Arnd Scheel

3.4k total citations
114 papers, 2.2k citations indexed

About

Arnd Scheel is a scholar working on Computer Networks and Communications, Statistical and Nonlinear Physics and Computational Theory and Mathematics. According to data from OpenAlex, Arnd Scheel has authored 114 papers receiving a total of 2.2k indexed citations (citations by other indexed papers that have themselves been cited), including 74 papers in Computer Networks and Communications, 46 papers in Statistical and Nonlinear Physics and 24 papers in Computational Theory and Mathematics. Recurrent topics in Arnd Scheel's work include Nonlinear Dynamics and Pattern Formation (71 papers), Quantum chaos and dynamical systems (29 papers) and Advanced Mathematical Modeling in Engineering (23 papers). Arnd Scheel is often cited by papers focused on Nonlinear Dynamics and Pattern Formation (71 papers), Quantum chaos and dynamical systems (29 papers) and Advanced Mathematical Modeling in Engineering (23 papers). Arnd Scheel collaborates with scholars based in United States, Germany and France. Arnd Scheel's co-authors include Björn Sandstede, Mariana Hărăguş, Claudia Wulff, Jens D. M. Rademacher, Matt Holzer, Guido Schneider, Arjen Doelman, Grégory Faye, Bernold Fiedler and Kia Bazargan and has published in prestigious journals such as Physical Review Letters, Communications in Mathematical Physics and SIAM Journal on Numerical Analysis.

In The Last Decade

Arnd Scheel

107 papers receiving 1.9k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Arnd Scheel United States 27 1.3k 911 467 323 321 114 2.2k
Tasso J. Kaper United States 30 1.4k 1.0× 1.3k 1.4× 389 0.8× 143 0.4× 156 0.5× 79 2.7k
William C. Troy United States 29 1.1k 0.8× 1.1k 1.2× 303 0.6× 413 1.3× 408 1.3× 98 2.8k
Théodore Kolokolnikov Canada 26 815 0.6× 528 0.6× 558 1.2× 220 0.7× 265 0.8× 89 2.0k
Masayasu Mimura Japan 30 737 0.6× 280 0.3× 1.5k 3.3× 510 1.6× 297 0.9× 114 3.1k
S. P. Hastings United States 24 705 0.5× 835 0.9× 162 0.3× 314 1.0× 358 1.1× 91 1.9k
J. B. McLeod United States 23 505 0.4× 555 0.6× 705 1.5× 536 1.7× 417 1.3× 65 2.5k
Mamoru Mimura Japan 26 716 0.5× 276 0.3× 413 0.9× 198 0.6× 643 2.0× 196 2.4k
Bernold Fiedler Germany 27 1.0k 0.8× 938 1.0× 172 0.4× 373 1.2× 313 1.0× 95 2.2k
Neil Fenichel Canada 8 1.2k 0.9× 1.9k 2.1× 493 1.1× 131 0.4× 436 1.4× 11 3.1k
J. Lega United States 24 1.4k 1.1× 776 0.9× 137 0.3× 75 0.2× 84 0.3× 66 2.3k

