Othmar Koch

According to our database1, Othmar Koch authored at least 43 papers between 2001 and 2019.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of five.

Timeline

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Bibliography

2019
Non-satisfiability of a positivity condition for commutator-free exponential integrators of order higher than four.
Numerische Mathematik, 2019

Symmetrized local error estimators for time-reversible one-step methods in nonlinear evolution equations.
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.
Comput. Phys. Commun., 2019

Non-existence of generalized splitting methods with positive coefficients of order higher than four.
Appl. Math. Lett., 2019

Time adaptive Zassenhaus splittings for the Schrödinger equation in the semiclassical regime.
Appl. Math. Comput., 2019

Adaptive Exponential Integrators for MCTDHF.
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.
Proceedings of the Computer Algebra in Scientific Computing - 21st International Workshop, 2019

2018
An improved local error estimator for symmetric time-stepping schemes.
Appl. Math. Lett., 2018

2017
Adaptive high-order splitting methods for systems of nonlinear evolution equations with periodic boundary conditions.
Numer. Algorithms, 2017

2016
Adaptive splitting methods for nonlinear Schrödinger equations in the semiclassical regime.
Numer. Algorithms, 2016

Symbolic Manipulation of Flows of Nonlinear Evolution Equations, with Application in the Analysis of Split-Step Time Integrators.
Proceedings of the Computer Algebra in Scientific Computing - 18th International Workshop, 2016

Setup of Order Conditions for Splitting Methods.
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.
Numer. Algorithms, 2015

Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part III: The nonlinear case.
J. Comput. Appl. Math., 2015

2014
Convergence analysis of high-order time-splitting pseudo-spectral methods for rotational Gross-Pitaevskii equations.
Numerische Mathematik, 2014

An approximate eigensolver for self-consistent field calculations.
Numer. Algorithms, 2014

Optimized strong stability preserving IMEX Runge-Kutta methods.
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.
J. Comput. Appl. Math., 2014

Asymptotical computations for a model of flow in saturated porous media.
Appl. Math. Comput., 2014

2013
Convergence of collocation schemes for boundary value problems in nonlinear index 1 DAEs with a singular point.
Math. Comput., 2013

2012
Total-variation-diminishing implicit-explicit Runge-Kutta methods for the simulation of double-diffusive convection in astrophysics.
J. Comput. Phys., 2012

Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part I: The linear case.
J. Comput. Appl. Math., 2012

2010
Dynamical Tensor Approximation.
SIAM J. Matrix Anal. Appl., 2010

Collocation methods for index 1 DAEs with a singularity of the first kind.
Math. Comput., 2010

Hierarchical Matrices in Computations of Electron Dynamics.
J. Sci. Comput., 2010

Iterative diagonalization in augmented plane wave based methods in electronic structure calculations.
J. Comput. Phys., 2010

Numerical solution of singular ODE eigenvalue problems in electronic structure computations.
Comput. Phys. Commun., 2010

2007
Dynamical Low-Rank Approximation.
SIAM J. Matrix Anal. Appl., 2007

Efficient Numerical Solution of the Density Profile Equation in Hydrodynamics.
J. Sci. Comput., 2007

2006
Analysis of a defect correction method for geometric integrators.
Numer. Algorithms, 2006

Computation of Self-similar Solution Profiles for the Nonlinear Schrödinger Equation.
Computing, 2006

Approximation of the time-dependent electronic Schrödinger equation by MCTDHF.
Appl. Math. Comput., 2006

2005
Analysis of a New Error Estimate for Collocation Methods Applied to Singular Boundary Value Problems.
SIAM J. Numer. Anal., 2005

Asymptotically correct error estimation for collocation methods applied to singular boundary value problems.
Numerische Mathematik, 2005

New a posteriori error estimates for singular boundary value problems.
Numer. Algorithms, 2005

2004
Analytical and numerical treatment of a singular initial value problem in avalanche modeling.
Appl. Math. Comput., 2004

2003
A Collocation Code for Singular Boundary Value Problems in Ordinary Differential Equations.
Numer. Algorithms, 2003

The convergence of shooting methods for singular boundary value problems.
Math. Comput., 2003

Traffic and road planning simulation: modeling ambulance service of the austrian Red Cross.
Proceedings of the 35th Winter Simulation Conference: Driving Innovation, 2003

Collocation Methods for Boundary Value Problems with an Essential Singularity.
Proceedings of the Large-Scale Scientific Computing, 4th International Conference, 2003

2002
Efficient Collocation Schemes for Singular Boundary Value Problems.
Numer. Algorithms, 2002

2001
Iterated Defect Correction for the Solution of Singular Initial Value Problems.
SIAM J. Numer. Anal., 2001

Theory and Solution Techniques for Singular Boundary Value Problems in Ordinary Differential Equations.
Proceedings of the Parallel Processing and Applied Mathematics, 2001


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