Knut Petras
Impact in
- Numerical Analysis top 2%
- Iterative Methods for Nonlinear Equations
- Mathematical Approximation and Integration
- Applied Mathematics top 2%
- Mathematical functions and polynomials
Papers in
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- Mathematical Approximation and Integration 15
- Iterative Methods for Nonlinear Equations 11
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- Mathematical functions and polynomials 20
- Co-authors
- Franz Peherstorfer (2 shared papers)Nathalie Revol (1 shared paper)Erich Novak (3 shared papers)Klaus Ritter (2 shared papers)Christiane Helzel (1 shared paper)
In The Last Decade
Knut Petras
42 papers receiving 507 citations
Peers
Comparison fields: 5 of 67
- Numerical Analysis 237
- Applied Mathematics 249
- Statistics, Probability and Uncertainty 113
- Computational Theory and Mathematics 165
- Modeling and Simulation 38
Countries citing papers authored by Knut Petras
This map shows the geographic impact of Knut Petras'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 Knut Petras with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Knut Petras more than expected).
Fields of papers citing papers by Knut Petras
This network shows the impact of papers produced by Knut Petras. 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 Knut Petras. The network helps show where Knut Petras may publish in the future.
Co-authors
The 5 scholars most cited alongside Knut Petras, 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 42 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | 2003 | 88 | |
| 2 | 2001 | 46 | |
| 3 | Quadrature Theory: The Theory of Numerical Integration on a Compact Interval | 2011 | 44 |
| 4 | 2000 | 40 | |
| 5 | 2011 | 39 | |
| 6 | 2000 | 31 | |
| 7 | 1990 | 28 | |
| 8 | 2003 | 25 | |
| 9 | 2004 | 17 | |
| 10 | 1990 | 17 | |
| 11 | 1999 | 16 | |
| 12 | 1993 | 13 | |
| 13 | 1990 | 12 | |
| 14 | 1991 | 12 | |
| 15 | 1988 | 12 | |
| 16 | 2002 | 11 | |
| 17 | 1995 | 10 | |
| 18 | 1997 | 9 | |
| 19 | 1993 | 8 | |
| 20 | 1992 | 7 |
About Knut Petras
Knut Petras is a scholar working on Numerical Analysis, Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics and Atomic and Molecular Physics, and Optics, having authored 42 papers that have together received 544 indexed citations. Recurring topics across this work include Mathematical functions and polynomials (20 papers), Mathematical Approximation and Integration (15 papers), Iterative Methods for Nonlinear Equations (11 papers), Matrix Theory and Algorithms (7 papers), Electromagnetic Scattering and Analysis (6 papers), Numerical Methods and Algorithms (5 papers), Control Systems and Identification (4 papers) and Probabilistic and Robust Engineering Design (3 papers). The work is most often cited by research in Numerical Analysis (237 citations), Applied Mathematics (249 citations), Statistics, Probability and Uncertainty (113 citations), Computational Theory and Mathematics (165 citations) and Modeling and Simulation (38 citations). Knut Petras has collaborated with scholars based in Germany, France and Austria. Frequent co-authors include Franz Peherstorfer, Nathalie Revol, Erich Novak, Klaus Ritter and Christiane Helzel. Their work appears in journals such as Journal of Complexity, Numerische Mathematik, Journal of Approximation Theory, Journal of Computational and Applied Mathematics and SIAM Journal on Numerical Analysis.
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.