Erwin Fehlberg
Impact in
- Numerical Analysis top 1%
- Numerical methods for differential equations
- Differential Equations and Numerical Methods
- Computational Mechanics top 2%
- Advanced Numerical Methods in Computational Mathematics
- Computational Fluid Dynamics and Aerodynamics
Papers in
-
- Numerical methods for differential equations 23
- Differential Equations and Numerical Methods 8
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- Matrix Theory and Algorithms 7
- Journals
- Computing (5 papers)ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (14 papers)NASA Technical Reports Server (NASA) (7 papers)NASA STI Repository (National Aeronautics and Space Administration) (2 papers)
- Partner nations
- United StatesGermany
In The Last Decade
Erwin Fehlberg
28 papers receiving 1.3k citations
Peers
Comparison fields: 5 of 115
- Numerical Analysis 619
- Computational Mechanics 389
- Modeling and Simulation 75
- Computational Theory and Mathematics 257
- Statistical and Nonlinear Physics 159
Countries citing papers authored by Erwin Fehlberg
This map shows the geographic impact of Erwin Fehlberg'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 Erwin Fehlberg with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Erwin Fehlberg more than expected).
Fields of papers citing papers by Erwin Fehlberg
This network shows the impact of papers produced by Erwin Fehlberg. 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 Erwin Fehlberg. The network helps show where Erwin Fehlberg may publish in the future.
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All Works
Showing the 20 most-cited of 28 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | Low-order classical Runge-Kutta formulas with stepsize control and their application to some heat transfer problems | 1969 | 367 |
| 2 | 1970 | 305 | |
| 3 | Classical Fifth-, Sixth-, Seventh-, and Eighth-Order Runge-Kutta Formulas with Stepsize Control | 1968 | 256 |
| 4 | 1969 | 157 | |
| 5 | 1972 | 40 | |
| 6 | Classical eight- and lower-order Runge-Kutta-Nystroem formulas with stepsize control for special second-order differential equations | 1972 | 37 |
| 7 | 1975 | 35 | |
| 8 | 1964 | 32 | |
| 9 | 1966 | 31 | |
| 10 | 1981 | 26 | |
| 11 | 1964 | 25 | |
| 12 | 1986 | 15 | |
| 13 | Classical fourth- and lower order Runge-Kutta formulas with stepsize control and their application to heat transfer problems | 1970 | 14 |
| 14 | 1985 | 13 | |
| 15 | 1958 | 10 | |
| 16 | Classical seventh-, sixth-, and fifth-order Runge-Kutta-Nystrom formulas with stepsize control for general second-order differential equations | 1974 | 9 |
| 17 | 1961 | 8 | |
| 18 | Classical eighth- and lower-order Runge-Kutta-Nystroem formulas with a new stepsize control procedure for special second-order differential equations | 1973 | 8 |
| 19 | New one-step integration methods of high-order accuracy applied to some problems in celestial mechanics | 1966 | 7 |
| 20 | Runge-kutta type formulas of high-order accuracy and their application to the numerical integration of the restricted problem of three bodies. | 1964 | 6 |
About Erwin Fehlberg
Erwin Fehlberg is a scholar working on Numerical Analysis, Computational Theory and Mathematics, Computational Mechanics, Electrical and Electronic Engineering and Statistics, Probability and Uncertainty, having authored 28 papers that have together received 1.4k indexed citations. Recurring topics across this work include Numerical methods for differential equations (23 papers), Differential Equations and Numerical Methods (8 papers), Electromagnetic Simulation and Numerical Methods (8 papers), Matrix Theory and Algorithms (7 papers), Physics and Engineering Research Articles (6 papers), Advanced Numerical Methods in Computational Mathematics (4 papers), Engineering and Materials Science Studies (3 papers) and Civil and Structural Engineering Research (3 papers). The work is most often cited by research in Numerical Analysis (619 citations), Computational Mechanics (389 citations), Modeling and Simulation (75 citations), Computational Theory and Mathematics (257 citations) and Statistical and Nonlinear Physics (159 citations). Erwin Fehlberg has collaborated with scholars based in United States and Germany. Their work appears in journals such as Computing, ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, NASA Technical Reports Server (NASA) and NASA STI Repository (National Aeronautics and Space Administration).
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.