Othmar Koch

Publication Activity (10 Years)

Years Active: 2001-2023
Publications (10 Years): 16

Top Topics

Top Venues

J. Comput. Appl. Math.

Numer. Algorithms

Publications

Othmar Koch, Koray Acar, Winfried Auzinger, Friedrich Kupka, Benedikt Moser
Adaptive exponential multi-operator splitting for MHD. CoRR (2023)
Winfried Auzinger, Juliette Dubois, Karsten Held, Harald Hofstätter, Tobias Jawecki, Anna Kauch, Othmar Koch, Karolina Kropielnicka, Pranav Singh, Clemens Watzenböck
Efficient Magnus-type integrators for solar energy conversion in Hubbard models. CoRR (2021)
Winfried Auzinger, Lukas Einramhof, Karsten Held, Anna Kauch, Othmar Koch, Clemens Watzenböck, Ewa Weinmüller
Efficient Adaptive Computation of the Dynamics of Mott Transistors. CoRR (2021)
Harald Hofstätter, Winfried Auzinger, Othmar Koch
An Algorithm for Computing Coefficients of Words in Expressions Involving Exponentials and Its Application to the Construction of Exponential Integrators. CASC (2019)
Winfried Auzinger, Iva Brezinová, Harald Hofstätter, Othmar Koch, Michael Quell
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. Comput. Phys. Commun. 234 (2019)
Winfried Auzinger, Harald Hofstätter, Othmar Koch
Non-existence of generalized splitting methods with positive coefficients of order higher than four. Appl. Math. Lett. 97 (2019)
Harald Hofstätter, Winfried Auzinger, Othmar Koch
An Algorithm for Computing Coefficients of Words in Expressions Involving Exponentials and its Application to the Construction of Exponential Integrators. CoRR (2019)
Winfried Auzinger, Harald Hofstätter, Othmar Koch
Symmetrized local error estimators for time-reversible one-step methods in nonlinear evolution equations. J. Comput. Appl. Math. 356 (2019)
Winfried Auzinger, Alexander Grosz, Harald Hofstätter, Othmar Koch
Adaptive Exponential Integrators for MCTDHF. LSSC (2019)
Harald Hofstätter, Othmar Koch
Non-satisfiability of a positivity condition for commutator-free exponential integrators of order higher than four. Numerische Mathematik 141 (3) (2019)
Winfried Auzinger, Harald Hofstätter, Othmar Koch, Karolina Kropielnicka, Pranav Singh
Time adaptive Zassenhaus splittings for the Schrödinger equation in the semiclassical regime. Appl. Math. Comput. 362 (2019)
Winfried Auzinger, Othmar Koch
An improved local error estimator for symmetric time-stepping schemes. Appl. Math. Lett. 82 (2018)
Winfried Auzinger, Othmar Koch, Michael Quell
Adaptive high-order splitting methods for systems of nonlinear evolution equations with periodic boundary conditions. Numer. Algorithms 75 (1) (2017)
Winfried Auzinger, Thomas Kassebacher, Othmar Koch, Mechthild Thalhammer
Adaptive splitting methods for nonlinear Schrödinger equations in the semiclassical regime. Numer. Algorithms 72 (1) (2016)
Winfried Auzinger, Harald Hofstätter, Othmar Koch
Symbolic Manipulation of Flows of Nonlinear Evolution Equations, with Application in the Analysis of Split-Step Time Integrators. CASC (2016)
Winfried Auzinger, Wolfgang Herfort, Harald Hofstätter, Othmar Koch
Setup of Order Conditions for Splitting Methods. CASC (2016)
Winfried Auzinger, Harald Hofstätter, Othmar Koch, Mechthild Thalhammer
Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part III: The nonlinear case. J. Comput. Appl. Math. 273 (2015)
Winfried Auzinger, Othmar Koch, Mechthild Thalhammer
Defect-based local error estimators for high-order splitting methods involving three linear operators. Numer. Algorithms 70 (1) (2015)
Inmaculada Higueras, Natalie Happenhofer, Othmar Koch, Friedrich Kupka
Optimized strong stability preserving IMEX Runge-Kutta methods. J. Comput. Appl. Math. 272 (2014)
Pierluigi Amodio, C. J. Budd, Othmar Koch, Giuseppina Settanni, Ewa Weinmüller
Asymptotical computations for a model of flow in saturated porous media. Appl. Math. Comput. 237 (2014)
Harald Hofstätter, Othmar Koch
An approximate eigensolver for self-consistent field calculations. Numer. Algorithms 66 (3) (2014)
Winfried Auzinger, Othmar Koch, Mechthild Thalhammer
Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part II. Higher-order methods for linear problems. J. Comput. Appl. Math. 255 (2014)
Harald Hofstätter, Othmar Koch, Mechthild Thalhammer
