Auer, F. K., Auzinger, W., Burkotová, J., Rachůnková, I., & Weinmüller, E. B. (2022). On nonlinear singular BVPs with nonsmooth data. Part 2: Convergence of collocation methods. Applied Numerical Mathematics, 171, 149–175. https://doi.org/10.1016/j.apnum.2021.08.016 ( 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)

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)

Schattauer, C., Linhart, L., Fabian, T., Jawecki, T., Auzinger, W., & Libisch, F. (2020). Graphene quantum dot states near defects. Physical Review B, 102(155430). https://doi.org/10.1103/physrevb.102.155430 ( 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)

Auzinger, W., Burkotová, J., Rachůnková, I., & Wenin, V. (2018). Shooting methods for state-dependent impulsive boundary value problems, with applications. Applied Numerical Mathematics, 128, 217–229. https://doi.org/10.1016/j.apnum.2018.02.006 ( 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)

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., & Stolyarchuk, R. (2016). A topic in the stability analysis associated with companion matrices. Matematychni Studii, 46(2), 115–120. https://doi.org/10.15330/ms.46.2.115-120 ( reposiTUm)

Auzinger, W. (2016). A note on similarity to contraction for stable 2x2 companion matrices. Ukrainian Mathematical Journal, 68(3), 448–457. https://doi.org/10.1007/s11253-016-1233-2 ( 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., Stolyarchuk, R., & Tutz, M. (2016). Defect correction methods, classic and new. Computing Supplementum. https://doi.org/10.1007/978-3-7091-7023-6 ( reposiTUm)

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

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

Auzinger, W., & Herfort, W. (2014). Local error structures and order conditions in terms of Lie elements for exponential splitting schemes. Opuscula Mathematica, 34(2), 243–255. http://hdl.handle.net/20.500.12708/156415 ( reposiTUm)

Auzinger, W. (2014). Error estimation based on locally weighted defect for boundary value problems in second order ordinary differential equations. BIT Numerical Mathematics. https://doi.org/10.1007/s10543-014-0488-y ( reposiTUm)

Reichl, I., & Auzinger, W. (2013). Identifying Tibio-Femoral Joint Kinematics: Individual Adjustment versus Numerical Robustness. IFAC Proceedings Volumes, 45(2), 819–824. https://doi.org/10.3182/20120215-3-at-3016.00145 ( 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)

Exl, L., Auzinger, W., Bance, S., Gusenbauer, M., Reichel, F., & Schrefl, T. (2012). Fast stray field computation on tensor grids. Journal of Computational Physics, 231(7), 2840–2850. https://doi.org/10.1016/j.jcp.2011.12.030 ( reposiTUm)

Auzinger, W., & Lapinska, M. (2012). Convergence of rational multistep methods of Adams-Padé type. BIT Numerical Mathematics, 52(1), 3–20. https://doi.org/10.1007/s10543-011-0353-1 ( reposiTUm)

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

Auzinger, W., Lehner, H., & Weinmüller, E. (2011). An efficient asymptotically correct error estimator for collocation solutions to singular index-1 DAEs. BIT Numerical Mathematics, 51(1), 43–65. https://doi.org/10.1007/s10543-011-0321-9 ( reposiTUm)

Auzinger, W. (2011). Error estimation via defect computation and reconstruction: Some particular techniques. Journal of Numerical Analysis, Industrial and Applied Mechanics (JNAIAM), 6(1–2), 15–27. http://hdl.handle.net/20.500.12708/161935 ( reposiTUm)

Auzinger, W., & Kramer, F. (2010). On the stability and error structure of BDF schemes applied to linear parabolic evolution equations. BIT Numerical Mathematics, 50(3), 455–480. https://doi.org/10.1007/s10543-010-0269-1 ( reposiTUm)

Reichl, I., Auzinger, W., Schmiedmayer, H.-B., & Weinmüller, E. (2010). Reconstructing the knee joint mechanism from kinematic data. Mathematical and Computer Modelling of Dynamical Systems, 16(5), 403–415. https://doi.org/10.1080/13873954.2010.507094 ( 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)

Auzinger, W., & Herfort, W. (2006). A uniform quantitative stiff stability estimate for BDF schemes. Opuscula Mathematica, 26(2), 203–227. http://hdl.handle.net/20.500.12708/171879 ( reposiTUm)

Auzinger, W., Hofstätter, H., Kreuzer, W., & Weinmüller, E. (2005). Modified defect correction algorithms for ODEs. Part II: Stiff initial value problems. Numerical Algorithms, 40(3), 285–303. https://doi.org/10.1007/s11075-005-5327-4 ( 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)

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)

AUZINGER, W., & EDER, A. (2001). A Note on Lyapunov transformation and exponential decay in linear ODE systems. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 11(01), 23–31. https://doi.org/10.1142/s0218202501000714 ( reposiTUm)

