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Othmar Koch
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2020 – today
- 2023
- [i4]Othmar Koch, Koray Acar, Winfried Auzinger, Friedrich Kupka, Benedikt Moser:
Adaptive exponential multi-operator splitting for MHD. CoRR abs/2302.01092 (2023) - 2021
- [i3]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 abs/2104.02034 (2021) - [i2]Winfried Auzinger, Lukas Einramhof, Karsten Held, Anna Kauch, Othmar Koch, Clemens Watzenböck, Ewa Weinmüller:
Efficient Adaptive Computation of the Dynamics of Mott Transistors. CoRR abs/2111.15505 (2021)
2010 – 2019
- 2019
- [j37]Winfried Auzinger
Time adaptive Zassenhaus splittings for the Schrödinger equation in the semiclassical regime. Appl. Math. Comput. 362 (2019) - [j36]Winfried Auzinger
Non-existence of generalized splitting methods with positive coefficients of order higher than four. Appl. Math. Lett. 97: 48-52 (2019) - [j35]Winfried Auzinger
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: 55-71 (2019) - [j34]Winfried Auzinger
Symmetrized local error estimators for time-reversible one-step methods in nonlinear evolution equations. J. Comput. Appl. Math. 356: 339-357 (2019) - [j33]Harald Hofstätter, Othmar Koch
Non-satisfiability of a positivity condition for commutator-free exponential integrators of order higher than four. Numerische Mathematik 141(3): 681-691 (2019) - [c7]Harald Hofstätter
An Algorithm for Computing Coefficients of Words in Expressions Involving Exponentials and Its Application to the Construction of Exponential Integrators. CASC 2019: 197-214 - [c6]Winfried Auzinger
Adaptive Exponential Integrators for MCTDHF. LSSC 2019: 557-565 - [i1]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 abs/1912.01399 (2019) - 2018
- [j32]Winfried Auzinger, Othmar Koch
An improved local error estimator for symmetric time-stepping schemes. Appl. Math. Lett. 82: 106-110 (2018) - 2017
- [j31]Winfried Auzinger, Othmar Koch
Adaptive high-order splitting methods for systems of nonlinear evolution equations with periodic boundary conditions. Numer. Algorithms 75(1): 261-283 (2017) - 2016
- [j30]Winfried Auzinger, Thomas Kassebacher, Othmar Koch
Adaptive splitting methods for nonlinear Schrödinger equations in the semiclassical regime. Numer. Algorithms 72(1): 1-35 (2016) - [c5]Winfried Auzinger, Wolfgang Herfort, Harald Hofstätter, Othmar Koch
Setup of Order Conditions for Splitting Methods. CASC 2016: 30-42 - [c4]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: 43-57 - 2015
- [j29]Winfried Auzinger, Harald Hofstätter, Othmar Koch
Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part III: The nonlinear case. J. Comput. Appl. Math. 273: 182-204 (2015) - [j28]Winfried Auzinger, Othmar Koch
Defect-based local error estimators for high-order splitting methods involving three linear operators. Numer. Algorithms 70(1): 61-91 (2015) - 2014
- [j27]Pierluigi Amodio
Asymptotical computations for a model of flow in saturated porous media. Appl. Math. Comput. 237: 155-167 (2014) - [j26]Winfried Auzinger, Othmar Koch
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: 384-403 (2014) - [j25]Inmaculada Higueras
Optimized strong stability preserving IMEX Runge-Kutta methods. J. Comput. Appl. Math. 272: 116-140 (2014) - [j24]Harald Hofstätter, Othmar Koch
An approximate eigensolver for self-consistent field calculations. Numer. Algorithms 66(3): 609-641 (2014) - [j23]Harald Hofstätter, Othmar Koch
Convergence analysis of high-order time-splitting pseudo-spectral methods for rotational Gross-Pitaevskii equations. Numerische Mathematik 127(2): 315-364 (2014) - 2013
- [j22]Alexander Dick, Othmar Koch
Convergence of collocation schemes for boundary value problems in nonlinear index 1 DAEs with a singular point. Math. Comput. 82(282): 893-918 (2013) - 2012
