Vikas Gupta

797 total citations
35 papers, 565 citations indexed

About

Vikas Gupta is a scholar working on Numerical Analysis, Modeling and Simulation and Computational Theory and Mathematics. According to data from OpenAlex, Vikas Gupta has authored 35 papers receiving a total of 565 indexed citations (citations by other indexed papers that have themselves been cited), including 30 papers in Numerical Analysis, 13 papers in Modeling and Simulation and 10 papers in Computational Theory and Mathematics. Recurrent topics in Vikas Gupta's work include Differential Equations and Numerical Methods (25 papers), Fractional Differential Equations Solutions (13 papers) and Advanced Mathematical Modeling in Engineering (10 papers). Vikas Gupta is often cited by papers focused on Differential Equations and Numerical Methods (25 papers), Fractional Differential Equations Solutions (13 papers) and Advanced Mathematical Modeling in Engineering (10 papers). Vikas Gupta collaborates with scholars based in India, Mexico and United States. Vikas Gupta's co-authors include Mohan K. Kadalbajoo, Ritesh Kumar Dubey, Ashish Awasthi, Mukesh Kumar, Sunil Kumar, J. F. Gómez‐Aguilar, Ajay Kumar, Dia Zeidan, Ulrich Abel and Daniel S. Berger and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Applied Mathematics and Computation and Computers & Mathematics with Applications.

In The Last Decade

Vikas Gupta

32 papers receiving 536 citations

Peers

Vikas Gupta
Jugal Mohapatra India
V. Shanthi India
Li‐Bin Liu China
J.C. Jorge Spain
S. Chandra Sekhara Rao India
Y. N. Reddy India
Hradyesh Kumar Mishra India
S. N. Jator United States
C. Clavero Spain
P. Pramod Chakravarthy India
Jugal Mohapatra India
Vikas Gupta
Citations per year, relative to Vikas Gupta Vikas Gupta (= 1×) peers Jugal Mohapatra

Countries citing papers authored by Vikas Gupta

Since Specialization
Citations

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

Fields of papers citing papers by Vikas Gupta

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Vikas Gupta

This figure shows the co-authorship network connecting the top 25 collaborators of Vikas Gupta. A scholar is included among the top collaborators of Vikas Gupta 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 Vikas Gupta. Vikas Gupta 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
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Gupta, Vikas, et al.. (2023). A robust uniformly convergent finite difference scheme for the time-fractional singularly perturbed convection-diffusion problem. Computers & Mathematics with Applications. 137. 126–146. 15 indexed citations
5.
Gupta, Vikas, et al.. (2023). Parameter robust higher‐order finite difference method for convection‐diffusion problem with time delay. Numerical Methods for Partial Differential Equations. 39(6). 4145–4173. 6 indexed citations
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Gupta, Vikas, et al.. (2023). An almost second-order robust computational technique for singularly perturbed parabolic turning point problem with an interior layer. Mathematics and Computers in Simulation. 211. 192–213. 2 indexed citations
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Gupta, Vikas, et al.. (2022). Higher order robust numerical computation for singularly perturbed problem involving discontinuous convective and source term. Mathematical Methods in the Applied Sciences. 45(8). 4876–4898. 8 indexed citations
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Gupta, Vikas, et al.. (2022). An approach based on fractional-order Lagrange polynomials for the numerical approximation of fractional order non-linear Volterra-Fredholm integro-differential equations. Journal of Applied Mathematics and Computing. 69(1). 251–272. 12 indexed citations
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Pellerin, John, Yusheng Bian, Ken Giewont, et al.. (2022). Optical performance and reliability assessment from self-aligned single mode fiber attach for O-band silicon photonics platform. 2022 IEEE 72nd Electronic Components and Technology Conference (ECTC). 403–409. 2 indexed citations
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Gupta, Vikas, et al.. (2021). A mesh adaptation algorithm using new monitor and estimator function for discontinuous and layered solution. Numerical Algebra Control and Optimization. 12(3). 637–637.
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Gupta, Vikas, et al.. (2021). Second-order parameter-uniform finite difference scheme for singularly perturbed parabolic problem with a boundary turning point. The Journal of Difference Equations and Applications. 27(2). 223–240. 16 indexed citations
13.
Dubey, Ritesh Kumar & Vikas Gupta. (2019). A Mesh Refinement Algorithm for Singularly Perturbed Boundary and Interior Layer Problems. International Journal of Computational Methods. 17(7). 1950024–1950024. 11 indexed citations
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Gupta, Vikas, Mohan K. Kadalbajoo, & Ritesh Kumar Dubey. (2018). A parameter-uniform higher order finite difference scheme for singularly perturbed time-dependent parabolic problem with two small parameters. International Journal of Computer Mathematics. 96(3). 474–499. 48 indexed citations
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Kadalbajoo, Mohan K., et al.. (2011). Collocation method using artificial viscosity for solving stiff singularly perturbed turning point problem having twin boundary layers. Computers & Mathematics with Applications. 61(6). 1595–1607. 19 indexed citations
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Kadalbajoo, Mohan K. & Vikas Gupta. (2010). Hybrid finite difference methods for solving modified burgers and Burgers-Huxley equations. Neural, Parallel & Scientific Computations archive. 18(3). 409–422. 3 indexed citations
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Gupta, Vikas & Mohan K. Kadalbajoo. (2010). Numerical approximation of modified burgers' equation via hybrid finite difference scheme on layer-adaptive mesh. Neural, Parallel & Scientific Computations archive. 18(2). 167–194. 3 indexed citations
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Kadalbajoo, Mohan K. & Vikas Gupta. (2009). Numerical solution of singularly perturbed convection–diffusion problem using parameter uniform B-spline collocation method. Journal of Mathematical Analysis and Applications. 355(1). 439–452. 31 indexed citations
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Kadalbajoo, Mohan K., Vikas Gupta, & Ashish Awasthi. (2007). A uniformly convergent B-spline collocation method on a nonuniform mesh for singularly perturbed one-dimensional time-dependent linear convection–diffusion problem. Journal of Computational and Applied Mathematics. 220(1-2). 271–289. 50 indexed citations
20.
Gupta, Vikas & Ulrich Abel. (2004). The rate of convergence by a new type of Meyer-König and Zeller operators. Fasciculi Mathematici. 15–23. 1 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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