Auzinger, W., Frank, R., & Kirlinger, G. (1996). Extending convergence theory for nonlinear stiff problems, part I. BIT Numerical Mathematics, 36(4), 635–652. https://doi.org/10.1007/bf01733784 ( reposiTUm)

Auzinger, W., Frank, R., & Stetter, H. J. (1996). Vienna contributions to the development of RK-methods. Applied Numerical Mathematics, 22(1–3), 35–49. https://doi.org/10.1016/s0168-9274(96)00024-4 ( reposiTUm)

Auzinger, W., & Kirlinger, G. (1995). Kreiss resolvent conditions and strengthened Cauchy-Schwarz inequalities. Applied Numerical Mathematics, 18(1–3), 57–67. https://doi.org/10.1016/0168-9274(95)00043-t ( reposiTUm)

Auzinger, W., Frank, R., & Macsek, F. (1989). Fehlerstrukturen bei steifen Differentialgleichungen. ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 69, 133–134. http://hdl.handle.net/20.500.12708/174541 ( reposiTUm)

Auzinger, W., & Frank, R. (1989). Asymptotische Fehlerentwicklungen bei steifen Differentialgleichungen: Ergebnisse und numerische Verifikation. ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 69(4), 273–274. http://hdl.handle.net/20.500.12708/174540 ( reposiTUm)

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., Obelovska, K., Dronyuk, I., Pelekh, K., & Stolyarchuk, R. (2021). A Continuous Model for States in CSMA/CA-Based Wireless Local Networks Derived from State Transition Diagrams. In M. Saraswat, S. Roy, C. Chowdhury, & A. H. Gandomi (Eds.), Proceedings of International Conference on Data Science and Applications (pp. 571–579). Lecture Notes in Networks and Systems, Springer. https://doi.org/10.1007/978-981-16-5348-3_45 ( 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)

Pukach, P., Slipchuk, A., Auzinger, W., Stolyarchuk, R., Pukach, Y., Kunynets, A., & Pabyrivska, N. (2021). Asymptotic Method for Studying Mathematical Models of Resonant and Nonresonant Nonlinear Vibrations for Some 1D Moving Bodies. In 2021 IEEE 16th International Conference on the Experience of Designing and Application of CAD Systems (CADSM). CADSM’2021, Lviv, Ukraine. IEEE. https://doi.org/10.1109/cadsm52681.2021.9385221 ( reposiTUm)

Auzinger, W., Stolyarchuk, R., Pelekh, Y., Kozar, O., Mentynskyi, S., & Ihnatyshyn, M. (2020). The Studying of Hydrogen Diffusion Non-Stationary Processes Near a Crack in the Field of Heterogeneous Mechanical Tensions for the Encapsulated MEMS Devices. In 2020 IEEE XVIth International Conference on the Perspective Technologies and Methods in MEMS Design (MEMSTECH). IEEE Xplore. https://doi.org/10.1109/memstech49584.2020.9109464 ( reposiTUm)

Auzinger, W., Obelovska, K., & Stolyarchuk, R. (2020). A Revised Gomory-Hu Algorithm Taking Account of Physical Unavailability of Network Channels. In P. Gaj, W. Gumiński, & A. Kwiecień (Eds.), Computer Networks (pp. 3–13). Springer International Publishing. https://doi.org/10.1007/978-3-030-50719-0_1 ( reposiTUm)

Auzinger, W., Kytmanov, A. A., & Tsarev, S. P. (2020). A Study of Anomalies in GPS Time Series via Polynomial Filtering. In 2020 IEEE 15th International Conference on Computer Sciences and Information Technologies (CSIT). 15th International Scientific and Technical Conference Computer Science and Information Technologies, Zbarazh-Lviv, Ukraine. IEEE. https://doi.org/10.1109/csit49958.2020.9321909 ( 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., Obelovska, K., & Stolyarchuk, R. (2020). A Modified Gomory-Hu Algorithm with DWDM-Oriented Technology. In I. Lirkov & S. Margenov (Eds.), Large-Scale Scientific Computing 12th International Conference, LSSC 2019 (pp. 547–554). Springer Lecture Notes in Computer Science (LNCS). https://doi.org/10.1007/978-3-030-41032-2_63 ( 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)

Dronyuk, I., Fedevych, O., Stolyarchuk, R., & Auzinger, W. (2019). OMNET++ and Maple software environments for IT Bachelor studies. In E. Shakshuki, A. Yasar, & H. Malik (Eds.), Procedia Computer Science (pp. 654–659). Procedia Computer Science. https://doi.org/10.1016/j.procs.2019.08.093 ( reposiTUm)

Pukach, P., Ilkiv, V., Vovk, M., Slyusarchuk, O., Pukach, Y., Mylyan, Y., & Auzinger, W. (2019). On the mathematical model of nonlinear vibrations of a biologically active rod with consideration of the rheological factor. In Informatics & Data-Driven Medicine 2019 (pp. 30–42). CEUR-WS. http://hdl.handle.net/20.500.12708/41695 ( reposiTUm)

