V. Shanthi

735 total citations · 1 hit paper
46 papers, 556 citations indexed

About

V. Shanthi is a scholar working on Numerical Analysis, Computational Theory and Mathematics and Mechanical Engineering. According to data from OpenAlex, V. Shanthi has authored 46 papers receiving a total of 556 indexed citations (citations by other indexed papers that have themselves been cited), including 44 papers in Numerical Analysis, 24 papers in Computational Theory and Mathematics and 14 papers in Mechanical Engineering. Recurrent topics in V. Shanthi's work include Differential Equations and Numerical Methods (44 papers), Advanced Mathematical Modeling in Engineering (24 papers) and Material Science and Thermodynamics (13 papers). V. Shanthi is often cited by papers focused on Differential Equations and Numerical Methods (44 papers), Advanced Mathematical Modeling in Engineering (24 papers) and Material Science and Thermodynamics (13 papers). V. Shanthi collaborates with scholars based in India, Spain and China. V. Shanthi's co-authors include N. Ramanujam, M. Chandru, Pratibhamoy Das, Higinio Ramos, Srinivasan Natesan, C. Clavero, J. Vigo‐Aguiar and Devendra Kumar and has published in prestigious journals such as SHILAP Revista de lepidopterología, Applied Mathematics and Computation and Computers & Mathematics with Applications.

In The Last Decade

V. Shanthi

40 papers receiving 526 citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

A higher order hybrid-numerical approximation for a class of singularly perturbed two-dimensional convection-diffusion elliptic problem with non-smooth convection and source terms

2023 60 citations V. Shanthi, Pratibhamoy Das et al. Computers & Mathematics with Applications profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
V. Shanthi India	14	506	236	133	132	124	46	556
P. Pramod Chakravarthy India	14	426 0.8×	159 0.7×	55 0.4×	77 0.6×	80 0.6×	44	453
S. Chandra Sekhara Rao India	13	326 0.6×	159 0.7×	95 0.7×	47 0.4×	78 0.6×	40	370
Gabil M. Amiraliyev Türkiye	20	854 1.7×	315 1.3×	60 0.5×	217 1.6×	385 3.1×	59	889
Vikas Gupta India	13	516 1.0×	183 0.8×	105 0.8×	88 0.7×	133 1.1×	35	565
C. Clavero Spain	17	876 1.7×	505 2.1×	270 2.0×	154 1.2×	151 1.2×	59	908
J.C. Jorge Spain	11	473 0.9×	216 0.9×	187 1.4×	56 0.4×	59 0.5×	38	501
Y. N. Reddy India	16	588 1.2×	113 0.5×	68 0.5×	132 1.0×	113 0.9×	57	631
Li‐Bin Liu China	12	281 0.6×	70 0.3×	102 0.8×	59 0.4×	74 0.6×	51	382
N. Ramanujam India	20	871 1.7×	349 1.5×	119 0.9×	251 1.9×	213 1.7×	61	892
Alan F. Hegarty Ireland	9	982 1.9×	522 2.2×	326 2.5×	255 1.9×	240 1.9×	26	1.0k

Countries citing papers authored by V. Shanthi

Since Specialization

Citations

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

Fields of papers citing papers by V. Shanthi

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of V. Shanthi

This figure shows the co-authorship network connecting the top 25 collaborators of V. Shanthi. A scholar is included among the top collaborators of V. Shanthi 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 V. Shanthi. V. Shanthi is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Chandru, M., et al.. (2024). An almost second order uniformly convergent method for a two-parameter singularly perturbed problem with a discontinuous convection coefficient and source term. AIMS Mathematics. 9(9). 24998–25027.

Shanthi, V., et al.. (2024). Numerical Analysis for a weakly coupled system of Singularly Perturbed Quasilinear Problem with non-smooth data. Journal of Computational Science. 85. 102475–102475.

