Alpesh Kumar

721 total citations
27 papers, 545 citations indexed

About

Alpesh Kumar is a scholar working on Numerical Analysis, Finance and Mechanics of Materials. According to data from OpenAlex, Alpesh Kumar has authored 27 papers receiving a total of 545 indexed citations (citations by other indexed papers that have themselves been cited), including 22 papers in Numerical Analysis, 13 papers in Finance and 11 papers in Mechanics of Materials. Recurrent topics in Alpesh Kumar's work include Differential Equations and Numerical Methods (20 papers), Stochastic processes and financial applications (13 papers) and Fractional Differential Equations Solutions (10 papers). Alpesh Kumar is often cited by papers focused on Differential Equations and Numerical Methods (20 papers), Stochastic processes and financial applications (13 papers) and Fractional Differential Equations Solutions (10 papers). Alpesh Kumar collaborates with scholars based in India, Thailand and China. Alpesh Kumar's co-authors include Mohan K. Kadalbajoo, N. V. Reddy, Anirban Bhattacharya, Jian Cao, Rajiv Malhotra, B. V. Rathish Kumar, Kampanart Huanbutta, Inderbir Singh, Tanikan Sangnim and Deepak Yadav and has published in prestigious journals such as SIAM Journal on Numerical Analysis, CIRP Annals and Applied Mathematics and Computation.

In The Last Decade

Alpesh Kumar

25 papers receiving 531 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Alpesh Kumar India 14 268 216 200 160 128 27 545
Miglena N. Koleva Bulgaria 8 121 0.5× 27 0.1× 92 0.5× 90 0.6× 26 0.2× 64 266
Rob De Staelen Belgium 11 233 0.9× 75 0.3× 295 1.5× 40 0.3× 6 0.0× 29 406
Jincheng Ren China 15 502 1.9× 276 1.3× 507 2.5× 3 0.0× 148 1.2× 34 687
Liping Wen China 12 307 1.1× 22 0.1× 194 1.0× 8 0.1× 41 0.3× 48 487
M. Ghasemi Iran 11 204 0.8× 64 0.3× 175 0.9× 1 0.0× 58 0.5× 32 355
Giovambattista Amendola Italy 8 16 0.1× 168 0.8× 35 0.2× 5 0.0× 45 0.4× 41 350
Yikan Liu Japan 10 326 1.2× 241 1.1× 532 2.7× 3 0.0× 16 0.1× 25 774
Kamran Kamran Pakistan 11 177 0.7× 75 0.3× 230 1.1× 34 0.3× 48 333
Joachim Gwinner Germany 16 92 0.3× 232 1.1× 10 0.1× 4 0.0× 98 0.8× 41 530

Countries citing papers authored by Alpesh Kumar

Since Specialization
Citations

This map shows the geographic impact of Alpesh 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 Alpesh Kumar with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Alpesh Kumar more than expected).

Fields of papers citing papers by Alpesh Kumar

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Alpesh 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 Alpesh Kumar. The network helps show where Alpesh Kumar may publish in the future.

Co-authorship network of co-authors of Alpesh Kumar

This figure shows the co-authorship network connecting the top 25 collaborators of Alpesh Kumar. A scholar is included among the top collaborators of Alpesh 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 Alpesh Kumar. Alpesh 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, Alpesh, et al.. (2024). RBF–based IMEX finite difference schemes for pricing option under liquidity switching. International Journal of Computer Mathematics. 101(7). 768–788. 1 indexed citations
2.
3.
Yadav, Deepak, et al.. (2023). RBF based some implicit–explicit finite difference schemes for pricing option under extended jump-diffusion model. Engineering Analysis with Boundary Elements. 156. 392–406. 5 indexed citations
4.
Zhang, Shengliang, et al.. (2023). Meshless symplectic and multi-symplectic scheme for the coupled nonlinear Schrödinger system based on local RBF approximation. Computers & Mathematics with Applications. 134. 16–32. 1 indexed citations
5.
Yadav, Deepak, et al.. (2023). RBF-FD based some implicit-explicit methods for pricing option under regime-switching jump-diffusion model with variable coefficients. Numerical Algorithms. 97(2). 645–685. 1 indexed citations
6.
Yadav, Deepak, et al.. (2023). Errors in the IMEX-BDF-OS methods for pricing American style options under the jump-diffusion model. Computational and Applied Mathematics. 43(1).
7.
Kumar, Alpesh, et al.. (2022). Advancements in Rectal Drug Delivery Systems: Clinical Trials, and Patents Perspective. Pharmaceutics. 14(10). 2210–2210. 51 indexed citations
8.
Kumar, Alpesh, et al.. (2022). An RBF Based Finite Difference Method for the Numerical Approximation of Multi-term Nonlinear Time Fractional Two Dimensional Diffusion-Wave Equation. International Journal of Applied and Computational Mathematics. 8(2). 3 indexed citations
9.
Kumar, Alpesh, et al.. (2020). Numerical solution of time fractional tricomi-type equation by an RBF based meshless method. Engineering Analysis with Boundary Elements. 118. 96–107. 13 indexed citations
10.
Kumar, Alpesh, et al.. (2020). A numerical solution of time-fractional mixed diffusion and diffusion-wave equation by an RBF-based meshless method. Engineering With Computers. 38(2). 1883–1903. 13 indexed citations
11.
Kumar, Alpesh, et al.. (2020). A local meshless method to approximate the time-fractional telegraph equation. Engineering With Computers. 37(4). 3473–3488. 31 indexed citations
12.
Kumar, Alpesh, et al.. (2019). A meshless local collocation method for time fractional diffusion wave equation. Computers & Mathematics with Applications. 78(6). 1851–1861. 44 indexed citations
13.
Kumar, Alpesh & B. V. Rathish Kumar. (2019). A RBF based finite difference method for option pricing under regime-switching jump-diffusion model. International Journal for Computational Methods in Engineering Science and Mechanics. 20(5). 451–459. 4 indexed citations
14.
Kadalbajoo, Mohan K., et al.. (2017). Radial-basis-function-based finite difference operator splitting method for pricing American options. International Journal of Computer Mathematics. 95(11). 2343–2359. 11 indexed citations
15.
16.
Kadalbajoo, Mohan K., et al.. (2016). A radial basis function based implicit–explicit method for option pricing under jump-diffusion models. Applied Numerical Mathematics. 110. 159–173. 27 indexed citations
17.
Kadalbajoo, Mohan K., et al.. (2015). Second Order Accurate IMEX Methods for Option Pricing Under Merton and Kou Jump-Diffusion Models. Journal of Scientific Computing. 65(3). 979–1024. 37 indexed citations
18.
Kadalbajoo, Mohan K., et al.. (2013). Application of radial basis function with L-stable Padé time marching scheme for pricing exotic option. Computers & Mathematics with Applications. 66(4). 500–511. 10 indexed citations
19.
Kadalbajoo, Mohan K., et al.. (2011). A cubic B-spline collocation method for a numerical solution of the generalized Black–Scholes equation. Mathematical and Computer Modelling. 55(3-4). 1483–1505. 61 indexed citations
20.
Kumar, Alpesh, et al.. (1978). Optimization of Cold Rolling by Nonlinear Programming. Journal of Engineering for Industry. 100(2). 186–192. 3 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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