Amiya K. Pani

2.2k total citations
124 papers, 1.7k citations indexed

About

Amiya K. Pani is a scholar working on Computational Mechanics, Numerical Analysis and Mechanics of Materials. According to data from OpenAlex, Amiya K. Pani has authored 124 papers receiving a total of 1.7k indexed citations (citations by other indexed papers that have themselves been cited), including 88 papers in Computational Mechanics, 51 papers in Numerical Analysis and 44 papers in Mechanics of Materials. Recurrent topics in Amiya K. Pani's work include Advanced Numerical Methods in Computational Mathematics (82 papers), Numerical methods in engineering (42 papers) and Differential Equations and Numerical Methods (41 papers). Amiya K. Pani is often cited by papers focused on Advanced Numerical Methods in Computational Mathematics (82 papers), Numerical methods in engineering (42 papers) and Differential Equations and Numerical Methods (41 papers). Amiya K. Pani collaborates with scholars based in India, Thailand and United States. Amiya K. Pani's co-authors include Neela Nataraj, Thirupathi Gudi, Graeme Fairweather, Rajen Kumar Sinha, Ryan I. Fernandes, Vidar Thomée, Lars B. Wahlbin, Pratibhamoy Das, Surendar Manickam and Samir Karaa and has published in prestigious journals such as Computer Methods in Applied Mechanics and Engineering, Mathematics of Computation and Chemical Engineering Science.

In The Last Decade

Amiya K. Pani

120 papers receiving 1.6k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Amiya K. Pani India 23 1.0k 783 611 456 420 124 1.7k
Houde Han China 23 580 0.6× 529 0.7× 603 1.0× 180 0.4× 257 0.6× 78 1.3k
Danping Yang China 18 617 0.6× 482 0.6× 394 0.6× 297 0.7× 249 0.6× 88 1.0k
Bernard Bialecki United States 17 497 0.5× 513 0.7× 411 0.7× 242 0.5× 168 0.4× 77 933
Charalambos Makridakis Greece 17 891 0.9× 519 0.7× 234 0.4× 60 0.1× 364 0.9× 48 1.1k
Hong-lin Liao China 23 468 0.5× 1.8k 2.3× 459 0.8× 1.5k 3.3× 150 0.4× 55 2.2k
Norbert Heuer Chile 18 763 0.7× 367 0.5× 766 1.3× 323 0.7× 304 0.7× 88 1.3k
Akbar Mohebbi Iran 29 390 0.4× 1.5k 1.9× 931 1.5× 1.5k 3.2× 96 0.2× 61 2.3k
Davoud Mirzaei Iran 21 655 0.6× 481 0.6× 1.1k 1.8× 410 0.9× 89 0.2× 35 1.6k
Dongfang Li China 23 278 0.3× 1.6k 2.0× 428 0.7× 1.4k 3.1× 121 0.3× 64 2.0k
Mehdi Tatari Iran 20 242 0.2× 844 1.1× 599 1.0× 1.0k 2.2× 104 0.2× 47 1.5k

Countries citing papers authored by Amiya K. Pani

Since Specialization
Citations

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

Fields of papers citing papers by Amiya K. Pani

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Amiya K. Pani. 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 Amiya K. Pani. The network helps show where Amiya K. Pani may publish in the future.

