TR2003-29, Institute for Applied Mathematics and Numerical Analysis, Vienna University of Technology, Austria, 2003.
  
  You can download the entire text as a .pdf file.
  
  
  
• H. Hofstätter, O. Koch, Defect Correction for Geometric Integrators, Proceedings of Aplimat 2004, pp. 465-470.
  
  You can view the abstract of this paper or download the entire text as a .pdf file.
  
  
  
• W. Auzinger, H. Hofstätter, O. Koch, W. Kreuzer, E. B. Weinmüller, Superconvergent Defect Correction Algorithms, WSEAS Transactions on Systems, 4(2004), pp. 1378-1383.
  
  You can view the abstract of this paper or download the entire text as a .pdf file.
  
  
  
• O. Koch, Numerical Solution of the Time-Dependent Schrödinger Equation in Ultrafast Laser Dynamics, WSEAS Trans. Math. 3(2004), pp. 584-590.
  
  You can view the abstract of this paper or download the entire text as a .pdf file.
  
  
  
• W. Auzinger, E. Karner, O. Koch, D. Praetorius, E. B. Weinmüller, Globale Fehlerschätzer für Randwertprobleme mit einer Singularität der zweiten Art, Technical Report ANUM Preprint 6/03, Institute for Applied Mathematics and Numerical Analysis, Vienna University of Technology, Austria, 2003.
  
  You can download the entire text as a .pdf file.
  
  
  
• C.J. Budd, O. Koch, E. B. Weinmüller, From the Nonlinear Schrödinger Equation to Singular BVPs, Technical Report AURORA TR2004-02, Institute for Analysis and Scientific Computing, Vienna University of Technology, Austria, 2004.
  
  You can download the entire text as a .pdf file.
  
  
  
• C.J. Budd, O. Koch, E. B. Weinmüller, Self-Similar Blow-Up in Nonlinear PDEs, Technical Report AURORA TR2004-15, Institute for Analysis and Scientific Computing, Vienna University of Technology, Austria, 2004.
  
  You can download the entire text as a .pdf file.
  
  
  
• H. Hofstätter, O. Koch, Convergence Proof for Iterated Splitting Defect Correction, Technical Report AURORA TR2004-05, Institute for Analysis and Scientific Computing, Vienna University of Technology, Austria, 2004.
  
  You can download the entire text as a .pdf file.
  
  
  
• W. Auzinger, O. Koch, D. Praetorius, G. Pulverer, E. B. Weinmüller, Performance of Collocation Software for Singular BVPs, Technical Report ANUM Preprint 4/04, Institute for Analysis and Scientific Computing, Vienna University of Technology, Austria, 2004.
  
  You can download the entire text as a .pdf file.
  
  
  
• G. Kitzhofer, O. Koch, E. B. Weinmüller, Kollokationsverfahren für singuläre Randwertprobleme zweiter Ordnung in impliziter Form, Technical Report ANUM Preprint 9/04, Institute for Analysis and Scientific Computing, Vienna University of Technology, Austria, 2004. Also available as AURORA TR2004-13.
  
  You can download the entire text as a .pdf file.
  
  
  
• W. Kreuzer, O. Koch, Performance of MCTDHF Implementations, Technical Report AURORA TR2004-14, Institute for Analysis and Scientific Computing, Vienna University of Technology, Austria, 2004.
  
  You can download the entire text as a .pdf file.
  
  
  
• G. Kitzhofer, O. Koch, E. B. Weinmüller, Collocation Methods for the Computation of Bubble-Type Solutions of a Singular BVP in Hydrodynamics, Technical Report ANUM Preprint 14/04, Institute for Analysis and Scientific Computing, Vienna University of Technology, Austria, 2004.
  
  You can download the entire text as a .pdf file.
  
  
  
• O. Koch, Approximation Methods in Multi-Particle Quantum Dynamics, poster presentation at Stipendiatenwochenende of the Austrian Academy of Sciences, March 31^st 2006.
  
  You can download the poster as a .pdf file.
  
  
  
• G. Kitzhofer, O. Koch, E. B. Weinmüller, Pathfollowing for Essentially Singular Boundary Value Problems with Application to the Complex Ginzburg-Landau Equation, ASC Report No. 19/07, Institute for Analysis and Scientific Computing, Vienna University of Technology, Austria, 2007.
  
  You can download the entire text as a .pdf file.
  
  
  
• O. Koch, R. März, D. Praetorius, and E. B. Weinmüller, Collocation for Solving DAEs with Singularities, ASC Report No. 32/2007, Institute for Analysis and Scientific Computing, Vienna University of Technology, Austria, 2007.
  