Auzinger, W., Stolyarchuk, R., & Stoliarchuk, R. (2019). Strongly damped Stiff Oscillator under External Force: A Case Study. In Proceedings of the 9-th International Youth Science Forum “Litteris et Artibus” (pp. 22–28). http://hdl.handle.net/20.500.12708/41696 ( reposiTUm)

Nytrebych, Z., Ilkiv, V., Malanchuk, O., & Auzinger, W. (2019). Investigation of mathematical model of acoustic wave propagation through relax environment in ultrasound diagnostics problems. In Informatics & Data-Driven Medicine 2019 (pp. 280–289). CEUR-WS. http://hdl.handle.net/20.500.12708/41608 ( reposiTUm)

Auzinger, W., Dronyuk, I., Fedevych, O., Klishch, Y., & Lipinski, P. (2018). Information technology of traffic modeling using the Ateb-functions theory for improving service delivery in eHealth systems and networks. In Proceedings of the 1st International Workshop on Informatics & Data-Driven Medicine (IDDM 2018) Lviv, Ukraine, November 28-30, 2018 (pp. 267–274). CEUR workshop proceedings. http://hdl.handle.net/20.500.12708/41613 ( 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)

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

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

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

Auzinger, W. (2013). Global error estimation in exponential integrators. In Modelling and Stability (pp. 26–27). DSMSI Dynamical System Modelling and Stability Investigation. http://hdl.handle.net/20.500.12708/41242 ( reposiTUm)

Reichl, I., & Auzinger, W. (2012). Kinematic Analysis of the Human Knee Joint: Comparison of Methods for the Axis of Rotation Calculation. In F. Breitenecker & I. Troch (Eds.), ARGESIM Report no. S38 - MATHMOD 2012 Full Paper Preprint Volume (p. 230). http://hdl.handle.net/20.500.12708/41129 ( reposiTUm)

Reichl, I., & Auzinger, W. (2012). Parameter Identification in Functional Axis Calculation for the Human Knee Joint. In Proceedings of the 10th International Symposium on Computer Methods in Biomechanics and Biomedical Engineering (CMBBE-2012). CMBBE 2012 (10th International Symposium on Computer Methods in Biomechanics and Biomedical Engineering), Berlin, EU. http://hdl.handle.net/20.500.12708/41132 ( reposiTUm)

Auzinger, W., Reichl, I., Schmiedmayer, H.-B., & Weinmüller, E. (2011). Knee joint kinematics: comparison of two optimization models with respect to data noise. In Proceedings of the GAMM 82nd Annual Scientific Conference, Graz, Austria, April 18-21, 2011 (p. 111). http://hdl.handle.net/20.500.12708/41059 ( reposiTUm)

Auzinger, W., & Lapinska, M. (2011). Rational multistep methods via modified phi_j - functions. In Proceedings of the GAMM 82nd Annual Scientific Conference, Graz, Austria, April 18-21, 2011 (p. 757). PAMM. http://hdl.handle.net/20.500.12708/41058 ( reposiTUm)

Reichl, I., Auzinger, W., Schmiedmayer, H. B., & Weinmüller, E. (2011). Model dependence of knee joint rotation angles. In Computer Methods in Biomechanics and Biomedical Engineering (pp. 77–79). International Society of Biomechanics. https://doi.org/10.1080/10255842.2011.592370 ( reposiTUm)

Reichl, I., Auzinger, W., Schmiedmayer, H. B., & Weinmüller, E. (2011). A study of constrained models for the kinematic analysis of the human knee joint. In Computer Methods in Biomechanics and Biomedical Engineering (pp. 77–79). Taylor & Francis. https://doi.org/10.1080/10255842.2011.592370 ( reposiTUm)

Auzinger, W. (2010). Error estimation techniques based on defect computation and global reconstruction. In International Conference on Numerical Analysis and Applied Mathematics (p. 4). American Institute of Physics. http://hdl.handle.net/20.500.12708/40956 ( reposiTUm)

Auzinger, W., Lehner, H., & Weinmüller, E. (2009). Defect-based a posteriori error estimation for index-1 DAEs with a singularity of the first kind. In Numerical Analysis and Applied Mathematics (pp. 1009–1012). AIP Conference Proceedings. http://hdl.handle.net/20.500.12708/40843 ( reposiTUm)

Weinmüller, E., Lehner, H., & Auzinger, W. (2007). Defect-based a-posteriori error estimation for differential algebraic equations. In Iciam 07 (pp. 1023101–1023102). PAMM. http://hdl.handle.net/20.500.12708/40691 ( 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)