Countries citing papers authored by Arnd Scheel

Since Specialization
Citations

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

Fields of papers citing papers by Arnd Scheel

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Arnd Scheel

This figure shows the co-authorship network connecting the top 25 collaborators of Arnd Scheel. A scholar is included among the top collaborators of Arnd Scheel 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 Arnd Scheel. Arnd Scheel 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.
Avery, Montie, et al.. (2025). Stability of coherent pattern formation through invasion in the FitzHugh–Nagumo system. Journal of the European Mathematical Society.
2.
Kaper, Tasso J., et al.. (2024). Pitchfork bifurcation along a slow parameter ramp: Coherent structures in the critical scaling. Studies in Applied Mathematics. 153(2).
3.
Avery, Montie, Matt Holzer, & Arnd Scheel. (2023). Pushed-to-Pulled Front Transitions: Continuation, Speed Scalings, and Hidden Monotonicty. Journal of Nonlinear Science. 33(6). 5 indexed citations
4.
Gallay, Thierry & Arnd Scheel. (2023). Viscous shocks and long-time behavior of scalar conservation laws. Communications on Pure & Applied Analysis. 23(10). 1448–1482.
5.
Scheel, Arnd, et al.. (2023). Coherent Structures in Nonlocal Systems: Functional Analytic Tools. Journal of Dynamics and Differential Equations. 37(1). 919–960. 1 indexed citations
6.
Scheel, Arnd & Angela Stevens. (2017). Wavenumber selection in coupled transport equations. Journal of Mathematical Biology. 75(5). 1047–1073. 4 indexed citations
7.
Bazargan, Kia, et al.. (2015). Proceedings - Design Automation Conference. Design Automation Conference. 31 indexed citations
8.
Ben‐Naim, E. & Arnd Scheel. (2015). Pattern selection and super-patterns in the bounded confidence model. Europhysics Letters (EPL). 112(1). 18002–18002. 2 indexed citations
9.
Faye, Grégory & Arnd Scheel. (2014). Existence of pulses in excitable media with nonlocal coupling. Advances in Mathematics. 270. 400–456. 22 indexed citations
10.
Sandstede, Björn, Arnd Scheel, Guido Schneider, & Hannes Uecker. (2011). Diffusive mixing of periodic wave trains in reaction–diffusion systems. Journal of Differential Equations. 252(5). 3541–3574. 23 indexed citations
11.
Gallay, Thierry & Arnd Scheel. (2010). Diffusive stability of oscillations in reaction-diffusion systems. Transactions of the American Mathematical Society. 363(5). 2571–2598. 4 indexed citations
12.
Hărăguş, Mariana & Arnd Scheel. (2008). Interfaces between rolls in the Swift-Hohenberg equation. 8 indexed citations
13.
Sandstede, Björn & Arnd Scheel. (2006). Curvature effects on spiral spectra: Generation of point eigenvalues near branch points. Physical Review E. 73(1). 16217–16217. 8 indexed citations
14.
Doelman, Arjen, Björn Sandstede, Arnd Scheel, & Guido Schneider. (2005). The dynamics of modulated wave trains.. Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the Netherlands. 5–92. 1 indexed citations
15.
Sandstede, Björn & Arnd Scheel. (2004). Basin boundaries and bifurcations near convective instabilities: a case study. Journal of Differential Equations. 208(1). 176–193. 10 indexed citations
16.
Efendiev, Messoud & Arnd Scheel. (1999). Upper and lower bounds for the Hausdorff dimension of the attractor for reaction-diffusion equations in $\mathbb{R}^n$ (Nonlinear Evolution Equations and Applications). Kyoto University Research Information Repository (Kyoto University). 1105(1105). 81–90. 1 indexed citations
17.
Sandstede, Björn, Arnd Scheel, & Claudia Wulff. (1997). Dynamics of Spiral Waves on Unbounded Domains Using Center-Manifold Reductions. Journal of Differential Equations. 141(1). 122–149. 60 indexed citations
18.
Scheel, Arnd. (1997). Subcritical Bifurcation to Infinitely Many Rotating Waves. Journal of Mathematical Analysis and Applications. 215(1). 252–261. 10 indexed citations
19.
Sandstede, Björn, et al.. (1997). Exponential Dichotomies for Solitary-Wave Solutions of Semilinear Elliptic Equations on Infinite Cylinders. Journal of Differential Equations. 140(2). 266–308. 83 indexed citations
20.
Wulff, Claudia, Bernold Fiedler, Björn Sandstede, & Arnd Scheel. (1996). Bifurcation from relative equilibria of noncompact group actions: Skew products, meanders, and drifts. Documenta Mathematica. 1. 479–505. 45 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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