P. Viswanathan

828 total citations
47 papers, 583 citations indexed

About

P. Viswanathan is a scholar working on Mathematical Physics, Statistical and Nonlinear Physics and Computational Mechanics. According to data from OpenAlex, P. Viswanathan has authored 47 papers receiving a total of 583 indexed citations (citations by other indexed papers that have themselves been cited), including 44 papers in Mathematical Physics, 18 papers in Statistical and Nonlinear Physics and 18 papers in Computational Mechanics. Recurrent topics in P. Viswanathan's work include Mathematical Dynamics and Fractals (43 papers), Advanced Numerical Analysis Techniques (18 papers) and Advanced Mathematical Theories and Applications (17 papers). P. Viswanathan is often cited by papers focused on Mathematical Dynamics and Fractals (43 papers), Advanced Numerical Analysis Techniques (18 papers) and Advanced Mathematical Theories and Applications (17 papers). P. Viswanathan collaborates with scholars based in India, Spain and Australia. P. Viswanathan's co-authors include A. K. B. Chand, Saurabh Verma, M. A. Navascués, Ravi P. Agarwal, Michael F. Barnsley, María Victoria Sebastián, Andrew Vince, R. N. Mohapatra and Nicolae Adrian Secelean and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Chaos Solitons & Fractals and Applied Mathematics and Computation.

In The Last Decade

P. Viswanathan

42 papers receiving 568 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
P. Viswanathan India	15	528	283	169	73	54	47	583
Leoni Dalla Greece	12	382 0.7×	192 0.7×	139 0.8×	52 0.7×	84 1.6×	19	466
Vasileios Drakopoulos Greece	11	266 0.5×	138 0.5×	74 0.4×	34 0.5×	74 1.4×	37	361
Bernd O. Stratmann Germany	12	289 0.5×	116 0.4×	16 0.1×	26 0.4×	20 0.4×	38	361
S. P. Zhou China	9	139 0.3×	99 0.3×	15 0.1×	11 0.2×	5 0.1×	49	320
Marco Romito Italy	13	113 0.2×	23 0.1×	182 1.1×	11 0.2×	10 0.2×	41	437
Hans Wallin Sweden	11	292 0.6×	23 0.1×	47 0.3×	19 0.3×	9 0.2×	44	731
Maria José Pacífico Brazil	18	711 1.3×	624 2.2×	13 0.1×	21 0.3×	3 0.1×	57	821
Bertrand Lods Italy	10	162 0.3×	50 0.2×	40 0.2×	12 0.2×	4 0.1×	45	300
Animikh Biswas United States	13	168 0.3×	40 0.1×	103 0.6×	3 0.0×	7 0.1×	26	373
Elisabetta Carlini Italy	10	31 0.1×	36 0.1×	122 0.7×	2 0.0×	13 0.2×	26	329

Countries citing papers authored by P. Viswanathan

Since Specialization

Citations

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

Fields of papers citing papers by P. Viswanathan

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of P. Viswanathan

This figure shows the co-authorship network connecting the top 25 collaborators of P. Viswanathan. A scholar is included among the top collaborators of P. Viswanathan 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 P. Viswanathan. P. Viswanathan 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

Viswanathan, P.. (2024). An approximation theoretic revamping of fractal interpolation surfaces on triangular domains. Fractional Calculus and Applied Analysis. 27(5). 2419–2455.

Secelean, Nicolae Adrian, et al.. (2024). On bivariate fractal interpolation for countable data and associated nonlinear fractal operator. Demonstratio Mathematica. 57(1).

Viswanathan, P., et al.. (2023). Some elementary properties of Bernstein–Kantorovich operators on mixed norm Lebesgue spaces and their implications in fractal approximation. Nonlinear Analysis. 239. 113416–113416.

Barnsley, Michael F. & P. Viswanathan. (2023). Histopolating fractal functions. Journal of Computational and Applied Mathematics. 425. 115073–115073. 4 indexed citations

Viswanathan, P., et al.. (2023). The Hutchinson–Barnsley theory for iterated function system with bounded cyclic contractions. Chaos Solitons & Fractals. 174. 113796–113796. 2 indexed citations

Viswanathan, P.. (2022). A revisit to smoothness preserving fractal perturbation of a bivariate function: Self-Referential counterpart to bicubic splines. Chaos Solitons & Fractals. 157. 111885–111885. 2 indexed citations

Viswanathan, P.. (2021). A Fractal Version of a Bivariate Hermite Polynomial Interpolation. Mediterranean Journal of Mathematics. 18(5). 1 indexed citations

Navascués, M. A., Saurabh Verma, & P. Viswanathan. (2021). Concerning the Vector-Valued Fractal Interpolation Functions on the Sierpiński Gasket. Mediterranean Journal of Mathematics. 18(5). 11 indexed citations

Verma, Saurabh & P. Viswanathan. (2020). A Fractalization of Rational Trigonometric Functions. Mediterranean Journal of Mathematics. 17(3). 11 indexed citations

10.

Verma, Saurabh & P. Viswanathan. (2019). A REVISIT TO α-FRACTAL FUNCTION AND BOX DIMENSION OF ITS GRAPH. Fractals. 27(6). 1950090–1950090. 14 indexed citations

11.

Verma, Saurabh & P. Viswanathan. (2018). A note on Katugampola fractional calculus and fractal dimensions. Applied Mathematics and Computation. 339. 220–230. 23 indexed citations

12.

Viswanathan, P. & M. A. Navascués. (2017). A Fractal Operator on Some Standard Spaces of Functions. Proceedings of the Edinburgh Mathematical Society. 60(3). 771–786. 17 indexed citations

13.

Barnsley, Michael F., et al.. (2016). Approximation of rough functions. Journal of Approximation Theory. 209. 23–43. 6 indexed citations

14.

Chand, A. K. B., et al.. (2015). Approximation using hidden variable fractal interpolation function. 2(1). 81–114. 11 indexed citations

15.

Viswanathan, P., M. A. Navascués, & A. K. B. Chand. (2015). Associate fractal functions inLp-spaces and in one-sided uniform approximation. Journal of Mathematical Analysis and Applications. 433(2). 862–876. 26 indexed citations

16.

Viswanathan, P., A. K. B. Chand, & M. A. Navascués. (2014). Fractal perturbation preserving fundamental shapes: Bounds on the scale factors. Journal of Mathematical Analysis and Applications. 419(2). 804–817. 58 indexed citations

17.

Viswanathan, P. & A. K. B. Chand. (2014). Fractal rational functions and their approximation properties. Journal of Approximation Theory. 185. 31–50. 39 indexed citations

18.

Viswanathan, P. & A. K. B. Chand. (2014). A fractal procedure for monotonicity preserving interpolation. Applied Mathematics and Computation. 247. 190–204. 18 indexed citations

19.

Viswanathan, P., A. K. B. Chand, & Ravi P. Agarwal. (2013). Preserving convexity through rational cubic spline fractal interpolation function. Journal of Computational and Applied Mathematics. 263. 262–276. 20 indexed citations

20.

Chand, A. K. B. & P. Viswanathan. (2012). Cubic hermite and cubic spline fractal interpolation functions. AIP conference proceedings. 1467–1470. 15 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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