Auzinger, W. (1991). Error structures and extrapolation in time for parabolic problems. In H. W. Alt (Ed.), Extrapolation and Defect Correction (Bonner Mathematische Schriften, Nr. 228) (pp. 41–56). GAMM. http://hdl.handle.net/20.500.12708/40552 ( reposiTUm)

Auzinger, W., Frank, R., & Macsek, F. (1988). On asymptotic expansions of the discretization error for stiff equations. In K. Strehmel (Ed.), `Numerical Treatment of Differential Equations’, Proceedings der NUMDIFF-4, Halle 1987 (Teubner-Texte zur Mathematik 104) (pp. 31–39). B.G.Teubner. http://hdl.handle.net/20.500.12708/40555 ( reposiTUm)

Auzinger, W., & Stetter, H. J. (1988). An elimination algorithm for the computation of all zeros of a system of multivariate polynomial equations. In ISMN 86 - Proceedings, `International Conference on Numerical Mathematics’, Singapore, 1988. (pp. 11–30). Birkhäuser. http://hdl.handle.net/20.500.12708/40553 ( reposiTUm)

Auzinger, W., & Stetter, H. J. (1982). Defect corrections and multigrid iterations. In `Multigrid Methods’, Proceedings, Köln-Porz, Nov. 1981; Lecture Notes in Mathematics 960. Springer. http://hdl.handle.net/20.500.12708/40554 ( reposiTUm)

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)

Auzinger, W. (2015). Defect Correction Methods. In B. Enquist (Ed.), Encyclopedia of Applied and Computational Mathematics (pp. 323–332). Springer Verlag. http://hdl.handle.net/20.500.12708/27533 ( reposiTUm)

Auzinger, W., & Frank, R. (1997). B-Convergence. In Encyclopedia of Mathematics, Supplement Vol. I (p. 71). Kluwer Academic Publishers. http://hdl.handle.net/20.500.12708/25081 ( reposiTUm)

Auzinger, W. (2023, March 16). Rekursion - Mathematik, Programmierung und menschliches Denken [Presentation]. TUforMath 2023, Wien, Austria. ( reposiTUm)

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)

Auer, F., Auzinger, W., Burkotova, J., Fallahpour, M., Rachunkova, I., & Weinmüller, E. (2021). Numerical Solution of Singular ODEs with Nonsmooth Data. ICNAAM 2021 - 19th International Conference on Numerical Analysis and Applied Mathematics, Rhodos, Greece. http://hdl.handle.net/20.500.12708/123287 ( reposiTUm)

Tsarev, S., Kytmanov, A., & Auzinger, W. (2020). Discrete orthogonal polynomials: anomalies of time series and boundary effects of polynomial filters. Workshop at Novosibirsk State University, Novosibirsk, Russian Federation (the). http://hdl.handle.net/20.500.12708/123062 ( 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)

Auzinger, W., Burkotova, J., Rachunkova, I., & Wenin, V. (2019). Numerical exploration of impulsive boundary value problems. Workshop on Numerical Solution of Integral and Differential Equations (NSIDE 2019), Gdansk, Poland. http://hdl.handle.net/20.500.12708/122767 ( 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)

Auzinger, W., & Jawecki, T. (2018). Introduction to Magnus Integrators. TU-D Workshop 2018, Langenlois, Austria. http://hdl.handle.net/20.500.12708/122428 ( reposiTUm)

Auzinger, W., Stolyarchuk, R., Dronyuk, I., & Fedevych, O. (2018). Моделювання комп’ютерних мереж пакетами Maple OMNeT++. VІi Міжнародна науково-практична конферен, Chernivtsi, Ukraine. http://hdl.handle.net/20.500.12708/122459 ( 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., Burkotova, J., Rachunkova, I., & Wenin, V. (2018). Numerical investigation of impulsive boundary value problems. FMI 50 - International scientific conference “Modern problems of mathematics and its application in natural sciences and information technologies,” Chernivtsi, Ukraine. http://hdl.handle.net/20.500.12708/122427 ( 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)

Auzinger, W. (2017). Adaptive integration of nonlinear evolution equations. CMFT 2017 - 8th International Conference Computational Methods and Function Theory, Lublin, Poland. http://hdl.handle.net/20.500.12708/121886 ( reposiTUm)

Auzinger, W., & Stolyarchuk, R. (2017). Companion matrix and stability analysis. CMFT 2017 - 8th International Conference Computational Methods and Function Theory, Lublin, Poland. http://hdl.handle.net/20.500.12708/121887 ( reposiTUm)

Auzinger, W., Burkotova, J., Rachunkova, I., & Wenin, V. (2017). Shooting methods for impulsive boundary value problems. DSMSI 2017 - Dynamical Systems Modeling and Stability Investigation, Kiew, Ukraine. http://hdl.handle.net/20.500.12708/121848 ( reposiTUm)

