Wissenschaftliche Artikel

Hofstätter, H., & Koch, O. (2022). An approximate eigensolver for self-consistent field calculations. Numerical Algorithms, 66, 609–641. https://doi.org/10.1007/s11075-013-9751-6 ( reposiTUm)
Auzinger, W., Dubois, J., Held, K., Hofstätter, H., Jawecki, T., Kauch, A., Koch, O., Kropielnicka, K., Singh, P., & Watzenböck, C. (2022). Efficient Magnus-type integrators for solar energy conversion in Hubbard models. Journal of Computational Mathematics and Data Science, 2(100018), 100018. https://doi.org/10.1016/j.jcmds.2021.100018 ( reposiTUm)
Auzinger, W., Burdeos, K., Fallahpour, M., Koch, O., Mendoza, R., & Weinmüller, E. (2022). A numerical continuation method for parameter-dependent boundary value problems using bvpsuite 2.0. Journal of Numerical Analysis, Industrial and Applied Mechanics (JNAIAM), 16(1–2), 1–13. http://hdl.handle.net/20.500.12708/136895 ( reposiTUm)
Auzinger, W., Hofstätter, H., Koch, O., & Quell, M. (2021). Adaptive Time Propagation for Time-Dependent Schrödinger Equations. International Journal of Applied and Computational Mathematics, 7, Article 6. https://doi.org/10.1007/s40819-020-00937-9 ( reposiTUm)
Wanzenböck, R., Donsa, S., Hofstätter, H., Koch, O., Schlagheck, P., & Březinová, I. (2021). Chaos-induced loss of coherence of a Bose-Einstein condensate. Physical Review A, 103(023336). https://doi.org/10.1103/physreva.103.023336 ( reposiTUm)
Auzinger, W., Březinová, I., Grosz, A., Hofstätter, H., Koch, O., & Sato, T. (2021). Efficient adaptive exponential time integrators for nonlinear Schrödinger equations with nonlocal potential. Journal of Computational Mathematics and Data Science, 1(100014), 100014. https://doi.org/10.1016/j.jcmds.2021.100014 ( reposiTUm)
Amodio, P., Budd, C. J., Koch, O., Rottschäfer, V., Settanni, G., & Weinmüller, E. (2020). Near critical, self-similar, blow-up solutions of the generalised Korteweg-de Vries equation: asymptotics and computations. Physica D: Nonlinear Phenomena, 401(132179), 132179. https://doi.org/10.1016/j.physd.2019.132179 ( reposiTUm)
Jawecki, T., Auzinger, W., & Koch, O. (2020). Computable upper error bounds for Krylov approximations to matrix exponentials and associated phi-functions. BIT Numerical Mathematics, 60(1), 157–197. https://doi.org/10.1007/s10543-019-00771-6 ( reposiTUm)
Auzinger, W., Hofstätter, H., & Koch, O. (2019). Non-existence of generalized splitting methods with positive coefficients of order higher than four. Applied Mathematics Letters, 97, 48–52. https://doi.org/10.1016/j.aml.2019.05.017 ( reposiTUm)
Auzinger, W., Hofstätter, H., & Koch, O. (2019). Symmetrized local error estimators for time-reversible one-step methods in nonlinear evolution equations. Journal of Computational and Applied Mathematics, 356, 339–357. https://doi.org/10.1016/j.cam.2019.02.011 ( reposiTUm)
Auzinger, W., Hofstätter, H., Koch, O., Kropielnicka, K., & Singh, P. (2019). Time adaptive Zassenhaus splittings for the Schrödinger equation in the semiclassical regime. Applied Mathematics and Computation, 362, Article 124550. https://doi.org/10.1016/j.amc.2019.06.064 ( reposiTUm)
Auzinger, W., Březinová, I., Hofstätter, H., Koch, O., & Quell, M. (2019). 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. Computer Physics Communications, 234, 55–71. https://doi.org/10.1016/j.cpc.2018.08.003 ( reposiTUm)
Auzinger, W., Hofstätter, H., Koch, O., Quell, M., & Thalhammer, M. (2019). A Posteriori Error Estimation for Magnus-Type Integrators. ESAIM: Mathematical Modelling and Numerical Analysis, 53(1), 197–218. https://doi.org/10.1051/m2an/2018050 ( reposiTUm)
Auzinger, W., & Koch, O. (2018). An improved local error estimator for symmetric time-stepping schemes. Applied Mathematics Letters, 82, 106–110. https://doi.org/10.1016/j.aml.2018.03.001 ( reposiTUm)
Budd, C., Koch, O., Taghizadeh, L., & Weinmüller, E. (2018). Asymptotic properties of the space-time adaptive numerical solution of a nonlinear heat equation. Calcolo, 55(43). https://doi.org/10.1007/s10092-018-0286-z ( reposiTUm)
Auzinger, W., Koch, O., & Quell, M. (2017). Adaptive high-order splitting methods for systems of nonlinear evolution equations with periodic boundary conditions. Numerical Algorithms. https://doi.org/10.1007/s11075-016-0206-8 ( reposiTUm)
Donsa, S., Hofstätter, H., Koch, O., Burgdörfer, J., & Březinová, I. (2017). Long-time expansion of a Bose-Einstein condensate: Observability of Anderson localization. Physical Review A, 96(043630). https://doi.org/10.1103/physreva.96.043630 ( reposiTUm)
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., Hofstätter, H., Ketcheson, D., & Koch, O. (2017). Practical splitting methods for the adaptive integration of nonlinear evolution equations. Part I: Construction of optimized schemes and pairs of schemes. BIT Numerical Mathematics. https://doi.org/10.1007/s10543-016-0626-9 ( 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)
Amodio, P., Budd, C. J., Koch, O., Settanni, G., & Weinmüller, E. (2014). Asymptotical computations for a model of flow in saturated porous media. Applied Mathematics and Computation, 237, 155–167. https://doi.org/10.1016/j.amc.2014.03.063 ( reposiTUm)
Dick, A., Koch, O., März, R., & Weinmüller, E. (2013). Convergence of Collocation Schemes for Nonlinear Index 1 DAEs with a Singular Point. Mathematics of Computation, 82(282), 893–918. https://doi.org/10.1090/s0025-5718-2012-02637-8 ( 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)
Kupka, F., Happenhofer, N., Higueras, I., & Koch, O. (2012). Total-variation-diminishing implicit-explicit Runge-Kutta methods for the simulation of double-diffusive convection in astrophysics. Journal of Computational Physics, 231(9), 3561–3586. https://doi.org/10.1016/j.jcp.2011.12.031 ( reposiTUm)
Blaha, P., Hofstätter, H., Koch, O., Laskowski, R., & Schwarz, K. (2010). Iterative diagonalization in augmented plane wave based methods in electronic structure calculations. Journal of Computational Physics, 229, 453–460. http://hdl.handle.net/20.500.12708/165945 ( reposiTUm)
Hammerling, R., Koch, O., Simon, C., & Weinmüller, E. B. (2010). Numerical Solution of Singular ODE Eigenvalue Problems in Electronic Structure Computations. Journal of Computational Physics, 181(9), 1557–1561. https://doi.org/10.1016/j.cpc.2010.05.006 ( reposiTUm)
Koch, O., Ede, C., Jordan, G., & Scrinzi, A. (2010). Hierarchical Matrices in Computations of Electron Dynamics. Journal of Scientific Computing, 42(3), 447–455. https://doi.org/10.1007/s10915-009-9330-0 ( reposiTUm)
Koch, O., März, R., Praetorius, D., & Weinmüller, E. (2010). Collocation Methods for Index 1 DAEs with a Singularity of the First Kind. Mathematics of Computation, 79(269), 281–281. https://doi.org/10.1090/s0025-5718-09-02267-4 ( reposiTUm)
Kitzhofer, G., Koch, O., & Weinmüller, E. (2009). Pathfollowing for Essentially Singular Boundary Value Problems with Application to the Complex Ginzburg-Landau Equations. BIT Numerical Mathematics, 49, 141–160. http://hdl.handle.net/20.500.12708/165252 ( reposiTUm)
Cash, J., Kitzhofer, G., Koch, O., Moore, G., & Weinmüller, E. (2009). Numerical Solution of Singular Two Point BVPs. Journal of Numerical Analysis, Industrial and Applied Mechanics (JNAIAM), 4, 129–149. http://hdl.handle.net/20.500.12708/166114 ( reposiTUm)
