Bernd Kummer
Impact in
- Numerical Analysis top 0.5%
- Advanced Optimization Algorithms Research
- Iterative Methods for Nonlinear Equations
- Computational Theory and Mathematics top 0.2%
- Optimization and Variational Analysis
Papers in
-
- Optimization and Variational Analysis 36
- Advanced Graph Theory Research 1
-
- Iterative Methods for Nonlinear Equations 9
- Advanced Optimization Algorithms Research 6
- Co-authors
- Diethard Klatte (23 shared papers)J. Guddat (4 shared papers)B. Bank (3 shared papers)K. Tammer (2 shared papers)Klaus Tammer (1 shared paper)Alexander Y. Kruger (1 shared paper)
- Journals
- Mathematical Programming (4 papers)Optimization (4 papers)Journal of Mathematical Analysis and Applications (2 papers)Mathematical Methods of Operations Research (2 papers)SIAM Journal on Optimization (2 papers)
- Partner nations
- GermanySwitzerlandAustralia
In The Last Decade
Bernd Kummer
44 papers receiving 1.7k citations
Bernd Kummer's Hit Papers
Peers
Comparison fields: 5 of 47
- Numerical Analysis 489
- Computational Theory and Mathematics 1.3k
- Management Science and Operations Research 196
- Control and Systems Engineering 156
- Mathematical Physics 57
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 6 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 44 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | Non-Linear Parametric Optimization Hit paper breakdown → | 1982 | 594 |
| 2 | 1982 | 141 | |
| 3 | Journal of Convex Analysis | 2012 | 140 |
| 4 | Nonsmooth Equations in Optimization: Regularity, Calculus, Methods and Applications | 2010 | 126 |
| 5 | 1982 | 107 | |
| 6 | Parametric Optimization and Related Topics V | 1987 | 101 |
| 7 | 1988 | 100 | |
| 8 | 1992 | 81 | |
| 9 | 1991 | 61 | |
| 10 | Nonsmooth Equations in Optimization: Regularity, Calculus, Methods and Applications (Nonconvex Optimization and Its Applications) | 2006 | 59 |
| 11 | 1991 | 42 | |
| 12 | 2007 | 35 | |
| 13 | 2002 | 31 | |
| 14 | 1985 | 25 | |
| 15 | 2000 | 25 | |
| 16 | 2009 | 25 | |
| 17 | 1999 | 21 | |
| 18 | 1999 | 18 | |
| 19 | 1977 | 17 | |
| 20 | 1999 | 16 |
About Bernd Kummer
Bernd Kummer is a scholar working on Computational Theory and Mathematics, Numerical Analysis, Discrete Mathematics and Combinatorics, Geometry and Topology and Management Science and Operations Research, having authored 44 papers that have together received 1.9k indexed citations. Recurring topics across this work include Optimization and Variational Analysis (36 papers), Iterative Methods for Nonlinear Equations (9 papers), Advanced Optimization Algorithms Research (6 papers), Optimization and Mathematical Programming (1 paper), Fixed Point Theorems Analysis (1 paper), Advanced Graph Theory Research (1 paper), Game Theory and Applications (1 paper) and Limits and Structures in Graph Theory (1 paper). The work is most often cited by research in Numerical Analysis (489 citations), Computational Theory and Mathematics (1.3k citations), Management Science and Operations Research (196 citations), Control and Systems Engineering (156 citations) and Mathematical Physics (57 citations). Bernd Kummer has collaborated with scholars based in Germany, Switzerland and Australia. Frequent co-authors include Diethard Klatte, J. Guddat, B. Bank, K. Tammer, Klaus Tammer and Alexander Y. Kruger. Their work appears in journals such as Mathematical Programming, Optimization, Journal of Mathematical Analysis and Applications, Mathematical Methods of Operations Research and SIAM Journal on Optimization.
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.