Auzinger, W., & Stolyarchuk, R. (2017). Stability analysis associated with companion matrices. DSMSI 2017 - Dynamical Systems Modeling and Stability Investigation, Kiew, Ukraine. http://hdl.handle.net/20.500.12708/121842 ( 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. (2016). Similarity to contraction: the companion matrix case. 9th NAI Workshop on Numerical Analysis of Evolution Equations, Innsbruck, Austria. http://hdl.handle.net/20.500.12708/121565 ( reposiTUm)

Auzinger, W. (2016). 0/0. Der Monat der freien Bildung, Mai 2016, Wien, Austria. http://hdl.handle.net/20.500.12708/121477 ( 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. (2016). Accurate a posteriori error estimation for boundary value problems via exact difference schemes. Boundary Value Problems, Functional Equations and Applications, 3rd Meeting, Rzeszów, Poland. http://hdl.handle.net/20.500.12708/121472 ( reposiTUm)

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

Auzinger, W. (2016). Distance to instability and norm dissipativity of second order ODEs. ICL-110: International Conference on Differential Equations Dedicated to the 110th Anniversary of Ya. B. Lopatynsky, Lviv, Ukraine. http://hdl.handle.net/20.500.12708/121515 ( reposiTUm)

Auzinger, W. (2016). Adaptive splitting methods for time integration. Mathematisches Seminar SibFU Krasnoyarsk, Krasnoyarsk, Russian Federation (the). http://hdl.handle.net/20.500.12708/121581 ( 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. (2016). An application of complex analysis to stability issues in multistep methods for differential equations. International Conference “Complex Analysis and Related Topics,” Lviv, Ukraine. http://hdl.handle.net/20.500.12708/121491 ( 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. (2015). Approximating the local error of one-step methods for nonlinear evolution equations. ICNODEA 2015 - International Conference on Nonlinear Operators, Differential Equations and Applications, Cluj-Napoca, Romania. http://hdl.handle.net/20.500.12708/121125 ( reposiTUm)

Auzinger, W., & Herfort, W. (2015). Singular polynomial systems. IWANASP 2015 - Fifth International Workshop on Analysis and Numerical Approximation of Singular Problems, Lagos, Nigeria. http://hdl.handle.net/20.500.12708/121185 ( reposiTUm)

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

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

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

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

Auzinger, W. (2015). Splitting Methods for Solving Evolution Equations. TAAC 2015 - V. international scientific conference of students and young scientists “Theoretical and Applied Aspects of Cybernetics,” Kiew, Ukraine. http://hdl.handle.net/20.500.12708/121222 ( reposiTUm)

Auzinger, W. (2014). Wollt ihr nicht kommutieren, so brauch ich Gewalt. Der Monat der freien Bildung, 05.-28.Mai 2014, Wien, Austria. http://hdl.handle.net/20.500.12708/120763 ( reposiTUm)

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

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

Auzinger, W. (2014). Combinatorial structure of the local error for exponential splitting methods. XV. International Conference devoted to the memory of Academian M. Kravchuk, Kiew, Non-EU. http://hdl.handle.net/20.500.12708/120762 ( reposiTUm)

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

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

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

Auzinger, W., & Stolyarchuk, R. (2013). Solving initial value problems by combining explicit and implicit exponential integrators. Functional Differential Equations, Danzig, EU. http://hdl.handle.net/20.500.12708/120355 ( reposiTUm)

Auzinger, W., & Stolyarchuk, R. (2013). Global error estimation in exponential integrators. DSMSI 2013 - Dynamical System Modeling and Stability Investigation, Kiew, Non-EU. http://hdl.handle.net/20.500.12708/120334 ( reposiTUm)

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

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

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)

Auzinger, W. (2012). Krylov subspace approximation of rational matrix functions. Workshop on Innovative Time Integration, Innsbruck, Austria. http://hdl.handle.net/20.500.12708/120021 ( reposiTUm)

Auzinger, W. (2012). Vorwärts oder hintenrum? Induktive Beweise und rekursive Algorithmen. Woche der freien Bildung 2012, Wien, Austria. http://hdl.handle.net/20.500.12708/120027 ( reposiTUm)

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

Auzinger, W. (2012). Lineare Algebra geometrisch verstehen. Street Lecture 2012, Wien, Austria. http://hdl.handle.net/20.500.12708/120042 ( reposiTUm)

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

Auzinger, W. (2012). Trigonometric numerical range and sectorial Hilbert space operators. International conference dedicated to 120-th anniversary of Stefan Banach, Lviv, Non-EU. http://hdl.handle.net/20.500.12708/120064 ( 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)

Auzinger, W., & Lapinska, M. (2011). Rational multistep integrators of Adams-Padé type. Workshop on Positivity, Györ, EU. http://hdl.handle.net/20.500.12708/119688 ( reposiTUm)

