Accurate arithmetic results for decimal data on non-decimal computers. - Winfried Auzinger; Hans J. Stetter (Computing, 1985)

On the error structure of the implicit Euler scheme applied to stiff systems of differential equations. - Winfried Auzinger (Computing, 1989)

On error structures and extrapolation for stiff systems, with application in the method of lines. - Winfried Auzinger (Computing, 1990)

A note on convergence concepts for stiff problems. - Winfried Auzinger; Reinhard Frank; Gabriela Kirlinger (Computing, 1990)

Asymptotic error expansions for stiff equations: Applications. - Winfried Auzinger; Reinhard Frank; Gabriela Kirlinger (Computing, 1990)

Theory and Solution Techniques for Singular Boundary Value Problems in Ordinary Differential Equations. - Winfried Auzinger; Othmar Koch; Ewa Weinmüller (PPAM, 2001)

Efficient Collocation Schemes for Singular Boundary Value Problems. - Winfried Auzinger; Othmar Koch; Ewa Weinmüller (Numer. Algorithms, 2002)

Collocation Methods for Boundary Value Problems with an Essential Singularity. - Winfried Auzinger; Othmar Koch; Ewa Weinmüller (LSSC, 2003)

A Collocation Code for Singular Boundary Value Problems in Ordinary Differential Equations. - Winfried Auzinger; Günter Kneisl; Othmar Koch; Ewa Weinmüller (Numer. Algorithms, 2003)

Modified Defect Correction Algorithms for ODEs. Part I: General Theory. - Winfried Auzinger; Harald Hofstätter; Wolfgang Kreuzer; Ewa Weinmüller (Numer. Algorithms, 2004)

Modified defect correction algorithms for ODEs. Part II: Stiff initial value problems. - Winfried Auzinger; Harald Hofstätter; Wolfgang Kreuzer; Ewa Weinmüller (Numer. Algorithms, 2005)

New a posteriori error estimates for singular boundary value problems. - Winfried Auzinger; Othmar Koch; Dirk Praetorius; Ewa Weinmüller (Numer. Algorithms, 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)

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)

Fast stray field computation on tensor grids. - Lukas Exl; Winfried Auzinger; Simon Bance; Markus Gusenbauer; Franz Reichel; Thomas Schrefl (J. Comput. Phys., 2012)

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)

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)

Defect-based local error estimators for high-order splitting methods involving three linear operators. - Winfried Auzinger; Othmar Koch; Mechthild Thalhammer (Numer. Algorithms, 2015)

Setup of Order Conditions for Splitting Methods. - Winfried Auzinger; Wolfgang Herfort; Harald Hofstätter; Othmar Koch (CASC, 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 (CASC, 2016)

Adaptive splitting methods for nonlinear Schrödinger equations in the semiclassical regime. - Winfried Auzinger; Thomas Kassebacher; Othmar Koch; Mechthild Thalhammer (Numer. Algorithms, 2016)

Adaptive high-order splitting methods for systems of nonlinear evolution equations with periodic boundary conditions. - Winfried Auzinger; Othmar Koch; Michael Quell (Numer. Algorithms, 2017)

Information Technology of Traffic Modeling Using the Ateb-Functions Theory for Improving Service Delivery in eHealth Systems and Networks. - Winfried Auzinger; Ivanna Dronyuk; Olga Fedevych; Yurii Klishch; Piotr Lipinski (IDDM, 2018)

An improved local error estimator for symmetric time-stepping schemes. - Winfried Auzinger; Othmar Koch (Appl. Math. Lett., 2018)

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 (CASC, 2019)

Investigation of Mathematical Model of Acoustic Wave Propagation through Relax Environment in Ultrasound Diagnostics Problems. - Zinovii Nytrebych; Volodymyr Il'kiv; Oksana Malanchuk; Winfried Auzinger (IDDM, 2019)

On the Mathematical Model of Nonlinear Vibrations of a Biologically Active Rod with Consideration of the Rheological Factor. - Petro Pukach; Volodymyr Il'kiv; Myroslava Vovk; Olha Slyusarchuk; Yulia Pukach; Yuriy Mylyan; Winfried Auzinger (IDDM, 2019)

Adaptive Exponential Integrators for MCTDHF. - Winfried Auzinger; Alexander Grosz; Harald Hofstätter; Othmar Koch (LSSC, 2019)

A Modified Gomory-Hu Algorithm with DWDM-Oriented Technology. - Winfried Auzinger; Kvitoslava Obelovska; Roksolyana Stolyarchuk (LSSC, 2019)

Time adaptive Zassenhaus splittings for the Schrödinger equation in the semiclassical regime. - Winfried Auzinger; Harald Hofstätter; Othmar Koch; Karolina Kropielnicka; Pranav Singh 001 (Appl. Math. Comput., 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)

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)

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)

A Revised Gomory-Hu Algorithm Taking Account of Physical Unavailability of Network Channels. - Winfried Auzinger; Kvitoslava Obelovska; Roksolyana Stolyarchuk (CN, 2020)

A Study of Anomalies in GPS Time Series via Polynomial Filtering. - Winfried Auzinger; Alexey A. Kytmanov; Sergey P. Tsarev (CSIT (1), 2020)

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 001; Clemens Watzenböck (CoRR, 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)

Adaptive exponential multi-operator splitting for MHD. - Othmar Koch; Koray Acar; Winfried Auzinger; Friedrich Kupka; Benedikt Moser (CoRR, 2023)