P. N. Shivakumar

1.1k total citations
59 papers, 791 citations indexed

About

P. N. Shivakumar is a scholar working on Computational Theory and Mathematics, Applied Mathematics and Numerical Analysis. According to data from OpenAlex, P. N. Shivakumar has authored 59 papers receiving a total of 791 indexed citations (citations by other indexed papers that have themselves been cited), including 23 papers in Computational Theory and Mathematics, 18 papers in Applied Mathematics and 13 papers in Numerical Analysis. Recurrent topics in P. N. Shivakumar's work include Matrix Theory and Algorithms (19 papers), Numerical methods for differential equations (7 papers) and Spectral Theory in Mathematical Physics (5 papers). P. N. Shivakumar is often cited by papers focused on Matrix Theory and Algorithms (19 papers), Numerical methods for differential equations (7 papers) and Spectral Theory in Mathematical Physics (5 papers). P. N. Shivakumar collaborates with scholars based in Canada, India and United States. P. N. Shivakumar's co-authors include M. M. Chawla, Anestis S. Veletsos, Beni M. Sahai, Abba B. Gumel, R. Wong, N. Rudraiah, K. C. ‎Sivakumar, Corneliu A. Marinov, Qiang Ye and А. Г. Рамм and has published in prestigious journals such as Journal of Biomechanics, Mathematics of Computation and Earthquake Engineering & Structural Dynamics.

In The Last Decade

P. N. Shivakumar

54 papers receiving 727 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
P. N. Shivakumar Canada 17 236 165 153 130 92 59 791
Xiao-Biao Lin United States 16 210 0.9× 177 1.1× 204 1.3× 79 0.6× 35 0.4× 47 1.1k
Hou‐Biao Li China 14 259 1.1× 215 1.3× 67 0.4× 78 0.6× 162 1.8× 65 603
Robert M. M. Mattheij Netherlands 7 186 0.8× 488 3.0× 161 1.1× 273 2.1× 149 1.6× 17 1.1k
Malaysian Mathematical Iran 16 323 1.4× 155 0.9× 245 1.6× 80 0.6× 123 1.3× 98 999
G. W. Reddien United States 15 271 1.1× 471 2.9× 76 0.5× 309 2.4× 93 1.0× 37 866
René Pinnau Germany 17 124 0.5× 181 1.1× 249 1.6× 424 3.3× 63 0.7× 77 861
Shaoqiang Tang China 21 150 0.6× 202 1.2× 163 1.1× 346 2.7× 185 2.0× 103 1.4k
Syed Muslim Shah Pakistan 15 83 0.4× 110 0.7× 115 0.8× 266 2.0× 204 2.2× 26 1.0k
Leonard D. Berkovitz United States 17 381 1.6× 189 1.1× 203 1.3× 78 0.6× 35 0.4× 47 1.1k
Eugene M. Cliff United States 24 159 0.7× 158 1.0× 125 0.8× 391 3.0× 39 0.4× 162 1.5k

Countries citing papers authored by P. N. Shivakumar

Since Specialization
Citations

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

Fields of papers citing papers by P. N. Shivakumar

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of P. N. Shivakumar

This figure shows the co-authorship network connecting the top 25 collaborators of P. N. Shivakumar. A scholar is included among the top collaborators of P. N. Shivakumar 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. N. Shivakumar. P. N. Shivakumar 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.
Shivakumar, P. N. & Yan Wu. (2010). Shape of a drum, a constructive approach. International Conference on Systems. 10(1). 21–31.
2.
Shivakumar, P. N. & K. C. ‎Sivakumar. (2008). A review of infinite matrices and their applications. Linear Algebra and its Applications. 430(4). 976–998. 22 indexed citations
3.
Leung, Issic K. C. & P. N. Shivakumar. (2007). On the eigenvalue problem −y″+f(x)y=λy on a semi infinite interval. Mathematical and Computer Modelling. 46(3-4). 316–330. 1 indexed citations
4.
Gumel, Abba B., et al.. (2001). Numerical modelling of the perturbation of HIV-1 during combination anti-retroviral therapy. Computers in Biology and Medicine. 31(5). 287–301. 8 indexed citations
5.
Shivakumar, P. N., et al.. (2000). Operator Theory and Its Applications. American Mathematical Society eBooks. 15 indexed citations
6.
Shivakumar, P. N., et al.. (1999). On the double points of a Mathieu equation. Journal of Computational and Applied Mathematics. 107(1). 111–125. 8 indexed citations
7.
Kocabiyik, Serpil, et al.. (1998). Flow past and through a porous medium in a doubly connected region. Applied Mathematics Letters. 11(2). 49–54. 1 indexed citations
8.
Shivakumar, P. N., et al.. (1998). On the nonsingularity of matrices with certain sign patterns. Linear Algebra and its Applications. 273(1-3). 29–43. 1 indexed citations
9.
Shivakumar, P. N., et al.. (1996). Recent Developments in Operator Theory and Its Applications. Birkhäuser Basel eBooks. 17 indexed citations
10.
Chawla, M. M. & P. N. Shivakumar. (1996). An efficient finite difference method for two-point boundary value problems. Neural, Parallel & Scientific Computations archive. 4(3). 387–396. 40 indexed citations
11.
Shivakumar, P. N., et al.. (1996). Upper and lower bounds for inverse elements of finite and infinite tridiagonal matrices. Linear Algebra and its Applications. 247. 297–316. 16 indexed citations
12.
Chawla, M. M. & P. N. Shivakumar. (1993). A symmetric finite difference method for computing eigenvalues of Sturm-Liouville problems. Computers & Mathematics with Applications. 26(2). 67–77. 1 indexed citations
13.
Shivakumar, P. N., Chi-Sing Man, & Simon W. Rabkin. (1989). Modelling of the heart and pericardium at end-diastole. Journal of Biomechanics. 22(3). 201–209. 5 indexed citations
14.
Shivakumar, P. N., et al.. (1988). An iterative method with truncation for infinite linear systems. Journal of Computational and Applied Mathematics. 24(1-2). 199–207. 3 indexed citations
15.
Shivakumar, P. N., et al.. (1987). Eigenvalues for infinite matrices. Linear Algebra and its Applications. 96. 35–63. 35 indexed citations
16.
Chawla, M. M. & P. N. Shivakumar. (1987). On the existence of solutions of a class of singular nonlinear two-point boundary value problems. Journal of Computational and Applied Mathematics. 19(3). 379–388. 33 indexed citations
17.
Chawla, M. M. & P. N. Shivakumar. (1986). A finite difference method for a class of two-point boundary value problems over a semi-infinite range. Journal of Computational and Applied Mathematics. 15(2). 251–256. 4 indexed citations
18.
Shivakumar, P. N., et al.. (1982). Asymptotic Expansion of the Lebesgue Constants Associated with Polynomial Interpolation. Mathematics of Computation. 39(159). 195–195. 3 indexed citations
19.
Shivakumar, P. N., et al.. (1974). A Sufficient Condition for Nonvanishing of Determinants. Proceedings of the American Mathematical Society. 43(1). 63–63. 19 indexed citations
20.
Shivakumar, P. N. & R. Wong. (1973). Linear equations in infinite matrices. Linear Algebra and its Applications. 7(1). 53–62. 13 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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