Arnd Scheel
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American mathematician
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Arnd Scheelmathematics Degrees
Mathematics
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Measure Theory
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#4036
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#986
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Mathematics
Arnd Scheel's Degrees
- PhD Mathematics University of California, Berkeley
- Bachelors Mathematics University of California, Berkeley
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Why Is Arnd Scheel Influential?
(Suggest an Edit or Addition)According to Wikipedia, Arnd Scheel is a professor with the School of Mathematics at the University of Minnesota. Scheel earned his Ph.D. in 1994 from the Freie Universität Berlin under the supervision of Bernold Fiedler. In 2009 he was awarded the J.D. Crawford Prize of the Society for Industrial and Applied Mathematics for outstanding research in nonlinear science.
Arnd Scheel's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Absolute and convective instabilities of waves on unbounded and large bounded domains (2000) (242)
- The Dynamics of Modulated Wave Trains (2009) (133)
- Computing absolute and essential spectra using continuation (2007) (129)
- Defects in Oscillatory Media: Toward a Classification (2004) (122)
- Exponential Dichotomies for Solitary-Wave Solutions of Semilinear Elliptic Equations on Infinite Cylinders (1997) (115)
- Dynamics of Spiral Waves on Unbounded Domains Using Center-Manifold Reductions (1997) (115)
- Spatio-Temporal Dynamics of Reaction-Diffusion Patterns (2003) (99)
- Bifurcations and Dynamics of Spiral Waves (1999) (99)
- On the Structure of Spectra of Modulated Travelling Waves (2001) (92)
- On the Stability of Periodic Travelling Waves with Large Spatial Period (2001) (84)
- Bifurcation from relative equilibria of noncompact group actions: Skew products, meanders, and drifts (1996) (75)
- Corner defects in almost planar interface propagation (2006) (73)
- Relative Morse indices, Fredholm indices, and group velocities (2007) (68)
- Exponential dichotomies for linear non-autonomous functional differential equations of mixed type (2002) (65)
- Propagation of hexagonal patterns near onset (2003) (60)
- Radially Symmetric Patterns of Reaction-Diffusion Systems (2003) (58)
- Evans function and blow-u[ methods in critical eienvalue problems (2004) (58)
- Bifurcation to spiral waves in reaction-diffusion systems (1998) (57)
- Gluing unstable fronts and backs together can produce stable pulses (2000) (51)
- Diffusive mixing of periodic wave trains in reaction–diffusion systems (2011) (51)
- Essential instabilities of fronts: bifurcation, and bifurcation failure (2001) (48)
- Essential instability of pulses and bifurcations to modulated travelling waves (1999) (46)
- Superspiral structures of meandering and drifting spiral waves. (2001) (41)
- Transverse bifurcations of homoclinic cycles (1997) (41)
- Criteria for Pointwise Growth and Their Role in Invasion Processes (2013) (38)
- Instabilities of Wave Trains and Turing Patterns in Large Domains (2007) (37)
- Period-Doubling of Spiral Waves and Defects (2007) (34)
- Numerical Computation of Solitary Waves in Infinite Cylindrical Domains (2000) (34)
- Existence of pulses in excitable media with nonlocal coupling (2013) (34)
- Almost Planar Waves in Anisotropic Media (2006) (34)
- A slow pushed front in a Lotka–Volterra competition model (2012) (32)
- Hopf Bifurcation From Viscous Shock Waves (2008) (32)
- Accelerated Fronts in a Two-Stage Invasion Process (2014) (32)
- Spectral stability of wave trains in the Kawahara equation (2006) (31)
- Continuation and Bifurcation of Grain Boundaries in the Swift-Hohenberg Equation (2016) (30)
- Spectral stability of modulated travelling waves bifurcating near essential instabilities (2000) (30)
- Center-manifold reduction for spiral waves (1997) (30)
- Forced symmetry breaking of homoclinic cycles (1995) (28)
- Instability of spikes in the presence of conservation laws (2010) (28)
- Large patterns of elliptic systems in infinite cylinders (1998) (27)
- Solitary waves and their linear stability in weakly coupled KdV equations (2007) (27)
- Spatial Wavenumber Selection in Recurrent Precipitation (2011) (25)
- Center Manifolds without a Phase Space (2016) (24)
- Finite-Wavelength Stability¶of Capillary-Gravity Solitary Waves (2002) (24)
