Othmar Koch

发表

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

Othmar Koch, O. Koch, 2005, Numerische Mathematik.

Numerical solution of singular ODE eigenvalue problems in electronic structure computations

Othmar Koch, Robert Hammerling, Christa Simon, 2010, Comput. Phys. Commun..

Asymptotical computations for a model of flow in saturated porous media

Othmar Koch, Ewa Weinmüller, Pierluigi Amodio, 2014, Appl. Math. Comput..

Convergence analysis of high-order time-splitting pseudo-spectral methods for rotational Gross–Pitaevskii equations

Mechthild Thalhammer, Othmar Koch, Harald Hofstätter, 2014, Numerische Mathematik.

Total-variation-diminishing implicit-explicit Runge-Kutta methods for the simulation of double-diffusive convection in astrophysics

Inmaculada Higueras, Othmar Koch, Friedrich Kupka, 2011, J. Comput. Phys..

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

Othmar Koch, Harald Hofstätter, O. Koch, 2017, Numerische Mathematik.

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, Othmar Koch, Michael Quell, 2019, Comput. Phys. Commun..

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

Mechthild Thalhammer, Winfried Auzinger, Othmar Koch, 2015, Numerical Algorithms.

Approximation of the time-dependent electronic Schrödinger equation by MCTDHF

Othmar Koch, Wolfgang Kreuzer, Armin Scrinzi, 2006, Appl. Math. Comput..

Practical splitting methods for the adaptive integration of nonlinear evolution equations. Part I: Construction of optimized schemes and pairs of schemes

Winfried Auzinger, Othmar Koch, Harald Hofstätter, 2016, BIT Numerical Mathematics.

Optimized strong stability preserving IMEX Runge-Kutta methods

Inmaculada Higueras, Othmar Koch, Friedrich Kupka, 2014, J. Comput. Appl. Math..

Symmetrized local error estimators for time-reversible one-step methods in nonlinear evolution equations

Winfried Auzinger, Othmar Koch, Harald Hofstätter, 2018, J. Comput. Appl. Math..

Convergence of collocation schemes for boundary value problems in nonlinear index 1 DAEs with a singular point

Othmar Koch, Ewa Weinmüller, Alexander Dick, 2012, Math. Comput..

New a posteriori error estimates for singular boundary value problems

Winfried Auzinger, Othmar Koch, Ewa Weinmüller, 2005, Numerical Algorithms.

Efficient Numerical Solution of the Density Profile Equation in Hydrodynamics

Othmar Koch, Ewa Weinmüller, Pedro Miguel Lima, 2007, J. Sci. Comput..

The convergence of shooting methods for singular boundary value problems

Othmar Koch, Ewa Weinmüller, E. Weinmüller, 2003, Math. Comput..

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

Winfried Auzinger, Othmar Koch, Michael Quell, 2016, Numerical Algorithms.

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

Winfried Auzinger, Othmar Koch, Ewa Weinmüller, 2001, PPAM.

Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part I: The linear case

Mechthild Thalhammer, Winfried Auzinger, Othmar Koch, 2012, J. Comput. Appl. Math..

An Algorithm for Computing Coefficients of Words in Expressions Involving Exponentials and Its Application to the Construction of Exponential Integrators

Winfried Auzinger, Othmar Koch, Harald Hofstätter, 2019, CASC.

Dynamical Low-Rank Approximation

Othmar Koch, Christian Lubich, C. Lubich, 2007, SIAM J. Matrix Anal. Appl..

Iterative diagonalization in augmented plane wave based methods in electronic structure calculations

Othmar Koch, Harald Hofstätter, K. Schwarz, 2010, J. Comput. Phys..

Setup of Order Conditions for Splitting Methods

Winfried Auzinger, Othmar Koch, Harald Hofstätter, 2016, CASC.

Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part III: The nonlinear case

Mechthild Thalhammer, Winfried Auzinger, Othmar Koch, 2015, J. Comput. Appl. Math..

