Winfried Auzinger

Publication Activity (10 Years)

Years Active: 1985-2023
Publications (10 Years): 21

Top Topics

Mathematical Model

Selection Strategies

Hamilton Jacobi

Top Venues

J. Comput. Appl. Math.

Numer. Algorithms

Publications

Othmar Koch, Koray Acar, Winfried Auzinger, Friedrich Kupka, Benedikt Moser
Adaptive exponential multi-operator splitting for MHD. CoRR (2023)
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 (2021)
Winfried Auzinger, Lukas Einramhof, Karsten Held, Anna Kauch, Othmar Koch, Clemens Watzenböck, Ewa Weinmüller
Efficient Adaptive Computation of the Dynamics of Mott Transistors. CoRR (2021)
Winfried Auzinger, Kvitoslava Obelovska, Roksolyana Stolyarchuk
A Revised Gomory-Hu Algorithm Taking Account of Physical Unavailability of Network Channels. CN (2020)
Winfried Auzinger, Alexey A. Kytmanov, Sergey P. Tsarev
A Study of Anomalies in GPS Time Series via Polynomial Filtering. CSIT (1) (2020)
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. CASC (2019)
Winfried Auzinger, Iva Brezinová, Harald Hofstätter, Othmar Koch, Michael Quell
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 (2019)
Winfried Auzinger, Kvitoslava Obelovska, Roksolyana Stolyarchuk
A Modified Gomory-Hu Algorithm with DWDM-Oriented Technology. LSSC (2019)
Winfried Auzinger, Harald Hofstätter, Othmar Koch
Non-existence of generalized splitting methods with positive coefficients of order higher than four. Appl. Math. Lett. 97 (2019)
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 (2019)
Petro Pukach, Volodymyr Il'kiv, Myroslava Vovk, Olha Slyusarchuk, Yulia Pukach, Yuriy Mylyan, Winfried Auzinger
On the Mathematical Model of Nonlinear Vibrations of a Biologically Active Rod with Consideration of the Rheological Factor. IDDM (2019)
Winfried Auzinger, Harald Hofstätter, Othmar Koch
Symmetrized local error estimators for time-reversible one-step methods in nonlinear evolution equations. J. Comput. Appl. Math. 356 (2019)
Winfried Auzinger, Alexander Grosz, Harald Hofstätter, Othmar Koch
Adaptive Exponential Integrators for MCTDHF. LSSC (2019)
Zinovii Nytrebych, Volodymyr Il'kiv, Oksana Malanchuk, Winfried Auzinger
Investigation of Mathematical Model of Acoustic Wave Propagation through Relax Environment in Ultrasound Diagnostics Problems. IDDM (2019)
Winfried Auzinger, Harald Hofstätter, Othmar Koch, Karolina Kropielnicka, Pranav Singh
Time adaptive Zassenhaus splittings for the Schrödinger equation in the semiclassical regime. Appl. Math. Comput. 362 (2019)
Winfried Auzinger, Ivanna Dronyuk, Olga Fedevych, Yurii Klishch, Piotr Lipinski
Information Technology of Traffic Modeling Using the Ateb-Functions Theory for Improving Service Delivery in eHealth Systems and Networks. IDDM (2018)
Winfried Auzinger, Othmar Koch
An improved local error estimator for symmetric time-stepping schemes. Appl. Math. Lett. 82 (2018)
Winfried Auzinger, Othmar Koch, Michael Quell
Adaptive high-order splitting methods for systems of nonlinear evolution equations with periodic boundary conditions. Numer. Algorithms 75 (1) (2017)
Winfried Auzinger, Thomas Kassebacher, Othmar Koch, Mechthild Thalhammer
Adaptive splitting methods for nonlinear Schrödinger equations in the semiclassical regime. Numer. Algorithms 72 (1) (2016)
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)
Winfried Auzinger, Wolfgang Herfort, Harald Hofstätter, Othmar Koch
Setup of Order Conditions for Splitting Methods. CASC (2016)
Winfried Auzinger, Harald Hofstätter, Othmar Koch, Mechthild Thalhammer
Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part III: The nonlinear case. J. Comput. Appl. Math. 273 (2015)
Winfried Auzinger, Othmar Koch, Mechthild Thalhammer
Defect-based local error estimators for high-order splitting methods involving three linear operators. Numer. Algorithms 70 (1) (2015)
Winfried Auzinger, Othmar Koch, Mechthild Thalhammer
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 (2014)
Winfried Auzinger, Othmar Koch, Mechthild Thalhammer
Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part I: The linear case. J. Comput. Appl. Math. 236 (10) (2012)
Lukas Exl, Winfried Auzinger, Simon Bance, Markus Gusenbauer, Franz Reichel, Thomas Schrefl
Fast stray field computation on tensor grids. J. Comput. Phys. 231 (7) (2012)
Winfried Auzinger, Othmar Koch, Dirk Praetorius, Ewa Weinmüller
New a posteriori error estimates for singular boundary value problems. Numer. Algorithms 40 (1) (2005)
Winfried Auzinger, Harald Hofstätter, Wolfgang Kreuzer, Ewa Weinmüller
Modified defect correction algorithms for ODEs. Part II: Stiff initial value problems. Numer. Algorithms 40 (3) (2005)
Winfried Auzinger, Othmar Koch, Ewa Weinmüller
Analysis of a New Error Estimate for Collocation Methods Applied to Singular Boundary Value Problems. SIAM J. Numer. Anal. 42 (6) (2005)
Winfried Auzinger, Harald Hofstätter, Wolfgang Kreuzer, Ewa Weinmüller
Modified Defect Correction Algorithms for ODEs. Part I: General Theory. Numer. Algorithms 36 (2) (2004)
Winfried Auzinger, Othmar Koch, Ewa Weinmüller
Collocation Methods for Boundary Value Problems with an Essential Singularity. LSSC (2003)
Winfried Auzinger, Günter Kneisl, Othmar Koch, Ewa Weinmüller
A Collocation Code for Singular Boundary Value Problems in Ordinary Differential Equations. Numer. Algorithms 33 (1-4) (2003)
Winfried Auzinger, Othmar Koch, Ewa Weinmüller
Efficient Collocation Schemes for Singular Boundary Value Problems. Numer. Algorithms 31 (1-4) (2002)
Winfried Auzinger, Othmar Koch, Ewa Weinmüller
Theory and Solution Techniques for Singular Boundary Value Problems in Ordinary Differential Equations. PPAM (2001)
Winfried Auzinger, Reinhard Frank, Gabriela Kirlinger
A note on convergence concepts for stiff problems. Computing 44 (3) (1990)
Winfried Auzinger
On error structures and extrapolation for stiff systems, with application in the method of lines. Computing 44 (4) (1990)
Winfried Auzinger, Reinhard Frank, Gabriela Kirlinger
Asymptotic error expansions for stiff equations: Applications. Computing 43 (3) (1990)
Winfried Auzinger
On the error structure of the implicit Euler scheme applied to stiff systems of differential equations. Computing 43 (2) (1989)
Winfried Auzinger, Hans J. Stetter
Accurate arithmetic results for decimal data on non-decimal computers. Computing 35 (2) (1985)