Koch, O., & Lubich, C. (2007). Regularity of the Multi-Configuration Time-Dependent Hartree Approximation in Quantum Molecular Dynamics. ESAIM: Mathematical Modelling and Numerical Analysis, 41, 315–331. http://hdl.handle.net/20.500.12708/168673 ( reposiTUm)
Rachunkova, I., Koch, O., Pulverer, G., & Weinmüller, E. (2007). On a Singular Boundary Value Problem Arising in the Theory of Shallow Membrane Caps. Journal of Mathematical Analysis and Applications, 332, 523–541. http://hdl.handle.net/20.500.12708/168682 ( reposiTUm)
Koch, O., & Lubich, C. (2007). Dynamical Low Rank Approximation. SIAM Journal on Matrix Analysis and Applications, 29, 434–454. http://hdl.handle.net/20.500.12708/168676 ( reposiTUm)
Kitzhofer, G., Koch, O., Lima, P., & Weinmüller, E. (2007). Efficient Numerical Solution of the Density Profile Equation in Hydrodynamics. Journal of Scientific Computing, 32(3), 411–424. https://doi.org/10.1007/s10915-007-9141-0 ( reposiTUm)
Hofstätter, H., & Koch, O. (2006). Analysis of a Defect Correction Method for Geometric Integrators. Numerical Algorithms, 41, 103–126. http://hdl.handle.net/20.500.12708/171865 ( reposiTUm)
Koch, O., Kreuzer, W., & Scrinzi, A. (2006). Approximation of the time-dependent electronic Schrödinger equation by MCTDHF. Applied Mathematics and Computation, 173(2), 960–976. http://hdl.handle.net/20.500.12708/171778 ( reposiTUm)
Budd, Ch., Koch, O., & Weinmüller, E. (2006). Computation of Self-Similar Solution Profiles for the Nonlinear Schrödinger Equation. Computing, 77, 335–346. http://hdl.handle.net/20.500.12708/171837 ( reposiTUm)
Budd, Ch., Koch, O., & Weinmüller, E. (2006). From Nonlinear PDEs to Singular ODEs. Applied Numerical Mathematics, 56, 413–422. http://hdl.handle.net/20.500.12708/171838 ( reposiTUm)
Auzinger, W., Karner, E., Koch, O., & Weinmüller, E. (2006). Collocation Methods for the Solution of Eigenvalue Problems for Singular Ordinary Differential Equations. Opuscula Mathematica, 26(2), 229–241. http://hdl.handle.net/20.500.12708/171881 ( reposiTUm)
Koch, O. (2006). Efficient Computation of the MCTDHF Approximation to the Time-Dependent Schrödinger Equation. Opuscula Mathematica, 26(3), 473–487. http://hdl.handle.net/20.500.12708/172094 ( reposiTUm)
Caillat, J., Zanghellini, J., Kitzler, M., Koch, O., Kreuzer, W., & Scrinzi, A. (2005). Correlated multielectron systems in strong laser fields: A multiconfiguration time-dependent Hartree-Fock approach. Physical Review A, 71(012712). http://hdl.handle.net/20.500.12708/171556 ( reposiTUm)
Auzinger, W., Koch, O., & Weinmüller, E. (2005). Analysis of a New Error Estimate for Collocation Methods Applied to Singular Boundary Value Problems. SIAM Journal on Numerical Analysis, 42(6), 2366–2386. https://doi.org/10.1137/s0036142902418928 ( reposiTUm)
Auzinger, W., Koch, O., Praetorius, D., & Weinmüller, E. (2005). New A-Posteriori Error Estimates for Singular Boundary Value Problems. Numerical Algorithms, 40(1), 79–100. https://doi.org/10.1007/s11075-005-3791-5 ( reposiTUm)
Koch, O. (2005). Asymptotically Correct Error Estimation for Collocation Methods Applied to Singular Boundary Value Problems. Numerische Mathematik, 101, 143–164. http://hdl.handle.net/20.500.12708/171864 ( reposiTUm)
Auzinger, W., Koch, O., & Weinmüller, E. (2005). Efficient Mesh Selection for Collocation Methods Applied to Singular BVPs. Journal of Computational and Applied Mathematics, 180(1), 213–227. https://doi.org/10.1016/j.cam.2004.10.013 ( reposiTUm)

Beiträge in Tagungsbänden

Auzinger, W., Burdeos, K. N., Fallahpour, M., Koch, O., Mendoza, R., & Weinmüller, E. (2024). A Gauss-Newton continuation method for parameter-dependent boundary value problems using bvpsuite 2.0. In AIP Conference Proceedings Vol 3094 (p. 220009). https://doi.org/10.1063/5.0210220 ( reposiTUm)
Auzinger, W., Jawecki, T., Koch, O., Pukach, P., Stolyarchuk, R., & Weinmüller, E. (2021). Some Aspects on [numerical] Stability of Evolution Equations of Stiff Type; Use of Computer Algebra. In 2021 IEEE XVIIth International Conference on the Perspective Technologies and Methods in MEMS Design (MEMSTECH). MEMSTECH 2021, Polyana, Ukraine. IEEE Ukraine Section. https://doi.org/10.1109/memstech53091.2021.9468055 ( reposiTUm)
Auzinger, W., Grosz, A., Hofstätter, H., & Koch, O. (2020). Adaptive Exponential Integrators for MCTDHF. In I. Lirkov & S. Margenov (Eds.), Large-Scale Scientific Computing (pp. 557–565). Springer Lecture Notes in Computer Science (LNCS). https://doi.org/10.1007/978-3-030-41032-2_64 ( reposiTUm)
Auzinger, W., Hofstätter, H., & Koch, O. (2019). An algorithm for computing coefficients of words in expressions envolving exponentials and its application to the construction of exponential integrators. In Computer Algebra in Scientific Computing (pp. 197–214). Springer Lecture Notes in Computer Science (LNCS). http://hdl.handle.net/20.500.12708/41687 ( reposiTUm)
Donsa, S., Hofstätter, H., Koch, O., Burgdörfer, J., & Brezinova, I. (2018). Long-time expansion of a Bose-Einstein condensate: Does the interacting many-particle system show Anderson localization? In Bulletin of the American Physical Society (p. 173). http://hdl.handle.net/20.500.12708/44949 ( reposiTUm)
Auzinger, W., Hofstätter, H., Koch, O., & Thalhammer, M. (2017). Reduced order of the local error of splitting for parabolic problems. In AIP Conference Proceedings. 14th International Conference on Numerical Analysis and Applied Mathematics (ICNAAM 2016), Rhodos, Greece. AIP Conference Proceedings. https://doi.org/10.1063/1.4992342 ( reposiTUm)
Donsa, S., Hofstätter, H., Koch, O., Burgdörfer, J., & Brezinova, I. (2016). Anderson localization of a one-dimensional Bose-Einstein condensate after long-time expansion. In Proccedings VSS 2016 (pp. 114–115). Book-of-Abstracts.com. http://hdl.handle.net/20.500.12708/44873 ( reposiTUm)
Donsa, S., Hofstätter, H., Koch, O., Burgdörfer, J., & Brezinova, I. (2016). Anderson localization of a one-dimensional Bose-Einstein condensate after long-time expansion. In Extended Abstracts ECAMP 2016 (p. 468). http://hdl.handle.net/20.500.12708/44876 ( 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)
Donsa, S., Hofstätter, H., Koch, O., Burgdörfer, J., & Brezinova, I. (2016). Fate of Anderson localization of a one-dimensional Bose-Einstein condensate. In Book of Abstracts ICAP 2016 (p. 292). http://hdl.handle.net/20.500.12708/44874 ( 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)
Dick, A., Koch, O., März, R., & Weinmüller, E. (2011). Collocation Schemes for Nonlinear Index 1 DAEs with a Singular Point. In AIP Conference Proceedings. ICNAAM 2011, Halkidiki, EU. AIP Conference Proceedings. https://doi.org/10.1063/1.3636712 ( reposiTUm)
Hammerling, R., Koch, O., Simon, C., & Weinmüller, E. (2010). Numerical Treatment of Singular ODE EVPs Using bvpsuite. In Proceedings of ICNAAM 2010 (pp. 255–258). American Institute of Physics. http://hdl.handle.net/20.500.12708/40984 ( reposiTUm)
Kitzhofer, G., Koch, O., & Weinmüller, E. (2009). Numerical Treatment of Singular BVPs: The New MATLAB Code bvpsuite. In AIP Conference Proceedings. 7th International Conference on Numerical Analysis and Applied Mathematics (ICNAAM 2009), Rethymno, Kreta, Griechenland, EU. AIP Conference Proceedings. https://doi.org/10.1063/1.3241484 ( reposiTUm)