Shanthi, V., et al.. (2023). A numerical method for a system of singularly perturbed Fredholm integro-differential reaction–diffusion equation. Journal of Computational and Applied Mathematics. 437. 115457–115457. 1 indexed citations

Clavero, C., et al.. (2023). A numerical approach for a two-parameter singularly perturbed weakly-coupled system of 2-D elliptic convection–reaction–diffusion PDEs. Journal of Computational and Applied Mathematics. 436. 115422–115422. 7 indexed citations

Shanthi, V., et al.. (2023). A higher order hybrid-numerical approximation for a class of singularly perturbed two-dimensional convection-diffusion elliptic problem with non-smooth convection and source terms. Computers & Mathematics with Applications. 142. 9–30. 60 indexed citations breakdown →

Kumar, Devendra, et al.. (2023). Uniformly convergent scheme for fourth-order singularly perturbed convection-diffusion ODE. Applied Numerical Mathematics. 186. 334–357. 7 indexed citations

Shanthi, V., et al.. (2022). A fitted numerical method for a singularly perturbed Fredholm integro-differential equation with discontinuous source term. Applied Numerical Mathematics. 185. 88–100. 7 indexed citations

Shanthi, V., et al.. (2022). A computational method for a two-parameter singularly perturbed elliptic problem with boundary and interior layers. Mathematics and Computers in Simulation. 206. 40–64. 12 indexed citations

Shanthi, V., et al.. (2020). A robust second order numerical method for a weakly coupled system of singularly perturbed reaction-diffusion problem with discontinuous source term. International Journal of Computing Science and Mathematics. 11(1). 63–63. 1 indexed citations

10.

Shanthi, V., et al.. (2019). A Mathematical Study on MHD Boundary Layer Flow of Nanofluid and Heat Transfer Over a Porous Exponentially Stretching Sheet. SSRN Electronic Journal.

11.

Chandru, M., et al.. (2017). Hybrid difference scheme for singularly perturbed reaction-convection-diffusion problem with boundary and interior layers. Applied Mathematics and Computation. 314. 237–256. 15 indexed citations

12.

Shanthi, V., et al.. (2017). A parameter-uniform second order numerical method for a weakly coupled system of singularly perturbed convection–diffusion equations with discontinuous convection coefficients and source terms. CALCOLO. 54(3). 1027–1053. 7 indexed citations

13.

Shanthi, V., et al.. (2016). Fitted mesh method for a weakly coupled system of singularly perturbed reaction–convection–diffusion problems with discontinuous source term. Ain Shams Engineering Journal. 9(4). 1089–1101. 2 indexed citations

14.

Chandru, M., et al.. (2016). A parameter robust higher order numerical method for singularly perturbed two parameter problems with non-smooth data. Journal of Computational and Applied Mathematics. 309. 11–27. 26 indexed citations

15.

Shanthi, V., et al.. (2015). A parameter-uniform non-standard finite difference method for a weakly coupled system of singularly perturbed convection-diffusion equations with discontinuous source term. SHILAP Revista de lepidopterología. 1 indexed citations

16.

Shanthi, V., et al.. (2012). Application of Decision Tree Algorithm in E-waste Land Filling. 1(1). 40–48. 1 indexed citations

17.

Shanthi, V. & N. Ramanujam. (2008). An asymptotic numerical method for fourth order singular perturbation problems with a discontinuous source term. International Journal of Computer Mathematics. 85(7). 1147–1159. 5 indexed citations

18.

Ramanujam, N., et al.. (2006). A numerical method for singularly perturbed weakly coupled system of two second order ordinary differential equations with discontinuous source term. Journal of Computational and Applied Mathematics. 202(2). 203–216. 29 indexed citations

19.

Shanthi, V. & N. Ramanujam. (2004). A boundary value technique for boundary value problems for singularly perturbed fourth-order ordinary differential equations. Computers & Mathematics with Applications. 47(10-11). 1673–1688. 26 indexed citations

20.

Shanthi, V. & N. Ramanujam. (2003). Asymptotic numerical methods for singularly perturbed fourth-order ordinary differential equations of reaction-diffusion type. Computers & Mathematics with Applications. 46(2-3). 463–478. 19 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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