2026 Arnd Scheel: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	33	3057	2730	1227	1027	156	4146

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

3057

2730

1227

1027

156

4146

Overview

Arnd Scheel is affiliated with the University of Minnesota in the United States. Their research spans multiple disciplines with a strong focus on nonlinear dynamics, pattern formation, and mathematical physics, reflecting an interdisciplinary approach that bridges physics and computer science.

The primary fields of study for Scheel include:

Physics and Astronomy
Computer Science

Within these fields, Scheel specializes in several subfields, such as:

Statistical and Nonlinear Physics
Computer Networks and Communications
Public Health, Environmental and Occupational Health
Mathematical Physics
Materials Chemistry

The core topics of Scheel's work cover a range of theoretical and applied subjects, notably:

Nonlinear Dynamics and Pattern Formation
Mathematical and Theoretical Epidemiology and Ecology Models
Quantum chaos and dynamical systems
Theoretical and Computational Physics
Solidification and crystal growth phenomena
Stochastic dynamics and bifurcation
Stability and Controllability of Differential Equations

Recent scholarly works by Scheel include:

Universal selection of pulled fronts, 2022, Communications of the American Mathematical Society
Spiral Waves: Linear and Nonlinear Theory, 2023, Memoirs of the American Mathematical Society
Pushed-to-Pulled Front Transitions: Continuation, Speed Scalings, and Hidden Monotonicty, 2023, Journal of Nonlinear Science
Slow passage through the Busse balloon - predicting steps on the Eckhaus staircase, 2024, European Journal of Applied Mathematics
Fronts in the Wake of a Parameter Ramp: Slow Passage through Pitchfork and Fold Bifurcations, 2023, SIAM Journal on Applied Dynamical Systems

Key frequent co-authors collaborating with Scheel are:

Montie Avery
Matt Holzer
Ryan Goh
Anthony Cortez
Tasso J. Kaper

Scheel's publications are primarily disseminated through several scholarly venues, with a notable presence in:

arXiv (Cornell University)
Nonlinearity
SIAM Journal on Applied Dynamical Systems
Journal of Dynamics and Differential Equations
Communications of the American Mathematical Society

Best Publications

Absolute and convective instabilities of waves on unbounded and large bounded domains

Björn Sandstede;Arnd Scheel

285
Citations
The Dynamics of Modulated Wave Trains

Arjen Doelman;Björn Sandstede;Arnd Scheel;Guido Schneider

181
Citations
Computing absolute and essential spectra using continuation

Jens D.M. Rademacher;Björn Sandstede;Arnd Scheel

168
Citations
Defects in oscillatory media: Toward a classification

Björn Sandstede;Arnd Scheel

161
Citations
Exponential Dichotomies for Solitary-Wave Solutions of Semilinear Elliptic Equations on Infinite Cylinders

Daniela Peterhof;Björn Sandstede;Arnd Scheel

148
Citations
Dynamics of Spiral Waves on Unbounded Domains Using Center-Manifold Reductions

Björn Sandstede;Arnd Scheel;Claudia Wulff

132
Citations
Spatio-Temporal Dynamics of Reaction-Diffusion Patterns

Bernold Fiedler;Arnd Scheel

128
Citations
Bifurcations and Dynamics of Spiral Waves

B. Sandstede;Arnd Scheel;C. Wulff

119
Citations
On the structure of spectra of modulated travelling waves

Björn Sandstede;Arnd Scheel

112
Citations
On the Stability of Periodic Travelling Waves with Large Spatial Period

Björn Sandstede;Arnd Scheel

102
Citations
Absolute versus convective instability of spiral waves

Björn Sandstede;Arnd Scheel

96
Citations
Corner defects in almost planar interface propagation

Mariana Haragus;Arnd Scheel

95
Citations
Exponential dichotomies for linear non-autonomous functional differential equations of mixed type

Jörg Härterich;Björn Sandstede;Arnd Scheel

95
Citations
Evans function and blow-up methods in critical eigenvalue problems

Björn Sandstede;Arnd Scheel

87
Citations
Gluing unstable fronts and backs together can produce stable pulses

Björn Sandstede;Arnd Scheel

77
Citations
Bifurcation to spiral waves in reaction-diffusion systems

Arnd Scheel

76
Citations
Propagation of hexagonal patterns near onset

Arjen Doelman;Björn Sandstede;Arnd Scheel;Guido Schneider

75
Citations
Essential instability of pulses and bifurcations to modulated travelling waves

B. Sandstede;A. Scheel

74
Citations
Essential instabilities of fronts: bifurcation, and bifurcation failure

Bjorn Sandstede;Arnd Scheel

73
Citations
Relative Morse indices, Fredholm indices, and group velocities

Björn Sandstede;Arnd Scheel

72
Citations

Frequent Co-Authors

Björn Sandstede Brown University

Guido Schneider University of Stuttgart

Eli Ben-Naim Los Alamos National Laboratory

Arjen Doelman Leiden University

Kevin Zumbrun Indiana University

Bernold Fiedler Freie Universität Berlin

Dmitry E. Pelinovsky McMaster University

Ian Melbourne University of Warwick

External Links

Personal website of Arnd Scheel

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