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ORCIDWinfried Auzinger
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- affiliation: TU Wien, Institute for Analysis and Scientific Computing, Vienna, Austria
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Journal Articles
- 2019
[j23]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)- [j22]Winfried Auzinger, Harald Hofstätter, Othmar Koch:
Non-existence of generalized splitting methods with positive coefficients of order higher than four. Appl. Math. Lett. 97: 48-52 (2019) - [j21]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: 55-71 (2019) - [j20]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: 339-357 (2019) - 2018
- [j19]Winfried Auzinger, Othmar Koch:
An improved local error estimator for symmetric time-stepping schemes. Appl. Math. Lett. 82: 106-110 (2018) - 2017
- [j18]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): 261-283 (2017) - 2016
- [j17]Winfried Auzinger, Thomas Kassebacher, Othmar Koch, Mechthild Thalhammer:
Adaptive splitting methods for nonlinear Schrödinger equations in the semiclassical regime. Numer. Algorithms 72(1): 1-35 (2016) - 2015
- [j16]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: 182-204 (2015) - [j15]Winfried Auzinger, Othmar Koch, Mechthild Thalhammer:
Defect-based local error estimators for high-order splitting methods involving three linear operators. Numer. Algorithms 70(1): 61-91 (2015) - 2014
- [j14]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: 384-403 (2014) - 2012
- [j13]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): 2643-2659 (2012) - [j12]Lukas Exl, Winfried Auzinger, Simon Bance, Markus Gusenbauer, Franz Reichel, Thomas Schrefl:
Fast stray field computation on tensor grids. J. Comput. Phys. 231(7): 2840-2850 (2012) - 2005
- [j11]Winfried Auzinger, Othmar Koch, Dirk Praetorius, Ewa Weinmüller:
New a posteriori error estimates for singular boundary value problems. Numer. Algorithms 40(1): 79-100 (2005) - [j10]Winfried Auzinger, Harald Hofstätter, Wolfgang Kreuzer, Ewa Weinmüller:
Modified defect correction algorithms for ODEs. Part II: Stiff initial value problems. Numer. Algorithms 40(3): 285-303 (2005) - [j9]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): 2366-2386 (2005) - 2004
- [j8]Winfried Auzinger, Harald Hofstätter, Wolfgang Kreuzer, Ewa Weinmüller:
Modified Defect Correction Algorithms for ODEs. Part I: General Theory. Numer. Algorithms 36(2): 135-155 (2004) - 2003
- [j7]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): 27-39 (2003) - 2002
- [j6]Winfried Auzinger, Othmar Koch, Ewa Weinmüller:
Efficient Collocation Schemes for Singular Boundary Value Problems. Numer. Algorithms 31(1-4): 5-25 (2002) - 1990
- [j5]Winfried Auzinger, Reinhard Frank, Gabriela Kirlinger:
Asymptotic error expansions for stiff equations: Applications. Computing 43(3): 223-253 (1990) - [j4]Winfried Auzinger, Reinhard Frank, Gabriela Kirlinger:
A note on convergence concepts for stiff problems. Computing 44(3): 197-208 (1990) - [j3]Winfried Auzinger:
On error structures and extrapolation for stiff systems, with application in the method of lines. Computing 44(4): 331-356 (1990) - 1989
- [j2]Winfried Auzinger:
On the error structure of the implicit Euler scheme applied to stiff systems of differential equations. Computing 43(2): 115-131 (1989) - 1985
- [j1]Winfried Auzinger, Hans J. Stetter:
Accurate arithmetic results for decimal data on non-decimal computers. Computing 35(2): 141-151 (1985)
Conference and Workshop Papers
- 2020
- [c12]Winfried Auzinger, Kvitoslava Obelovska, Roksolyana Stolyarchuk:
A Revised Gomory-Hu Algorithm Taking Account of Physical Unavailability of Network Channels. CN 2020: 3-13 - [c11]Winfried Auzinger, Alexey A. Kytmanov, Sergey P. Tsarev:
A Study of Anomalies in GPS Time Series via Polynomial Filtering. CSIT (1) 2020: 1-4 - 2019
- [c10]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: 197-214 - [c9]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: 30-42 - [c8]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: 280-289 - [c7]Winfried Auzinger, Kvitoslava Obelovska, Roksolyana Stolyarchuk:
A Modified Gomory-Hu Algorithm with DWDM-Oriented Technology. LSSC 2019: 547-554 - [c6]Winfried Auzinger, Alexander Grosz, Harald Hofstätter, Othmar Koch:
Adaptive Exponential Integrators for MCTDHF. LSSC 2019: 557-565 - 2018
- [c5]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: 267-274 - 2016
- [c4]Winfried Auzinger, Wolfgang Herfort, Harald Hofstätter, Othmar Koch:
Setup of Order Conditions for Splitting Methods. CASC 2016: 30-42 - [c3]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 - 2003
- [c2]Winfried Auzinger, Othmar Koch, Ewa Weinmüller:
Collocation Methods for Boundary Value Problems with an Essential Singularity. LSSC 2003: 347-354 - 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
Informal and Other Publications
- 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) - 2019
- [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)
Coauthor Index
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