Robert A. Van Gorder

4.5k total citations
253 papers, 3.6k citations indexed

About

Robert A. Van Gorder is a scholar working on Statistical and Nonlinear Physics, Atomic and Molecular Physics, and Optics and Modeling and Simulation. According to data from OpenAlex, Robert A. Van Gorder has authored 253 papers receiving a total of 3.6k indexed citations (citations by other indexed papers that have themselves been cited), including 81 papers in Statistical and Nonlinear Physics, 59 papers in Atomic and Molecular Physics, and Optics and 58 papers in Modeling and Simulation. Recurrent topics in Robert A. Van Gorder's work include Fractional Differential Equations Solutions (54 papers), Nonlinear Waves and Solitons (43 papers) and Nonlinear Dynamics and Pattern Formation (42 papers). Robert A. Van Gorder is often cited by papers focused on Fractional Differential Equations Solutions (54 papers), Nonlinear Waves and Solitons (43 papers) and Nonlinear Dynamics and Pattern Formation (42 papers). Robert A. Van Gorder collaborates with scholars based in United States, United Kingdom and New Zealand. Robert A. Van Gorder's co-authors include K. Vajravelu, Andrew L. Krause, A. H. Bhrawy, K. Vajravelu, K. V. Prasad, Ioan Pop, Colin P. Please, S. Roy Choudhury, E. H. Doha and Jinho Lee and has published in prestigious journals such as Journal of Fluid Mechanics, Journal of Computational Physics and Monthly Notices of the Royal Astronomical Society.

In The Last Decade

Robert A. Van Gorder

249 papers receiving 3.4k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Robert A. Van Gorder United States 30 1.1k 1.1k 913 826 802 253 3.6k
Chaudry Masood Khalique South Africa 40 2.0k 1.8× 1.1k 1.0× 3.8k 4.2× 818 1.0× 868 1.1× 299 5.7k
A. H. Nayfeh United States 17 411 0.4× 627 0.6× 790 0.9× 490 0.6× 996 1.2× 42 4.4k
Mauro Fabrizio Italy 26 2.7k 2.3× 892 0.8× 665 0.7× 234 0.3× 257 0.3× 122 5.0k
Shao-Wen Yao China 25 1.2k 1.0× 317 0.3× 1.2k 1.3× 246 0.3× 184 0.2× 149 2.4k
Paul C. Fife United States 42 888 0.8× 292 0.3× 853 0.9× 555 0.7× 1.2k 1.5× 114 7.2k
Ahmet Yıldırım Türkiye 50 5.5k 4.9× 1.4k 1.3× 2.9k 3.2× 547 0.7× 592 0.7× 299 7.5k
Alexander Mielke Germany 44 226 0.2× 1.3k 1.2× 1.1k 1.2× 298 0.4× 659 0.8× 195 5.7k
J.I. Ramos Spain 24 769 0.7× 341 0.3× 592 0.6× 271 0.3× 1.1k 1.4× 253 3.0k
Randolph Rach United States 36 2.7k 2.3× 411 0.4× 1.1k 1.2× 231 0.3× 261 0.3× 138 4.0k
Khaled A. Gepreel Saudi Arabia 29 1.6k 1.4× 326 0.3× 2.1k 2.3× 214 0.3× 183 0.2× 168 3.1k

Countries citing papers authored by Robert A. Van Gorder

Since Specialization
Citations

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

Fields of papers citing papers by Robert A. Van Gorder

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Robert A. Van Gorder. 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 Robert A. Van Gorder. The network helps show where Robert A. Van Gorder may publish in the future.

