Theory and Solution Techniques for Singular Boundary Value Problems in Ordinary Differential Equations. - Winfried Auzinger; Othmar Koch; Ewa Weinmüller (PPAM, 2001)

Iterated Defect Correction for the Solution of Singular Initial Value Problems. - Othmar Koch; Ewa B. Weinmüller (SIAM J. Numer. Anal., 2001)

Efficient Collocation Schemes for Singular Boundary Value Problems. - Winfried Auzinger; Othmar Koch; Ewa Weinmüller (Numer. Algorithms, 2002)

Collocation Methods for Boundary Value Problems with an Essential Singularity. - Winfried Auzinger; Othmar Koch; Ewa Weinmüller (LSSC, 2003)

Traffic and road planning simulation: modeling ambulance service of the austrian Red Cross. - Othmar Koch; K. Heinz Weigl (WSC, 2003)

The convergence of shooting methods for singular boundary value problems. - Othmar Koch; Ewa Weinmüller (Math. Comput., 2003)

A Collocation Code for Singular Boundary Value Problems in Ordinary Differential Equations. - Winfried Auzinger; Günter Kneisl; Othmar Koch; Ewa Weinmüller (Numer. Algorithms, 2003)

Analytical and numerical treatment of a singular initial value problem in avalanche modeling. - Othmar Koch; Ewa Weinmüller (Appl. Math. Comput., 2004)

New a posteriori error estimates for singular boundary value problems. - Winfried Auzinger; Othmar Koch; Dirk Praetorius; Ewa Weinmüller (Numer. Algorithms, 2005)

Asymptotically correct error estimation for collocation methods applied to singular boundary value problems. - Othmar Koch (Numerische Mathematik, 2005)

Analysis of a New Error Estimate for Collocation Methods Applied to Singular Boundary Value Problems. - Winfried Auzinger; Othmar Koch; Ewa Weinmüller (SIAM J. Numer. Anal., 2005)

Approximation of the time-dependent electronic Schrödinger equation by MCTDHF. - Othmar Koch; Wolfgang Kreuzer; Armin Scrinzi (Appl. Math. Comput., 2006)

Computation of Self-similar Solution Profiles for the Nonlinear Schrödinger Equation. - C. J. Budd; Othmar Koch; Ewa Weinmüller (Computing, 2006)

Analysis of a defect correction method for geometric integrators. - Harald Hofstätter; Othmar Koch (Numer. Algorithms, 2006)

Efficient Numerical Solution of the Density Profile Equation in Hydrodynamics. - G. Kitzhofer; Othmar Koch; Pedro Miguel Lima; Ewa Weinmüller (J. Sci. Comput., 2007)

Dynamical Low-Rank Approximation. - Othmar Koch; Christian Lubich (SIAM J. Matrix Anal. Appl., 2007)

Numerical solution of singular ODE eigenvalue problems in electronic structure computations. - Robert Hammerling; Othmar Koch; Christa Simon; Ewa Weinmüller (Comput. Phys. Commun., 2010)

Iterative diagonalization in augmented plane wave based methods in electronic structure calculations. - Peter Blaha; Harald Hofstätter; Othmar Koch; R. Laskowski; K. Schwarz (J. Comput. Phys., 2010)

Hierarchical Matrices in Computations of Electron Dynamics. - Othmar Koch; Christopher Ede; Gerald Jordan; Armin Scrinzi (J. Sci. Comput., 2010)

Collocation methods for index 1 DAEs with a singularity of the first kind. - Othmar Koch; Roswitha März; Dirk Praetorius; Ewa Weinmüller (Math. Comput., 2010)

Dynamical Tensor Approximation. - Othmar Koch; Christian Lubich (SIAM J. Matrix Anal. Appl., 2010)

Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part I: The linear case. - Winfried Auzinger; Othmar Koch; Mechthild Thalhammer (J. Comput. Appl. Math., 2012)

Total-variation-diminishing implicit-explicit Runge-Kutta methods for the simulation of double-diffusive convection in astrophysics. - Friedrich Kupka; Natalie Happenhofer; Inmaculada Higueras; Othmar Koch (J. Comput. Phys., 2012)

Convergence of collocation schemes for boundary value problems in nonlinear index 1 DAEs with a singular point. - Alexander Dick; Othmar Koch; Roswitha März; Ewa Weinmüller (Math. Comput., 2013)

Asymptotical computations for a model of flow in saturated porous media. - Pierluigi Amodio; C. J. Budd; Othmar Koch; Giuseppina Settanni; Ewa Weinmüller (Appl. Math. Comput., 2014)

Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part II. Higher-order methods for linear problems. - Winfried Auzinger; Othmar Koch; Mechthild Thalhammer (J. Comput. Appl. Math., 2014)

Optimized strong stability preserving IMEX Runge-Kutta methods. - Inmaculada Higueras; Natalie Happenhofer; Othmar Koch; Friedrich Kupka (J. Comput. Appl. Math., 2014)

An approximate eigensolver for self-consistent field calculations. - Harald Hofstätter; Othmar Koch (Numer. Algorithms, 2014)

Convergence analysis of high-order time-splitting pseudo-spectral methods for rotational Gross-Pitaevskii equations. - Harald Hofstätter; Othmar Koch; Mechthild Thalhammer (Numerische Mathematik, 2014)

Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part III: The nonlinear case. - Winfried Auzinger; Harald Hofstätter; Othmar Koch; Mechthild Thalhammer (J. Comput. Appl. Math., 2015)

Defect-based local error estimators for high-order splitting methods involving three linear operators. - Winfried Auzinger; Othmar Koch; Mechthild Thalhammer (Numer. Algorithms, 2015)

Setup of Order Conditions for Splitting Methods. - Winfried Auzinger; Wolfgang Herfort; Harald Hofstätter; Othmar Koch (CASC, 2016)

Symbolic Manipulation of Flows of Nonlinear Evolution Equations, with Application in the Analysis of Split-Step Time Integrators. - Winfried Auzinger; Harald Hofstätter; Othmar Koch (CASC, 2016)

Adaptive splitting methods for nonlinear Schrödinger equations in the semiclassical regime. - Winfried Auzinger; Thomas Kassebacher; Othmar Koch; Mechthild Thalhammer (Numer. Algorithms, 2016)

Adaptive high-order splitting methods for systems of nonlinear evolution equations with periodic boundary conditions. - Winfried Auzinger; Othmar Koch; Michael Quell (Numer. Algorithms, 2017)

An improved local error estimator for symmetric time-stepping schemes. - Winfried Auzinger; Othmar Koch (Appl. Math. Lett., 2018)

An Algorithm for Computing Coefficients of Words in Expressions Involving Exponentials and Its Application to the Construction of Exponential Integrators. - Harald Hofstätter; Winfried Auzinger; Othmar Koch (CASC, 2019)

Adaptive Exponential Integrators for MCTDHF. - Winfried Auzinger; Alexander Grosz; Harald Hofstätter; Othmar Koch (LSSC, 2019)

Time adaptive Zassenhaus splittings for the Schrödinger equation in the semiclassical regime. - Winfried Auzinger; Harald Hofstätter; Othmar Koch; Karolina Kropielnicka; Pranav Singh 001 (Appl. Math. Comput., 2019)

Non-existence of generalized splitting methods with positive coefficients of order higher than four. - Winfried Auzinger; Harald Hofstätter; Othmar Koch (Appl. Math. Lett., 2019)

Practical splitting methods for the adaptive integration of nonlinear evolution equations. Part II: Comparisons of local error estimation and step-selection strategies for nonlinear Schrödinger and wave equations. - Winfried Auzinger; Iva Brezinová; Harald Hofstätter; Othmar Koch; Michael Quell (Comput. Phys. Commun., 2019)

Symmetrized local error estimators for time-reversible one-step methods in nonlinear evolution equations. - Winfried Auzinger; Harald Hofstätter; Othmar Koch (J. Comput. Appl. Math., 2019)

Non-satisfiability of a positivity condition for commutator-free exponential integrators of order higher than four. - Harald Hofstätter; Othmar Koch (Numerische Mathematik, 2019)

Efficient Magnus-type integrators for solar energy conversion in Hubbard models. - Winfried Auzinger; Juliette Dubois; Karsten Held; Harald Hofstätter; Tobias Jawecki; Anna Kauch; Othmar Koch; Karolina Kropielnicka; Pranav Singh 001; Clemens Watzenböck (CoRR, 2021)

Efficient Adaptive Computation of the Dynamics of Mott Transistors. - Winfried Auzinger; Lukas Einramhof; Karsten Held; Anna Kauch; Othmar Koch; Clemens Watzenböck; Ewa Weinmüller (CoRR, 2021)

Adaptive exponential multi-operator splitting for MHD. - Othmar Koch; Koray Acar; Winfried Auzinger; Friedrich Kupka; Benedikt Moser (CoRR, 2023)