Vivek Kumar
Impact in
- Modeling and Simulation top 2%
- Fractional Differential Equations Solutions
- Numerical Analysis top 5%
- Differential Equations and Numerical Methods
- Numerical methods for differential equations
Papers in
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- Differential Equations and Numerical Methods 14
- Numerical methods for differential equations 4
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- Mathematical and Theoretical Epidemiology and Ecology Models 12
- Co-authors
- Mani Mehra (4 shared papers)B. Srinivasan (3 shared papers)Mohan K. Kadalbajoo (1 shared paper)M. Rajkumar (2 shared papers)S. Abinaya (1 shared paper)Günter Leugering (2 shared papers)Kapil K. Sharma (1 shared paper)Abhinav Juneja (1 shared paper)
In The Last Decade
Vivek Kumar
46 papers receiving 384 citations
Peers
Comparison fields: 5 of 80
- Modeling and Simulation 116
- Numerical Analysis 136
- Applied Mathematics 40
- Public Health, Environmental and Occupational Health 95
- Computational Mechanics 65
Countries citing papers authored by Vivek Kumar
This map shows the geographic impact of Vivek Kumar'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 Vivek Kumar with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Vivek Kumar more than expected).
Fields of papers citing papers by Vivek Kumar
This network shows the impact of papers produced by Vivek Kumar. 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 Vivek Kumar. The network helps show where Vivek Kumar may publish in the future.
Co-authors
The 21 scholars most cited alongside Vivek Kumar, 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 53 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | 2016 | 54 | |
| 2 | 2017 | 53 | |
| 3 | 2007 | 43 | |
| 4 | 2014 | 34 | |
| 5 | 2009 | 20 | |
| 6 | 2021 | 19 | |
| 7 | 2007 | 15 | |
| 8 | An optimized B-spline method for solving singularly perturbed differential difference equations with delay as well as advance | 2008 | 11 |
| 9 | 2016 | 11 | |
| 10 | 2007 | 10 | |
| 11 | 2021 | 9 | |
| 12 | 2019 | 8 | |
| 13 | 2020 | 8 | |
| 14 | 2020 | 8 | |
| 15 | 2007 | 8 | |
| 16 | 2017 | 7 | |
| 17 | 2022 | 6 | |
| 18 | 2021 | 6 | |
| 19 | 2018 | 5 | |
| 20 | 2022 | 5 |
About Vivek Kumar
Vivek Kumar is a scholar working on Numerical Analysis, Public Health, Environmental and Occupational Health, Computational Mechanics, Genetics and Computational Theory and Mathematics, having authored 53 papers that have together received 400 indexed citations. Recurring topics across this work include Differential Equations and Numerical Methods (14 papers), Mathematical and Theoretical Epidemiology and Ecology Models (12 papers), Evolution and Genetic Dynamics (10 papers), Advanced Mathematical Modeling in Engineering (8 papers), Advanced Numerical Methods in Computational Mathematics (7 papers), Fluid Dynamics and Turbulent Flows (6 papers), Computational Fluid Dynamics and Aerodynamics (5 papers) and Numerical methods for differential equations (4 papers). The work is most often cited by research in Modeling and Simulation (116 citations), Numerical Analysis (136 citations), Applied Mathematics (40 citations), Public Health, Environmental and Occupational Health (95 citations) and Computational Mechanics (65 citations). Vivek Kumar has collaborated with scholars based in India, Germany and Canada. Frequent co-authors include Mani Mehra, B. Srinivasan, Mohan K. Kadalbajoo, M. Rajkumar, S. Abinaya, Günter Leugering, Kapil K. Sharma, Abhinav Juneja, Richa Sharma and Charu Arora. Their work appears in journals such as International Journal of Biomathematics, Applied Mathematical Modelling, Journal of Computational and Applied Mathematics, Applied Mathematics and Computation and Mathematics and Computers in Simulation.
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.