Koch, O., März, R., Praetorius, D., & Weinmüller, E. (2006). Collocation Methods for Index-1 DAEs with a critical point. In Differential-Algebraic Equations (pp. 81–84). Report. http://hdl.handle.net/20.500.12708/40647 ( reposiTUm)
Koch, O., & Weigl, H. (2003). Modeling Ambulance Service of the Austrian Red Cross. In S. Chick (Ed.), Proceedings of the 2003 Winter Simulation Conference (pp. 701–706). Omnipress. http://hdl.handle.net/20.500.12708/40564 ( reposiTUm)
Auzinger, W., Kneisl, G., Koch, O., Polster, W., & Weinmüller, E. (2001). Implementation of a Solution Routine for Singular Boundary Value Problems. In Seminarunterlagen MATLAB/SIMULINK (pp. 1–10). http://hdl.handle.net/20.500.12708/40565 ( reposiTUm)

Beiträge in Büchern

Auzinger, W., Herfort, W., Koch, O., & Thalhammer, M. (2017). The BCH-formula and order conditions for splitting methods. In G. Falcone (Ed.), Lie Groups, Differential Equations, and Geometry (pp. 71–83). Springer. http://hdl.handle.net/20.500.12708/29493 ( reposiTUm)

Präsentationen

Auzinger, W., Held, K., Kauch, A., Watzenböck, C., & Koch, O. (2022). Adaptive Magnus-type integrators for the simulation of solar cells. Austrian Numerical Analysis Day 2022, Linz, Austria. http://hdl.handle.net/20.500.12708/123529 ( reposiTUm)
Auzinger, W., Grosz, A., Hofstätter, H., & Koch, O. (2022). Adaptive Time Propagation of the MCTDHF Equations. SDIDE 2022 - 6th Workshop on Stability and Discretization Issues in Differential Equations, Budapest, Hungary. http://hdl.handle.net/20.500.12708/123533 ( reposiTUm)
Auzinger, W., & Koch, O. (2022, July 7). Adaptive exponential splitting [Conference Presentation]. FAATNA20>22: Functional Analysis, Approximation Theory and Numerical Analysis, Matera, Italy. http://hdl.handle.net/20.500.12708/80240 ( reposiTUm)
Auzinger, W., Hofstätter, H., Koch, O., Kropielnicka, K., & Singh, P. (2019). Time adaptive Zassenhaus splittings for the Schrödinger equation in the semiclassical regime. ParNum 2019, Dubrovnik, Croatia. http://hdl.handle.net/20.500.12708/122838 ( reposiTUm)
Auzinger, W., Grosz, A., Hofstätter, H., & Koch, O. (2019). Efficient adaptive time integrators for high-dimensional Schrödinger equations. Workshop on Numerical Solution of Integral and Differential Equations (NSIDE 2019), Gdansk, Poland. http://hdl.handle.net/20.500.12708/122768 ( reposiTUm)
Auzinger, W., Hofstätter, H., & Koch, O. (2019). Precise local error control for symmetric one-step schemes applied to nonlinear evolution equations. SciCADE 2019, International Conference on Scientific Computation and Differential Equations, Innsbruck, Austria. http://hdl.handle.net/20.500.12708/122773 ( reposiTUm)
Auzinger, W., Jawecki, T., & Koch, O. (2019). Computable upper error bounds for Krylov subspace approximations to matrix exponentials. SciCADE 2019, International Conference on Scientific Computation and Differential Equations, Innsbruck, Austria. http://hdl.handle.net/20.500.12708/122774 ( reposiTUm)
Auzinger, W., Hofstätter, H., Jawecki, T., Koch, O., Kropielnicka, K., & Singh, P. (2019). Adaptive exponential methods. SciCADE 2019, International Conference on Scientific Computation and Differential Equations, Innsbruck, Austria. http://hdl.handle.net/20.500.12708/122775 ( reposiTUm)
Weinmüller, E., Budd, Ch., Koch, O., & Rottschäfer, V. (2019). Blow-up in the generalized Korteweg-de Vries equation. 1st PUC-Bath Workshop on Nonlinear PDEs and Application, Santiago de Chile, Chile. http://hdl.handle.net/20.500.12708/122967 ( reposiTUm)
Weinmüller, E., Budd, Ch., Koch, O., & Rottschäfer, V. (2019). Things that go bang in the night: Short history of blow-up and how to compute it. Tutorial Workshop Geometry, Compatibility and Structure Preservation in computational differential equations, Isaak Newton Institute, Cambridge, United Kingdom of Great Britain and Northern Ireland (the). http://hdl.handle.net/20.500.12708/122964 ( reposiTUm)
Wanzenböck, R., Donsa, S., Hofstätter, H., Koch, O., Burgdörfer, J., Schlagheck, P., & Brezinova, I. (2019). Expansion of an interacting Bose-Einstein condensate in disorder: Fate of Anderson localization and the condensate state. 13th European Conference on Atoms, Molecules and Photons (ECAMP13), Florenz, Italy. http://hdl.handle.net/20.500.12708/134647 ( reposiTUm)
Auzinger, W., Koch, O., & Jawecki, T. (2018). A computable strict upper bound for Krylov subspace approximations to the exponential of skew-Hermitian matrices. 14th Austrian Numerical Analysis Day, Klagenfurt, Austria. http://hdl.handle.net/20.500.12708/122361 ( reposiTUm)
Auzinger, W., Koch, O., & Hofstätter, H. (2018). Adaptive exponential Lawson methods for nonlinear Schrödinger equations. 14th Austrian Numerical Analysis Day, Klagenfurt, Austria. http://hdl.handle.net/20.500.12708/122362 ( reposiTUm)
Donsa, S., Wanzenböck, R., Hofstätter, H., Koch, O., Burgdörfer, J., Schlagheck, P., & Brezinova, I. (2018). Expanding Bose-Einstein condensate in disorder: Role of many-body interactions for Anderson localization. Research Frontiers in Ultracold Quantum Gases. 685. WE-Heraus Seminar, Bad Honnef, Germany. http://hdl.handle.net/20.500.12708/134485 ( reposiTUm)
Auzinger, W., Hofstätter, H., & Koch, O. (2018). Error estimation via symmetrized defect for time-reversible one-step schemes applied to linear and nonlinear evolution equations. 8th International Conference Computational Methods in Applied Mathematics: CMAM-8, Minsk, Belarus. http://hdl.handle.net/20.500.12708/122387 ( reposiTUm)
Auzinger, W., Jawecki, T., & Koch, O. (2018). A computable strict upper bound for Krylov subspace approximations to the exponential of skew-Hermitian matrices. Modern Numerical Methods for Quantum Dynamics II, Danzig, Poland. http://hdl.handle.net/20.500.12708/122386 ( reposiTUm)
Auzinger, W., Hofstätter, H., & Koch, O. (2018). Sharp local error estimation for time-reversible one-step schemes. Modern Numerical Methods for Quantum Dynamics II, Danzig, Poland. http://hdl.handle.net/20.500.12708/122385 ( reposiTUm)
Auzinger, W., Hofstätter, H., Jawecki, T., Koch, O., Quell, M., & Thalhammer, M. (2018). Adaptive Magnus-Type Integrators for the Simulation of Solar Cells. ICNAAM 2018 - 16th International Conference on Numerical Analysis and Applied Mathematics, Rhodos, Greece. http://hdl.handle.net/20.500.12708/122359 ( reposiTUm)
Brezinova, I., Donsa, S., Hofstätter, H., Koch, O., & Burgdörfer, J. (2017). Expansion of Bose-Einstein condensates in disorder: Anderson localization and wave chaos. International Workshop on Quantum-Classical Transition in Many-Body Systems, Dresden, Germany. http://hdl.handle.net/20.500.12708/133330 ( reposiTUm)
Koch, O., Auzinger, W., Brezinova, I., Hofstätter, H., & Thalhammer, M. (2017). Adaptive exponential splitting and Lawson methods for Schrödinger equations. SciCADE 2017 - International Conference on Scientific Computation and Differential Equations, Bath, United Kingdom of Great Britain and Northern Ireland (the). http://hdl.handle.net/20.500.12708/121352 ( reposiTUm)
