Winfried Auzinger

1.1k total citations
69 papers, 577 citations indexed

About

Winfried Auzinger is a scholar working on Numerical Analysis, Computational Mechanics and Electrical and Electronic Engineering. According to data from OpenAlex, Winfried Auzinger has authored 69 papers receiving a total of 577 indexed citations (citations by other indexed papers that have themselves been cited), including 53 papers in Numerical Analysis, 43 papers in Computational Mechanics and 20 papers in Electrical and Electronic Engineering. Recurrent topics in Winfried Auzinger's work include Numerical methods for differential equations (52 papers), Advanced Numerical Methods in Computational Mathematics (42 papers) and Electromagnetic Simulation and Numerical Methods (20 papers). Winfried Auzinger is often cited by papers focused on Numerical methods for differential equations (52 papers), Advanced Numerical Methods in Computational Mathematics (42 papers) and Electromagnetic Simulation and Numerical Methods (20 papers). Winfried Auzinger collaborates with scholars based in Austria, Germany and Poland. Winfried Auzinger's co-authors include Othmar Koch, Ewa Weinmüller, Reinhard Frank, Mechthild Thalhammer, Wolfgang Herfort, W. Kreuzer, David I. Ketcheson, T. Schrefl, Markus Gusenbauer and S. Bance and has published in prestigious journals such as SHILAP Revista de lepidopterología, Journal of Computational Physics and Mathematics of Computation.

In The Last Decade

Winfried Auzinger

63 papers receiving 518 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Winfried Auzinger Austria 14 410 230 140 117 102 69 577
Songhe Song China 16 543 1.3× 342 1.5× 104 0.7× 168 1.4× 208 2.0× 95 814
Wilhelm Heinrichs Germany 15 229 0.6× 369 1.6× 122 0.9× 77 0.7× 54 0.5× 50 560
Volker Grimm Germany 12 429 1.0× 199 0.9× 158 1.1× 151 1.3× 119 1.2× 20 518
Igor Moret Italy 15 442 1.1× 103 0.4× 331 2.4× 88 0.8× 80 0.8× 37 594
Chuanmiao Chen China 12 227 0.6× 255 1.1× 143 1.0× 97 0.8× 26 0.3× 49 468
Nianyu Yi China 13 221 0.5× 385 1.7× 198 1.4× 94 0.8× 95 0.9× 49 593
Ewa Weinmüller Austria 19 659 1.6× 238 1.0× 256 1.8× 62 0.5× 123 1.2× 98 922
Steven Pruess United States 14 292 0.7× 258 1.1× 200 1.4× 55 0.5× 144 1.4× 36 821
Paolo Novati Italy 15 386 0.9× 167 0.7× 293 2.1× 85 0.7× 71 0.7× 48 730
P. Keast Canada 12 219 0.5× 211 0.9× 103 0.7× 49 0.4× 41 0.4× 23 420

Countries citing papers authored by Winfried Auzinger

Since Specialization
Citations

This map shows the geographic impact of Winfried Auzinger's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Winfried Auzinger with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Winfried Auzinger more than expected).

Fields of papers citing papers by Winfried Auzinger

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Winfried Auzinger. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Winfried Auzinger. The network helps show where Winfried Auzinger may publish in the future.

Co-authorship network of co-authors of Winfried Auzinger

This figure shows the co-authorship network connecting the top 25 collaborators of Winfried Auzinger. A scholar is included among the top collaborators of Winfried Auzinger based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Winfried Auzinger. Winfried Auzinger is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Auzinger, Winfried, et al.. (2021). Efficient Magnus-type integrators for solar energy conversion in Hubbard models. arXiv (Cornell University). 2. 100018–100018. 2 indexed citations
2.
Auzinger, Winfried, et al.. (2021). Efficient adaptive exponential time integrators for nonlinear Schrödinger equations with nonlocal potential. mediaTUM (Technical University of Munich). 1. 100014–100014. 1 indexed citations
3.
Auzinger, Winfried, et al.. (2020). Adaptive Time Propagation for Time-dependent Schrödinger equations. International Journal of Applied and Computational Mathematics. 7(1). 6–6. 2 indexed citations
4.
Linhart, Lukas, et al.. (2020). Graphene quantum dot states near defects. Physical review. B.. 102(15). 4 indexed citations
5.
Auzinger, Winfried, et al.. (2019). Symmetrized local error estimators for time-reversible one-step methods in nonlinear evolution equations. Journal of Computational and Applied Mathematics. 356. 339–357. 5 indexed citations
6.
Malanchuk, Oksana, et al.. (2019). Investigation of Mathematical Model of Acoustic Wave Propagation through Relax Environment in Ultrasound Diagnostics Problems.. 280–289. 1 indexed citations
7.
Пукач, Петро, et al.. (2019). On the Mathematical Model of Nonlinear Vibrations of a Biologically Active Rod with Consideration of the Rheological Factor.. 30–42. 1 indexed citations
8.
Auzinger, Winfried, et al.. (2019). Computable upper error bounds for Krylov approximations to matrix exponentials and associated $${\varvec{\varphi }}$$-functions. BIT Numerical Mathematics. 60(1). 157–197. 9 indexed citations
9.
10.
Auzinger, Winfried & Othmar Koch. (2018). An improved local error estimator for symmetric time-stepping schemes. Applied Mathematics Letters. 82. 106–110. 3 indexed citations
11.
Auzinger, Winfried, et al.. (2018). Information Technology of Traffic Modeling Using the Ateb-Functions Theory for Improving Service Delivery in eHealth Systems and Networks.. 267–274. 1 indexed citations
12.
Koch, Othmar, et al.. (2016). Convergence of a Strang splitting finite element discretization for the Schrödinger-Poisson equation. Phaidra (Universität Wien). 8 indexed citations
13.
Auzinger, Winfried, et al.. (2016). Practical splitting methods for the adaptive integration of nonlinear evolution equations. Part I: Construction of optimized schemes and pairs of schemes. BIT Numerical Mathematics. 57(1). 55–74. 24 indexed citations
14.
Auzinger, Winfried, Othmar Koch, & Mechthild Thalhammer. (2013). Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part II. Higher-order methods for linear problems. Journal of Computational and Applied Mathematics. 255. 384–403. 15 indexed citations
15.
Auzinger, Winfried, Othmar Koch, & Mechthild Thalhammer. (2012). Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part I: The linear case. Journal of Computational and Applied Mathematics. 236(10). 2643–2659. 14 indexed citations
16.
Exl, Lukas, et al.. (2012). Fast stray field computation on tensor grids. Journal of Computational Physics. 231(7). 2840–2850. 21 indexed citations
17.
Auzinger, Winfried & Wolfgang Herfort. (2006). A uniform quantitative stiff stability estimate for BDF schemes. SHILAP Revista de lepidopterología. 3 indexed citations
18.
Auzinger, Winfried, Othmar Koch, & Ewa Weinmüller. (2004). Collocation Methods for Boundary Value Problems with an Essential Singularity. 1 indexed citations
19.
Auzinger, Winfried, et al.. (1999). The Application of Shooting to Singular Boundary Value Problems. 6 indexed citations
20.
Auzinger, Winfried. (1987). Defect corrections for multigrid solutions of the Dirichlet problem in general domains. Mathematics of Computation. 48(178). 471–471. 6 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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