Kai Diethelm
Impact in
- Modeling and Simulation top 0.01%
- Fractional Differential Equations Solutions
- Numerical Analysis top 0.02%
- Differential Equations and Numerical Methods
- Iterative Methods for Nonlinear Equations
- Numerical methods for differential equations
Papers in
-
- Iterative Methods for Nonlinear Equations 27
- Numerical methods for differential equations 20
- Differential Equations and Numerical Methods 16
-
- Fractional Differential Equations Solutions 47
- Co-authors
- Neville J. Ford (12 shared papers)Alan D. Freed (8 shared papers)Enrico Scalas (5 shared papers)Juan J. Trujillo (5 shared papers)Dumitru Bǎleanu (5 shared papers)Yu. Luchko (1 shared paper)Guido Walz (1 shared paper)Judith M. Ford (1 shared paper)
- Journals
- Journal of Computational and Applied Mathematics (8 papers)Fractional Calculus and Applied Analysis (6 papers)Numerical Algorithms (3 papers)Nonlinear Dynamics (3 papers)Numerical Functional Analysis and Optimization (2 papers)
- Partner nations
- GermanyUnited KingdomUnited States
In The Last Decade
Kai Diethelm
69 papers receiving 12.8k citations
Kai Diethelm's Hit Papers
Peers
Comparison fields: 5 of 139
- Modeling and Simulation 11.0k
- Numerical Analysis 5.7k
- Applied Mathematics 4.9k
- 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-authors
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
Showing the 20 most-cited of 72 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | The Analysis of Fractional Differential Equations Hit paper breakdown → | 2010 | 2895 |
| 2 | Analysis of Fractional Differential Equations Hit paper breakdown → | 2002 | 2575 |
| 3 | A Predictor-Corrector Approach for the Numerical Solution of Fractional Differential Equations Hit paper breakdown → | 2002 | 1055 |
| 4 | The Analysis of Fractional Differential Equations: An Application-Oriented Exposition Using Differential Operators of Caputo Type Hit paper breakdown → | 2010 | 924 |
| 5 | Fractional Calculus Hit paper breakdown → | 2011 | 857 |
| 6 | Detailed Error Analysis for a Fractional Adams Method Hit paper breakdown → | 2004 | 795 |
| 7 | Algorithms for the fractional calculus: A selection of numerical methods Hit paper breakdown → | 2004 | 518 |
| 8 | AN ALGORITHM FOR THE NUMERICAL SOLUTION OF DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER Hit paper breakdown → | 1997 | 468 |
| 9 | Fractional Calculus: Models and Numerical Methods Hit paper breakdown → | 2016 | 466 |
| 10 | A fractional calculus based model for the simulation of an outbreak of dengue fever Hit paper breakdown → | 2012 | 336 |
| 11 | Fractional Calculus Hit paper breakdown → | 2012 | 325 |
| 12 | 2003 | 258 | |
| 13 | 2002 | 236 | |
| 14 | 2008 | 182 | |
| 15 | 1997 | 164 | |
| 16 | 2016 | 152 | |
| 17 | 2005 | 111 | |
| 18 | 2003 | 107 | |
| 19 | 2006 | 94 | |
| 20 | Trends, directions for further research, and some open problems of fractional calculus Hit paper breakdown → | 2022 | 92 |
About Kai Diethelm
Kai Diethelm is a scholar working on Numerical Analysis, Modeling and Simulation, Applied Mathematics, Mechanics of Materials and Atomic and Molecular Physics, and Optics, having authored 72 papers that have together received 13.5k indexed citations. Recurring topics across this work include Fractional Differential Equations Solutions (47 papers), Iterative Methods for Nonlinear Equations (27 papers), Numerical methods for differential equations (20 papers), Mathematical functions and polynomials (19 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 (8 papers). The work is most often cited by research in Modeling and Simulation (11.0k citations), Numerical Analysis (5.7k citations), Applied Mathematics (4.9k 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, Enrico Scalas, Juan J. Trujillo, Dumitru Bǎleanu, Yu. Luchko, Guido Walz, Judith M. Ford, Virginia Kiryakova and J. A. Tenreiro Machado. Their work appears in journals such as Journal of Computational and Applied Mathematics, Fractional Calculus and Applied Analysis, Numerical Algorithms, Nonlinear Dynamics and Numerical Functional Analysis and Optimization.
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.