William D. Kalies

976 total citations
31 papers, 632 citations indexed

About

William D. Kalies is a scholar working on Computational Theory and Mathematics, Statistical and Nonlinear Physics and Mathematical Physics. According to data from OpenAlex, William D. Kalies has authored 31 papers receiving a total of 632 indexed citations (citations by other indexed papers that have themselves been cited), including 16 papers in Computational Theory and Mathematics, 14 papers in Statistical and Nonlinear Physics and 9 papers in Mathematical Physics. Recurrent topics in William D. Kalies's work include Quantum chaos and dynamical systems (13 papers), Topological and Geometric Data Analysis (10 papers) and Mathematical Dynamics and Fractals (9 papers). William D. Kalies is often cited by papers focused on Quantum chaos and dynamical systems (13 papers), Topological and Geometric Data Analysis (10 papers) and Mathematical Dynamics and Fractals (9 papers). William D. Kalies collaborates with scholars based in United States, Netherlands and Poland. William D. Kalies's co-authors include Robert Vandervorst, Konstantin Mischaikow, Jarosław Kwapisz, Marcio Gameiro, Peter W. Voorhees, J. R. Wilson, Scott A. Barnett, Sarah Day, Paweł Pilarczyk and Hiroshi Kokubu and has published in prestigious journals such as IEEE Transactions on Image Processing, Communications in Mathematical Physics and SIAM Journal on Numerical Analysis.

In The Last Decade

William D. Kalies

28 papers receiving 556 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
William D. Kalies United States 15 198 168 167 91 82 31 632
Marcio Gameiro United States 16 239 1.2× 102 0.6× 138 0.8× 255 2.8× 36 0.4× 40 728
Y. S. Choi United States 20 365 1.8× 166 1.0× 82 0.5× 19 0.2× 149 1.8× 57 1.1k
Jianhua Huang China 18 195 1.0× 221 1.3× 210 1.3× 82 0.9× 284 3.5× 148 1.3k
Evelyn Sander United States 15 52 0.3× 116 0.7× 257 1.5× 83 0.9× 15 0.2× 44 452
Nathaniel Chafee United States 8 157 0.8× 73 0.4× 103 0.6× 30 0.3× 189 2.3× 12 481
S.-N. Chow United States 11 127 0.6× 81 0.5× 276 1.7× 35 0.4× 224 2.7× 18 638
Andreas Unterreiter Germany 13 224 1.1× 206 1.2× 183 1.1× 22 0.2× 49 0.6× 32 881
Stefano Maset Italy 18 174 0.9× 32 0.2× 143 0.9× 33 0.4× 249 3.0× 52 1.1k
Ivan Kupka France 17 87 0.4× 185 1.1× 176 1.1× 12 0.1× 607 7.4× 48 1.2k

Countries citing papers authored by William D. Kalies

Since Specialization
Citations

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

Fields of papers citing papers by William D. Kalies

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by William D. Kalies. 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 William D. Kalies. The network helps show where William D. Kalies may publish in the future.