- [j21]Winfried Auzinger, Othmar Koch
Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part I: The linear case. J. Comput. Appl. Math. 236(10): 2643-2659 (2012) - [j20]Friedrich Kupka, Natalie Happenhofer, Inmaculada Higueras
Total-variation-diminishing implicit-explicit Runge-Kutta methods for the simulation of double-diffusive convection in astrophysics. J. Comput. Phys. 231(9): 3561-3586 (2012) - 2010
- [j19]Robert Hammerling, Othmar Koch
Numerical solution of singular ODE eigenvalue problems in electronic structure computations. Comput. Phys. Commun. 181(9): 1557-1561 (2010) - [j18]Peter Blaha
Iterative diagonalization in augmented plane wave based methods in electronic structure calculations. J. Comput. Phys. 229(2): 453-460 (2010) - [j17]Othmar Koch
Hierarchical Matrices in Computations of Electron Dynamics. J. Sci. Comput. 42(3): 447-455 (2010) - [j16]Othmar Koch
Collocation methods for index 1 DAEs with a singularity of the first kind. Math. Comput. 79(269): 281-304 (2010) - [j15]Othmar Koch
Dynamical Tensor Approximation. SIAM J. Matrix Anal. Appl. 31(5): 2360-2375 (2010)
2000 – 2009
- 2007
- [j14]G. Kitzhofer, Othmar Koch
Efficient Numerical Solution of the Density Profile Equation in Hydrodynamics. J. Sci. Comput. 32(3): 411-424 (2007) - [j13]G. Kitzhofer, Othmar Koch, Pedro Miguel Lima, Ewa Weinmüller:
Efficient Numerical Solution of the Density Profile Equation in Hydrodynamics. J. Sci. Comput. 32(3): 425 (2007) - [j12]Othmar Koch
Dynamical Low-Rank Approximation. SIAM J. Matrix Anal. Appl. 29(2): 434-454 (2007) - 2006
- [j11]Othmar Koch
Approximation of the time-dependent electronic Schrödinger equation by MCTDHF. Appl. Math. Comput. 173(2): 960-976 (2006) - [j10]C. J. Budd, Othmar Koch
Computation of Self-similar Solution Profiles for the Nonlinear Schrödinger Equation. Computing 77(4): 335-346 (2006) - [j9]Harald Hofstätter, Othmar Koch
Analysis of a defect correction method for geometric integrators. Numer. Algorithms 41(2): 103-126 (2006) - 2005
- [j8]Winfried Auzinger, Othmar Koch
New a posteriori error estimates for singular boundary value problems. Numer. Algorithms 40(1): 79-100 (2005) - [j7]Othmar Koch
Asymptotically correct error estimation for collocation methods applied to singular boundary value problems. Numerische Mathematik 101(1): 143-164 (2005) - [j6]Winfried Auzinger, Othmar Koch
Analysis of a New Error Estimate for Collocation Methods Applied to Singular Boundary Value Problems. SIAM J. Numer. Anal. 42(6): 2366-2386 (2005) - 2004
- [j5]Othmar Koch
Analytical and numerical treatment of a singular initial value problem in avalanche modeling. Appl. Math. Comput. 148(2): 561-570 (2004) - 2003
- [j4]Othmar Koch
The convergence of shooting methods for singular boundary value problems. Math. Comput. 72(241): 289-305 (2003) - [j3]Winfried Auzinger, Günter Kneisl, Othmar Koch
A Collocation Code for Singular Boundary Value Problems in Ordinary Differential Equations. Numer. Algorithms 33(1-4): 27-39 (2003) - [c3]Winfried Auzinger, Othmar Koch
Collocation Methods for Boundary Value Problems with an Essential Singularity. LSSC 2003: 347-354 - [c2]Othmar Koch, K. Heinz Weigl:
Traffic and road planning simulation: modeling ambulance service of the austrian Red Cross. WSC 2003: 1701-1706 - 2002
- [j2]Winfried Auzinger, Othmar Koch
Efficient Collocation Schemes for Singular Boundary Value Problems. Numer. Algorithms 31(1-4): 5-25 (2002) - 2001
- [j1]Othmar Koch
Iterated Defect Correction for the Solution of Singular Initial Value Problems. SIAM J. Numer. Anal. 38(6): 1784-1799 (2001) - [c1]Winfried Auzinger, Othmar Koch, Ewa Weinmüller:
Theory and Solution Techniques for Singular Boundary Value Problems in Ordinary Differential Equations. PPAM 2001: 851-861
Coauthor Index
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