Auzinger, W. (2011). Defect Correction Techniques for A Posteriori Error Estimation. ICIAM 2011 - 7th International Congress on Industrial and Applied Mathematics, Vancouver, Non-EU. http://hdl.handle.net/20.500.12708/119735 ( reposiTUm)

Auzinger, W. (2011). Krylov subspace techniques for rational integrators. ÖMG-Tagung-CSASC 2011, Krems, Austria. http://hdl.handle.net/20.500.12708/119741 ( reposiTUm)

Auzinger, W., & Stolyarchuk, R. (2011). Rational multistep schemes for semilinear stiff systems. International Skorobogat’ko Mathematical Conference, Drohobych, Non-EU. http://hdl.handle.net/20.500.12708/119740 ( reposiTUm)

Auzinger, W. (2011). Exponential and rational multistep methods. Second joint Conference of Austrian and Mongolian Mathematicians, Ulaanbaatar, Non-EU. http://hdl.handle.net/20.500.12708/119758 ( reposiTUm)

Weinmüller, E., Reichl, I., Auzinger, W., & Schmiedmayer, H.-B. (2011). Constraints for the Optimization of the Human Knee Joint. 36me Congres de la Societé de Biomechanique, Besancon, EU. http://hdl.handle.net/20.500.12708/119980 ( reposiTUm)

Exl, L., Auzinger, W., Bance, S., & Schrefl, T. (2011). Magnetostatic Field Computations on Tensor Grids. ACOMEN 2011 - Advanced Computational Methods in Engineering, Liège, EU. http://hdl.handle.net/20.500.12708/119934 ( 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)

Auzinger, W. (2010). A posteriori error estimation techniques based on reconstruction via defect information. XIII. International Conference devoted to the memory of Academian M. Kravchuk, Kiew, Non-EU. http://hdl.handle.net/20.500.12708/119352 ( 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)

Auzinger, W. (2010). Wissenschaftliches Rechnen: Alles ist Approximation. Die Woche der freien Bildung (Veranstalter: HTU), Wien, Austria. http://hdl.handle.net/20.500.12708/119355 ( reposiTUm)

Auzinger, W. (2010). Exponential and rational multistep integrators. Innovative Integrators, Innsbruck, Austria. http://hdl.handle.net/20.500.12708/119362 ( reposiTUm)

Auzinger, W. (2010). A posteriori error estimation via exact finite difference schemes. BIT 50 - Trends in Numerical Computing, Lund, Non-EU. http://hdl.handle.net/20.500.12708/119380 ( reposiTUm)

Auzinger, W., Kramer, F., & Herfort, W. (2009). A closer look at BDF schemes and their stability. 17th ÖMG Congress / Annual DMV Conference, Graz, Austria. http://hdl.handle.net/20.500.12708/119031 ( reposiTUm)

Weinmüller, E., Auzinger, W., & Lehner, H. (2009). Asymptotically Correct Estimation for DAEs. SciCADE 09, Beijing, Non-EU. http://hdl.handle.net/20.500.12708/119240 ( 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)

Auzinger, W. (2009). Collocation, exact difference schemes, and defect estimators. Mathematisches Seminar, Polytechnische Universität Lviv, Lviv, Ukraine, Non-EU. http://hdl.handle.net/20.500.12708/118989 ( reposiTUm)

Auzinger, W. (2009). Herr Archimedes und der dumme Digitalrechner. Dr. Bertlmanns Socken - internes Weiterbildungsseminar der FH Technikum Wien, Wien, Austria. http://hdl.handle.net/20.500.12708/118980 ( 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)

Auzinger, W. (2008). Stability estimates via orthogonal polynomials. SDIDE - Stability and Discretization Issues in Differential Equations, Wien, Austria. http://hdl.handle.net/20.500.12708/118633 ( reposiTUm)

Auzinger, W., & Kramer, F. (2008). On the stability and error structure of BDF schemes applied to sectorial problems. 4th Austrian Numerical Analysis Day, Linz, Austria. http://hdl.handle.net/20.500.12708/118555 ( reposiTUm)

Auzinger, W. (2008). A framework for analyzing the stability of iterated Frobenius matrices via orthogonal polynomials. XII. International Conference devoted to the memory of Academian M. Kravchuk, Kiew, Non-EU. http://hdl.handle.net/20.500.12708/118559 ( reposiTUm)

Auzinger, W. (2008). Uniform bounds for powers of companion matrices, with application to difference schemes. Mathematisches Seminar, Universität Györ, Györ, EU. http://hdl.handle.net/20.500.12708/118567 ( reposiTUm)

Auzinger, W., Lehner, H., & Weinmüller, E. (2008). Efficient a posteriori error estimation for DAEs. GAMM-Jahrestagung 2008, Bremen, EU. http://hdl.handle.net/20.500.12708/118550 ( reposiTUm)

Auzinger, W. (2008). Stabilität von Matrixpotenzen. Wissenswertes aus der Mathematik, TU Wien, Wien, Austria. http://hdl.handle.net/20.500.12708/118551 ( reposiTUm)

