Winfried Auzinger

Orcid: 0000-0002-9631-2601

Affiliations:
  • TU Wien, Institute for Analysis and Scientific Computing, Vienna, Austria


According to our database1, Winfried Auzinger authored at least 38 papers between 1985 and 2023.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of five.

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Bibliography

2023
Adaptive exponential multi-operator splitting for MHD.
CoRR, 2023

2021
Efficient Adaptive Computation of the Dynamics of Mott Transistors.
CoRR, 2021

Efficient Magnus-type integrators for solar energy conversion in Hubbard models.
CoRR, 2021

2020
A Study of Anomalies in GPS Time Series via Polynomial Filtering.
Proceedings of the IEEE 15th International Conference on Computer Sciences and Information Technologies, 2020

A Revised Gomory-Hu Algorithm Taking Account of Physical Unavailability of Network Channels.
Proceedings of the Computer Networks - 27th International Conference, 2020

2019
Symmetrized local error estimators for time-reversible one-step methods in nonlinear evolution equations.
J. Comput. Appl. Math., 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.
Comput. Phys. Commun., 2019

Non-existence of generalized splitting methods with positive coefficients of order higher than four.
Appl. Math. Lett., 2019

Time adaptive Zassenhaus splittings for the Schrödinger equation in the semiclassical regime.
Appl. Math. Comput., 2019

A Modified Gomory-Hu Algorithm with DWDM-Oriented Technology.
Proceedings of the Large-Scale Scientific Computing - 12th International Conference, 2019

Adaptive Exponential Integrators for MCTDHF.
Proceedings of the Large-Scale Scientific Computing - 12th International Conference, 2019

On the Mathematical Model of Nonlinear Vibrations of a Biologically Active Rod with Consideration of the Rheological Factor.
Proceedings of the 2nd International Workshop on Informatics & Data-Driven Medicine (IDDM 2019), 2019

Investigation of Mathematical Model of Acoustic Wave Propagation through Relax Environment in Ultrasound Diagnostics Problems.
Proceedings of the 2nd International Workshop on Informatics & Data-Driven Medicine (IDDM 2019), 2019

An Algorithm for Computing Coefficients of Words in Expressions Involving Exponentials and Its Application to the Construction of Exponential Integrators.
Proceedings of the Computer Algebra in Scientific Computing - 21st International Workshop, 2019

2018
An improved local error estimator for symmetric time-stepping schemes.
Appl. Math. Lett., 2018

Information Technology of Traffic Modeling Using the Ateb-Functions Theory for Improving Service Delivery in eHealth Systems and Networks.
Proceedings of the 1st International Workshop on Informatics & Data-Driven Medicine (IDDM 2018), 2018

2017
Adaptive high-order splitting methods for systems of nonlinear evolution equations with periodic boundary conditions.
Numer. Algorithms, 2017

2016
Adaptive splitting methods for nonlinear Schrödinger equations in the semiclassical regime.
Numer. Algorithms, 2016

Symbolic Manipulation of Flows of Nonlinear Evolution Equations, with Application in the Analysis of Split-Step Time Integrators.
Proceedings of the Computer Algebra in Scientific Computing - 18th International Workshop, 2016

Setup of Order Conditions for Splitting Methods.
Proceedings of the Computer Algebra in Scientific Computing - 18th International Workshop, 2016

2015
Defect-based local error estimators for high-order splitting methods involving three linear operators.
Numer. Algorithms, 2015

Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part III: The nonlinear case.
J. Comput. Appl. Math., 2015

2014
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., 2014

2012
Fast stray field computation on tensor grids.
J. Comput. Phys., 2012

Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part I: The linear case.
J. Comput. Appl. Math., 2012

2005
Analysis of a New Error Estimate for Collocation Methods Applied to Singular Boundary Value Problems.
SIAM J. Numer. Anal., 2005

New a posteriori error estimates for singular boundary value problems.
Numer. Algorithms, 2005

Modified defect correction algorithms for ODEs. Part II: Stiff initial value problems.
Numer. Algorithms, 2005

2004
Modified Defect Correction Algorithms for ODEs. Part I: General Theory.
Numer. Algorithms, 2004

2003
A Collocation Code for Singular Boundary Value Problems in Ordinary Differential Equations.
Numer. Algorithms, 2003

Collocation Methods for Boundary Value Problems with an Essential Singularity.
Proceedings of the Large-Scale Scientific Computing, 4th International Conference, 2003

2002
Efficient Collocation Schemes for Singular Boundary Value Problems.
Numer. Algorithms, 2002

2001
Theory and Solution Techniques for Singular Boundary Value Problems in Ordinary Differential Equations.
Proceedings of the Parallel Processing and Applied Mathematics, 2001

1990
Asymptotic error expansions for stiff equations: Applications.
Computing, 1990

A note on convergence concepts for stiff problems.
Computing, 1990

On error structures and extrapolation for stiff systems, with application in the method of lines.
Computing, 1990

1989
On the error structure of the implicit Euler scheme applied to stiff systems of differential equations.
Computing, 1989

1985
Accurate arithmetic results for decimal data on non-decimal computers.
Computing, 1985


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