  You can download the entire text as a .pdf file.
  
  
  
• O. Koch, C. Lubich, Analysis and Time Integration of the Multi-Configuration Time-Dependent Hartree-Fock Equations in Electron Dynamics, ASC Report No. 04/2008, Institute for Analysis and Scientific Computing, Vienna University of Technology, Austria, 2008.
  
  You can download the entire text as a .pdf file.
  
  
  
• O. Koch, Approximation of the Meanfield Terms in MCTDHF Computations by H-Matrices, ASC Report No. 05/2008, Institute for Analysis and Scientific Computing, Vienna University of Technology, Austria, 2008.
  
  You can download the entire text as a .pdf file.
  
  
  
• O. Koch, C. Lubich, Time Propagation of the MCTDHF Equations in Electron Dynamics, poster presentation at the Second Workshop on High-Dimensional Quantum Dynamics, La Grande Motte, France, 2008.
  
  You can download the poster as a .pdf file.
  
  
  
• O. Koch, R. März, D. Praetorius, and E. B. Weinmüller, Collocation Methods for Index 1 DAEs with a Singularity of the First Kind, ASC Report No. 10/2008, Institute for Analysis and Scientific Computing, Vienna University of Technology, Austria, 2008.
  
  You can download this report as a .pdf file.
  
  
  
• J. Cash, G. Kitzhofer, O. Koch, G. Moore, and E. B. Weinmüller, Numerical Solution of Singular Two Point BVPs, ASC Report No. 22/2008, Institute for Analysis and Scientific Computing, Vienna University of Technology, Austria, 2008.
  
  You can download this report as a .pdf file.
  
  
  
• O. Koch, E. B. Weinmüller, Numerical Treatment of Singular BVPs: The New MATLAB Code bvpsuite, ASC Report No. 09/2009, Institute for Analysis and Scientific Computing, Vienna University of Technology, Austria, 2009.
  
  You can download this report as a .pdf file.
  
  
  
• G. Kitzhofer, O. Koch, G. Pulverer, Ch. Simon, and E. B. Weinmüller, bvpsuite: A New MATLAB Solver for Singular Implicit Boundary Value Problems, ASC Report No. 35/2009, Institute for Analysis and Scientific Computing, Vienna University of Technology, Austria, 2009.
  
  You can download this report as a .pdf file.
  
  
  Talks at International Conferences
  
  
• O. Koch, Analysis and Numerical Treatment of Singular Initial Value Problems, ANODE 98 - Auckland Numerical ODEs, Auckland, New Zealand, June/July 1998. Joint with P. Kofler and E. B. Weinmüller.
  
  You can view the abstract of this talk I gave on July 3^rd 1998.
  
  
  
• O. Koch, The Convergence of Shooting Methods for Singular Boundary Value Problems, 18^th Biennial Conference on Numerical Analysis, Dundee, Scotland, June/July 1999. Joint with E. B. Weinmüller.
  
  You can view the abstract of this talk I gave on June 29^th 1999.
  
  
  
• O. Koch, Acceleration Techniques for Singular Initial Value Problems, 4^th World Multi-Conference on Circuits, Systems, Communication and Computers, Athens, Greece, July 2000. Joint with E. B. Weinmüller.
  
  You can view the abstract of this invited talk I gave on July 11^th 2000.
  
  
  
• O. Koch, Efficient Collocation Schemes for Singular Boundary Value Problems, ANODE 2001 - Auckland Numerical ODEs, Auckland, New Zealand, January 2001. Joint with W. Auzinger and E. B. Weinmüller.
  
  You can view the abstract of this talk I gave on January 11^th 2001.
  
  
  
• O. Koch, A Collocation Solver for Singular Boundary Value Problems, SciCADE 2001 - International Conference on Scientific Computation and Differential Equations, Vancouver, Canada, July/August 2001. Joint with W. Auzinger, G. Kneisl and E. B. Weinmüller.
  
  You can view the abstract of this talk I gave on July 31 ^st 2001.
  
  
  
• O. Koch, Theory, Solution Techniques and Applications of Singular Boundary Value Problems for Ordinary Differential Equations, PPAM 2001 - 4^th International Conference on Parallel Processing and Applied Mathematics, Naleczow, Poland, September 2001. Joint with W. Auzinger and E. B. Weinmüller.
  
  You can view the abstract of this invited talk I gave on September 11^th 2001.
  
  
  
• O. Koch, Effiziente Lösung von Singulären Differentialgleichungen, 15. ÖMG-Kongress, Vienna, Austria, September 2001. Joint with W. Auzinger, and E. B. Weinmüller.
  