Auzinger, W., Lehner, H., & Weinmüller, E. (2008). Quadrature-defect-based a-posteriori error estimates for differential-algebraic equations. 4th Austrian Numerical Analysis Day, Linz, Austria. http://hdl.handle.net/20.500.12708/118554 ( reposiTUm)

Weinmüller, E., Auzinger, W., & Lehner, H. (2008). Global error estimation for algebraic differential equations. GLADE 08, Auckland, Non-EU. http://hdl.handle.net/20.500.12708/118802 ( reposiTUm)

Weinmüller, E., Auzinger, W., & Lehner, H. (2008). Global error estimation for DAEs via modified defect. ECMI 08, London, EU. http://hdl.handle.net/20.500.12708/118801 ( reposiTUm)

Auzinger, W., & Kramer, F. (2007). On the stability and error structure of BDF schemes applied to sectorial problems. Time Integration of Evolution Equations, Innsbruck, Austria. http://hdl.handle.net/20.500.12708/118209 ( reposiTUm)

Auzinger, W. (2007). Stability and error analysis of BDF schemes for linear evolution equations. Mathematisches Seminar, Polytechnische Universität Lviv, Lviv, Ukraine, Non-EU. http://hdl.handle.net/20.500.12708/118215 ( 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)

Auzinger, W. (2006). Defect-based a-posteriori error estimation for implicit ODEs and DAEs. Workshop on Innovative Integrators for Differential and Delay Equations, Innsbruck, Austria. http://hdl.handle.net/20.500.12708/117829 ( reposiTUm)

Auzinger, W. (2006). An overview on defect-based a posteriori error estimation for ODEs and DAEs. International Conference dedicated to the 100th anniversary of M.M.Bogolyubov and to the 70th anniversary of M.I.Nahnybida, Chernivtsi, Ukraine, Non-EU. http://hdl.handle.net/20.500.12708/118990 ( 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)

Auzinger, W., & Herfort, W. (2005). A uniform quantitative stiff stability estimate for BDF schemes. CDDE 2005 - Conference on Differential and Differential Equations, Danzig, Austria. http://hdl.handle.net/20.500.12708/117487 ( reposiTUm)

Weinmüller, E., Auzinger, W., & Kitzhofer, G. (2005). Adaptive Grid Control for Singular BVPs. International Conference “Adaptivity and Beyond,” Vancouver, Canada, Austria. http://hdl.handle.net/20.500.12708/117493 ( 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., 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)

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. (2004). Defect Correction as a Familiy of Iterative Techniques for ODEs. CBC-Workshop, Vienna University of Technology, 13.Jul.2004, Vienna University of Technology, Austria. http://hdl.handle.net/20.500.12708/116838 ( reposiTUm)

Auzinger, W. (2004). Matrix exponentials and normalized numerical range. Institut für Technische Mathematik, Geometrie und Bauinformatik, Universität Innsbruck, Austria. http://hdl.handle.net/20.500.12708/116714 ( 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)

Auzinger, W., Hofstätter, H., Kreuzer, W., & Weinmüller, E. (2003). Defect correction techniques for stiff initial value problems. SciCADE 2003, Trondheim, Non-EU. http://hdl.handle.net/20.500.12708/116306 ( reposiTUm)

Auzinger, W., Hofstätter, H., Kreuzer, W., & Weinmüller, E. (2003). Defect correction as a family of iterative techniques for ODEs. SciCADE 2003, Trondheim, Non-EU. http://hdl.handle.net/20.500.12708/116305 ( 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)

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. (2002). Defektkorrekturtechniken in der Numerik von ODEs: Iteration, a-posteriori Fehlerschätzung, Variationen. Wissenswertes aus der Mathematik, TU Wien, Wien, Austria. http://hdl.handle.net/20.500.12708/116307 ( 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)

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)

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)

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., Burkotova, J., Rachunkova, I., & Wenin, V. (2018). Shooting methods for state-dependent impulsive boundary value problems, with applications (ASC Report 2/2018; pp. 1–19). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/30806 ( 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., & Herfort, W. (2015). An Application of Gröbner Bases to perturbed Polynomial Equations (ASC Report 01/2015; pp. 1–11). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/28525 ( reposiTUm)

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

Auzinger, W., Kassebacher, T., Koch, O., & Thalhammer, M. (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. (2013). A note on similarity to contraction for stable 2x2 companion matrices (ASC Report 01/2013; pp. 1–9). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/27777 ( reposiTUm)

Auzinger, W., & Herfort, W. (2013). Local error structures and order conditions in terms of Lie elements for exponential splitting schemes (ASC Report 23/2013; pp. 1–15). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/27975 ( reposiTUm)

