Lothar Collatz
Impact in
- Numerical Analysis top 0.5%
- Numerical methods for differential equations
- Differential Equations and Numerical Methods
- Iterative Methods for Nonlinear Equations
- Computational Theory and Mathematics top 0.5%
- Matrix Theory and Algorithms
Papers in
-
- Physics and Engineering Research Articles 8
- Fluid Dynamics and Turbulent Flows 1
- Advanced Numerical Analysis Techniques 1
-
- Numerical methods for differential equations 5
- Co-authors
- Peter Williams (1 shared paper)Richard C. Roberts (1 shared paper)Werner Krabs (1 shared paper)L. Collatz (1 shared paper)Henry Görtler (1 shared paper)
- Journals
- Zeitschrift für angewandte Mathematik und Physik (6 papers)Mathematics of Computation (2 papers)Results in Mathematics (1 paper)Mathematische Zeitschrift (1 paper)Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (2 papers)
- Partner nations
- GermanyNetherlands
In The Last Decade
Lothar Collatz
25 papers receiving 2.7k citations
Lothar Collatz's Hit Papers
Peers
Comparison fields: 5 of 113
- Numerical Analysis 1.0k
- Computational Theory and Mathematics 1.0k
- Geometry and Topology 411
- Computational Mechanics 840
- Applied Mathematics 361
Countries citing papers authored by Lothar Collatz
This map shows the geographic impact of Lothar Collatz'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 Lothar Collatz with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Lothar Collatz more than expected).
Fields of papers citing papers by Lothar Collatz
This network shows the impact of papers produced by Lothar Collatz. 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 Lothar Collatz. The network helps show where Lothar Collatz may publish in the future.
Co-authors
The 5 scholars most cited alongside Lothar Collatz, 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 28 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | The Numerical Treatment of Differential Equations Hit paper breakdown → | 1960 | 1076 |
| 2 | Spektren endlicher grafen Hit paper breakdown → | 1957 | 378 |
| 3 | 1960 | 305 | |
| 4 | 1968 | 264 | |
| 5 | 1964 | 235 | |
| 6 | 1960 | 200 | |
| 7 | 1964 | 176 | |
| 8 | 1951 | 157 | |
| 9 | 1961 | 157 | |
| 10 | 1951 | 95 | |
| 11 | 1966 | 48 | |
| 12 | 1973 | 33 | |
| 13 | 1971 | 28 | |
| 14 | 1953 | 18 | |
| 15 | Differential Equations: An Introduction With Applications | 1986 | 14 |
| 16 | 1978 | 9 | |
| 17 | 1960 | 8 | |
| 18 | 1958 | 7 | |
| 19 | 1954 | 5 | |
| 20 | 1980 | 4 |
About Lothar Collatz
Lothar Collatz is a scholar working on Computational Mechanics, Numerical Analysis, Computational Theory and Mathematics, Geometry and Topology and Mechanical Engineering, having authored 28 papers that have together received 3.2k indexed citations. Recurring topics across this work include Physics and Engineering Research Articles (8 papers), Numerical methods for differential equations (5 papers), Matrix Theory and Algorithms (3 papers), Fluid Dynamics and Turbulent Flows (1 paper), Hydraulic flow and structures (1 paper), Electromagnetic Simulation and Numerical Methods (1 paper), DNA and Biological Computing (1 paper) and Advanced Numerical Analysis Techniques (1 paper). The work is most often cited by research in Numerical Analysis (1.0k citations), Computational Theory and Mathematics (1.0k citations), Geometry and Topology (411 citations), Computational Mechanics (840 citations) and Applied Mathematics (361 citations). Lothar Collatz has collaborated with scholars based in Germany and Netherlands. Frequent co-authors include Peter Williams, Richard C. Roberts, Werner Krabs, L. Collatz and Henry Görtler. Their work appears in journals such as Zeitschrift für angewandte Mathematik und Physik, Mathematics of Computation, Results in Mathematics, Mathematische Zeitschrift and Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg.
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.