Co-authorship network of co-authors of Amiya K. Pani

This figure shows the co-authorship network connecting the top 25 collaborators of Amiya K. Pani. A scholar is included among the top collaborators of Amiya K. Pani 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 Amiya K. Pani. Amiya K. Pani 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.
Pani, Amiya K., et al.. (2025). Conservative primal hybrid finite element method for weakly damped Klein-Gordon equation. Computers & Mathematics with Applications. 186. 16–36.
2.
Pani, Amiya K., et al.. (2024). Optimal error estimates of a non-uniform IMEX-L1 finite element method for time fractional PDEs and PIDEs. Applied Numerical Mathematics. 205. 137–168.
3.
Kumar, Krishan, et al.. (2023). Discontinuous Galerkin Methods with Generalized Numerical Fluxes for the Vlasov-Viscous Burgers’ System. Journal of Scientific Computing. 96(1). 1 indexed citations
4.
Pani, Amiya K., et al.. (2022). Finite Element Penalty Method for the Oldroyd Model of Order One with Non-smooth Initial Data. Computational Methods in Applied Mathematics. 22(2). 297–325. 1 indexed citations
5.
6.
Pani, Amiya K., et al.. (2018). Asymptotic Analysis and Optimal Error estimates for Benjamin‐Bona‐Mahony‐Burgers' Type Equations. Numerical Methods for Partial Differential Equations. 34(3). 1053–1092. 4 indexed citations
7.
Karaa, Samir, Kassem Mustapha, & Amiya K. Pani. (2017). Optimal Error Analysis of a FEM for Fractional Diffusion Problems by Energy Arguments. Journal of Scientific Computing. 74(1). 519–535. 19 indexed citations
8.
Karaa, Samir & Amiya K. Pani. (2017). A posteriori error estimates for mixed finite element Galerkin approximations to second order linear hyperbolic equations. DSpace (IIT Bombay). 14. 571–590. 2 indexed citations
9.
Pani, Amiya K., et al.. (2017). Superconvergence of a class of expanded discontinuous Galerkin methods for fully nonlinear elliptic problems in divergence form. Journal of Computational and Applied Mathematics. 333. 215–234. 5 indexed citations
10.
Pani, Amiya K., et al.. (2016). Optimal error estimates for semidiscrete Galerkin approximations to equations of motion described by Kelvin–Voigt viscoelastic fluid flow model. Journal of Computational and Applied Mathematics. 302. 234–257. 17 indexed citations
11.
Pani, Amiya K., et al.. (2015). Alternating Direction Implicit Galerkin Methods for an Evolution Equation with a Positive-Type Memory Term. Journal of Scientific Computing. 65(3). 1166–1188. 14 indexed citations
12.
Nataraj, Neela, et al.. (2014). ON FULLY DISCRETE FINITE ELEMENT SCHEMES FOR EQUATIONS OF MOTION OF KELVIN-VOIGT FLUIDS. DSpace (IIT Bombay). 9 indexed citations
13.
Karaa, Samir & Amiya K. Pani. (2014). Optimal error estimates of mixed FEMs for second order hyperbolic integro-differential equations with minimal smoothness on initial data. Journal of Computational and Applied Mathematics. 275. 113–134. 5 indexed citations
14.
Nataraj, Neela, et al.. (2012). Semidiscrete Galerkin method for equations of motion arising in Kelvin‐Voigt model of viscoelastic fluid flow. Numerical Methods for Partial Differential Equations. 29(3). 857–883. 19 indexed citations
15.
Pani, Amiya K., et al.. (2011). A PRIORI ERROR ESTIMATES FOR SEMIDISCRETE FINITE ELEMENT APPROXIMATIONS TO EQUATIONS OF MOTION ARISING IN OLDROYD FLUIDS OF ORDER ONE. Oxford University Research Archive (ORA) (University of Oxford). 8(2). 324–352. 23 indexed citations
16.
Kumar, Sarvesh, Neela Nataraj, & Amiya K. Pani. (2008). Finite volume element method for second order hyperbolic equations. DSpace (IIT Bombay). 5(1). 132–151. 24 indexed citations
17.
Nataraj, Neela, et al.. (2007). A qualocation method for Burgers’ equation. Journal of Computational and Applied Mathematics. 213(1). 1–13. 5 indexed citations
18.
Pani, Amiya K., et al.. (2004). Orthogonal cubic spline collocation method for the extended Fisher–Kolmogorov equation. Journal of Computational and Applied Mathematics. 174(1). 101–117. 66 indexed citations
19.
Moudgalya, Kannan M., et al.. (1998). Second-order splitting combined with orthogonal cubic spline collocation method for the Kuramoto-Sivashinsky equation. Computers & Mathematics with Applications. 35(6). 5–25. 37 indexed citations
20.
Chung, S.K. & Amiya K. Pani. (1995). On convergence of finite difference schemes fr generalized solutions of sobolev equations. Journal of the Korean Mathematical Society. 32(4). 815–834. 2 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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