Divakar Viswanath

1.0k total citations
27 papers, 623 citations indexed

About

Divakar Viswanath is a scholar working on Statistical and Nonlinear Physics, Computational Mechanics and Numerical Analysis. According to data from OpenAlex, Divakar Viswanath has authored 27 papers receiving a total of 623 indexed citations (citations by other indexed papers that have themselves been cited), including 10 papers in Statistical and Nonlinear Physics, 9 papers in Computational Mechanics and 7 papers in Numerical Analysis. Recurrent topics in Divakar Viswanath's work include Quantum chaos and dynamical systems (7 papers), Fluid Dynamics and Turbulent Flows (5 papers) and Numerical methods for differential equations (5 papers). Divakar Viswanath is often cited by papers focused on Quantum chaos and dynamical systems (7 papers), Fluid Dynamics and Turbulent Flows (5 papers) and Numerical methods for differential equations (5 papers). Divakar Viswanath collaborates with scholars based in United States and United Kingdom. Divakar Viswanath's co-authors include Lloyd N. Trefethen, Predrag Cvitanović, J. F. Gibson and Xuan Liang and has published in prestigious journals such as Journal of Fluid Mechanics, Journal of Computational Physics and Mathematics of Computation.

In The Last Decade

Divakar Viswanath

25 papers receiving 582 citations

Peers

Divakar Viswanath
Dirk Blömker Germany
James H. Curry United States
Tony Shardlow United Kingdom
Michael S. Jolly United States
Paul O. Frederickson United States
Я.Г. Синай
Jens Lorenz United States
James Baglama United States
Erico L. Rempel Brazil
Ricardo Rosa Brazil
Dirk Blömker Germany
Divakar Viswanath
Citations per year, relative to Divakar Viswanath Divakar Viswanath (= 1×) peers Dirk Blömker

Countries citing papers authored by Divakar Viswanath

Since Specialization
Citations

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

Fields of papers citing papers by Divakar Viswanath

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Divakar Viswanath

This figure shows the co-authorship network connecting the top 25 collaborators of Divakar Viswanath. A scholar is included among the top collaborators of Divakar Viswanath 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 Divakar Viswanath. Divakar Viswanath 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.
Viswanath, Divakar, et al.. (2018). Single and simultaneous binary mergers in Wright-Fisher genealogies. Theoretical Population Biology. 121. 60–71. 7 indexed citations
2.
Viswanath, Divakar, et al.. (2018). Delay embedding of periodic orbits using a fixed observation function. Physica D Nonlinear Phenomena. 388. 1–9. 1 indexed citations
3.
Viswanath, Divakar, et al.. (2018). The Wright–Fisher site frequency spectrum as a perturbation of the coalescent’s. Theoretical Population Biology. 124. 81–92. 3 indexed citations
4.
Viswanath, Divakar. (2015). Spectral integration of linear boundary value problems. Journal of Computational and Applied Mathematics. 290. 159–173. 18 indexed citations
5.
Viswanath, Divakar, et al.. (2013). Barycentric Hermite Interpolation. SIAM Journal on Scientific Computing. 35(3). A1254–A1270. 9 indexed citations
6.
Viswanath, Divakar, et al.. (2013). Navier–Stokes solver using Green’s functions I: Channel flow and plane Couette flow. Journal of Computational Physics. 251. 414–431. 4 indexed citations
7.
Viswanath, Divakar, et al.. (2013). Metric Entropy and the Optimal Prediction of Chaotic Signals. SIAM Journal on Applied Dynamical Systems. 12(2). 1085–1113. 1 indexed citations
8.
Viswanath, Divakar, et al.. (2011). Finite Difference Weights Using The Modified Lagrange Interpolant. arXiv (Cornell University). 1 indexed citations
9.
Viswanath, Divakar. (2008). Stable Manifolds and the Transition to Turbulence in Pipe Flow. 27 indexed citations
10.
Viswanath, Divakar, et al.. (2007). Normal Approximations for Descents and Inversions of Permutations of Multisets. Journal of Theoretical Probability. 20(2). 309–325. 9 indexed citations
11.
Viswanath, Divakar. (2005). Linear Stability Analysis of Resonant Periodic Motions in the Restricted Three-Body Problem. Journal of Dynamics and Differential Equations. 17(2). 271–292.
12.
Viswanath, Divakar. (2003). The fractal property of the Lorenz attractor. Physica D Nonlinear Phenomena. 190(1-2). 115–128. 65 indexed citations
13.
Viswanath, Divakar. (2003). Symbolic dynamics and periodic orbits of the Lorenz attractor*. Nonlinearity. 16(3). 1035–1056. 54 indexed citations
14.
Viswanath, Divakar. (2002). How Many Timesteps for a Cycle? Analysis of the Wisdom-Holman Algorithm. BIT Numerical Mathematics. 42(1). 194–205. 2 indexed citations
15.
Viswanath, Divakar. (2001). The Lindstedt--Poincaré Technique as an Algorithm for Computing Periodic Orbits. SIAM Review. 43(3). 478–495. 46 indexed citations
16.
Viswanath, Divakar. (2001). Global errors of numerical ODE solvers and Lyapunov's theory of stability. IMA Journal of Numerical Analysis. 21(1). 387–406. 12 indexed citations
17.
Viswanath, Divakar. (1999). Random Fibonacci sequences and the number $1.13198824\dots$. Mathematics of Computation. 69(231). 1131–1156. 54 indexed citations
18.
Viswanath, Divakar & Lloyd N. Trefethen. (1998). Lyapunov Exponents from Random Fibonacci Sequences to the Lorenz Equations. eCommons (Cornell University). 21 indexed citations
19.
Viswanath, Divakar & Lloyd N. Trefethen. (1998). Condition Numbers of Random Triangular Matrices. SIAM Journal on Matrix Analysis and Applications. 19(2). 564–581. 35 indexed citations
20.
Viswanath, Divakar & Lloyd N. Trefethen. (1996). Matrix Behaviour, Unitary Reducibility, and Hadamard Products. eCommons (Cornell University). 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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