Othmar Koch

According to our database, Othmar Koch authored at least 46 papers between 2001 and 2023.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of five.

2023

Adaptive exponential multi-operator splitting for MHD.

Othmar Koch, Koray Acar, Winfried Auzinger, Friedrich Kupka, Benedikt Moser

CoRR, 2023

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

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, Clemens Watzenböck

CoRR, 2021

2019

Non-satisfiability of a positivity condition for commutator-free exponential integrators of order higher than four.

Harald Hofstätter, Othmar Koch

Numerische Mathematik, 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

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

Non-existence of generalized splitting methods with positive coefficients of order higher than four.

Winfried Auzinger, Harald Hofstätter, Othmar Koch

Appl. Math. Lett., 2019

Time adaptive Zassenhaus splittings for the Schrödinger equation in the semiclassical regime.

Winfried Auzinger, Harald Hofstätter, Othmar Koch, Karolina Kropielnicka, Pranav Singh

Appl. Math. Comput., 2019

Adaptive Exponential Integrators for MCTDHF.

Winfried Auzinger, Alexander Grosz, Harald Hofstätter, Othmar Koch

Proceedings of the Large-Scale Scientific Computing - 12th International Conference, 2019

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

Proceedings of the Computer Algebra in Scientific Computing - 21st International Workshop, 2019

2018

An improved local error estimator for symmetric time-stepping schemes.

Winfried Auzinger, Othmar Koch

Appl. Math. Lett., 2018

2017

Adaptive high-order splitting methods for systems of nonlinear evolution equations with periodic boundary conditions.

Winfried Auzinger, Othmar Koch, Michael Quell

Numer. Algorithms, 2017

2016

Adaptive splitting methods for nonlinear Schrödinger equations in the semiclassical regime.

Winfried Auzinger, Thomas Kassebacher, Othmar Koch, Mechthild Thalhammer

Numer. Algorithms, 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

Proceedings of the Computer Algebra in Scientific Computing - 18th International Workshop, 2016

Setup of Order Conditions for Splitting Methods.

Winfried Auzinger, Wolfgang Herfort, Harald Hofstätter, Othmar Koch

Proceedings of the Computer Algebra in Scientific Computing - 18th International Workshop, 2016

2015

Defect-based local error estimators for high-order splitting methods involving three linear operators.

Winfried Auzinger, Othmar Koch, Mechthild Thalhammer

Numer. Algorithms, 2015

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

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

An approximate eigensolver for self-consistent field calculations.

Harald Hofstätter, Othmar Koch

Numer. Algorithms, 2014

Optimized strong stability preserving IMEX Runge-Kutta methods.

Inmaculada Higueras, Natalie Happenhofer, Othmar Koch, Friedrich Kupka

J. Comput. Appl. Math., 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

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

2013

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

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

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

2010

Dynamical Tensor Approximation.

Othmar Koch, Christian Lubich

SIAM J. Matrix Anal. Appl., 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

Hierarchical Matrices in Computations of Electron Dynamics.

Othmar Koch, Christopher Ede, Gerald Jordan, Armin Scrinzi

J. Sci. Comput., 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

Numerical solution of singular ODE eigenvalue problems in electronic structure computations.

Robert Hammerling, Othmar Koch, Christa Simon, Ewa Weinmüller

Comput. Phys. Commun., 2010

2007

Dynamical Low-Rank Approximation.

Othmar Koch, Christian Lubich

SIAM J. Matrix Anal. Appl., 2007

Efficient Numerical Solution of the Density Profile Equation in Hydrodynamics.

G. Kitzhofer, Othmar Koch, Pedro Miguel Lima, Ewa Weinmüller

J. Sci. Comput., 2007

2006

Analysis of a defect correction method for geometric integrators.

Harald Hofstätter, Othmar Koch

Numer. Algorithms, 2006

Computation of Self-similar Solution Profiles for the Nonlinear Schrödinger Equation.

C. J. Budd, Othmar Koch, Ewa Weinmüller

Computing, 2006

Approximation of the time-dependent electronic Schrödinger equation by MCTDHF.

Othmar Koch, Wolfgang Kreuzer, Armin Scrinzi

Appl. Math. Comput., 2006

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

Asymptotically correct error estimation for collocation methods applied to singular boundary value problems.

Othmar Koch

Numerische Mathematik, 2005

New a posteriori error estimates for singular boundary value problems.

Winfried Auzinger, Othmar Koch, Dirk Praetorius, Ewa Weinmüller

Numer. Algorithms, 2005

2004

Analytical and numerical treatment of a singular initial value problem in avalanche modeling.

Othmar Koch, Ewa Weinmüller

Appl. Math. Comput., 2004

2003

A Collocation Code for Singular Boundary Value Problems in Ordinary Differential Equations.

Winfried Auzinger, Günter Kneisl, Othmar Koch, Ewa Weinmüller

Numer. Algorithms, 2003

The convergence of shooting methods for singular boundary value problems.

Othmar Koch, Ewa Weinmüller

Math. Comput., 2003

Traffic and road planning simulation: modeling ambulance service of the austrian Red Cross.

Othmar Koch, K. Heinz Weigl

Proceedings of the 35th Winter Simulation Conference: Driving Innovation, 2003

Collocation Methods for Boundary Value Problems with an Essential Singularity.

Winfried Auzinger, Othmar Koch, Ewa Weinmüller

Proceedings of the Large-Scale Scientific Computing, 4th International Conference, 2003

2002

Efficient Collocation Schemes for Singular Boundary Value Problems.

Winfried Auzinger, Othmar Koch, Ewa Weinmüller

Numer. Algorithms, 2002

2001

Iterated Defect Correction for the Solution of Singular Initial Value Problems.

Othmar Koch, Ewa B. Weinmüller

SIAM J. Numer. Anal., 2001

Theory and Solution Techniques for Singular Boundary Value Problems in Ordinary Differential Equations.

Winfried Auzinger, Othmar Koch, Ewa Weinmüller

Proceedings of the Parallel Processing and Applied Mathematics, 2001