Hermann Brunner
Impact in
- Modeling and Simulation top 0.02%
- Fractional Differential Equations Solutions
- Numerical Analysis top 0.05%
- Differential Equations and Numerical Methods
- Numerical methods for differential equations
- Iterative Methods for Nonlinear Equations
Papers in
-
- Differential Equations and Numerical Methods 94
- Numerical methods for differential equations 67
- Iterative Methods for Nonlinear Equations 38
-
- Fractional Differential Equations Solutions 93
- Co-authors
- P.J. van der Houwen (3 shared papers)Peter Linz (1 shared paper)Catherine Bandle (2 shared papers)Gennadi Vainikko (3 shared papers)Arvet Pedas (3 shared papers)Hui Liang (10 shared papers)Tao Tang (5 shared papers)Ishtiaq Ali (2 shared papers)
In The Last Decade
Hermann Brunner
164 papers receiving 5.7k citations
Hermann Brunner's Hit Papers
Peers
Comparison fields: 5 of 104
- Modeling and Simulation 4.0k
- Numerical Analysis 4.4k
- Applied Mathematics 1.8k
- Mathematical Physics 667
- Computational Theory and Mathematics 667
Countries citing papers authored by Hermann Brunner
This map shows the geographic impact of Hermann Brunner'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 Hermann Brunner with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Hermann Brunner more than expected).
Fields of papers citing papers by Hermann Brunner
This network shows the impact of papers produced by Hermann Brunner. 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 Hermann Brunner. The network helps show where Hermann Brunner may publish in the future.
Co-authors
The 25 scholars most cited alongside Hermann Brunner, 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 169 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | Collocation Methods for Volterra Integral and Related Functional Differential Equations Hit paper breakdown → | 2004 | 806 |
| 2 | The numerical solution of Volterra equations | 1986 | 445 |
| 3 | 1987 | 307 | |
| 4 | 1998 | 196 | |
| 5 | 1985 | 158 | |
| 6 | Volterra Integral Equations Hit paper breakdown → | 2017 | 153 |
| 7 | 1999 | 137 | |
| 8 | 2001 | 133 | |
| 9 | 1988 | 128 | |
| 10 | 2006 | 125 | |
| 11 | 1990 | 117 | |
| 12 | 2010 | 111 | |
| 13 | 1993 | 107 | |
| 14 | 2017 | 98 | |
| 15 | 2011 | 97 | |
| 16 | 1983 | 95 | |
| 17 | A spectral method for pantograph-type delay differential equations and its convergence analysis | 2009 | 81 |
| 18 | 1992 | 74 | |
| 19 | 2009 | 70 | |
| 20 | 1984 | 69 |
About Hermann Brunner
Hermann Brunner is a scholar working on Numerical Analysis, Modeling and Simulation, Applied Mathematics, Computational Mechanics and Computational Theory and Mathematics, having authored 169 papers that have together received 6.2k indexed citations. Recurring topics across this work include Differential Equations and Numerical Methods (94 papers), Fractional Differential Equations Solutions (93 papers), Numerical methods for differential equations (67 papers), Iterative Methods for Nonlinear Equations (38 papers), Differential Equations and Boundary Problems (27 papers), Nonlinear Differential Equations Analysis (26 papers), Advanced Numerical Methods in Computational Mathematics (18 papers) and Advanced Mathematical Modeling in Engineering (13 papers). The work is most often cited by research in Modeling and Simulation (4.0k citations), Numerical Analysis (4.4k citations), Applied Mathematics (1.8k citations), Mathematical Physics (667 citations) and Computational Theory and Mathematics (667 citations). Hermann Brunner has collaborated with scholars based in Canada, Hong Kong and China. Frequent co-authors include P.J. van der Houwen, Peter Linz, Catherine Bandle, Gennadi Vainikko, Arvet Pedas, Hui Liang, Tao Tang, Ishtiaq Ali, Hehu Xie and Shuhuang Xiang. Their work appears in journals such as Mathematics of Computation, SIAM Journal on Numerical Analysis, Journal of Computational and Applied Mathematics, IMA Journal of Numerical Analysis and BIT Numerical Mathematics.
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.