Auzinger, W., Hofstätter, H., Koch, O., Quell, M., & Thalhammer, M. (2017). Adaptive integration of large linear systems of Schrödinger type with time-dependent coefficients using Magnus-type methods. DEMPhA-2017 - International Conferenсe on Differential Equations, Mathematical Physics and Applications, Cherkasy, Ukraine. http://hdl.handle.net/20.500.12708/122030 ( reposiTUm)
Auzinger, W., Hofstätter, H., Koch, O., Quell, M., & Thalhammer, M. (2017). Adaptive Integrators for Schrödinger-Type Equations. Workshop on modern numerical methods in quantum dynamics, Warschau, Poland. http://hdl.handle.net/20.500.12708/121846 ( reposiTUm)
Auzinger, W., Kassebacher, T., Koch, O., & Thalhammer, M. (2017). Adaptive time-splitting FEM discretization of the Schrödinger-Poisson equation. Workshop on modern numerical methods in quantum dynamics, Warschau, Poland. http://hdl.handle.net/20.500.12708/121847 ( reposiTUm)
Auzinger, W., Hofstätter, H., Koch, O., & Thalhammer, M. (2016). Error analysis of splitting methods for parabolic problems under Dirichlet boundary conditions. 9th NAI Workshop on Numerical Analysis of Evolution Equations, Innsbruck, Austria. http://hdl.handle.net/20.500.12708/121566 ( 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., 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., & Koch, O. (2016). Sharp a posteriori error estimation for symmetric one-step integrators. International Conference on Modern Problems of Mechanics and Mathematics, Lviw, Ukraine. http://hdl.handle.net/20.500.12708/122371 ( 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., 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., 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)
Hofstätter, H., & Koch, O. (2013). An Approximate Eigensolver for Self-Consistent Field Calculations. 9th Austrian Numerical Analysis Day, Graz, Austria. http://hdl.handle.net/20.500.12708/120542 ( 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)
Koch, O., Auzinger, W., Hofstätter, H., & Thalhammer, M. (2013). Adaptive High-order Splitting Methods for Schrödinger Equations. SDIDE 2013 - 4th Workshop Stability and Discretization Issues in Differential Equations, Pamplona, EU. http://hdl.handle.net/20.500.12708/120543 ( reposiTUm)
Hofstätter, H., Auzinger, W., Koch, O., & Thalhammer, M. (2013). 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 Numerical Analysis Day, Graz, Austria. http://hdl.handle.net/20.500.12708/120544 ( 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)
Koch, O. (2012). Approximation of High-Dimensional Quantum Dynamics. Berufungsvortrag, Vienna, Austria, Austria. http://hdl.handle.net/20.500.12708/120204 ( reposiTUm)
Koch, O. (2012). Adaptive Full Discretization of Nonlinear Schrödinger Equations. Berufungsvortrag W3 Hannover, Universität Hannover, EU. http://hdl.handle.net/20.500.12708/120206 ( reposiTUm)
Koch, O. (2012). Adaptive Full Discretization of Nonlinear Schrödinger Equations. Berufungsvortrag W3 Köln, Universität Köln, EU. http://hdl.handle.net/20.500.12708/120205 ( reposiTUm)
Weinmüller, E., Dick, A., Koch, O., & März, R. (2012). Collocation for Nonlinear Index 1 DAEs with Singular Point. 5th International Conference on Modeling, Simulation and Optimization of Complex Processes, Hanoi, Vietnam, Non-EU. http://hdl.handle.net/20.500.12708/120275 ( reposiTUm)
Koch, O. (2012). Adaptive Solution of Nonlinear Evolution Equations. Berufungsvortrag W3, Humboldt Universitaet Berlin, EU. http://hdl.handle.net/20.500.12708/120022 ( reposiTUm)
Weinmüller, E., Dick, A., Koch, O., & März, R. (2012). Collocation for Nonlinear Index 1 DAEs with Singular Point. Minisymposium MS127 Industrial Applications of Differential-Algebraic Equations, ICIAM, Vancouver, EU. http://hdl.handle.net/20.500.12708/119986 ( reposiTUm)
Koch, O. (2012). Adaptive Split-Step Time Integrators for Quantum Dynamics. Berufungsvortrag W3, Humboldt Universitaet Berlin, EU. http://hdl.handle.net/20.500.12708/120011 ( 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., Hofstätter, H., Koch, O., & Thalhammer, M. (2012). Convergence Analysis of a Generalized-Laguerre-Fourier-Hermite Method for the Gross-Pitaevskii Equation with Rotation Term. 8th Austrian Numerical Analysis Day, Wien, Austria. http://hdl.handle.net/20.500.12708/120033 ( 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)
Koch, O. (2011). Model Reduction Techniques for the Simulation of High-Dimensional Quantum Dynamics. Berufungsvortrag W3, Humboldt Universitaet Berlin, EU. http://hdl.handle.net/20.500.12708/119720 ( reposiTUm)
Koch, O. (2011). Efficient Time Propagators for High-Dimensional Quantum Dynamics. Berufungsvortrag W3, Humboldt Universitaet Berlin, EU. http://hdl.handle.net/20.500.12708/119719 ( reposiTUm)
Koch, O., Happenhofer, N., Kupka, F., Mayrhofer, A., & Zaussinger, F. (2011). Total-Variation Diminishing Runge-Kutta Methods for Advection-Diffusion Equations in Astrophysics. 1st International Workshop on Small-Scale Solar Magnetic Fields, Bairisch-Kölldorf, Austria. http://hdl.handle.net/20.500.12708/120202 ( reposiTUm)
Koch, O., Happenhofer, N., & Kupka, F. (2011). Total-Variation Diminishing Implicit-Explicit Runge-Kutta Methods for Simulations of Semiconvection in Astrophysics. 7th Austrian Numerical Analysis Day, Klagenfurt, Austria. http://hdl.handle.net/20.500.12708/120203 ( reposiTUm)
Koch, O. (2011). Efficient Numerical Approximation of High-Dimensional Evolution Equations. Berufungsvortrag W3, Humboldt Universitaet Berlin, EU. http://hdl.handle.net/20.500.12708/119718 ( reposiTUm)
Koch, O. (2011). Adaptive Simulation of High-Dimensional Quantum Dynamics. Berufungsvortrag W3, Humboldt Universitaet Berlin, EU. http://hdl.handle.net/20.500.12708/119978 ( reposiTUm)
Happenhofer, N., Koch, O., Kupka, F., & Zaussinger, F. (2011). Total Variation Diminishing Runge-Kutta Time Integrators for Dissipative Flow Problems in Astrophysics. ICNAAM 2011, Halkidiki, EU. http://hdl.handle.net/20.500.12708/119976 ( reposiTUm)
Koch, O., Kupka, F., Mayerhofer, A., & Zaussinger, F. (2011). Total Variation Diminishing Implicit Runge--Kutta Methods for Dissipative Advection-Diffusion Problems in Astrophysics. GAMM Jahrestagung 2011, Graz, Austria. http://hdl.handle.net/20.500.12708/120541 ( reposiTUm)
Auzinger, W., Koch, O., & Thalhammer, M. (2011). Local error estimation for exponential splitting schemes. Conference on Simulation and Optimization, Györ, EU. http://hdl.handle.net/20.500.12708/119721 ( reposiTUm)
Auzinger, W., Koch, O., & Thalhammer, M. (2011). Defect based error estimation techniques for exponential splitting schemes. 7th Austrian Numerical Analysis Day, Klagenfurt, Austria. http://hdl.handle.net/20.500.12708/119699 ( reposiTUm)
Auzinger, W., Koch, O., Neuhauser, C., & Thalhammer, M. (2011). Error Estimators for Adaptive Splitting Methods. OeMG Tagung 2011, Donauuniversität Krems, Austria. http://hdl.handle.net/20.500.12708/119977 ( reposiTUm)
Koch, O. (2010). High-Order Variational Splitting Methods for the MCTDHF Equations in Electron Dynamics. Workshop “Two Days on Splitting Methods for Evolution Equations,” Innsbruck, Austria. http://hdl.handle.net/20.500.12708/119683 ( reposiTUm)
Koch, O. (2010). Adaptive High-Order Splitting Methods for Nonlinear Schroedinger Equations. Berufungsvortrag W3, Humboldt Universitaet Berlin, EU. http://hdl.handle.net/20.500.12708/119623 ( reposiTUm)