Iterated Defect Correction for the Solution of Singular Initial Value Problems

Othmar Koch, Ewa Weinmüller, E. Weinmüller, 2000, SIAM J. Numer. Anal..

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

Othmar Koch, Ewa Weinmüller, Chris J. Budd, 2005, Computing.

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

Winfried Auzinger, Othmar Koch, Ewa Weinmüller, 2004, Numerical Algorithms.

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

Othmar Koch, K. Heinz Weigl, 2003, WSC '03.

An improved local error estimator for symmetric time-stepping schemes

Winfried Auzinger, Othmar Koch, 2018, Appl. Math. Lett..

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

Winfried Auzinger, Othmar Koch, Harald Hofstätter, 2019, Appl. Math. Comput..

Collocation methods for index 1 DAEs with a singularity of the first kind

Othmar Koch, Ewa Weinmüller, Dirk Praetorius, 2010, Math. Comput..

Analysis of a defect correction method for geometric integrators

Othmar Koch, Harald Hofstätter, O. Koch, 2006, Numerical Algorithms.

Efficient Numerical Solution of the Density Profile Equation in Hydrodynamics

Othmar Koch, Ewa Weinmüller, Pedro Miguel Lima, 2007, J. Sci. Comput..

Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part II. Higher-order methods for linear problems

Mechthild Thalhammer, Winfried Auzinger, Othmar Koch, 2014, J. Comput. Appl. Math..

Efficient Collocation Schemes for Singular Boundary Value Problems

Winfried Auzinger, Othmar Koch, Ewa Weinmüller, 2004, Numerical Algorithms.

An approximate eigensolver for self-consistent field calculations

Othmar Koch, Harald Hofstätter, O. Koch, 2014, Numerical Algorithms.

Dynamical Tensor Approximation

Othmar Koch, Christian Lubich, C. Lubich, 2010, SIAM J. Matrix Anal. Appl..

Hierarchical Matrices in Computations of Electron Dynamics

Christopher Ede, Othmar Koch, Gerald Jordan, 2010, J. Sci. Comput..

Symbolic Manipulation of Flows of Nonlinear Evolution Equations, with Application in the Analysis of Split-Step Time Integrators

Winfried Auzinger, Othmar Koch, Harald Hofstätter, 2016, CASC.

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

Winfried Auzinger, Othmar Koch, Harald Hofstätter, 2019, Appl. Math. Lett..

Improved Time Integration for WENO Methods in Astrophysical Applications

Inmaculada Higueras, Othmar Koch, Friedrich Kupka, 2014 .

Collocation Methods for Boundary Value Problems with an Essential Singularity

Winfried Auzinger, Othmar Koch, Ewa Weinmüller, 2003, LSSC.

Adaptive splitting methods for nonlinear Schrödinger equations in the semiclassical regime

Mechthild Thalhammer, Winfried Auzinger, Othmar Koch, 2016, Numerical Algorithms.

Adaptive Exponential Integrators for MCTDHF

Winfried Auzinger, Othmar Koch, Harald Hofstätter, 2019, LSSC.

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

Othmar Koch, Ewa Weinmüller, 2004, Appl. Math. Comput..

Analysis of a New Error Estimate for Collocation Methods Applied to Singular Boundary Value Problems

Winfried Auzinger, Othmar Koch, Ewa Weinmüller, 2005, SIAM J. Numer. Anal..

Efficient Magnus-type integrators for solar energy conversion in Hubbard models pdf

Winfried Auzinger, Othmar Koch, Harald Hofstätter, 2021, Journal of Computational Mathematics and Data Science.

Efficient Adaptive Computation of the Dynamics of Mott Transistors pdf

Winfried Auzinger, Othmar Koch, Ewa Weinmüller, 2021, ArXiv.

Convergence of a Strang splitting finite element discretization for the Schr\"odinger-Poisson equation

Mechthild Thalhammer, Winfried Auzinger, Othmar Koch, 2016, 1605.00437.

