Kai Diethelm
- Modeling and Simulation top 0.01%
- Fractional Differential Equations Solutions 46
- Numerical Analysis top 0.02%
- Iterative Methods for Nonlinear Equations 27
- Numerical methods for differential equations 19
- Differential Equations and Numerical Methods 16
- Applied Mathematics top 0.02%
- Mathematical functions and polynomials 18
- Nonlinear Differential Equations Analysis 12
- Statistical and Nonlinear Physics top 0.1%
- Control and Systems Engineering top 0.5%
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- Numerical methods in engineering 9
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- Electromagnetic Scattering and Analysis 7
- Co-authors
- Neville J. FordAlan D. FreedJuan J. TrujilloEnrico ScalasDumitru BǎleanuYu. LuchkoGuido WalzJudith M. Ford
- Journals
- Journal of Computational and Applied Mathematics (8 papers)Fractional Calculus and Applied Analysis (6 papers)Numerical Algorithms (3 papers)
- Partner nations
- GermanyUnited KingdomUnited States
In The Last Decade
Kai Diethelm
68 papers receiving 12.5k citations
Hit Papers
Peers
Comparison fields: 5 of 139
- Modeling and Simulation 10.9k
- Numerical Analysis 5.6k
- Applied Mathematics 4.8k
- Statistical and Nonlinear Physics 2.6k
- Control and Systems Engineering 1.9k
Countries citing papers authored by Kai Diethelm
This map shows the geographic impact of Kai Diethelm'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 Kai Diethelm with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Kai Diethelm more than expected).
Fields of papers citing papers by Kai Diethelm
This network shows the impact of papers produced by Kai Diethelm. 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 Kai Diethelm. The network helps show where Kai Diethelm may publish in the future.
Co-authorship network
The 24 scholars most cited alongside Kai Diethelm, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.
All Works
| # | Work | ||
|---|---|---|---|
| 1 | 2024 | 0 | |
| 2 | 2024 | 3 | |
| 3 | 2023 | 4 | |
| 4 | 2023 | 1 | |
| 5 | 2022 | 7 | |
| 6 | Trends, directions for further research, and some open problems of fractional calculusbreakdown → | 2022 | 85 |
| 7 | 2022 | 4 | |
| 8 | 2021 | 0 | |
| 9 | 2020 | 43 | |
| 10 | Fractional calculus: models and numerical methods (2nd edition) | 2016 | 15 |
| 11 | 2016 | 149 | |
| 12 | 2014 | 15 | |
| 13 | Fractional Calculusbreakdown → | 2011 | 833 |
| 14 | Smoothness Properties of Solutions of Caputo-Type Fractional Differential Equations | 2007 | 16 |
| 15 | 2006 | 92 | |
| 16 | 2005 | 111 | |
| 17 | 1998 | 9 | |
| 18 | 1997 | 60 | |
| 19 | 1997 | 7 | |
| 20 | 1995 | 23 |
About Kai Diethelm
Kai Diethelm is a scholar working on Modeling and Simulation, Numerical Analysis, Applied Mathematics, Mechanics of Materials and Fluid Flow and Transfer Processes, having authored 70 papers that have together received 13.2k indexed citations. Recurring topics across this work include Fractional Differential Equations Solutions (46 papers), Iterative Methods for Nonlinear Equations (27 papers), Numerical methods for differential equations (19 papers), Mathematical functions and polynomials (18 papers), Differential Equations and Numerical Methods (16 papers), Nonlinear Differential Equations Analysis (12 papers), Numerical methods in engineering (9 papers) and Electromagnetic Scattering and Analysis (7 papers). The work is most often cited by research in Modeling and Simulation (10.9k citations), Numerical Analysis (5.6k citations), Applied Mathematics (4.8k citations), Statistical and Nonlinear Physics (2.6k citations) and Control and Systems Engineering (1.9k citations). Kai Diethelm has collaborated with scholars based in Germany, United Kingdom and United States. Frequent co-authors include Neville J. Ford, Alan D. Freed, Juan J. Trujillo, Enrico Scalas, Dumitru Bǎleanu, Yu. Luchko, Guido Walz, Judith M. Ford, Yuri Luchko and Vasily E. Tarasov. Their work appears in journals such as Journal of Computational and Applied Mathematics, Fractional Calculus and Applied Analysis, Numerical Algorithms, Nonlinear Dynamics and Numerische Mathematik.
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.