Koch, O. (2010). Adaptive High-Order Splitting Methods for Nonlinear Schr\"odinger Equations. Berufungsvortrag W3, Humboldt Universitaet Berlin, EU. http://hdl.handle.net/20.500.12708/119624 ( reposiTUm)
Auzinger, W., Kitzler, G., Koch, O., & Saboor Bagherzadeh, A. (2010). Robust and highly accurate error estimators for second order ODEs. 6th Austrian Numerical Analysis Day, Salzburg, Austria. http://hdl.handle.net/20.500.12708/119350 ( reposiTUm)
Koch, O., Neuhauser, C., & Thalhammer, M. (2010). Adaptive High-Order Splitting Methods for Nonlinear Evolution Equations. 6th Austrian Numerical Analysis Day, Salzburg, Austria. http://hdl.handle.net/20.500.12708/119681 ( reposiTUm)
Koch, O., Lubich, C., Neuhauser, C., & Thalhammer, M. (2010). High-Order Variational Splitting Methods for the MCTDHF Equations in Electron Dynamics. Two Days on Splitting Methods for Evolution Equations, Innsbruck, Austria. http://hdl.handle.net/20.500.12708/120540 ( reposiTUm)
Koch, O., Neuhauser, C., & Thalhammer, M. (2010). Efficient High-Order Splitting Methods for Nonlinear Evolution Equations. BIT 50 Conference, Lund, Schweden, EU. http://hdl.handle.net/20.500.12708/119680 ( reposiTUm)
Koch, O., Kupka, F., Neuhauser, C., & Thalhammer, M. (2010). High-order Structure-Preserving Discretization Methods for Nonlinear Evolution Equations. Workshop on Innovative Integrators, Innsbruck, Austria. http://hdl.handle.net/20.500.12708/119629 ( reposiTUm)
Koch, O., Kupka, F., Neuhauser, C., & Thalhammer, M. (2010). High-order Structure-Preserving Discretization Methods for Nonlinear Evolution Equations. Austrian-Chinese Workshop ’Dissipative Systems: Kinetic Theory and Semiconductor Applications, Wien, Austria. http://hdl.handle.net/20.500.12708/119682 ( reposiTUm)
Koch, O., & Lubich, C. (2009). Split-Step Time Propagation of the Multi-Configuration Time-Dependent Hartree-Fock Equations for Atoms. 24th Biennial Conference on Numerical Analysis, Glasgow, EU. http://hdl.handle.net/20.500.12708/119235 ( reposiTUm)
Weinmüller, E., Koch, O., März, R., & Praetorius, D. (2009). Solving Differential-Algebraic Equations with Singularities. ENUMATH 2009, Uppsala, EU. http://hdl.handle.net/20.500.12708/119241 ( reposiTUm)
Koch, O. (2009). Analysis of a Defect Correction Method for Geometric Integrators. Universität Innsbruck, Austria. http://hdl.handle.net/20.500.12708/119238 ( reposiTUm)
Koch, O. (2009). Dynamical Tensor Approximation and Quantum Dynamics. Universität Innsbruck, Austria. http://hdl.handle.net/20.500.12708/119239 ( reposiTUm)
Koch, O., & Lubich, C. (2009). Variational Approximations in Quantum Dynamics and Multilinear Algebra. 17. ÖMG-Kongress - Jahrestagung der DMV, Graz, Austria. http://hdl.handle.net/20.500.12708/119237 ( reposiTUm)
Koch, O., & Lubich, C. (2009). Analysis of a Dynamical Low Rank Approximation for Tensors. ENUMATH 2009, Uppsala, EU. http://hdl.handle.net/20.500.12708/119236 ( reposiTUm)
Simon, C., Koch, O., & Weinmüller, E. (2009). Numerical Solutions of Singular EVPs for ODEs within the Matlab Code bvpsuite. Talk, TU Graz, Austria. http://hdl.handle.net/20.500.12708/119244 ( reposiTUm)
Auzinger, W., Saboor Bagherzadeh, A., & Koch, O. (2009). A posteriori error estimation for second order ODEs via defect integration. 5th Austrian Numerical Analysis Day, Innsbruck, Austria. http://hdl.handle.net/20.500.12708/118975 ( reposiTUm)
Koch, O., & Lubich, C. (2009). Numerical Computation of the Multi-Particle Time-Dependent Schroedinger Equation. Workshop "Quantum Systems and Semiconductor Devices: Analysis, Simulations, Applications, Beijing, Tsinghua University, Non-EU. http://hdl.handle.net/20.500.12708/118977 ( reposiTUm)
Auzinger, W., Koch, O., & Saboor Bagherzadeh, A. (2009). Exact FD schemes and defect-based error estimation for second order ODEs. Kolloquium an der Universität Györ anlässlich des 60. Geburtstages von Gyözo Molnarka, Györ, EU. http://hdl.handle.net/20.500.12708/118981 ( reposiTUm)
Koch, O., & Lubich, C. (2009). Dynamical Low Rank Approximation for Higher-Order Tensors. 5th Austrian Numerical Analysis Day, Innsbruck, Austria. http://hdl.handle.net/20.500.12708/118978 ( reposiTUm)
Koch, O., & Lubich, C. (2008). Analysis and Numerical Approximation of the Multi-Configuration Time-Dependent Hartree-Fock Equations. 24th GAMM Seminar Leipzig, Leipzig, EU. http://hdl.handle.net/20.500.12708/118596 ( reposiTUm)
Koch, O., & Lubich, C. (2008). Time Integration of the Multi-Configuration Time-Dependent Hartree-Fock Equations. 4th Austrian Numerical Analysis Day, Linz, Austria. http://hdl.handle.net/20.500.12708/118598 ( reposiTUm)
Koch, O., & Lubich, C. (2008). Dynamical Low Rank Approximation of Tensors. ICCAM 2008 - 13th International Congress on Computational and Applied Mathematics, Ghent, EU. http://hdl.handle.net/20.500.12708/118599 ( reposiTUm)
Koch, O., & Lubich, C. (2008). Variational Approximations in Linear Algebra and Quantum Dynamics. GAMM-Jahrestagung 2008, Bremen, EU. http://hdl.handle.net/20.500.12708/118597 ( reposiTUm)
Koch, O., & Lubich, C. (2008). Splitting Methods for the Multi-Configuration Time-Dependent Hartree-Fock Equations. SDIDE - Stability and Discretization Issues in Differential Equations, Wien, Austria. http://hdl.handle.net/20.500.12708/118601 ( reposiTUm)
Koch, O., & Lubich, C. (2008). Mathematical and Numerical Analysis of the MCTDH Equations in Quantum Dynamics. Numerical Methods in Density Functional Theory, Berlin, EU. http://hdl.handle.net/20.500.12708/118600 ( reposiTUm)
Koch, O. (2008). Dynamical Low Rank Approximation of Matrices and Tensors. Mathematics Colloquium, Jacobs University Bremen, EU. http://hdl.handle.net/20.500.12708/118603 ( reposiTUm)
Koch, O. (2008). Numerical Integration of Nonlinear Schrödinger Equations. Lecture Series “Wissenswertes aus der Mathematik,” TU Vienna, Austria, Austria. http://hdl.handle.net/20.500.12708/118602 ( reposiTUm)
Koch, O., & Lubich, C. (2008). The Variational Splitting Method for the Multi-Configuration Time-Dependent Hartree-Fock Equations. Splitting Methods in Time Integration, Innsbruck, Austria. http://hdl.handle.net/20.500.12708/118936 ( reposiTUm)
Auzinger, W., Koch, O., & Weinmüller, E. (2007). Numerical solution of singular boundary value problems in ordinary differential equations (p. 227). http://hdl.handle.net/20.500.12708/118212 ( reposiTUm)
Koch, O. (2007). Numerical Treatment of the Multi-Particle Time-Dependent Schrödinger Equation. Kolloquium, Leopold-Franzens Universität Innsbruck, Austria. http://hdl.handle.net/20.500.12708/118186 ( reposiTUm)
Koch, O., & Hofstätter, H. (2007). Acceleration Techniques Adapted for Geometric Integrators. Kolloquium, Leopold-Franzens Universität Innsbruck, Austria. http://hdl.handle.net/20.500.12708/118187 ( reposiTUm)
Koch, O. (2007). Theory and Computation of the MCTDHF Approximation for the Time-Dependent Schrödinger Equation. 3rd Austrian Numerical Analysis Day, Wien, Austria. http://hdl.handle.net/20.500.12708/118185 ( reposiTUm)
Koch, O. (2006). Variational Approximations in Quantum Dynamics and in Linear Algebra. Berufungsvortrag, Vienna, Austria, Austria. http://hdl.handle.net/20.500.12708/117782 ( reposiTUm)