Convergence analysis of high-order time-splitting generalized-Laguerre – Fourier – Hermite pseudospectral methods for rotational Gross – Pitaevskii equations

Mechthild Thalhammer, Othmar Koch, Harald Hofstätter, 2016 .

COLLOCATION METHODS FOR THE SOLUTION OF EIGENVALUE PROBLEMS FOR SINGULAR ORDINARY DIFFERENTIAL EQUATIONS

Winfried Auzinger, Othmar Koch, Ewa Weinmüller, 2006 .

Computable upper error bounds for Krylov approximations to matrix exponentials and associated $\varphi$-functions

Winfried Auzinger, Othmar Koch, Tobias Jawecki, 2018 .

Embedded exponential operator splitting methods for the time integration of nonlinear evolution equations

Mechthild Thalhammer, Othmar Koch, O. Koch, 2013 .

SDIRK Methods for the ANTARES Code

Othmar Koch, Friedrich Kupka, F. Kupka, 2010 .

The Application of Shooting to Singular Boundary Value Problems

Winfried Auzinger, Othmar Koch, Ewa Weinmüller, 2002 .

Numerical Treatment of Singular BVPs: The New MATLAB Code bvpsuite

Othmar Koch, Ewa Weinmüller, G. Kitzhofer, 2009 .

Convergence of exponential Lawson-multistep methods for the MCTDHF equations

Othmar Koch, O. Koch, 2019, ESAIM: Mathematical Modelling and Numerical Analysis.

A posteriori error estimation for Magnus-type integrators

Mechthild Thalhammer, Winfried Auzinger, Othmar Koch, 2019, ESAIM: Mathematical Modelling and Numerical Analysis.

On a singular boundary value problem arising in the theory of shallow membrane caps

Othmar Koch, Ewa Weinmüller, Gernot Pulverer, 2007 .

Analysis of Singular Initial and Terminal Value Problems

Othmar Koch, Ewa Weinmüller, E. Weinmüller, 2002 .

Pathfollowing for essentially singular boundary value problems with application to the complex Ginzburg-Landau equation

Othmar Koch, Ewa Weinmüller, Georg Kitzhofer, 2009 .

Variational-splitting time integration of the multi-configuration time-dependent Hartree–Fock equations in electron dynamics

Othmar Koch, Christian Lubich, C. Lubich, 2011 .

Error analysis of high-order splitting methods for nonlinear evolutionary Schrödinger equations and application to the MCTDHF equations in electron dynamics

Mechthild Thalhammer, Othmar Koch, Christof Neuhauser, 2013 .

Ecient Mesh Selection for Collocation Methods Applied to Singular BVPs

Winfried Auzinger, Othmar Koch, Ewa Weinmüller, 2004 .

Regularity of the multi-configuration time-dependent Hartree approximation in quantum molecular dynamics

Othmar Koch, Christian Lubich, C. Lubich, 2007 .

Othmar Koch, J. Caillat, Wolfgang Kreuzer, 2005 .

The implicit Euler method for the numerical solution of singular initial value problems

Othmar Koch, Ewa Weinmüller, E. Weinmüller, 2000 .

New Variants of Defect Correction for Boundary Value Problems in Ordinary Differential Equations

Winfried Auzinger, Othmar Koch, Ewa Weinmüller, 2002 .

Long-time expansion of a Bose-Einstein condensate: Observability of Anderson localization

Othmar Koch, Harald Hofstätter, Joachim Burgdörfer, 2017 .

A Collocation Code for Boundary Value Problems in Ordinary Differential Equations

Winfried Auzinger, Othmar Koch, Ewa Weinmüller, 2002 .

Self-Similar Blow-Up in Nonlinear PDEs

Othmar Koch, Chris Budd, Ewa B. Weinm, 2004 .

Convergence Proof for Iterated Splitting Defect Correction

Othmar Koch, Harald Hofstätter, O. Koch, 2004 .