Bernd Kummer
Impact in
- Numerical Analysis top 0.5%
- Advanced Optimization Algorithms Research
- Iterative Methods for Nonlinear Equations
- Computational Theory and Mathematics top 0.5%
- Optimization and Variational Analysis
- Matrix Theory and Algorithms
Papers in
-
- Advanced Optimization Algorithms Research 37
- Iterative Methods for Nonlinear Equations 7
-
- Optimization and Variational Analysis 33
- Matrix Theory and Algorithms 6
- Co-authors
- Diethard Klatte (25 shared papers)J. Guddat (5 shared papers)B. Bank (4 shared papers)Klaus Tammer (2 shared papers)Related Topics (1 shared paper)A. Behle (3 shared papers)Alexander Y. Kruger (1 shared paper)Christian Großmann (1 shared paper)
- Journals
- Mathematical Programming (5 papers)Optimization (4 papers)SIAM Journal on Optimization (2 papers)Journal of Mathematical Analysis and Applications (2 papers)Lecture notes in control and information sciences (2 papers)
- Partner nations
- GermanySwitzerlandUnited States
In The Last Decade
Bernd Kummer
48 papers receiving 1.5k citations
Bernd Kummer's Hit Papers
Peers
Comparison fields: 5 of 70
- Numerical Analysis 1.1k
- Computational Theory and Mathematics 1.3k
- Geometry and Topology 212
- Management Science and Operations Research 261
- Control and Systems Engineering 418
Countries citing papers authored by Bernd Kummer
This map shows the geographic impact of Bernd Kummer'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 Bernd Kummer with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Bernd Kummer more than expected).
Fields of papers citing papers by Bernd Kummer
This network shows the impact of papers produced by Bernd Kummer. 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 Bernd Kummer. The network helps show where Bernd Kummer may publish in the future.
Co-authors
The 10 scholars most cited alongside Bernd Kummer, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.
All Works
Showing the 20 most-cited of 51 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | Non-Linear Parametric Optimization Hit paper breakdown → | 1982 | 600 |
| 2 | 1982 | 144 | |
| 3 | Nonsmooth Equations in Optimization: Regularity, Calculus, Methods and Applications | 2010 | 125 |
| 4 | 1982 | 108 | |
| 5 | Parametric Optimization and Related Topics V | 1987 | 102 |
| 6 | 1992 | 81 | |
| 7 | Nonsmooth Equations in Optimization: Regularity, Calculus, Methods and Applications (Nonconvex Optimization and Its Applications) | 2006 | 59 |
| 8 | 1991 | 57 | |
| 9 | 1991 | 41 | |
| 10 | 2007 | 34 | |
| 11 | 1987 | 31 | |
| 12 | 2002 | 30 | |
| 13 | 1985 | 26 | |
| 14 | 2000 | 23 | |
| 15 | 2009 | 22 | |
| 16 | 1999 | 20 | |
| 17 | 1999 | 18 | |
| 18 | 1977 | 17 | |
| 19 | 2005 | 16 | |
| 20 | 1999 | 14 |
About Bernd Kummer
Bernd Kummer is a scholar working on Numerical Analysis, Computational Theory and Mathematics, Geometry and Topology, Applied Mathematics and Control and Systems Engineering, having authored 51 papers that have together received 1.7k indexed citations. Recurring topics across this work include Advanced Optimization Algorithms Research (37 papers), Optimization and Variational Analysis (33 papers), Iterative Methods for Nonlinear Equations (7 papers), Matrix Theory and Algorithms (6 papers), Fixed Point Theorems Analysis (5 papers), Fractional Differential Equations Solutions (4 papers), Stability and Control of Uncertain Systems (3 papers) and Numerical methods in inverse problems (2 papers). The work is most often cited by research in Numerical Analysis (1.1k citations), Computational Theory and Mathematics (1.3k citations), Geometry and Topology (212 citations), Management Science and Operations Research (261 citations) and Control and Systems Engineering (418 citations). Bernd Kummer has collaborated with scholars based in Germany, Switzerland and United States. Frequent co-authors include Diethard Klatte, J. Guddat, B. Bank, Klaus Tammer, Related Topics, A. Behle, Alexander Y. Kruger, Christian Großmann, Gerhard Wolf-Heidegger and Hans Frick. Their work appears in journals such as Mathematical Programming, Optimization, SIAM Journal on Optimization, Journal of Mathematical Analysis and Applications and Lecture notes in control and information sciences.
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.