Koch, O. (2006). Numerical Computation of Electron Dynamics. Berufungsvortrag, Vienna, Austria, Austria. http://hdl.handle.net/20.500.12708/117783 ( reposiTUm)
Koch, O., März, R., Praetorius, D., & Weinmüller, E. (2006). Collocation for Index-1 DAES with a critical point. International Conference on Operation Research, Reykjavik, EU. http://hdl.handle.net/20.500.12708/117946 ( reposiTUm)
Koch, O. (2006). Approximation Methods in Multi-Particle Quantum Dynamics. Stipendiatenwochenende der ÖAW, Wien, Austria. http://hdl.handle.net/20.500.12708/118010 ( reposiTUm)
Koch, O. (2005). MCTDHF: A Model Reduction Technique for Computational Quantum Dynamics. Kolloquium des Instituts für Analysis und Scientific Computing, TU Wien, Austria. http://hdl.handle.net/20.500.12708/117779 ( reposiTUm)
Koch, O. (2005). A Model Reduction Technique for the Time-Dependent Schrödinger Equation. Berufungsvortrag, Vienna, Austria, Austria. http://hdl.handle.net/20.500.12708/117781 ( reposiTUm)
Koch, O. (2005). The MCTDHF Approximation to the Time-Dependent Schrödinger Equation. Berufungsvortrag, Vienna, Austria, Austria. http://hdl.handle.net/20.500.12708/117780 ( reposiTUm)
Auzinger, W., Karner, E., Koch, O., Praetorius, D., & Weinmüller, E. (2005). Präzise und effiziente a-posteriori Fehlerschätzung bei impliziten und singulären Randwertproblemen. 16th International Congress of the Austrian Mathematical Society (ÖMG), Klagenfurt, Austria, Austria. http://hdl.handle.net/20.500.12708/117489 ( reposiTUm)
Kitzhofer, G., Koch, O., & Weinmüller, E. (2005). Pathfollowing for Multi-Bump Solutions of the Complex Ginzburg-Landau Equation. SciCADE 2005, Nagoya, Japan, Austria. http://hdl.handle.net/20.500.12708/117472 ( reposiTUm)
Koch, O. (2005). Analytical and Numerical Treatment of the MCTDHF Approximation to the Time-Dpendent Schrödinger Equation. Conference on Differential and Difference Equations, Gdansk, Poland, Austria. http://hdl.handle.net/20.500.12708/117476 ( reposiTUm)
Auzinger, W., Koch, O., & Schranz-Kirlinger, G. (2005). Canonical forms for companion matrices and appliations. SAM Konferenz, Zürich, Non-EU. http://hdl.handle.net/20.500.12708/117642 ( reposiTUm)
Koch, O. (2005). The Time-Dependent Multi-Particle Schrödinger Equation and Dynamical Low Rank Approximation. Kolloquium, Leopold-Franzens Universität Innsbruck, Austria. http://hdl.handle.net/20.500.12708/117778 ( reposiTUm)
Koch, O., Budd, Ch., & Weinmüller, E. (2004). Computation of Self-Similar Solution Profiles for the Nonlinear Schrödinger Equation. 11th International Congress  on Computational and Applied Mathematics, Leuven, Belgium, Austria. http://hdl.handle.net/20.500.12708/117230 ( reposiTUm)
Koch, O., Auzinger, W., & Weinmüller, E. (2004). Software for Singular Boundary Value Problems. International Workshop on Analysis and Numerical Approximation of Singular Problems, Lisbon, Portugal, Austria. http://hdl.handle.net/20.500.12708/117232 ( reposiTUm)
Auzinger, W., Koch, O., Praetorius, D., & Weinmüller, E. (2004). Software Development for Singular Boundary Value Problems. Workshop on Advanced Scientific Computing and Applications, Györ, Hungary, Austria. http://hdl.handle.net/20.500.12708/117231 ( reposiTUm)
Koch, O. (2004). Numerical Solution of the Time-Dependent Schrödinger Equation in Ultrafast Laser Dynamics. NAA ’04, Corfu, Greece, Austria. http://hdl.handle.net/20.500.12708/117451 ( reposiTUm)
Hofstätter, H., & Koch, O. (2004). Defect Correction for Geometric Integrators. APLIMAT 2004, Bratislava, Slovakia, Austria. http://hdl.handle.net/20.500.12708/117452 ( reposiTUm)
Auzinger, W., Koch, O., & Kirlinger, G. (2004). Transformed Companion Matrices as a Theoretical Tool in the Numerical Analysis of Differential Equations. Workshop on Advanced Scientific Computing and Applications, Györ, Hungary, Austria. http://hdl.handle.net/20.500.12708/116837 ( reposiTUm)
Auzinger, W., Hofstätter, H., Koch, O., Kreuzer, W., & Weinmüller, E. (2004). Generalized Defect Correction for ODEs. 6th WSEAS International Conference on Algorithms, Scientific Computing, Modelling and Simulation, Cancun, Mexico, Austria. http://hdl.handle.net/20.500.12708/116731 ( reposiTUm)
Budd, Ch., Koch, O., & Weinmüller, E. (2004). From Nonlinear PDEs to Singular ODEs. 3rd International  Conference on the Numerical Solution of Volterra and Delay Equations, Tempe, USA, Austria. http://hdl.handle.net/20.500.12708/116732 ( reposiTUm)
Koch, O. (2004). Numerische Lösung von singulären Differentialgleichungen. Kolloquium des Mathematischen Instituts der Universität Tübingen, Tübingen, Deutschland, EU. http://hdl.handle.net/20.500.12708/117777 ( reposiTUm)
Koch, O., & Weigl, H. (2003). Modeling Ambulance Service of the Austrian Red Cross. Winter Simulation Conference 2003, New Orleans, US, Austria. http://hdl.handle.net/20.500.12708/116417 ( reposiTUm)
Koch, O. (2003). Asymptotically Correct Error Estimation for Collocation Methods Applied to Singular Boundary Value Problems. ANODE 2003, Auckland Numerical ODEs, Auckland, New Zealand, Austria. http://hdl.handle.net/20.500.12708/116416 ( reposiTUm)
Auzinger, W., Koch, O., Petrickovic, J., & Weinmüller, E. (2003). The Numerical Solution of Boundary Value Problems with Essential Singularity. 4. International Conference on Large-Scale Scientific Computations, Sozopol, Bulgaria, Austria. http://hdl.handle.net/20.500.12708/116397 ( reposiTUm)
Koch, O., & Weinmüller, E. (2003). A Posteriori Error Estimation for Collocation Methods Applied to Singular Boundary Value Problems, Part I. SciCADE 2003, Trondheim, Non-EU. http://hdl.handle.net/20.500.12708/116398 ( reposiTUm)
Koch, O., & Weinmüller, E. (2003). A Posteriori Error Estimation for Collocation Methods Applied to Singular Boundary Value Problems, Part II. SciCADE 2003, Trondheim, Non-EU. http://hdl.handle.net/20.500.12708/116399 ( reposiTUm)
Auzinger, W., Koch, O., & Weinmüller, E. (2003). Global Error Estimates for Collocation Methods Applied to BVPs with an Essential Singularity. ANODE 2003, Auckland Numerical ODEs, Auckland, New Zealand, Austria. http://hdl.handle.net/20.500.12708/116400 ( reposiTUm)
Auzinger, W., Koch, O., & Weinmüller, E. (2003). Numerical Solution of Singular Boundary Value Problems in ODEs. Advances in Numerical Algorithms, Graz, Austria, Austria. http://hdl.handle.net/20.500.12708/116401 ( reposiTUm)
Auzinger, W., Koch, O., & Weinmüller, E. (2002). New Variants of Defect Correction for BVPs in ODEs, Part II. International Conference on Scientific Computing, Xian, China, Austria. http://hdl.handle.net/20.500.12708/116396 ( reposiTUm)
Auzinger, W., Koch, O., & Weinmüller, E. (2002). New Variants of Defect Correction for BVPs in ODEs, Part I. International Conference on Scientific Computing, Xian, China, Austria. http://hdl.handle.net/20.500.12708/116392 ( reposiTUm)
Auzinger, W., Koch, O., & Weinmüller, E. (2001). Efficient Collocation Schemes for Singular Boundary Value Problems. ANODE 2001, Auckland Numerical ODEs, Auckland, New Zealand, Austria. http://hdl.handle.net/20.500.12708/117459 ( reposiTUm)
Auzinger, W., Koch, O., & Weinmüller, E. (2001). Theory, Solution Techniques and Applications of Singular Boundary Value Problems. PPAM 2001, Naleczow, Poland, Austria. http://hdl.handle.net/20.500.12708/117461 ( reposiTUm)
