Winfried Auzinger - researchr alias

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Viewing Publication 1 - 34 from 34

2020

A Revised Gomory-Hu Algorithm Taking Account of Physical Unavailability of Network ChannelsWinfried Auzinger, Kvitoslava Obelovska, Roksolyana Stolyarchuk. cn 2020: 3-13 [doi]

A Study of Anomalies in GPS Time Series via Polynomial FilteringWinfried Auzinger, Alexey A. Kytmanov, Sergey P. Tsarev. csit 2020: 1-4 [doi]

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 equationsWinfried Auzinger, Iva Brezinová, Harald Hofstätter, Othmar Koch, Michael Quell. cphysics, 234:55-71, 2019. [doi]

Symmetrized local error estimators for time-reversible one-step methods in nonlinear evolution equationsWinfried Auzinger, Harald Hofstätter, Othmar Koch. jcam, 356:339-357, 2019. [doi]

Non-existence of generalized splitting methods with positive coefficients of order higher than fourWinfried Auzinger, Harald Hofstätter, Othmar Koch. appml, 97:48-52, 2019. [doi]

A Modified Gomory-Hu Algorithm with DWDM-Oriented TechnologyWinfried Auzinger, Kvitoslava Obelovska, Roksolyana Stolyarchuk. lssc 2020: 547-554 [doi]

Adaptive Exponential Integrators for MCTDHFWinfried Auzinger, Alexander Grosz, Harald Hofstätter, Othmar Koch. lssc 2020: 557-565 [doi]

Time adaptive Zassenhaus splittings for the Schrödinger equation in the semiclassical regimeWinfried Auzinger, Harald Hofstätter, Othmar Koch, Karolina Kropielnicka, Pranav Singh. amc, 362, 2019. [doi]

An Algorithm for Computing Coefficients of Words in Expressions Involving Exponentials and Its Application to the Construction of Exponential IntegratorsHarald Hofstätter, Winfried Auzinger, Othmar Koch. casc 2019: 197-214 [doi]

Investigation of Mathematical Model of Acoustic Wave Propagation through Relax Environment in Ultrasound Diagnostics ProblemsZinovii Nytrebych, Volodymyr Il'kiv, Oksana Malanchuk, Winfried Auzinger. iddm 2019: 280-289 [doi]

On the Mathematical Model of Nonlinear Vibrations of a Biologically Active Rod with Consideration of the Rheological FactorPetro Pukach, Volodymyr Il'kiv, Myroslava Vovk, Olha Slyusarchuk, Yulia Pukach, Yuriy Mylyan, Winfried Auzinger. iddm 2019: 30-42 [doi]

2018

An improved local error estimator for symmetric time-stepping schemesWinfried Auzinger, Othmar Koch. appml, 82:106-110, 2018. [doi]

2017

Adaptive high-order splitting methods for systems of nonlinear evolution equations with periodic boundary conditionsWinfried Auzinger, Othmar Koch, Michael Quell. na, 75(1):261-283, 2017. [doi]

2016

2015

Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part III: The nonlinear caseWinfried Auzinger, Harald Hofstätter, Othmar Koch, Mechthild Thalhammer. jcam, 273:182-204, 2015. [doi]

Defect-based local error estimators for high-order splitting methods involving three linear operatorsWinfried Auzinger, Othmar Koch, Mechthild Thalhammer. na, 70(1):61-91, 2015. [doi]

2014

Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part II. Higher-order methods for linear problemsWinfried Auzinger, Othmar Koch, Mechthild Thalhammer. jcam, 255:384-403, 2014. [doi]

2012

Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part I: The linear caseWinfried Auzinger, Othmar Koch, Mechthild Thalhammer. jcam, 236(10):2643-2659, 2012. [doi]

Fast stray field computation on tensor gridsLukas Exl, Winfried Auzinger, Simon Bance, Markus Gusenbauer, Franz Reichel, Thomas Schrefl. jcphy, 231(7):2840-2850, 2012. [doi]

2005

2004

Modified Defect Correction Algorithms for ODEs. Part I: General TheoryWinfried Auzinger, Harald Hofstätter, W. Kreuzer, Ewa Weinmüller. na, 36(2):135-155, 2004. [doi]

2003

Collocation Methods for Boundary Value Problems with an Essential SingularityWinfried Auzinger, Othmar Koch, Ewa Weinmüller. lssc 2004: 347-354 [doi]

A Collocation Code for Singular Boundary Value Problems in Ordinary Differential EquationsWinfried Auzinger, Günter Kneisl, Othmar Koch, Ewa Weinmüller. na, 33(1-4):27-39, 2003. [doi]

2002

Efficient Collocation Schemes for Singular Boundary Value ProblemsWinfried Auzinger, Othmar Koch, Ewa Weinmüller. na, 31(1-4):5-25, 2002. [doi]

2001

Theory and Solution Techniques for Singular Boundary Value Problems in Ordinary Differential EquationsWinfried Auzinger, Othmar Koch, Ewa Weinmüller. ppam 2002: 851-861 [doi]

1990

On error structures and extrapolation for stiff systems, with application in the method of linesWinfried Auzinger. computing, 44(4):331-356, 1990. [doi]

A note on convergence concepts for stiff problemsWinfried Auzinger, Reinhard Frank, Gabriela Kirlinger. computing, 44(3):197-208, 1990. [doi]

Asymptotic error expansions for stiff equations: ApplicationsWinfried Auzinger, Reinhard Frank, Gabriela Kirlinger. computing, 43(3):223-253, 1990. [doi]

1989

On the error structure of the implicit Euler scheme applied to stiff systems of differential equationsWinfried Auzinger. computing, 43(2):115-131, 1989. [doi]

1985

Accurate arithmetic results for decimal data on non-decimal computersWinfried Auzinger, Hans J. Stetter. computing, 35(2):141-151, 1985. [doi]

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