Vivek Kumar

627 total citations
52 papers, 389 citations indexed

About

Vivek Kumar is a scholar working on Numerical Analysis, Public Health, Environmental and Occupational Health and Computational Mechanics. According to data from OpenAlex, Vivek Kumar has authored 52 papers receiving a total of 389 indexed citations (citations by other indexed papers that have themselves been cited), including 14 papers in Numerical Analysis, 13 papers in Public Health, Environmental and Occupational Health and 10 papers in Computational Mechanics. Recurrent topics in Vivek Kumar's work include Differential Equations and Numerical Methods (14 papers), Mathematical and Theoretical Epidemiology and Ecology Models (12 papers) and Evolution and Genetic Dynamics (10 papers). Vivek Kumar is often cited by papers focused on Differential Equations and Numerical Methods (14 papers), Mathematical and Theoretical Epidemiology and Ecology Models (12 papers) and Evolution and Genetic Dynamics (10 papers). Vivek Kumar collaborates with scholars based in India, Germany and Canada. Vivek Kumar's co-authors include Mani Mehra, Mohan K. Kadalbajoo, B. Srinivasan, M. Rajkumar, S. Abinaya, Günter Leugering, Kapil K. Sharma, Sapna Juneja, Abhinav Juneja and Richa Sharma and has published in prestigious journals such as SHILAP Revista de lepidopterología, Journal of Sound and Vibration and Applied Mathematics and Computation.

In The Last Decade

Vivek Kumar

46 papers receiving 373 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Vivek Kumar India 10 135 116 95 68 63 52 389
Navnit Jha India 9 168 1.2× 144 1.2× 227 2.4× 44 0.6× 86 1.4× 47 550
M.‐D. Roselló Spain 14 78 0.6× 130 1.1× 55 0.6× 15 0.2× 209 3.3× 68 676
Mohammad Sajid Saudi Arabia 13 49 0.4× 104 0.9× 57 0.6× 31 0.5× 10 0.2× 99 554
Fuat Gürcan Türkiye 13 21 0.2× 101 0.9× 102 1.1× 36 0.5× 144 2.3× 25 318
Maureen P. Edwards Australia 9 47 0.3× 62 0.5× 33 0.3× 17 0.3× 19 0.3× 25 236
A. El Jai France 16 58 0.4× 119 1.0× 66 0.7× 12 0.2× 57 0.9× 51 830
Chandrali Baishya India 12 69 0.5× 370 3.2× 138 1.5× 19 0.3× 7 0.1× 28 494
Shah Jahan India 12 74 0.5× 173 1.5× 42 0.4× 5 0.1× 128 2.0× 46 424
Umer Saeed Pakistan 16 397 2.9× 634 5.5× 150 1.6× 53 0.8× 34 0.5× 50 818

Countries citing papers authored by Vivek Kumar

Since Specialization
Citations

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

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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-authorship network of co-authors of Vivek Kumar

This figure shows the co-authorship network connecting the top 25 collaborators of Vivek Kumar. A scholar is included among the top collaborators of Vivek Kumar based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Vivek Kumar. Vivek Kumar is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Kumar, Vivek, et al.. (2025). Optimizing the bernstein collocation approach: chebyshev-gauss-lobatto nodes in singular perturbation. Physica Scripta. 100(3). 35239–35239.
2.
Kumar, Vivek, et al.. (2025). Legendre wavelet collocation method for singularly‐perturbed problems using operational matrix and Laplace transformation. ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 105(2).
3.
Kumar, Vivek, et al.. (2024). Computational analysis of clot formation risk in diabetes: A mathematical modeling approach. SHILAP Revista de lepidopterología. 21(3). 233–240.
4.
Kumar, Vivek, et al.. (2023). Finger Print Voting System Using Minutiae Algorithm. 9. 559–563. 1 indexed citations
5.
Kumar, Vivek, et al.. (2023). Study of Prey–Predator System with Additional Food and Effective Pest Control Techniques in Agriculture. Iranian Journal of Science. 48(1). 193–211. 1 indexed citations
6.
Kumar, Vivek, et al.. (2023). On the approximation of dam-break problems using a fuzzified HR-TVD scheme. MethodsX. 10. 102003–102003. 1 indexed citations
7.
Kumar, Vivek & Günter Leugering. (2021). Singularly perturbed reaction–diffusion problems on a k‐star graph. Mathematical Methods in the Applied Sciences. 44(18). 14874–14891. 9 indexed citations
8.
Juneja, Abhinav, et al.. (2021). Predicting Diabetes Mellitus With Machine Learning Techniques Using Multi-Criteria Decision Making. International Journal of Information Retrieval Research. 11(2). 38–52. 18 indexed citations
9.
Kumar, Vivek, et al.. (2020). Low-Cost Air Pollution Monitoring Device Based on Air Quality Index. SSRN Electronic Journal. 3 indexed citations
10.
Kumar, Vivek, et al.. (2020). An improved flux limiter using fuzzy modifiers for Hyperbolic Conservation Laws. Mathematics and Computers in Simulation. 181. 16–37. 6 indexed citations
11.
Kumar, Vivek, et al.. (2018). Approach Towards Expert Systems to Increase the Quality of Services in Cloud Computing. International journal of advance research and innovative ideas in education. 4(5). 47–56. 1 indexed citations
12.
Kumar, Vivek, et al.. (2017). Dynamics of a prey-predator system with infection in prey. SHILAP Revista de lepidopterología. 3 indexed citations
13.
Rajkumar, M., et al.. (2017). Smart Garbage Collection Monitoring Systems. International Journal of Scientific Research in Computer Science Engineering and Information Technology. 2(1). 13–17. 2 indexed citations
14.
Kumar, Vivek, et al.. (2016). Dynamical behavior of a stage structured prey-predator model. International journal of nonlinear analysis and applications. 7(1). 231–241. 11 indexed citations
15.
Kumar, Vivek, et al.. (2016). Stability analysis of predator–prey system with migrating prey and disease infection in both species. Applied Mathematical Modelling. 42. 509–539. 54 indexed citations
16.
Kumar, Vivek & B. Srinivasan. (2014). An adaptive mesh strategy for singularly perturbed convection diffusion problems. Applied Mathematical Modelling. 39(7). 2081–2091. 32 indexed citations
17.
Chugh, Renu, et al.. (2012). • SOME FIXED POINT THEOREMS FOR MULTIVALUED MAPPINGS IN GENERALIZED B-METRIC SPACES. 3(3). 265–81. 2 indexed citations
18.
Kumar, Vivek, et al.. (2010). Enabling data storage security in cloud computing for banking enterprise. 217–224. 2 indexed citations
19.
Kumar, Vivek & Mani Mehra. (2009). Wavelet optimized finite difference method using interpolating wavelets for self-adjoint singularly perturbed problems. Journal of Computational and Applied Mathematics. 230(2). 803–812. 20 indexed citations
20.
Kumar, Vivek & Kapil K. Sharma. (2008). An optimized B-spline method for solving singularly perturbed differential difference equations with delay as well as advance. Neural, Parallel & Scientific Computations archive. 16(3). 371–385. 11 indexed citations

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.

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