Auzinger, W., Koch, O., & Weinmüller, E. (2001). Effiziente Lösung von Singulären Differentialgleichungen. 15. ÖMG Kongreß, Vienna, Austria, Austria. http://hdl.handle.net/20.500.12708/117462 ( reposiTUm)
Auzinger, W., Kneisl, G., Koch, O., & Weinmüller, E. (2001). A Collocation Solver for Singular Boundary Value Problems. SciCADE 2001, Vancouver, Canada, Austria. http://hdl.handle.net/20.500.12708/117460 ( reposiTUm)
Auzinger, W., Kneisl, G., Koch, O., & Weinmüller, E. (2001). A Collocation Code for Singular/Regular Boundary Value Problems. International Conference on Numerical Algorithms, Marrakesh, Morocco, Austria. http://hdl.handle.net/20.500.12708/117463 ( reposiTUm)
Koch, O., & Weinmüller, E. (2000). Acceleration Techniques for Singular Initial Value Problems. CSCC 2000, Athens, Greece, Austria. http://hdl.handle.net/20.500.12708/117457 ( reposiTUm)
Auzinger, W., Koch, O., & Weinmüller, E. (2000). Error Estimate and Grid Selection for Singular Boundary Value Problems. Scientific Colloquium on Numerical Analysis of Differential Equations, Berlin, Germany, Austria. http://hdl.handle.net/20.500.12708/117458 ( reposiTUm)
Auzinger, W., Koch, O., Kofler, P., & Weinmüller, E. (1999). The Application of Shooting to Singular Boundary Value Problems. 18th Biennial Conference on Numerical Analysis, Dundee, U.K., Austria. http://hdl.handle.net/20.500.12708/117455 ( reposiTUm)
Auzinger, W., Koch, O., Kofler, P., & Weinmüller, E. (1999). The Application of Multiple Shooting to Singular Boundary Value Problems. SciCADE 1999, Fraser Island, Australia, Austria. http://hdl.handle.net/20.500.12708/117456 ( reposiTUm)
Koch, O., & Weinmüller, E. (1999). The Convergence of Shooting Methods for Singular Boundary Value Problems. 18th Biennial Conference on Numerical Analysis, Dundee, U.K., Austria. http://hdl.handle.net/20.500.12708/117454 ( reposiTUm)
Koch, O., Kofler, P., & Weinmüller, E. (1998). Analysis and Numerical Treatment of Singular Initial Value Problems. ANODE 1998, Auckland Numerical ODEs, Auckland, New Zealand, Austria. http://hdl.handle.net/20.500.12708/117453 ( reposiTUm)

Berichte

Auzinger, W., Fallahpour, M., Koch, O., & Weinmüller, E. (2019). Implementation of a pathfollowing strategy with an automatic step-length control: New MATLAB package bvpsuite2.0 (ASC Report 31/2019; pp. 1–130). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/30869 ( reposiTUm)
Amodio, P., Budd, Ch., Koch, O., Rottschäfer, V., Settanni, G., & Weinmüller, E. (2019). Near critical, self-similar, blow-up solutions of the generalised Korteweg-de Vries equation: asymptotics and computations (ASC Report 02/2019; pp. 1–37). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/30841 ( reposiTUm)
Auzinger, W., Koch, O., Weinmüller, E., & Wurm, S. (2019). Modular version bvpsuite1.2 of the collocation MATLAB package bvpsuite1.1 (ASC Report 30/2019; pp. 1–131). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/30868 ( reposiTUm)
Jawecki, T., Auzinger, W., & Koch, O. (2018). Computable strict upper bounds for Krylov approximations to a class of matrix exponentials and φ-functions (ASC Report 23/2018; pp. 1–25). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/30827 ( reposiTUm)
Auzinger, W., Hofstätter, H., Koch, O., Quell, M., & Thalhammer, M. (2018). A Posteriori Error Estimation for Magnus-Type Integrators (ASC Report 1/2018; pp. 1–19). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/30805 ( reposiTUm)
Auzinger, W., Brezinova, I., Hofstätter, H., Koch, O., & Quell, M. (2017). 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; pp. 1–40). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/29438 ( reposiTUm)
Auzinger, W., Koch, O., Schöbinger, M., & Weinmüller, E. (2015). A new version of the code bvpsuite for singular BVPs in ODEs: Nonlinear solver and its application to m-Laplacians. (ASC Report 28/2015; pp. 1–58). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/28700 ( 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). Adaptive High-Order Splitting Methods for Systems of Nonlinear Evolution Equations with Periodic Boundary Conditions (ASC Report 41/2015; pp. 1–29). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/28849 ( 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)
Koch, O., Schirnhofer, S., & Weinmüller, E. (2015). Numerical simulation of the Korteweg-de Vries Equation for shallow water waves (ASC Report 34/2015; pp. 1–66). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/28767 ( reposiTUm)
Auzinger, W., Kassebacher, T., Koch, O., & Thalhammer, M. (2015). Convergence of a Strang splitting finite element discretization for the Schrödinger-Poisson equation (ASC Report 40/2015; pp. 1–35). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/28844 ( reposiTUm)
Auzinger, W., Koch, O., & Thalhammer, M. (2014). Defect-based local error estimators for high-order splitting methods involving three linear operators (ASC Report 22/2014; pp. 1–26). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/28308 ( 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., Koch, O., & Saboor Bagherzadeh, A. (2013). Error estimation based on locally weighted defect for boundary value problems in second order ordinary differential equations (ASC Report 29/2013; pp. 1–23). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/25344 ( 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)
Hofstätter, H., & Koch, O. (2012). An Approximate Eigensolver for Self-Consistent Field Calculations (ASC Report 30/2012; pp. 1–35). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/27638 ( reposiTUm)
Higueras, I., Happenhofer, N., Koch, O., & Kupka, F. (2012). Optimized Imex Runge-Kutta methods for simulations in astrophysics: A detailed study (ASC Report 14/2012; pp. 1–36). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/27579 ( reposiTUm)
Amodio, P., Budd, Ch., Koch, O., Settanni, G., & Weinmüller, E. (2012). Asymptotical Computations for a Model of Flow in Concrete (ASC Report 26/2012; pp. 1–18). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/27633 ( reposiTUm)
Amodio, P., Budd, Ch., Koch, O., Settanni, G., & Weinmüller, E. (2012). Numerical Solution of a Second-Order Initial Value Problem Describing Flow in Concrete (ASC Report 24/2012; pp. 1–36). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/27630 ( reposiTUm)
Hofstätter, H., Koch, O., & Thalhammer, M. (2012). Convergence of split-step generalized-Laguerre-Fourier-Hermite methods for Gross-Pitaevskii equations with rotation terms (ASC Report 32/2012; pp. 1–38). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/27639 ( 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)
Dick, A., Koch, O., März, R., & Weinmüller, E. (2011). Collocation Schemes for Nonlinear Index 1 DAEs with a Singular Point (ASC Report 37/2011). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/27259 ( reposiTUm)
Happenhofer, N., Koch, O., & Kupka, F. (2011). IMEX Methods for the ANTARES Code (ASC Report 27/2011). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/27195 ( reposiTUm)
Auzinger, W., Koch, O., & Thalhammer, M. (2011). Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part I. The linear case (ASC Report 34/2011). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/27255 ( reposiTUm)