  You can view the abstract of this talk I gave on September 20^th 2001.
  
  
  
• O. Koch, New Variants of Defect Correction for Boundary Value Problems in ODEs, Part II, ICM 2002, Xi'an, China, August 2002. Joint with W. Auzinger and E. B. Weinmüller.
  
  You can view the abstract of this talk I gave on August 16^th 2002.
  
  
  
• O. Koch, A Posteriori Error Estimation for Collocation Methods Applied to Singular Boundary Value Problems, Part II, SciCADE 2003 - International Conference on Scientific Computation and Differential Equations, Trondheim, Norway, June/July 2003. Joint with E. B. Weinmüller.
  
  You can view the abstract of this talk I gave on July 3^rd 2003.
  
  
  
• O. Koch, Asymptotically Correct Error Estimation for Collocation Methods Applied to Singular Boundary Value Problems, ANODE 2003 - Auckland Numerical ODEs, Auckland, New Zealand, July 2003.
  
  You can view the abstract of this talk I gave on July 18^th 2003.
  
  
  
• O. Koch, Modeling Ambulance Service of the Austrian Red Cross, Winter Simulation Conference 2003, New Orleans, USA, December 2003. Joint with H. Weigl.
  
  
  
• O. Koch, Computation of Self-Similar Solution Profiles for the Nonlinear Schrödinger Equation, ICCAM 2004, Leuven, Belgium, July 2004. Joint with C.J. Budd and E. B. Weinmüller.
  
  You can view the abstract of this talk here.
  
  
  
• O. Koch, Numerical Solution of the Time-Dependent Schrödinger Equation in Ultrafast Laser Dynamics, NAA'04, Corfu, Greece, August 2004.
  
  
  
• O. Koch, Software for Singular Boundary Value Problems, International Workshop on Analysis and Numerical Approximation of Singular Problems, Lisbon, Portugal, November 2004. Joint with W. Auzinger and E. B. Weinmüller.
  
  You can view the abstract of this talk here.
  
  
  
• O. Koch, Pathfollowing for Multi-Bump Solutions of the Complex Ginzburg-Landau Equation, SciCADE 2005 - International Conference on Scientific Computation and Differential Equations, Nagoya, Japan, May 2005. Joint with G. Kitzhofer and E. B. Weinmüller.
  
  You can view the abstract of this talk here.
  
  
  
• O. Koch, Analytical and Numerical Treatment of the MCTDHF Approximation to the Time-Dependent Schrödinger Equation, Conference on Differential and Difference Equations, Gdansk, Poland, August 2005.
  
  
  
• O. Koch, Theory and Computation of the MCTDHF Approximation for the Time-Dependent Schrödinger Equation, 3rd Austrian NA Day, Vienna, Austria, April 2007.
  
  
  
• O. Koch, Numerical Solution of Singular Boundary Value Problems in Ordinary Differential Equations, 1st Austrian-Mongolian Mathematics Day, Vienna University of Technology, Vienna, Austria, October 2007. Joint with W. Auzinger and E. B. Weinmüller.
  
  
  
• O. Koch, Analysis and Numerical Approximation of the Multi-Configuration Time-Dependent Hartree-Fock Equations, 24th GAMM Seminar Leipzig on Tensor Approximations, Leipzig, Germany, January 2008. Joint with C. Lubich.
  
  You can view the abstract of this talk here.
  
  
  
• O. Koch, Variational Approximations in Linear Algebra and Quantum Dynamics, 79th Annual GAMM Conference, Bremen, Germany, April 2008. Joint with C. Lubich.
  
  You can view the abstract of this talk here.
  
  
  
• O. Koch, Time Integration of the Multi-Configuration Time-Dependent Hartree-Fock Equations, 4th Austrian NA Day, Linz, Austria, April 2008. Joint with C. Lubich.
  
  You can view the abstract of this talk here.
  
  
  
• O. Koch, Dynamical Low Rank Approximation of Tensors, ICCAM 2008 13th International Congress on Computational and Applied Mathematics, Ghent, Belgium, July 2008. Joint with C. Lubich.
  
  You can view the abstract of this talk here.
  
  
  
• O. Koch, Mathematical and Numerical Analysis of the MCTDH Equations in Quantum Dynamics, Numerical Methods in Density Functional Theory, Berlin, Germany, July 2008. Joint with C. Lubich.
  
  You can view the abstract of this invited keynote lecture here.
  