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

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

Auzinger, W., & Tutz, M. (2012). A review of stability and error theory for collocation methods applied to linear boundary value problems (ASC Report 35/2012; pp. 1–10). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/27657 ( reposiTUm)

Auzinger, W., & Lapinska, M. (2011). Convergence of rational multistep methods of Adams-Padé type (ASC Report 05/2011). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/27119 ( 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)

Auzinger, W., Lehner, H., & Weinmüller, E. (2010). An efficient asymptotically correct error estimator for collocation solutions to singular index-1 DAEs (ASC Report 18/2010). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/26854 ( reposiTUm)

Auzinger, W. (2009). Normal forms for companion matrices and contractivity in inner product norms (ASC Report 24/2009). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/26438 ( reposiTUm)

Auzinger, W., & Kramer, F. (2009). On the stability and error structure of BDF schemes applied to linear parabolic evolution equations (ASC Report 29/2009). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/26449 ( reposiTUm)

Reichl, I., Auzinger, W., Schmiedmayer, H.-B., & Weinmüller, E. (2009). Reconstruting the knee joint mechnism from kinematic data (ASC Report 48/2009). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/26603 ( reposiTUm)

Auzinger, W., Lehner, H., & Weinmüller, E. (2007). Defect-based a posteriori error estimation for index-1 DAEs (ASC Report 20/2007). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/25137 ( 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)

Auzinger, W., & Fabianek, C. (2004). Iterative Solution of Large Linear Systems Arising in the 3-Dimensional Modelling of an Electric Field in Human Thigh. http://hdl.handle.net/20.500.12708/31649 ( reposiTUm)

Auzinger, W., Hofstätter, H., Kreuzer, W., & Weinmüller, E. (2003). Modified defect correction algorithms for ODEs. Part I: General theory. http://hdl.handle.net/20.500.12708/31602 ( 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)

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., Eder, A., & Frank, R. (2001). Extending convergence theory for nonlinear stiff problems, part II. http://hdl.handle.net/20.500.12708/31642 ( reposiTUm)

Auzinger, W., Frank, R., Kreuzer, W., & Weinmüller, E. (2001). Computergestützte Analyse verschiedener Varianten der Iterierten Defektkorrektur unter besonderer Berücksichtigung steifer Differentialgleichungen. http://hdl.handle.net/20.500.12708/31640 ( 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., Eder, A., & Frank, R. (2000). Eine erweiterte Konvergenztheorie impliziter Runge-Kutta Verfahren für nichtlineare steife Differentialgleichungen. http://hdl.handle.net/20.500.12708/31677 ( reposiTUm)

Auzinger, W., Frank, R., Hofstätter, H., & Weinmüller, E. (2000). Defektkorrektur zur numerischen Lösung steifer Anfangswertprobleme. http://hdl.handle.net/20.500.12708/31678 ( 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)

Auzinger, W., Kofler, P., & Weinmüller, E. (1998). Steuerungsmaßnahmen bei numerischer Lösung singulärer Anfangswertaufgaben. http://hdl.handle.net/20.500.12708/31681 ( reposiTUm)

Auzinger, W., Eder, A., & Frank, R. (1998). Convergence theory for implicit Runge-Kutta methods applied to a one-parameter family of stiff autonomous differential equations. http://hdl.handle.net/20.500.12708/31680 ( reposiTUm)

Auzinger, W., Trieb, P., & Weinmüller, E. (1994). Beschleunigte Algorithmen zur Lösung von singulären Randwertaufgaben. http://hdl.handle.net/20.500.12708/31682 ( reposiTUm)

Auzinger, W., Frank, R., & Weinmüller, E. (1992). On the efficient numerical integration of conservation laws with stiff source terms. http://hdl.handle.net/20.500.12708/31683 ( reposiTUm)

Auzinger, W., & Stetter, H. J. (1989). A study of numerical elimination for the solution of multivariate polynomial systems. http://hdl.handle.net/20.500.12708/31684 ( reposiTUm)

Auzinger, W., & Frank, R. (1988). Asymptotic error expansions for stiff equations: The implicit midpoint rule. http://hdl.handle.net/20.500.12708/31685 ( reposiTUm)

Auzinger, W., Frank, R., & Macsek, F. (1986). Asymptotic error expansions for stiff equations. Part 1: The strongly stiff case. http://hdl.handle.net/20.500.12708/31687 ( reposiTUm)

Auzinger, W., Frank, R., & Macsek, F. (1986). Asymptotic error expansions for stiff equations. Part 2: The mildly stiff case. http://hdl.handle.net/20.500.12708/31688 ( reposiTUm)

Auzinger, W. (1985). DCMG01: A multigrid code with defect correction to solve \Delta U - c(x,y)U = f(x,y) on \Omega, U = g(x,y) on \partial\Omega, on nonrectangular bounded domains \Omega with high accuracy. http://hdl.handle.net/20.500.12708/31686 ( reposiTUm)