Bernd Kummer
Impact in
- Numerical Analysis top 1%
- Advanced Optimization Algorithms Research
- Iterative Methods for Nonlinear Equations
- Computational Theory and Mathematics top 0.5%
- Optimization and Variational Analysis
Papers in
-
- Advanced Optimization Algorithms Research 28
- Iterative Methods for Nonlinear Equations 5
-
- Optimization and Variational Analysis 25
- Matrix Theory and Algorithms 4
- Co-authors
- Diethard Klatte (21 shared papers)B. Bank (2 shared papers)J. Guddat (2 shared papers)A. Behle (3 shared papers)Alexander Y. Kruger (1 shared paper)Christian Großmann (1 shared paper)
- Journals
- Mathematical Programming (5 papers)Optimization (4 papers)Mathematical Methods of Operations Research (2 papers)Journal of Optimization Theory and Applications (2 papers)SIAM Journal on Optimization (2 papers)
- Partner nations
- GermanySwitzerlandCzechia
In The Last Decade
Bernd Kummer
37 papers receiving 1.0k citations
Bernd Kummer's Hit Papers
Peers
Comparison fields: 5 of 66
- Numerical Analysis 733
- Computational Theory and Mathematics 837
- Geometry and Topology 166
- Control and Systems Engineering 297
- Management Science and Operations Research 142
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 37 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | Non-Linear Parametric Optimization Hit paper breakdown → | 1982 | 493 |
| 2 | Nonsmooth Equations in Optimization: Regularity, Calculus, Methods and Applications | 2010 | 113 |
| 3 | 1982 | 89 | |
| 4 | Nonsmooth Equations in Optimization: Regularity, Calculus, Methods and Applications (Nonconvex Optimization and Its Applications) | 2006 | 60 |
| 5 | 1991 | 53 | |
| 6 | 2007 | 34 | |
| 7 | 1991 | 30 | |
| 8 | 1987 | 29 | |
| 9 | 2002 | 28 | |
| 10 | 2000 | 23 | |
| 11 | 2009 | 21 | |
| 12 | 1999 | 19 | |
| 13 | 1999 | 16 | |
| 14 | 2005 | 15 | |
| 15 | 2017 | 14 | |
| 16 | 1977 | 12 | |
| 17 | 1999 | 12 | |
| 18 | 2000 | 11 | |
| 19 | 2006 | 11 | |
| 20 | 2013 | 11 |
About Bernd Kummer
Bernd Kummer is a scholar working on Numerical Analysis, Computational Theory and Mathematics, Geometry and Topology, Modeling and Simulation and Control and Systems Engineering, having authored 37 papers that have together received 1.2k indexed citations. Recurring topics across this work include Advanced Optimization Algorithms Research (28 papers), Optimization and Variational Analysis (25 papers), Fixed Point Theorems Analysis (5 papers), Iterative Methods for Nonlinear Equations (5 papers), Matrix Theory and Algorithms (4 papers), Fractional Differential Equations Solutions (4 papers), Vehicle Routing Optimization Methods (2 papers) and Stability and Control of Uncertain Systems (2 papers). The work is most often cited by research in Numerical Analysis (733 citations), Computational Theory and Mathematics (837 citations), Geometry and Topology (166 citations), Control and Systems Engineering (297 citations) and Management Science and Operations Research (142 citations). Bernd Kummer has collaborated with scholars based in Germany, Switzerland and Czechia. Frequent co-authors include Diethard Klatte, B. Bank, J. Guddat, A. Behle, Alexander Y. Kruger and Christian Großmann. Their work appears in journals such as Mathematical Programming, Optimization, Mathematical Methods of Operations Research, Journal of Optimization Theory and Applications 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.