- Fredholm properties of nonlocal differential operators via spectral flow (2013) (23)
- Spinodal Decomposition and Coarsening Fronts in the Cahn–Hilliard Equation (2012) (21)
- Triggered Fronts in the Complex Ginzburg Landau Equation (2013) (21)
- Absolute instabilities of standing pulses (2005) (20)
- Randomness meets feedback: Stochastic implementation of logistic map dynamical system (2015) (20)
- Pinning and Unpinning in Nonlocal Systems (2014) (20)
- Exponential averaging for Hamiltonian evolution equations (2002) (20)
- The Saddle-Node of Nearly Homogeneous Wave Trains in Reaction–Diffusion Systems (2007) (20)
- Existence of fast traveling waves for some parabolic equations: A dynamical systems approach (1996) (19)
- A bifurcation approach to non‐planar traveling waves in reaction‐diffusion systems (2007) (19)
- Subcritical Bifurcation to Infinitely Many Rotating Waves (1997) (17)
- Coarsening Fronts (2006) (17)
- Small‐amplitude grain boundaries of arbitrary angle in the Swift‐Hohenberg equation (2014) (17)
- Linear stability and instability of ion-acoustic plasma solitary waves (2002) (16)
- Pattern‐forming fronts in a Swift–Hohenberg equation with directional quenching — parallel and oblique stripes (2017) (16)
- Hopf Bifurcation from Fronts in the Cahn–Hilliard Equation (2014) (16)
- Universal selection of pulled fronts (2020) (15)
- Coherent Structures Generated by Inhomogeneities in Oscillatory Media (2007) (15)
- Curvature effects on spiral spectra: generation of point eigenvalues near branch points. (2006) (15)
- Diffusive stability of oscillations in reaction-diffusion systems (2008) (15)
- Phase Separation Patterns from Directional Quenching (2016) (15)
- Grain boundaries in the Swift–Hohenberg equation (2012) (15)
- Pattern formation in the wake of triggered pushed fronts (2015) (14)
- Interfaces between rolls in the Swift-Hohenberg equation (2007) (14)
- Linear spreading speeds from nonlinear resonant interaction (2016) (14)
- Characterizing the Effect of Boundary Conditions on Striped Phases (2015) (14)
- Colliding dissipative pulses—The shooting manifold (2008) (13)
- Coherent structures in reaction-diffusion models for precipitation1 (2009) (13)
- Robustness of Liesegang patterns (2009) (13)
- Basin boundaries and bifurcations near convective instabilities: a case study (2005) (13)
- Lattice differential equations embedded into reaction–diffusion systems (2009) (13)
- SPATIAL HAMILTONIAN IDENTITIES FOR NONLOCALLY COUPLED SYSTEMS (2017) (13)
- Wavenumber selection in coupled transport equations (2016) (13)
- Deformation of striped patterns by inhomogeneities (2013) (13)
- Wavenumber selection via spatial parameter jump (2017) (11)
- Bifurcation from relative equilibria of . . . (1996) (11)
- Quasi-gradient systems, modulational dichotomies, and stability of spatially periodic patterns (2012) (11)
- Dynamical Behavior of Patterns with Euclidean Symmetry (1999) (11)
- Stability Analysis of Stationary Light Transmission in Nonlinear Photonic Structures (2003) (10)
- Stable pattern selection through invasion fronts in closed two-species reaction-diffusion systems (Far-From-Equilibrium Dynamics) (2012) (10)
- Uniqueness of solitary waves in the high-energy limit of FPU-type chains (2017) (10)
- Spiral Waves: Linear and Nonlinear Theory (2020) (10)
- Dislocations in an Anisotropic Swift-Hohenberg Equation (2012) (9)
- Layers in the Presence of Conservation Laws (2012) (9)
- Bifurcation to Coherent Structures in Nonlocally Coupled Systems (2017) (9)
- The effect of impurities on striped phases (2016) (9)
- Growing Stripes, with and without Wrinkles (2018) (9)
- Diffusive Stability of Turing Patterns via Normal Forms (2013) (9)
- Pushed-to-pulled front transitions: continuation, speed scalings, and hidden monotonicity (2022) (8)
- Wave train selection by invasion fronts in the FitzHugh–Nagumo equation (2017) (8)
- Universal wave-number selection laws in apical growth. (2016) (8)
- Asymptotic Stability of Critical Pulled Fronts via Resolvent Expansions Near the Essential Spectrum (2020) (7)
- Pacemakers in large arrays of oscillators with nonlocal coupling (2014) (7)
- Advection and Autocatalysis as Organizing Principles for Banded Vegetation Patterns (2018) (7)
- Fredholm properties of radially symmetric, second order differential operators (2011) (6)
- Numerical Computation of Solitary Waves on Innnite Cylinders (1998) (6)
- Invasion into remnant instability: a case study of front dynamics (2020) (5)
