Gerhard Opfer
Impact in
- Numerical Analysis top 5%
- Iterative Methods for Nonlinear Equations
- Advanced Optimization Algorithms Research
- Numerical methods for differential equations
- Applied Mathematics top 2%
- Algebraic and Geometric Analysis
- Mathematical functions and polynomials
Papers in
-
- Algebraic and Geometric Analysis 20
- Mathematical functions and polynomials 9
-
- Mathematics and Applications 7
- Advanced Differential Equations and Dynamical Systems 6
- Co-authors
- Hans Joachim Oberle (4 shared papers)Glenn Schober (2 shared papers)Lothar Reichel (2 shared papers)MADAN LAL PURI (3 shared papers)Christoph M. Hoffmann (3 shared papers)Karin Gatermann (3 shared papers)Bernd Michael Fischer (1 shared paper)Carl Geiger (1 shared paper)
- Journals
- Mathematics of Computation (7 papers)Journal of Approximation Theory (7 papers)Numerische Mathematik (6 papers)BIT Numerical Mathematics (1 paper)Numerical Linear Algebra with Applications (1 paper)
- Partner nations
- GermanyCzechiaUnited States
In The Last Decade
Gerhard Opfer
51 papers receiving 371 citations
Peers
Comparison fields: 5 of 50
- Numerical Analysis 152
- Applied Mathematics 212
- Computational Theory and Mathematics 206
- Algebra and Number Theory 55
- Geometry and Topology 92
Countries citing papers authored by Gerhard Opfer
This map shows the geographic impact of Gerhard Opfer'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 Gerhard Opfer with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Gerhard Opfer more than expected).
Fields of papers citing papers by Gerhard Opfer
This network shows the impact of papers produced by Gerhard Opfer. 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 Gerhard Opfer. The network helps show where Gerhard Opfer may publish in the future.
Co-authors
The 13 scholars most cited alongside Gerhard Opfer, 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 61 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | 1987 | 48 | |
| 2 | 1991 | 44 | |
| 3 | 1984 | 44 | |
| 4 | 2010 | 41 | |
| 5 | 2009 | 22 | |
| 6 | 1978 | 21 | |
| 7 | 1982 | 16 | |
| 8 | 1981 | 15 | |
| 9 | 1969 | 15 | |
| 10 | 2003 | 15 | |
| 11 | Polynomials and Vandermonde matrices over the field of quaternions. | 2009 | 13 |
| 12 | 1992 | 12 | |
| 13 | 1979 | 12 | |
| 14 | 1982 | 11 | |
| 15 | Linear equations in quaternionic variables | 2008 | 11 |
| 16 | 1980 | 10 | |
| 17 | 1999 | 10 | |
| 18 | 1991 | 9 | |
| 19 | Hamburger Beitrage zur Angewandten Mathematik | 2005 | 8 |
| 20 | 1982 | 7 |
About Gerhard Opfer
Gerhard Opfer is a scholar working on Applied Mathematics, Geometry and Topology, Numerical Analysis, Computational Theory and Mathematics and Algebra and Number Theory, having authored 61 papers that have together received 462 indexed citations. Recurring topics across this work include Algebraic and Geometric Analysis (20 papers), Matrix Theory and Algorithms (18 papers), Advanced Numerical Analysis Techniques (11 papers), Advanced Topics in Algebra (11 papers), Mathematical functions and polynomials (9 papers), Iterative Methods for Nonlinear Equations (9 papers), Mathematics and Applications (7 papers) and Advanced Differential Equations and Dynamical Systems (6 papers). The work is most often cited by research in Numerical Analysis (152 citations), Applied Mathematics (212 citations), Computational Theory and Mathematics (206 citations), Algebra and Number Theory (55 citations) and Geometry and Topology (92 citations). Gerhard Opfer has collaborated with scholars based in Germany, Czechia and United States. Frequent co-authors include Hans Joachim Oberle, Glenn Schober, Lothar Reichel, MADAN LAL PURI, Christoph M. Hoffmann, Karin Gatermann, Bernd Michael Fischer, Carl Geiger, M. Hartmann and Reiner Lauterbach. Their work appears in journals such as Mathematics of Computation, Journal of Approximation Theory, Numerische Mathematik, BIT Numerical Mathematics and Numerical Linear Algebra with Applications.
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.