Hammerling, R., Koch, O., Simon, C., & Weinmüller, E. (2010). Numerical solution of singular eigenvalue problems for ODEs with a focus on problems posed on semi-infinite intervals (ASC Report 08/2010). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/26776 ( reposiTUm)
Hammerling, R., Kamleitner, J., & Koch, O. (2010). Numerical Methods in Quantum Propagation (ASC Report 19/2010). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/26867 ( reposiTUm)
Dick, A., Koch, O., März, R., & Weinmüller, E. (2010). Convergence of collocation schemes for nonlinear index 1 DAEs with a singular point (ASC Report 13/2010). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/26822 ( reposiTUm)
Hammerling, R., Koch, O., Simon, C., & Weinmüller, E. (2010). Numerical treatment of singular ODE EVPs using bvpsuite (ASC Report 16/2010). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/26839 ( reposiTUm)
Hammerling, R., Koch, O., Simon, C., & Weinmüller, E. (2010). Numerical solution of singular ODE eigenvalue problems in electronic structure computations (ASC Report 07/2010). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/26770 ( reposiTUm)
Kitzhofer, G., Koch, O., Pulverer, G., Simon, C., & Weinmüller, E. (2010). The new MATLAB code bvpsuite for the solution of singular implizit BVPs (ASC Report 03/2010). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/26733 ( reposiTUm)
Koch, O., Kupka, F., Löw-Baselli, B., Mayrhofer, A., & Zaussinger, F. (2010). SDIRK methods for the ANTARES code (ASC Report 32/2010). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/27058 ( reposiTUm)
Kitzhofer, G., Koch, O., & Weinmüller, E. (2009). Numerical Treatment of singular BVPS: the new MATLAB code bvpsuite (ASC Report 09/2009; pp. 1–25). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/26371 ( reposiTUm)
Kitzhofer, G., Koch, O., Pulverer, G., Simon, C., & Weinmüller, E. (2009). BVPSUITE: a new MATLAB solver for singular implicit boundary value problems (ASC Report 35/2009; pp. 411–424). Institute of Analysis and Scientific Computing, TU Wien. https://doi.org/10.1007/s10915-005-9020-5 ( reposiTUm)
Cash, J., Kitzhofer, G., Koch, O., Moore, G., & Weinmüller, E. (2008). Numerical Solution of singular two point BVPs (ASC Report 22/2008). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/26104 ( reposiTUm)
Koch, O., & Lubich, C. (2008). Analysis and time integration of the multi-configuration time-dependent Hartree-Fock equations in electron dynamics (ASC Report 04/2008). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/25155 ( reposiTUm)
Koch, O. (2008). Approximation of meanfield terms in MCTDHF computations by H-matrices (ASC Report 05/2008). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/25156 ( reposiTUm)
Koch, O., März, R., Praetorius, D., & Weinmüller, E. (2008). Collocation methods for index 1 DAEs with a singularity of the first kind (ASC Report 10/2008). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/25162 ( reposiTUm)
Kitzhofer, G., Koch, O., & Weinmüller, E. (2007). Pathfollowing for essentially singular boundary value problems with application to the complex Ginzburg-Landau equation (ASC Report 19/2007). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/25131 ( reposiTUm)
Koch, O., März, R., Praetorius, D., & Weinmüller, E. (2007). Collocation for Solving DAEs with Singularities (ASC Report 32/2007). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/25144 ( reposiTUm)
Koch, O., Blaha, P., & Schwarz, K. (2006). Davidson-Like Iterative Methods for Generalized Eigenproblems Occurring in Self-Consistent Field Computations of the Electronic Structure (AG-DA7-1-2006_v1). http://hdl.handle.net/20.500.12708/32621 ( reposiTUm)
Kitzhofer, G., Koch, O., & Weinmüller, E. (2004). Collocation Methods for the Computation of Bubble-Type Solutions of a Singular BVP in Hydrodynamics. http://hdl.handle.net/20.500.12708/31675 ( reposiTUm)
Auzinger, W., Koch, O., Praetorius, D., Pulverer, G., & Weinmüller, E. (2004). Performance of Collocation Software for Singular BVPs. http://hdl.handle.net/20.500.12708/31634 ( reposiTUm)
Kitzhofer, G., Koch, O., & Weinmüller, E. (2004). Kollokationsverfahren für singuläre Randwertprobleme zweiter Ordnung in impliziter Form. http://hdl.handle.net/20.500.12708/31636 ( reposiTUm)
Budd, Ch., Koch, O., & Weinmüller, E. (2004). From the Nonlinear Schrödinger Equation to Singular BVPs. http://hdl.handle.net/20.500.12708/31635 ( reposiTUm)
Hofstätter, H., & Koch, O. (2004). Convergence Proof for Iterated Splitting Defect Correction. http://hdl.handle.net/20.500.12708/31638 ( reposiTUm)
Budd, Ch., Koch, O., & Weinmüller, E. (2004). Self-Similar Blow-Up in Nonlinear PDEs. http://hdl.handle.net/20.500.12708/31637 ( reposiTUm)
Koch, O., & Kreuzer, W. (2004). Performance of MCTDHF Implementations. http://hdl.handle.net/20.500.12708/31639 ( reposiTUm)
Hofstätter, H., & Koch, O. (2003). Splitting Defect Correction. http://hdl.handle.net/20.500.12708/31606 ( reposiTUm)
Koch, O., Kreuzer, W., & Scrinzi, A. (2003). MCTDHF in Ultrafast Laser Dynamics. http://hdl.handle.net/20.500.12708/31607 ( reposiTUm)
Auzinger, W., Karner, E., Koch, O., Praetorius, D., & Weinmüller, E. (2003). Globale Fehlerschätzer für Randwertprobleme mit einer Singularität zweiter Art. http://hdl.handle.net/20.500.12708/31601 ( reposiTUm)
Auzinger, W., Koch, O., Petrickovic, J., & Weinmüller, E. (2003). Numerical Solution of Boundary Value Problems with an Essential Singularity. http://hdl.handle.net/20.500.12708/31577 ( reposiTUm)
Koch, O., Paul, A., Traxler, A., & Weinmüller, E. (2002). Efficient Numerical Solution of a Singular Initial Value Problem in Avalanche Modeling. http://hdl.handle.net/20.500.12708/31599 ( reposiTUm)
Auzinger, W., Koch, O., Lammer, S., & Weinmüller, E. (2002). Variationen der Defektkorrektur zur effizienten numerischen Lösung gewöhnlicher Differentialgleichungen. http://hdl.handle.net/20.500.12708/31576 ( reposiTUm)
Auzinger, W., Kneisl, G., Koch, O., & Weinmüller, E. (2002). A Solution Routine for Singular Boundary Value Problems. http://hdl.handle.net/20.500.12708/31574 ( reposiTUm)
Auzinger, W., Kneisl, G., Koch, O., & Weinmüller, E. (2002). SBVP 1.0 - A MATLAB Solver for Singular Boundary Value Problems. http://hdl.handle.net/20.500.12708/31575 ( reposiTUm)
Auzinger, W., Koch, O., Polster, W., & Weinmüller, E. (2001). Ein Algorithmus zur Gittersteuerung bei Kollokationsverfahren für singuläre Randwertprobleme,. http://hdl.handle.net/20.500.12708/31641 ( reposiTUm)
Auzinger, W., Koch, O., Kofler, P., & Weinmüller, E. (2000). Acceleration Techniques for Singular Initial Value Problems. http://hdl.handle.net/20.500.12708/31695 ( reposiTUm)
Auzinger, W., Koch, O., Kofler, P., & Weinmüller, E. (1999). The Application of Shooting to Singular Boundary Value Problems. http://hdl.handle.net/20.500.12708/31679 ( reposiTUm)
Koch, O., Kofler, P., & Weinmüller, E. (1999). Analysis of Singular Initial and Terminal Value Problems. http://hdl.handle.net/20.500.12708/31692 ( reposiTUm)

Hochschulschriften

Koch, O. (2002). Numerical treatment of ordinary differential equations with a singularity of the first kind [Professorial Dissertation, Technische Universität Wien]. reposiTUm. http://hdl.handle.net/20.500.12708/186214 ( reposiTUm)