Convergence analysis of high-order time-splitting pseudo-spectral methods for rotational Gross-Pitaevskii equations. Numerische Mathematik 127 (2) (2014)
Alexander Dick, Othmar Koch, Roswitha März, Ewa Weinmüller
Convergence of collocation schemes for boundary value problems in nonlinear index 1 DAEs with a singular point. Math. Comput. 82 (282) (2013)
Friedrich Kupka, Natalie Happenhofer, Inmaculada Higueras, Othmar Koch
Total-variation-diminishing implicit-explicit Runge-Kutta methods for the simulation of double-diffusive convection in astrophysics. J. Comput. Phys. 231 (9) (2012)
Winfried Auzinger, Othmar Koch, Mechthild Thalhammer
Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part I: The linear case. J. Comput. Appl. Math. 236 (10) (2012)
Othmar Koch, Roswitha März, Dirk Praetorius, Ewa Weinmüller
Collocation methods for index 1 DAEs with a singularity of the first kind. Math. Comput. 79 (269) (2010)
Robert Hammerling, Othmar Koch, Christa Simon, Ewa Weinmüller
Numerical solution of singular ODE eigenvalue problems in electronic structure computations. Comput. Phys. Commun. 181 (9) (2010)
Othmar Koch, Christopher Ede, Gerald Jordan, Armin Scrinzi
Hierarchical Matrices in Computations of Electron Dynamics. J. Sci. Comput. 42 (3) (2010)
Othmar Koch, Christian Lubich
Dynamical Tensor Approximation. SIAM J. Matrix Anal. Appl. 31 (5) (2010)
Peter Blaha, Harald Hofstätter, Othmar Koch, R. Laskowski, K. Schwarz
Iterative diagonalization in augmented plane wave based methods in electronic structure calculations. J. Comput. Phys. 229 (2) (2010)
G. Kitzhofer, Othmar Koch, Pedro Miguel Lima, Ewa Weinmüller
Efficient Numerical Solution of the Density Profile Equation in Hydrodynamics. J. Sci. Comput. 32 (3) (2007)
Othmar Koch, Christian Lubich
Dynamical Low-Rank Approximation. SIAM J. Matrix Anal. Appl. 29 (2) (2007)
G. Kitzhofer, Othmar Koch, Pedro Miguel Lima, Ewa Weinmüller
Efficient Numerical Solution of the Density Profile Equation in Hydrodynamics. J. Sci. Comput. 32 (3) (2007)
Harald Hofstätter, Othmar Koch
Analysis of a defect correction method for geometric integrators. Numer. Algorithms 41 (2) (2006)
Othmar Koch, Wolfgang Kreuzer, Armin Scrinzi
Approximation of the time-dependent electronic Schrödinger equation by MCTDHF. Appl. Math. Comput. 173 (2) (2006)
C. J. Budd, Othmar Koch, Ewa Weinmüller
Computation of Self-similar Solution Profiles for the Nonlinear Schrödinger Equation. Computing 77 (4) (2006)
Winfried Auzinger, Othmar Koch, Dirk Praetorius, Ewa Weinmüller
New a posteriori error estimates for singular boundary value problems. Numer. Algorithms 40 (1) (2005)
Winfried Auzinger, Othmar Koch, Ewa Weinmüller
Analysis of a New Error Estimate for Collocation Methods Applied to Singular Boundary Value Problems. SIAM J. Numer. Anal. 42 (6) (2005)
Othmar Koch
Asymptotically correct error estimation for collocation methods applied to singular boundary value problems. Numerische Mathematik 101 (1) (2005)
Othmar Koch, Ewa Weinmüller
Analytical and numerical treatment of a singular initial value problem in avalanche modeling. Appl. Math. Comput. 148 (2) (2004)
Winfried Auzinger, Othmar Koch, Ewa Weinmüller
Collocation Methods for Boundary Value Problems with an Essential Singularity. LSSC (2003)
Winfried Auzinger, Günter Kneisl, Othmar Koch, Ewa Weinmüller
A Collocation Code for Singular Boundary Value Problems in Ordinary Differential Equations. Numer. Algorithms 33 (1-4) (2003)
Othmar Koch, K. Heinz Weigl
Traffic and road planning simulation: modeling ambulance service of the austrian Red Cross. WSC (2003)
Othmar Koch, Ewa Weinmüller
The convergence of shooting methods for singular boundary value problems. Math. Comput. 72 (241) (2003)
Winfried Auzinger, Othmar Koch, Ewa Weinmüller
Efficient Collocation Schemes for Singular Boundary Value Problems. Numer. Algorithms 31 (1-4) (2002)
Othmar Koch, Ewa B. Weinmüller
Iterated Defect Correction for the Solution of Singular Initial Value Problems. SIAM J. Numer. Anal. 38 (6) (2001)
Winfried Auzinger, Othmar Koch, Ewa Weinmüller
Theory and Solution Techniques for Singular Boundary Value Problems in Ordinary Differential Equations. PPAM (2001)