Co-authorship network of co-authors of Robert A. Van Gorder

This figure shows the co-authorship network connecting the top 25 collaborators of Robert A. Van Gorder. A scholar is included among the top collaborators of Robert A. Van Gorder 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 Robert A. Van Gorder. Robert A. Van Gorder 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
2.
Krause, Andrew L., et al.. (2020). A Non-local Cross-Diffusion Model of Population Dynamics I: Emergent Spatial and Spatiotemporal Patterns. Bulletin of Mathematical Biology. 82(8). 112–112. 18 indexed citations
3.
Gorder, Robert A. Van, Václav Klika, & Andrew L. Krause. (2019). Non-autonomous Turing conditions for reaction-diffusion systems on evolving domains. arXiv (Cornell University). 1 indexed citations
4.
Zhou, Zhi & Robert A. Van Gorder. (2019). Turing Instability and Colony Formation in Spatially Extended Rosenzweig–MacArthur Predator–Prey Models with Allochthonous Resources. Bulletin of Mathematical Biology. 81(12). 5009–5053. 2 indexed citations
5.
Krause, Andrew L., et al.. (2018). Influence of Curvature, Growth, and Anisotropy on the Evolution of Turing Patterns on Growing Manifolds. Bulletin of Mathematical Biology. 81(3). 759–799. 37 indexed citations
6.
Krause, Andrew L., et al.. (2018). Hybrid approach to modeling spatial dynamics of systems with generalist predators. Journal of Theoretical Biology. 462. 26–47. 8 indexed citations
7.
Mikkelsen, Øyvind, et al.. (2017). A heat and mass transfer study of carbon paste baking. International Communications in Heat and Mass Transfer. 88. 9–19. 6 indexed citations
8.
Abbasbandy, S., et al.. (2016). Reproducing kernel method for the numerical solution of the Brinkman–Forchheimer momentum equation. Journal of Computational and Applied Mathematics. 311. 262–271. 12 indexed citations
9.
Gorder, Robert A. Van, et al.. (2016). Localized nonlinear waves on quantized superfluid vortex filaments in the presence of mutual friction and a driving normal fluid flow. Physical review. E. 93(3). 32218–32218. 1 indexed citations
10.
Abbasbandy, S., et al.. (2015). The Lie-group Shooting Method for Radial SymmetricSolutions of the Yamabe Equation. Computer Modeling in Engineering & Sciences. 104(4). 329–351. 7 indexed citations
11.
Gorder, Robert A. Van. (2015). Quantum Hasimoto transformation and nonlinear waves on a superfluid vortex filament under the quantum local induction approximation. Oxford University Research Archive (ORA) (University of Oxford). 9 indexed citations
12.
Gorder, Robert A. Van. (2015). The variational iteration method is a special case of the homotopy analysis method. Applied Mathematics Letters. 45. 81–85. 22 indexed citations
13.
Bhrawy, A. H., E. H. Doha, M. A. Abdelkawy, & Robert A. Van Gorder. (2015). Jacobi–Gauss–Lobatto collocation method for solving nonlinear reaction–diffusion equations subject to Dirichlet boundary conditions. Applied Mathematical Modelling. 40(3). 1703–1716. 13 indexed citations
14.
Gorder, Robert A. Van. (2014). Computing semi-commuting differential operators in one and multiple variables. Mathematical communications. 19(2). 201–219.
15.
Gorder, Robert A. Van, et al.. (2014). Stationary solutions for the1+1nonlinear Schrödinger equation modeling attractive Bose-Einstein condensates in small potentials. Physical Review E. 89(1). 13204–13204. 11 indexed citations
16.
Nevai, Andrew L. & Robert A. Van Gorder. (2012). Effect of resource subsidies on predator–prey population dynamics: a mathematical model. Journal of Biological Dynamics. 6(2). 891–922. 20 indexed citations
17.
Gorder, Robert A. Van. (2012). Exact Stationary Solution Method for the Wadati-Konno-Ichikawa-Shimizu (WKIS) Equation. Progress of Theoretical Physics. 128(5). 993–999. 8 indexed citations
18.
Malomed, Boris A., D. J. Kaup, & Robert A. Van Gorder. (2012). Unstaggered-staggered solitons in two-component discrete nonlinear Schrödinger lattices. Physical Review E. 85(2). 26604–26604. 29 indexed citations
19.
Vajravelu, K. & Robert A. Van Gorder. (2012). Nonlinear Flow Phenomena and Homotopy Analysis. 32 indexed citations
20.
Gorder, Robert A. Van, et al.. (2010). Existence and uniqueness results for a nonlinear differential equation arising in viscous flow over a nonlinearly stretching sheet. Applied Mathematics Letters. 24(2). 238–242. 16 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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