- Contact angle selection for interfaces in growing domains (2017) (5)
- Coherent structures near the boundary between excitable and oscillatory media (2010) (5)
- Sharp Decay Rates for Localized Perturbations to the Critical Front in the Ginzburg–Landau Equation (2021) (5)
- From Unbounded to Bounded Domains: The Fate of Point and Essential Spectrum (1999) (5)
- Instability of Radially-Symmetric Spikes in Systems with a Conserved Quantity (2012) (5)
- Pattern selection and super-patterns in the bounded confidence model (2015) (4)
- Depinning asymptotics in ergodic media (2016) (3)
- Stochastic Implementation and Analysis of Dynamical Systems Similar to the Logistic Map (2017) (3)
- Corrigendum to "Center Manifolds without a Phase Space" (2020) (3)
- Proceedings - Design Automation Conference (2015) (2)
- Absolute and convective stability in large domains (2000) (2)
- Fast travelling waves for convective reaction-diffusion equations (1993) (2)
- Advection‐diffusion dynamics with nonlinear boundary flux as a model for crystal growth (2019) (2)
- Self-organized clusters in diffusive run-and-tumble processes (2017) (2)
- Meandering Spirals (2)
- Traveling fronts bifurcating from stable layers in the presence of conservation laws (2017) (2)
- Hopf Bifurcation from Fronts in the Cahn–Hilliard Equation (2015) (1)
- Nonlinear eigenvalue methods for linear pointwise stability of nonlinear waves (2022) (1)
- Spinodal Decomposition and Coarsening Fronts in the Cahn–Hilliard Equation (2015) (1)
- Signaling gradients in surface dynamics as basis for planarian regeneration (2019) (1)
- Fast travelling waves for the de Cahn-Hillard equation in an infinite strip (1993) (1)
- Strain and Defects in Oblique Stripe Growth (2021) (1)
- Stable viscous shocks in elliptic conservation laws (2007) (1)
- Pattern Selection and Super-Patterns in Opinion Dynamics (2016) (1)
- Upper and lower bounds for the Hausdorff dimension of the attractor for reaction-diffusion equations in $\mathbb{R}^n$ (Nonlinear Evolution Equations and Applications) (1999) (1)
- Instability in large bounded domains—branched versus unbranched resonances (2020) (1)
- Pinning and depinning: From periodic to chaotic and random media. (2018) (1)
- Fronts in the wake of a parameter ramp: slow passage through pitchfork and fold bifurcations (2022) (1)
- Growing patterns (2023) (0)
- Layers in the Presence of Conservation Laws (2012) (0)
- Triggered Fronts in the Complex Ginzburg Landau Equation (2013) (0)
- Layers in the Presence of Conservation Laws Alin Pogan (2012) (0)
- Shifting consensus in a biased compromise model (2023) (0)
- Large patterns of elliptic systems in in nitecylindersBernold (2007) (0)
- 0 41 00 16 v 2 2 2 Fe b 20 05 Initialdata for Einstein ’ s equations w ith superposed gravitationalw aves (2021) (0)
- Erratum to: Triggered Fronts in the Complex Ginzburg Landau Equation (2016) (0)
- ASYMPTOTIC STABILITY OF CRITICAL PULLED FRONTS VIA (2020) (0)
- Diffusive Stability of Turing Patterns via Normal Forms (2013) (0)
- Coherent structures in nonlocal systems -- functional analytic tools (2022) (0)
- Phase Separation Patterns from Directional Quenching (2017) (0)
- Corner defects in almost planar interface propagation Défauts faibles en propagation d’interfaces planes (2006) (0)
- Wavenumber selection in coupled transport equations (2017) (0)
- Global phase diagrams of run-and-tumble dynamics: equidistribution, waves, and blowup (2018) (0)
- Dislocations in an Anisotropic Swift-Hohenberg Equation (2012) (0)
- Bifurcation to Coherent Structures in Nonlocally Coupled Systems (2017) (0)
- 3 Limiting cases I : Cahn-Hilliard and Allen-Cahn (2010) (0)
- Bifurcations and dynamics of spiral wavesBj (1998) (0)
- Advection and Autocatalysis as Organizing Principles for Banded Vegetation Patterns (2018) (0)
- H igh-accuracy com parison ofnum ericalrelativity sim ulations w ith post-N ew tonian expansions (2013) (0)
- Absolute and convective stability in large domainsBj (2007) (0)
- Pinning and Unpinning in Nonlocal Systems (2016) (0)
- Upper and lower bounds for the Hausdorff dimension of the attractor for reaction-diffusion equations in (2018) (0)
- 2 0 Ja n 20 09 H igh-accuracy w aveform s for binary black hole inspiral , m erger , and ringdow (2013) (0)
- Erratum to: Triggered Fronts in the Complex Ginzburg Landau Equation (2017) (0)
- Criteria for Pointwise Growth and Their Role in Invasion Processes (2014) (0)
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