  
  
• O. Koch, Splitting Methods for the Multi-Configuration Time-Dependent Hartree-Fock Equations, SDIDE - Stability and Discretization Issues in Differential Equations, Vienna, Austria, September 2008. Joint with C. Lubich.
  
  You can view the abstract of this talk here.
  
  
  
• O. Koch, The Variational Splitting Method for the Multi-Configuration Time-Dependent Hartree-Fock Equations, Splitting Methods in Time Integration, Innsbruck, Austria, October 2008. Joint with C. Lubich.
  
  You can view the abstract of this talk here.
  
  
  
• O. Koch, Numerical Computation of the Multi-Particle Time-Dependent Schrödinger Equation, International Workshop on Semiconductor Devices: Analysis, Simulations, Applications, Beijing, China, April 2009. Joint with C. Lubich.
  
  You can view the abstract of this invited talk here.
  
  
  
• O. Koch, Dynamical Low Rank Approximation for Higher-Order Tensors, 5th Austrian Numerical Analysis Day, Innsbruck, Austria, May 2009. Joint with C. Lubich.
  
  You can view the abstract of this talk here.
  
  
  
• O. Koch, Split-Step Time Propagation of the Multi-Configuration Time-Dependent Hartree-Fock Equations for Atoms, 24th Biennial Conference on Numerical Analysis, Glasgow, U.K., June 2009. Joint with C. Lubich.
  
  You can view the abstract of this talk here.
  
  
  
• O. Koch, Analysis of a Dynamical Low Rank Approximation for Tensors, ENUMATH 2009, Uppsala, Sweden, July 2009. Joint with C. Lubich.
  
  You can view the abstract of this talk here.
  
  
  
• O. Koch, Variational Approximations in Quantum Dynamics and Multilinear Algebra, ÖMG Congress/ DMV Conference 2009, Graz, Austria, September 2009. Joint with C. Lubich.
  
  You can view the abstract of this talk here.
  
  
  Invited Colloquium Talks
  
  
• O. Koch, Numerische Lösung von singulären Differentialgleichungen, University of Tübingen, Germany, June 2004.
  
  
  
• O. Koch, The Time-Dependent Multi-Particle Schrödinger Equation and Dynamical Low Rank Approximation, Humboldt University Berlin, Germany, November 2005.
  
  
  
• O. Koch, MCTDHF: A Model Reduction Technique for Computational Quantum Dynamics, Vienna University of Technology, Austria, March 2006.
  
  
  
• O. Koch, Numerical Treatment of the Multi-Particle Time-Dependent Schrödinger Equation, Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany, June 2007.
  
  
  
• O. Koch, Acceleration Techniques Adapted for Geometric Integrators, University of Tübingen, Germany, June 2007. Joint with H. Hofstätter.
  
  
  
• O. Koch, Numerical Integration of Nonlinear Schrödinger Equations, Wissenswertes aus der Mathematik, Vienna University of Technology, Austria, May 2008.
  
  
  
• O. Koch, Dynamical Low Rank Approximation of Matrices and Tensors, Jacobs University Bremen, Germany, September 2008.
  
  
  
• O. Koch, Analysis of a Defect Correction Method for Geometric Integrators, Innsbruck University, Austria, August 2009.
  
  
  
• O. Koch, Dynamical Tensor Approximation and Quantum Dynamics, Innsbruck University, Austria, October 2009.
  
  
  Appointment-Related Talks
  
  
• O. Koch, The MCTDHF Approximation to the Time-Dependent Schrödinger Equation, University of Birmingham, U.K., August 2005.
  
  
  
• O. Koch, A Model Reduction Technique for the Time-Dependent Schrödinger Equation, University of Strathclyde, Glasgow, U.K., October 2005.
  
  
  
• O. Koch, Variational Approximations in Quantum Dynamics and in Linear Algebra, Heriot-Watt University Edinburgh, U.K., January 2006.
  
  
  
• O. Koch, Numerical Computation of Electron Dynamics, Durham University, U.K., February 2006.
  
  
  
• O. Koch, Dynamical Tensor Approximation and Quantum Dynamics, University of Bonn, Germany, October 2009.
  
  
  Co-Authored Talks
  
  
• P. Kofler, The Application of Shooting to Singular Boundary Value Problems, 18^th 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 29^th 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 12^th 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 60^th 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 1^st 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 16^th 2002.
  
  
  
• E. B. Weinmüller, The Numerical Solution of Boundary Value Problems with an Essential Singularity, 4^th 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 3^rd 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, 5^th 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.

page written by Othmar Koch. last modification: Sat Jan 2 11:00 MET 2010