Co-authorship network of co-authors of William D. Kalies

This figure shows the co-authorship network connecting the top 25 collaborators of William D. Kalies. A scholar is included among the top collaborators of William D. Kalies 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 William D. Kalies. William D. Kalies 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.
Kalies, William D. & Robert Vandervorst. (2025). Priestley Duality and Representations of Global Dynamics. Qualitative Theory of Dynamical Systems. 24(4).
2.
Batko, Bogdan, et al.. (2024). Identifying Nonlinear Dynamics with High Confidence from Sparse Data. SIAM Journal on Applied Dynamical Systems. 23(1). 383–409.
3.
Kalies, William D., et al.. (2023). Continuation sheaves in dynamics: Sheaf cohomology and bifurcation. Journal of Differential Equations. 367. 124–198.
4.
Zhang, Mengsen, William D. Kalies, J. A. Scott Kelso, & Emmanuelle Tognoli. (2020). Topological portraits of multiscale coordination dynamics. Journal of Neuroscience Methods. 339. 108672–108672. 16 indexed citations
5.
Kalies, William D., et al.. (2018). Analytic Continuation of Local (Un)Stable Manifolds with Rigorous Computer Assisted Error Bounds. SIAM Journal on Applied Dynamical Systems. 17(1). 157–202. 10 indexed citations
6.
Kalies, William D., et al.. (2017). On the dynamics of second-order Lagrangian systems. Electronic Journal of Differential Equations. 2017(101). 1–20. 12 indexed citations
7.
Kalies, William D., Konstantin Mischaikow, & Robert Vandervorst. (2015). Lattice Structures for Attractors II. Foundations of Computational Mathematics. 16(5). 1151–1191. 18 indexed citations
8.
Day, Sarah & William D. Kalies. (2013). Rigorous Computation of the Global Dynamics of Integrodifference Equations with Smooth Nonlinearities. SIAM Journal on Numerical Analysis. 51(6). 2957–2983. 17 indexed citations
9.
Day, Sarah, William D. Kalies, & Thomas Wanner. (2009). Verified Homology Computations for Nodal Domains. Multiscale Modeling and Simulation. 7(4). 1695–1726. 10 indexed citations
10.
Wilson, J. R., Marcio Gameiro, Konstantin Mischaikow, et al.. (2009). Three-Dimensional Analysis of Solid Oxide Fuel Cell Ni-YSZ Anode Interconnectivity. Microscopy and Microanalysis. 15(1). 71–77. 89 indexed citations
11.
Boczko, Erik M., William D. Kalies, & Konstantin Mischaikow. (2007). Polygonal approximation of flows. Topology and its Applications. 154(13). 2501–2520. 15 indexed citations
12.
Kalies, William D., et al.. (2007). Closed characteristics on singular energy levels of second-order Lagrangian systems. Journal of Differential Equations. 244(3). 555–581. 1 indexed citations
13.
Niethammer, Marc, William D. Kalies, Konstantin Mischaikow, & Allen Tannenbaum. (2006). On the detection of simple points in higher dimensions using cubical homology. IEEE Transactions on Image Processing. 15(8). 2462–2469. 9 indexed citations
14.
Kalies, William D., et al.. (2006). A Computational Approach to Conley’s Decomposition Theorem. Journal of Computational and Nonlinear Dynamics. 1(4). 312–319. 40 indexed citations
15.
Gameiro, Marcio, Tomáš Gedeon, William D. Kalies, et al.. (2006). Topological Horseshoes of Traveling Waves for a Fast–Slow Predator–Prey System. Journal of Dynamics and Differential Equations. 19(3). 623–654. 7 indexed citations
16.
Kalies, William D., Konstantin Mischaikow, & Robert Vandervorst. (2005). An Algorithmic Approach to Chain Recurrence. Foundations of Computational Mathematics. 5(4). 409–449. 63 indexed citations
17.
Gameiro, Marcio, Konstantin Mischaikow, & William D. Kalies. (2004). Topological characterization of spatial-temporal chaos. Physical Review E. 70(3). 35203–35203. 26 indexed citations
18.
Kalies, William D. & Robert Vandervorst. (2004). Closed characteristics of second-order Lagrangians. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 134(1). 143–158. 6 indexed citations
19.
Kalies, William D., Jarosław Kwapisz, & Robert Vandervorst. (1998). Homotopy Classes for Stable Connections between Hamiltonian Saddle-Focus Equilibria. Communications in Mathematical Physics. 193(2). 337–371. 66 indexed citations
20.
Kalies, William D. & Robert Vandervorst. (1996). Multitransition Homoclinic and Heteroclinic Solutions of the Extended Fisher–Kolmogorov Equation. Journal of Differential Equations. 131(2). 209–228. 56 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.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by Marcio Gameiro Breakdown of academic impact, for papers by Y. S. Choi Breakdown of academic impact, for papers by Jianhua Huang Breakdown of academic impact, for papers by Evelyn Sander Breakdown of academic impact, for papers by Nathaniel Chafee Breakdown of academic impact, for papers by S.-N. Chow Breakdown of academic impact, for papers by Andreas Unterreiter Breakdown of academic impact, for papers by Stefano Maset Breakdown of academic impact, for papers by Ivan Kupka
Rankless by CCL
2026